tag:blogger.com,1999:blog-29882738744447084522024-03-03T16:25:40.550-08:00HRMATEMATICASHéctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comBlogger26125tag:blogger.com,1999:blog-2988273874444708452.post-16895123439486191542024-03-03T10:47:00.000-08:002024-03-03T10:52:35.530-08:00PREGUNTAS DEL LIBRO " EL TÍO PETROS Y LA CONJETURA DE GOLDBACH" PARTE 1. MI DESTINO<p><span style="font-size: medium;"><b><span style="color: #800180;">¡ESTUDIANTES DEL CURSO 1005 LECTURA "EL HOMBRE QUE CALCULABA" Y CURSOS 1101 Y 1102 LECTURA "EL ASESINATO DEL PROFESOR DE MATEMATICAS", LAS PREGUNTAS CORRESPONDIENTES A ESTOS LIBROS SE ENCUENTRAN MAS ABAJO EN LAS SIGUIENTES ENTRADAS !.</span><span style="color: #ff00fe;"> </span></b></span></p><p><a href="http://www.librosmaravillosos.com/conjeturagoldbach/index.html"><b><span style="font-size: large;">Ir al libro "EL TÍO PETROS Y LA CONJETURA DE GOLDBACH"</span></b></a></p><p><span style="color: red; font-size: large;"><b>ESTUDIANTES DE LOS CURSOS 805 Y 806 DEL COLEGIO NUEVA COLOMBIA IED, DEBEN COPIAR Y RESPONDER LAS SIGUIENTES 32 PREGUNTAS DEL CAPITULO 1. "MI DESTINO", HASTA LA PAGINA 40 DEL LIBRO "EL TÍO PETROS Y LA CONJETURA DE GOLDBACH" Y PRESENTARLO COMPLETO Y ORDENADO A MANO, EN HOJAS BLANCAS O CUADRICULADAS, EL DIA ABRIL 1 DE 2024.</b></span></p><p><span style="color: #38761d; font-size: large;"><b>Cualquier copia o plagio entre compañeros (as) será anulado el trabajo para las y los estudiantes involucrados.</b></span></p><p><span style="color: #38761d; font-size: large;"></span></p><div class="separator" style="clear: both; text-align: center;"><span style="color: #38761d; font-size: large;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8mPaVmpiF9aXzLNkrXTJeUZfWchAf1NoKYt4x_aJWKJ1lhwgLnZaMVOxCKG367tb5xNmHLJ1C5F_V4hJct_KnWG0gWfhegbynTjW09i6NcFHV2lHZmh8ONS2IzadmFKNfgeadpcX1haSAIvfWSRWy6lpcDlSp5nEIZFhF-XcJ7IcpDCq076-C3d-SEmg/s1591/ni%C3%B1o%20numeros.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1083" data-original-width="1591" height="218" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8mPaVmpiF9aXzLNkrXTJeUZfWchAf1NoKYt4x_aJWKJ1lhwgLnZaMVOxCKG367tb5xNmHLJ1C5F_V4hJct_KnWG0gWfhegbynTjW09i6NcFHV2lHZmh8ONS2IzadmFKNfgeadpcX1haSAIvfWSRWy6lpcDlSp5nEIZFhF-XcJ7IcpDCq076-C3d-SEmg/s320/ni%C3%B1o%20numeros.jpg" width="320" /></a></span></div><p></p><p><span style="color: #38761d; font-size: large;"><b>PREGUNTAS:</b></span></p><p><b><span style="font-size: large;">1. Investigue y defina que es una CONJETURA
</span></b></p><p><b><span style="font-size: large;">2. Porque se dice que la Matemática es una ciencia o un lenguaje?
</span></b></p><p><b><span style="font-size: large;">3. Porque la Matemática es un reino remoto?
</span></b></p><p><b><span style="font-size: large;">4. Cual es el personaje central del libro “ El Tío Petros y la Conjetura de Golbach”?
</span></b></p><p><b><span style="font-size: large;">5. Quién es el Tío Petros?
</span></b></p><p><b><span style="font-size: large;">6. Enuncie el problema que le plantea el Tío Petros al sobrino.
</span></b></p><p><b><span style="font-size: large;">7. Porque se considera al tío Petros como la oveja negra de la familia?
</span></b></p><p><b><span style="font-size: large;">8. Al sobrino favorito del tío Petros, que le dejo de herencia? Cuáles libros conservó?
</span></b></p><p><b><span style="font-size: large;">9. La familia del tío Petros, donde lo visitaban cada año y con que motivo?
</span></b></p><p><b><span style="font-size: large;">10. Describa como veía el sobrino narrador de la historia al tío Petros.
</span></b></p><p><b><span style="font-size: large;">11. Que hace el tío Petros? Cuáles son sus actividades diarias?
</span></b></p><p><b><span style="font-size: large;">12. Qué es una jugada de Karo-Cann que practicaba el tío Petros?
</span></b></p><p><b><span style="font-size: large;">13. Haga una breve descripción, como hace el narrador, de la casa del tío Petros.
</span></b></p><p><b><span style="font-size: large;">14. Qué descubrió el sobrino con la llamada de la Sociedad Helénica de Matemáticas?
</span></b></p><p><b><span style="font-size: large;">15. Qué decía la invitación que llegó al tercer día?
</span></b></p><p><b><span style="font-size: large;">16. Después de irle a llevar la invitación al tío Petros, como lo descubrió el padre y cuál fue el castigo impuesto?
</span></b></p><p><b><span style="font-size: large;">17. Qué le contó el padre, con respecto a la vida del tío Petros y su relación con sus hermanos menores?
</span></b></p><p><b><span style="font-size: large;">18. Qué pasó en 1925?
</span></b></p><p><b><span style="font-size: large;">19. Cuál fue el error grave que cometió el tío Petros, para que sus hermanos, lo odiarán tanto?
</span></b></p><p><b><span style="font-size: large;">20. Cual es el secreto de la vida según el hermano del tío Petros?
</span></b></p><p><b><span style="font-size: large;">21. Qué efecto causó en el narrador de esta historia, los consejos de su padre?
</span></b></p><p><b><span style="font-size: large;">22. En la conferencia ' Logica Formal y los Cimientos de las Matemáticas’, a quién hacían homenaje y porque razón?
</span></b></p><p><b><span style="font-size: large;">23. A cuáles matemáticos y sus teorías, nombraron los conferencistas?
</span></b></p><p><b><span style="font-size: large;">24. Porqué el sobrino del tío Petros, narrador de esta historia, quería estudiar Matemáticas?
</span></b></p><p><b><span style="font-size: large;">25. Según el tío Petros, de que tratan las verdaderas Matemáticas?
</span></b></p><p><b><span style="font-size: large;">26. Cuál fue el problema que le propuso el tío Petros, al sobrino, para que si lo resolvía, tenía talento para ser un buen matemático?
</span></b></p><p><b><span style="font-size: large;">27. Pudo el sobrino, resolver el problema en los tres meses que le dio el tío Petros, porque?
</span></b></p><p><b><span style="font-size: large;">28. En la conversación por no haber resuelto el problema de Matemáticas, qué le prometió el sobrino al tío Petros?
</span></b></p><p><b><span style="font-size: large;">29. Quien era Sammy Epstein y porque sacó de casillas al sobrino del tío Petros?
</span></b></p><p><b><span style="font-size: large;">30. Qué hizo el sobrino de Petros para calmar la ira que le había causado la mentira del tío?
</span></b></p><p><b><span style="font-size: large;">31. Porqué el amigo Sammy dice que el tío Petros es un impostor?
</span></b></p><p><b><span style="font-size: large;">32. A qué fue el sobrino a visitar al tío Petros?
</span></b></p><p><span style="color: red; font-size: large;"><b>ESTUDIANTES DE LOS CURSOS 805 Y 806 DEL COLEGIO NUEVA COLOMBIA IED, DEBEN COPIAR Y RESPONDER LAS SIGUIENTES 32 PREGUNTAS DEL CAPITULO 1. "MI DESTINO", HASTA LA PAGINA 40 DEL LIBRO "EL TÍO PETROS Y LA CONJETURA DE GOLDBACH" Y PRESENTARLO COMPLETO Y ORDENADO A MANO, EN HOJAS BLANCAS O CUADRICULADAS, EL DIA ABRIL 1 DE 2024.</b></span></p><p><span style="color: #38761d; font-size: large;"><b>Cualquier copia o plagio entre compañeros (as) será anulado el trabajo para las y los estudiantes involucrados.</b></span></p><p><span style="color: #38761d; font-size: large;"><a href="http://www.librosmaravillosos.com/conjeturagoldbach/index.html" style="font-size: medium;"><b><span style="font-size: large;">Ir al libro "EL TÍO PETROS Y LA CONJETURA DE GOLDBACH"</span></b></a></span></p><p>
</p>Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-36115887547984875122024-03-03T10:20:00.000-08:002024-03-03T10:20:54.744-08:00PREGUNTAS DEL LIBRO "EL HOMBRE QUE CALCULABA" CAP 1 - 12<p> <a href="http://www.librosmaravillosos.com/hombrecalculaba/index.html"><span style="font-size: large;">Ir al libro "EL HOMBRE QUE CALCULABA"</span></a></p>
<p style="text-align: left;"><span style="background-color: #cfe2f3; font-size: large;"><b style="font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;">HOLA: ESTUDIANTES DEL CURSO 1005 <span style="color: magenta;">PROM 2025</span>, DEL COLEGIO NUEVA COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS 1 AL 12 DE LA OBRA “EL HOMBRE QUE CALCULABA” COPIAR LAS 39 PREGUNTAS Y RESPONDERLAS A MANO EN HOJAS CUADRICULADAS Y ENTREGARLAS DEBIDAMENTE MARCADAS CON PORTADA … GRACIAS…EL PLAZO MÁXIMO ES DÍA ABRIL 1 DE 2024 DESPUÉS DE ESTA FECHA NO SE TENDRÁN EN CUENTA ‼‼‼ LUEGO SE RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES EVALUACIONES. Cualquier duda déjela como comentario o preguntar en clase. El trabajo es individual, si se nota COPIA o PLAGIO de trabajos de otros compañeros, serán anulados y no se tendrán en cuenta</b><b>.</b></span></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #2b00fe; font-family: "Times New Roman",serif; font-size: large; line-height: 115%; mso-fareast-font-family: Calibri;">.</span></b></p><div class="separator" style="clear: both; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #2b00fe; font-family: "Times New Roman",serif; font-size: large; line-height: 115%; mso-fareast-font-family: Calibri;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisqXmbWycsuNTJUelAXanytKLntoTCiYvACSyHIOi46qLQ0rVETqBTqLezXfpdyVvkBXnc4yMZvzsTgXGbDUxVJPwnqRO2fL-vqNwbkWpnCW0Cf-oOUZ_nk4VAaH4WQxmKFO-4NbO_Fg4iQOxAciKr8UBQLQyd_G0DtIfEwdiHftSJMbnwJ75FTOBy46U/s1200/joven-estudiando.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1200" data-original-width="1197" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisqXmbWycsuNTJUelAXanytKLntoTCiYvACSyHIOi46qLQ0rVETqBTqLezXfpdyVvkBXnc4yMZvzsTgXGbDUxVJPwnqRO2fL-vqNwbkWpnCW0Cf-oOUZ_nk4VAaH4WQxmKFO-4NbO_Fg4iQOxAciKr8UBQLQyd_G0DtIfEwdiHftSJMbnwJ75FTOBy46U/w318-h320/joven-estudiando.jpg" width="318" /></a></span></b></div><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #2b00fe; font-family: "Times New Roman",serif; font-size: large; line-height: 115%; mso-fareast-font-family: Calibri;"><br /></span></b><p></p>
<p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #00b050; font-family: "Times New Roman",serif; font-size: large; line-height: 115%; mso-fareast-font-family: Calibri;">INTRODUCCION Y CAPÍTULO 1<o:p></o:p></span></b></p>
<p class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">1.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">Haga una breve Biografía de cada uno de los
siete Matemáticos a los cuales el autor les dedica el Libro.<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">2.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">¿Cómo está narrada la historia? ¿Y quién la
narra?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">3.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">Breve biografía del autor del Libro “El Hombre
Que Calculaba”<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">4.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">¿Qué hacía el “Hombre que Calculaba” cuando lo
encontró el narrador de esta historia?<o:p></o:p></span></b></span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 36.0pt; margin-right: 0cm; margin-top: 0cm; margin: 0cm 0cm 0cm 36pt; mso-add-space: auto;"><span style="font-family: "Times New Roman",serif; font-size: large; mso-ansi-language: ES-CO; mso-fareast-font-family: Calibri;"><o:p><b> </b></o:p></span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #0070c0; font-family: "Times New Roman",serif; font-size: large; mso-fareast-font-family: Calibri;">CAPÍTULO
2<o:p></o:p></span></b></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 36.0pt; margin-right: 0cm; margin-top: 0cm; margin: 0cm 0cm 0cm 36pt; mso-add-space: auto;"><span style="font-family: "Times New Roman",serif; font-size: large; mso-ansi-language: ES-CO; mso-fareast-font-family: Calibri;"><o:p><b> </b></o:p></span></p>
<p class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">5.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">¿Cómo se llamaba el “Hombre que Calculaba” de
donde era, que edad tenía y a que labores se había dedicado?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">6.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">Describa brevemente como logró la habilidad de
contar o ser calculista: Beremís Samir.<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">7.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">Según el narrador de la historia en que
trabajos se podía emplear el “Hombre que Calculaba” al poseer esa habilidad de
contar.<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">8.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">Hacia donde se dirigían estos dos personajes,
y de donde era Malba Tahan como narrador de esta historia.<o:p></o:p></span></b></span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 36.0pt; margin-right: 0cm; margin-top: 0cm; margin: 0cm 0cm 0cm 36pt; mso-add-space: auto;"><span style="font-family: "Times New Roman",serif; font-size: large; mso-ansi-language: ES-CO; mso-fareast-font-family: Calibri;"><o:p><b> </b></o:p></span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #ffc000; font-family: "Times New Roman",serif; font-size: large; mso-fareast-font-family: Calibri;">CAPÍTULO
3<o:p></o:p></span></b></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 36.0pt; margin-right: 0cm; margin-top: 0cm; margin: 0cm 0cm 0cm 36pt; mso-add-space: auto;"><span style="font-family: "Times New Roman",serif; font-size: large; mso-ansi-language: ES-CO; mso-fareast-font-family: Calibri;"><o:p><b> </b></o:p></span></p>
<p class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">9.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">Sobre el problema de los 35 camellos. ¿Cuántos
hermanos discutían por la herencia y cuánto les había dejado a cada uno el
padre en el testamento?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">10.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">¿Cómo hizo Beremís para solucionar esta
discusión y que todos quedasen contentos y agradecidos y él quedar con un jamal
de ganancia por haber solucionado este problema?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">11.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">¿Cuál es la razón de además de darle a cada
uno más de lo que le correspondía sobrara un camello?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">12.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">Invente un problema similar con diferente
cantidad de camellos.<o:p></o:p></span></b></span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 36.0pt; margin-right: 0cm; margin-top: 0cm; margin: 0cm 0cm 0cm 36pt; mso-add-space: auto;"><span style="font-family: "Times New Roman",serif; font-size: large; mso-ansi-language: ES-CO; mso-fareast-font-family: Calibri;"><o:p><b> </b></o:p></span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #7030a0; font-family: "Times New Roman",serif; font-size: large; mso-fareast-font-family: Calibri;">CAPÍTULO
4<o:p></o:p></span></b></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 36.0pt; margin-right: 0cm; margin-top: 0cm; margin: 0cm 0cm 0cm 36pt; mso-add-space: auto;"><span style="font-family: "Times New Roman",serif; font-size: large; mso-ansi-language: ES-CO; mso-fareast-font-family: Calibri;"><o:p><b> </b></o:p></span></p>
<p class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">13.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">Que le había pasado al rico sheik Salem
Nasair?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">14.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">¿Cuántos panes llevaba cada uno de nuestros personajes?
Cómo los repartieron y como quedó de pagarles el sheik?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">15.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">Porque si parece lógico que<span style="mso-spacerun: yes;"> </span>al calculista que dio 5 panes le toquen 5
monedas de oro y al autor 3 monedas ya que dio 3 panes para compartir. No sea
esta división justa ni exacta en Matemáticas?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">16.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">Como plantea Beremís Samir que es justa y
exacta la división? Cuántos panes comió cada uno? Y según eso cuántas monedas
le corresponde a cada uno?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">17.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">Cuando el visir Ibraim Maluf dice del joven
calculista: sabio habilísimo en los cálculos Aritméticos, bueno como amigo y
generoso como compañero. A que se refiere?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">18.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">Con cuántas monedas al final se quedó cada
uno?<o:p></o:p></span></b></span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 36.0pt; margin-right: 0cm; margin-top: 0cm; margin: 0cm 0cm 0cm 36pt; mso-add-space: auto;"><span style="font-family: "Times New Roman",serif; font-size: large; mso-ansi-language: ES-CO; mso-fareast-font-family: Calibri;"><o:p><b> </b></o:p></span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: red; font-family: "Times New Roman",serif; font-size: large; mso-fareast-font-family: Calibri;">CAPÍTULO
5<o:p></o:p></span></b></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 36.0pt; margin-right: 0cm; margin-top: 0cm; margin: 0cm 0cm 0cm 36pt; mso-add-space: auto;"><span style="font-family: "Times New Roman",serif; font-size: large; mso-ansi-language: ES-CO; mso-fareast-font-family: Calibri;"><o:p><b> </b></o:p></span></p>
<p class="MsoListParagraphCxSpFirst" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">19.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">Del Capítulo 5 (Problema del Joyero). Sobre el
mercader y sus tres hijos porque le dio el premio de 23 dracmas al mediano de
los hijos?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">20.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">De acuerdo al posadero Salim y al joyero
cuanto pedía cada uno? Cuál era la diferencia entre los dos? Y porque estaban
equivocados juntos?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">21.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">Cómo resolvió este problema el calculista?
Cuánto pago el joyero al dueño de la hospedería?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">22.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">Cuál fue el regalo que le dio el joyero al
“Hombre que Calculaba”?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">23.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">Cuál fue la pequeña diferencia que el
calculista no tuvo en cuenta por falta de recursos?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">24.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">Cómo explica Beremís la afirmación: “De la
incertidumbre de los cálculos es que resulta indiscutible el prestigio de la Matemática”?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">25.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-fareast-font-family: Calibri;">Antes Bagdad, de que país era la capital? Y
Ahora? Quien fue Mahoma?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpLast" style="line-height: normal; margin-bottom: 0cm; mso-add-space: auto;"><span style="font-family: "Times New Roman",serif; font-size: large; mso-fareast-font-family: Calibri;"><o:p><b> </b></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #00b050; font-family: "Times New Roman",serif; font-size: large; line-height: 115%;">CAPÍTULO 6<o:p></o:p></span></b></p>
<p class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto;"><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman",serif; font-size: large; line-height: 115%;"><o:p> </o:p></span></b></p>
<p class="MsoListParagraphCxSpMiddle" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; line-height: 115%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">26.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;"> </span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; line-height: 115%;">Cuántos
camellos había en el patio del visir Maluf? Como hizo para hallar este número?
Y porqué es mejor regalarle como dote al padre de la novia 256 camellos?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; line-height: 115%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">27.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;"> </span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; line-height: 115%;">Explique
porque entre 13 y 16 existe una “<span style="mso-bidi-font-weight: normal;">amistad
cuadrática</span>”.<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpLast" style="margin-bottom: 0cm; mso-add-space: auto;"><span style="font-family: "Times New Roman",serif; font-size: large; line-height: 115%;"><o:p><b> </b></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #e36c0a; font-family: "Times New Roman",serif; font-size: large; line-height: 115%; mso-themecolor: accent6; mso-themeshade: 191;">CAPÍTULO 7<o:p></o:p></span></b></p>
<p class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto;"><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman",serif; font-size: large; line-height: 115%;"><o:p> </o:p></span></b></p>
<p class="MsoListParagraphCxSpMiddle" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; line-height: 115%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">28.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;"> </span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; line-height: 115%;">Así
como hizo el calculista para escribir los números de cero a diez utilizando
cuatro cuatros. Escriba los números de 0 a 10, utilizando cuatro veces el 3 y
tres veces el número 9, con las operaciones aritméticas.<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; line-height: 115%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">29.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;"> </span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; line-height: 115%;">De
acuerdo al relato sobre el Rey de Yemen Omeya, hecho por Beremís, porque al
final el visir sufrió un ataque al corazón, por la sentencia del rey, y no era
para menos.<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpLast" style="margin-bottom: 0cm; mso-add-space: auto;"><span style="font-family: "Times New Roman",serif; font-size: large; line-height: 115%;"><o:p><b> </b></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #00b0f0; font-family: "Times New Roman",serif; font-size: large; line-height: 115%;">CAPÍTULO 8<o:p></o:p></span></b></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="font-family: "Times New Roman",serif; font-size: large; line-height: 115%;"><o:p> </o:p></span></b></p>
<p class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; line-height: 115%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">30.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;"> </span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; line-height: 115%;">Así
como hizo Beremís la repartición de los 21 vasos; si fueran 15 vasos: 5 llenos,
5 semillenos y 5 vacíos como se repartirían entre 3 personas de tal forma que
cada uno tuviera igual cantidad de vasos y de líquido?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; line-height: 115%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">31.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;"> </span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; line-height: 115%;">De
acuerdo al relato sobre Avicena, cuál fue el motivo que llevó al ladrón del
camello a delatarse? Que es una curva Logarítmica y en que partes de la
naturaleza se encuentra?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpLast" style="margin-bottom: 0cm; mso-add-space: auto;"><span style="font-family: "Times New Roman",serif; font-size: large; line-height: 115%;"><o:p><b> </b></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #c00000; font-family: "Times New Roman",serif; font-size: large; line-height: 115%;">CAPÍTULO 9<o:p></o:p></span></b></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="font-family: "Times New Roman",serif; font-size: large; line-height: 115%;"><o:p> </o:p></span></b></p>
<p class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; line-height: 115%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">32.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;"> </span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; line-height: 115%;">Que
le sucederá a Telassim, la hija de Iezid, después de los 18 años? Qué debía
aprender para que no le sucediera eso?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; line-height: 115%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">33.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;"> </span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; line-height: 115%;">Aceptó
el calculista dar clases a esta singular alumna? En qué condiciones? Quien fue
Hipatia?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpLast" style="margin-bottom: 0cm; mso-add-space: auto;"><span style="font-family: "Times New Roman",serif; font-size: large; line-height: 115%;"><o:p><b> </b></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #00b050; font-family: "Times New Roman",serif; font-size: large; line-height: 115%;">CAPÍTULO 10<o:p></o:p></span></b></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="font-family: "Times New Roman",serif; font-size: large; line-height: 115%;"><o:p> </o:p></span></b></p>
<p class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; line-height: 115%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">34.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;"> </span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; line-height: 115%;">Qué
son números perfectos?<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; line-height: 115%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">35.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;"> </span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; line-height: 115%;">Halle
la fórmula para hallar números perfectos y escriba y demuestre los primeros 6.<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpLast" style="margin-bottom: 0cm; mso-add-space: auto;"><span style="font-family: "Times New Roman",serif; font-size: large; line-height: 115%;"><o:p><b> </b></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #ffc000; font-family: "Times New Roman",serif; font-size: large; line-height: 115%;">CAPÍTULO 11<o:p></o:p></span></b></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="font-family: "Times New Roman",serif; font-size: large; line-height: 115%;"><o:p> </o:p></span></b></p>
<p class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; line-height: 115%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">36.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;"> </span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; line-height: 115%;">Defina
los términos que el calculista, le explicó a Telassim.<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpMiddle" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; line-height: 115%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">37.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;"> </span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; line-height: 115%;">Según
Beremís cuáles son las siete artes divinas y las ciencias humanas.<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpLast" style="margin-bottom: 0cm; mso-add-space: auto;"><span style="font-family: "Times New Roman",serif; font-size: large; line-height: 115%;"><o:p><b> </b></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #7030a0; font-family: "Times New Roman",serif; font-size: large; line-height: 115%;">CAPÍTULO 12<o:p></o:p></span></b></p>
<p class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto;"><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman",serif; font-size: large; line-height: 115%;"><o:p> </o:p></span></b></p>
<p class="MsoListParagraphCxSpMiddle" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; line-height: 115%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">38.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;"> </span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; line-height: 115%;">Defina
que es una curva llamada <span style="mso-bidi-font-weight: normal;">catenaria</span> y
de un ejemplo.<o:p></o:p></span></b></span></p>
<p class="MsoListParagraphCxSpLast" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-size: large;"><b><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; line-height: 115%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">39.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;"> </span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; line-height: 115%;">Explique
porque fallaba el negocio de los 60 melones al reunir todos los de los 2
precios diferentes.<o:p></o:p></span></b></span></p>
<p class="MsoNormal"><span style="font-size: large; mso-ansi-language: ES-CO;"><o:p><b> </b></o:p></span></p><div class="separator" style="clear: both; text-align: center;"><span style="font-size: large; mso-ansi-language: ES-CO;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj4X5R860hnE-ZClvshruLOMmLn1egZuJrfgXOY0DZVnXR702YWp7xBE7Ifktiv7dOLnyHPwBQ0kokPtrCrWipV5-7AXM0iYNYPu6vTHomrBWSVCTOYEgU2SZzIfMnJInrNTtNvCLf5P9ZnbztP60xfWaCV5CyOub76kz2Z9nZKu5Oo4b-wEh9Kc92M2kI/s289/409.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="180" data-original-width="289" height="199" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj4X5R860hnE-ZClvshruLOMmLn1egZuJrfgXOY0DZVnXR702YWp7xBE7Ifktiv7dOLnyHPwBQ0kokPtrCrWipV5-7AXM0iYNYPu6vTHomrBWSVCTOYEgU2SZzIfMnJInrNTtNvCLf5P9ZnbztP60xfWaCV5CyOub76kz2Z9nZKu5Oo4b-wEh9Kc92M2kI/w320-h199/409.jpg" width="320" /></a></b></span></div><span style="font-size: large; mso-ansi-language: ES-CO;"><b><span style="font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;"><p class="MsoNormal"><span style="font-size: large; mso-ansi-language: ES-CO;"><o:p><span style="font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;"><br /></span></o:p></span></p>HOLA: ESTUDIANTES DEL CURSO 1005 <span style="color: magenta;">PROM 2025</span>, DEL COLEGIO NUEVA COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS 1 AL 12 DE LA OBRA “EL HOMBRE QUE CALCULABA” COPIAR LAS 39 PREGUNTAS Y RESPONDERLAS A MANO EN HOJAS CUADRICULADAS Y ENTREGARLAS DEBIDAMENTE MARCADAS CON PORTADA … GRACIAS…EL PLAZO MÁXIMO ES DÍA ABRIL 1 DE 2024 DESPUÉS DE ESTA FECHA NO SE TENDRÁN EN CUENTA ‼‼‼ LUEGO SE RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES EVALUACIONES. Cualquier duda déjela como comentario o preguntar en clase. El trabajo es individual, si se nota COPIA o PLAGIO de trabajos de otros compañeros, serán anulados y no se tendrán en cuenta</span>.</b></span><p></p>
<!--EndFragment-->Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-21906665790900068722024-03-03T09:44:00.000-08:002024-03-03T09:52:51.345-08:00PREGUNTAS SOBRE EL LIBRO "EL ASESINATO DEL PROFESOR DE MATEMÁTICAS" CAP 1-6<div class="MsoNormal">
<b><a href="https://sites.google.com/site/hrmatematicas/"><span style="color: #274e13; font-size: large;">IR A LA PAGINA WEB "HRMATEMATICAS"</span></a></b></div>
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<b><span style="color: purple; font-size: large;"><a href="https://www.secst.cl/upfiles/documentos/31072018_848am_5b6076cd2e28b.pdf">IR AL LIBRO "EL ASESINATO DEL PROFESOR DE MATEMÁTICAS"</a></span></b></div>
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<b><span style="font-size: large;"><br /></span></b></div>
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<b><span style="color: red; font-size: large;">PREGUNTAS SOBRE EL LIBRO “EL ASESINATO DEL PROFESOR DE
MATEMÁTICAS”</span></b></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgxr6afShTbbb_YA7XN4Yq9bhruM5I8ym9a4gmjfWtxDd2pPL5jUJd0-mCAzYjjFRTPnFpaUOqiNLDTM8W1M5jzsPbvL6Yc8M1pKulzDLfB0Zu0XBqqmNwfxjuxQXoRCIqHktSWkJaF7cg/s1600/172.jpg" style="margin-left: 1em; margin-right: 1em;"><span style="font-size: large;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgxr6afShTbbb_YA7XN4Yq9bhruM5I8ym9a4gmjfWtxDd2pPL5jUJd0-mCAzYjjFRTPnFpaUOqiNLDTM8W1M5jzsPbvL6Yc8M1pKulzDLfB0Zu0XBqqmNwfxjuxQXoRCIqHktSWkJaF7cg/s1600/172.jpg" width="316" /></span></a></div>
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<span style="color: blue; font-size: large;"><b style="background-color: yellow;">CAPÍTULOS 1 – 6</b></span><br />
<span style="color: blue; font-size: large;"><b style="background-color: yellow;"><br /></b></span>
<span style="color: blue; font-size: large;"><b style="background-color: yellow;"><br /></b></span></div>
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<span style="background-color: #cfe2f3; font-size: large;"><b style="font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;">HOLA: ESTUDIANTES DEL CURSOS 1101 Y 1102 <span style="color: magenta;">PROM 2024</span>, DEL COLEGIO NUEVA COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS 1 AL 6 DE LA OBRA “EL ASESINATO DEL PROFESOR DE MATEMÁTICAS” COPIAR LAS 18 PREGUNTAS Y RESPONDERLAS A MANO EN HOJAS CUADRICULADAS Y ENTREGARLAS DEBIDAMENTE MARCADAS CON PORTADA … GRACIAS…EL PLAZO MÁXIMO ES DÍA ABRIL 1 DE 2024 DESPUÉS DE ESTA FECHA NO SE TENDRÁN EN CUENTA ‼‼‼ LUEGO SE RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES EVALUACIONES. Cualquier duda déjela como comentario o preguntar en clase. El trabajo es individual, si se nota COPIA o PLAGIO de trabajos de otros compañeros, serán anulados y no se tendrán en cuenta</b><b>.</b></span></div>
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<b><span style="color: magenta; font-size: large;">Capítulo 1</span></b></div>
<div class="MsoListParagraphCxSpFirst" style="margin-left: 1cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -1cm;">
<!--[if !supportLists]--><span style="font-size: large;"><b>1.
<!--[endif]-->Cuáles son las características físicas de cada
uno de los estudiantes Nico, Adela y Luc?</b></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-bottom: 0cm; margin-left: 1.0cm; margin-right: 0cm; margin-top: 0cm; margin: 0cm 0cm 0cm 1cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -1cm;">
<!--[if !supportLists]--><span style="font-size: large;"><b>2.
<!--[endif]-->Cuál es el pasatiempo favorito de cada uno de
los estudiantes?</b></span></div>
<div class="MsoListParagraphCxSpLast" style="margin-bottom: 0cm; margin-left: 1.0cm; margin-right: 0cm; margin-top: 0cm; margin: 0cm 0cm 0cm 1cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -1cm;">
<!--[if !supportLists]--><span style="font-size: large;"><b>3.
<!--[endif]-->Para qué los llamó el profesor de Matemáticas
Felipe Romero?</b></span></div>
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<span style="font-size: large;"><b><br /></b></span></div>
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<b><span style="color: #990000; font-size: large;">Capítulo 2</span></b></div>
<div class="MsoListParagraphCxSpFirst" style="margin-left: 1cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -1cm;">
<!--[if !supportLists]--><span style="font-size: large;"><b>4.
<!--[endif]-->Cuáles comentarios hacían los tres estudiantes
de cada uno de los profesores: Amalia, Jacinta Bruno y Marta Luz con respecto
al profesor de Matemáticas?</b></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 1cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -1cm;">
<!--[if !supportLists]--><span style="font-size: large;"><b>5.
<!--[endif]-->Quién era el Palmiro?</b></span></div>
<div class="MsoListParagraphCxSpLast" style="margin-left: 1cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -1cm;">
<!--[if !supportLists]--><span style="font-size: large;"><b>6.
<!--[endif]--> Quienes estaban discutiendo en la oficina
del Director del Colegio?</b></span></div>
<div class="MsoNormal">
<span style="font-size: large;"><b><br /></b></span></div>
<div class="MsoNormal">
<b><span style="color: #38761d; font-size: large;">Capítulo 3</span></b></div>
<div class="MsoListParagraphCxSpFirst" style="margin-left: 1cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -1cm;">
<!--[if !supportLists]--><span style="font-size: large;"><b>7.
<!--[endif]-->Al presentar el examen de Matemáticas qué
diferencia hay con cada uno de sus pasatiempos favoritos?</b></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-bottom: 0cm; margin-left: 1.0cm; margin-right: 0cm; margin-top: 0cm; margin: 0cm 0cm 0cm 1cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -1cm;">
<!--[if !supportLists]--><span style="font-size: large;"><b>8.
<!--[endif]-->Quienes eran los primeros que entregaban
siempre? Y porqué sabían tanto?</b></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 1cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -1cm;">
<!--[if !supportLists]--><span style="font-size: large;"><b>9.
<!--[endif]-->Ya en el solar comentando, a cada uno que lo
pondrán a hacer en verano?</b></span></div>
<div class="MsoListParagraphCxSpLast" style="margin-left: 42.75pt; mso-add-space: auto;">
<span style="font-size: large;"><b><br /></b></span></div>
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<span style="font-size: large;"><b><br /></b></span></div>
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<b><span style="color: #e69138; font-size: large;">Capítulo 4</span></b></div>
<div class="MsoListParagraphCxSpFirst" style="margin-left: 1cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -1cm;">
<!--[if !supportLists]--><span style="font-size: large;"><b>10.
<!--[endif]-->Qué consejos les dio el profesor Fepe cuando se
encontraron con él?</b></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 1cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -1cm;">
<!--[if !supportLists]--><span style="font-size: large;"><b>11.
<!--[endif]-->De acuerdo a los ejemplos de Felipe Romero
sobre: duplicar un número, triplicar un número, número par o impar en cada
mano; dé un ejemplo de cada uno como los enunciados en el capítulo.</b></span></div>
<div class="MsoListParagraphCxSpLast" style="margin-left: 1cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -1cm;">
<!--[if !supportLists]--><span style="font-size: large;"><b>12.
<!--[endif]--> Con los siguientes grupos de números
construya cuadrados mágicos que nos den el resultado solicitado como los del
ejemplo del Profesor:</b></span></div>
<div class="MsoNormal">
<span style="font-size: large;"><b> a) 1, 3, 5,
7, 9, 11, 13, 15, 17 que sumados den 27</b></span></div>
<div class="MsoNormal">
<span style="font-size: large;"><b> b) 4, 8, 12,
16, 20, 24, 28, 32, 36 que sumados den 70</b></span></div>
<div class="MsoNormal">
<span style="font-size: large;"><b> c) 2, 4, 6,
8, 10, 12, 14, 16, 18 que sumados den 30</b></span></div>
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<span style="font-size: large;"><b><br /></b></span></div>
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<span style="font-size: large;"><b><br /></b></span></div>
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<b><span style="font-size: large;"><span style="color: #134f5c;">Capitulo 5</span><o:p></o:p></span></b></div>
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<!--[if !supportLists]--><span style="font-size: large;"><b>13.
<!--[endif]-->Qué hicieron esa noche Adela, Lucas y Nico?</b></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 1cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -1cm;">
<!--[if !supportLists]--><span style="font-size: large;"><b>14.
<!--[endif]-->Qué le dijo Luc al papá cuando le preguntó por
el examen de Matemáticas?</b></span></div>
<div class="MsoListParagraphCxSpLast" style="margin-left: 1cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -1cm;">
<!--[if !supportLists]--><span style="font-size: large;"><b>15.
<!--[endif]--> Qué
esperaban de Felipe Romero?</b></span></div>
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<span style="font-size: large;"><b><br /></b></span></div>
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<b><span style="color: blue; font-size: large;">Capítulo 6</span></b></div>
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<!--[if !supportLists]--><span style="font-size: large;"><b>16.
<!--[endif]-->Para pasar Matemáticas; cuántos problemas les
plantea el profesor?</b></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-bottom: 0cm; margin-left: 1.0cm; margin-right: 0cm; margin-top: 0cm; margin: 0cm 0cm 0cm 1cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -1cm;">
<!--[if !supportLists]--><span style="font-size: large;"><b>17.
<!--[endif]-->Cuántas pruebas matemáticas y cuántas de
ingenio?</b></span></div>
<div class="MsoListParagraphCxSpLast" style="margin-bottom: 0cm; margin-left: 1.0cm; margin-right: 0cm; margin-top: 0cm; margin: 0cm 0cm 0cm 1cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -1cm;">
<!--[if !supportLists]--><span style="font-size: large;"><b>18.
<!--[endif]-->Cuál es la estrategia para resolver los
problemas y solucionar el caso?</b></span></div>
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<div class="MsoNormal"><span style="background-color: #cfe2f3;"><b style="font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: x-large;">HOLA: ESTUDIANTES DEL CURSOS 1101 Y 1102 <span style="color: magenta;">PROM 2024</span>, DEL COLEGIO NUEVA COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS 1 AL 6 DE LA OBRA “EL ASESINATO DEL PROFESOR DE MATEMÁTICAS” COPIAR LAS 18 PREGUNTAS Y RESPONDERLAS A MANO EN HOJAS CUADRICULADAS Y ENTREGARLAS DEBIDAMENTE MARCADAS CON PORTADA … GRACIAS…EL PLAZO MÁXIMO ES DÍA ABRIL 1 DE 2024 DESPUÉS DE ESTA FECHA NO SE TENDRÁN EN CUENTA ‼‼‼ LUEGO SE RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES EVALUACIONES. Cualquier duda déjela como comentario o preguntar en clase. El trabajo es individual, si se nota COPIA o PLAGIO de trabajos de otros compañeros, serán anulados y no se tendrán en cuenta</b><b style="font-size: x-large;">.</b></span></div><div class="MsoNormal"><br /></div></div>
<span style="font-size: large;"><span face=""calibri" , "sans-serif"" style="line-height: 115%;">Para leer el libro, de clic sobre el título, o
vaya al enlace: <a href="https://www.secst.cl/upfiles/documentos/31072018_848am_5b6076cd2e28b.pdf" target="_blank">"EL ASESINATO DEL PROFESOR DE MATEMÁTICAS"</a></span></span>Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-89507281223137159162023-10-04T17:18:00.004-07:002023-10-04T17:24:16.917-07:00Preguntas del libro "EL TÍO PETROS Y LA CONJETURA DE GOLBACH" <p><b> <span style="color: red;">Estudiantes de los cursos 803 y 804 del Colegio Nueva Colombia, responder las siguientes 20 preguntas del Capítulo 3: "De Vuelta a Estados Unidos", desde la página 92 hasta la página 123, del libro: " EL TÍO PETROS Y LA CONJETURA DE GOLDBACH" y presentarlo completo y ordenado en hojas blancas el día Octubre 17 de 2023.</span></b></p><p><span style="color: red;"><b><a href="http://www.librosmaravillosos.com/conjeturagoldbach/index.html">Ir al libro "EL TIO PETROS Y LA CONJETURA DE GOLBACH"</a><br /></b></span></p><p><span style="color: #274e13;"><b>CUALQUIER COPIA O PLAGIO ENTRE COMPAÑEROS (AS) SERÁ ANULADO EL TRABAJO PARA LAS Y LOS ESTUDIANTES INVOLUCRADOS.</b></span></p><p></p><p align="center" class="MsoNormal" style="text-align: center;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi6QMfuv1qIhntY4_lmNTfEPQqJBVfxXt3HNdlr5jW_3zDFuXQJMAgB6oBCTTpiBkXoe_CGyC9i4fv_CYyiJUHoQWXdawdNiGm6gzRtbB_i0i-UITAsj3l1-01BnmzIODtIQf3kQcVUl0yYQAbtAfAt5ZWBB9dMDQLquAo0SyAdsQPM4GaQRgKqJE8TTqg/s320/joven-estudiando.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="320" data-original-width="319" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi6QMfuv1qIhntY4_lmNTfEPQqJBVfxXt3HNdlr5jW_3zDFuXQJMAgB6oBCTTpiBkXoe_CGyC9i4fv_CYyiJUHoQWXdawdNiGm6gzRtbB_i0i-UITAsj3l1-01BnmzIODtIQf3kQcVUl0yYQAbtAfAt5ZWBB9dMDQLquAo0SyAdsQPM4GaQRgKqJE8TTqg/s1600/joven-estudiando.jpg" width="319" /></a></div><br /><span style="color: #800180;"><br /></span><p></p><p align="center" class="MsoNormal" style="text-align: center;"><span style="color: #800180;">PREGUNTAS DEL LIBRO
EL TIO PETROS Y LA CONJETURA DE GOLBACH P3<o:p></o:p></span></p>
<p align="center" class="MsoNormal" style="text-align: center;"><span style="color: #800180;">DE VUELTA A ESTADOS
UNIDOS</span><o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoListParagraphCxSpFirst" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">1.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]--><span style="mso-spacerun: yes;"> </span>Después que
regresó Alekos, el sobrino del tío Petros a Estados Unidos se reencontró con
Sammy, de que hablaron? <o:p></o:p></p>
<p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">2.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]-->Al otro día sobre las materias que haría en el
curso el sobrino de Petros, cuáles enumeró? Y porque teoría de números no la
toma?<o:p></o:p></p>
<p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">3.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]-->Al entrar al edificio Instituto de Estudios Avanzados,
como lo describe Alekos?<o:p></o:p></p>
<p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">4.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]-->A quienes le mostró Sammy dentro del edificio y
que títulos tenían?<o:p></o:p></p>
<p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">5.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]-->Cuál es la teoría que le expuso Sammy de regreso
a la Universidad?<o:p></o:p></p>
<p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">6.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]-->Alekos el sobrino de Petros, cómo resume la
historia de él?<o:p></o:p></p>
<p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">7.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]-->Al regresar a la Universidad, cuáles fueron las
seis biografías que leyó y porque le pareció que no fueron felices estos
matemáticos?<o:p></o:p></p>
<p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">8.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]-->Además de los seis anteriores, que pasó con
Pascal y Newton y como murió Evariste Galois y Georg Cantor y los matemáticos Ramanujan,
Hardy, Turing y Gödel, cómo terminaron sus vidas?<o:p></o:p></p>
<p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">9.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]-->Porqué dice que las Matemáticas tienen Verdad y
Belleza?<o:p></o:p></p>
<p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">10.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]-->Porqué abandonó la carrera de Matemáticas, para
pasarse a Económicas?<o:p></o:p></p>
<p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">11.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]-->Porqué se puso alegre el padre de Alekos?<o:p></o:p></p>
<p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">12.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]-->Ahora en que se puso a trabajar y que pensaba
del tío Petros?<o:p></o:p></p>
<p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">13.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]-->Cómo era el juego de Ajedrez con el Tío Petros?
Y como lo analizaba el sobrino?<o:p></o:p></p>
<p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">14.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]-->Que premio recibió el tío Petros de la
Universidad de Atenas y porque motivo?<o:p></o:p></p>
<p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">15.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]-->Sobre qué temas el tío Petros le dio las diez
lecciones a su sobrino?<o:p></o:p></p>
<p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">16.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]-->Porque el Tío Petros dice que la multiplicación
es una operación antinatural?<o:p></o:p></p>
<p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">17.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]-->Qué le enfureció al Tío Petros, cuando el sobrino
hablaba de otros matemáticos?<o:p></o:p></p>
<p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">18.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]-->Cuales son los tres problemas matemáticos, no
resueltos aún?<o:p></o:p></p>
<p class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">19.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]-->Porqué no lo dejo entrar el tío Petros al
sobrino, cuando fue a visitarlo?<o:p></o:p></p>
<p class="MsoListParagraphCxSpLast" style="mso-list: l0 level1 lfo1; text-indent: -18pt;"><!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">20.<span style="font-family: "Times New Roman"; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-variation-settings: normal; line-height: normal;">
</span></span></span><!--[endif]-->Cómo murió el Tío Petros y cuál fue el epitafio
en su tumba?<o:p></o:p></p><br /><p></p>Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-37280452841578217112023-10-04T16:52:00.000-07:002023-10-04T16:52:07.862-07:00PREGUNTAS DEL LIBRO "EL HOMBRE QUE CALCULABA" CAP 25 - 35<div align="center" class="MsoNormal" style="margin-bottom: 0cm; margin-left: -1.0cm; margin-right: 0cm; margin-top: 0cm; margin: 0cm 0cm 0cm -1cm; text-align: center;">
<a href="http://www.librosmaravillosos.com/hombrecalculaba/">Ir al Libro "EL HOMBRE QUE CALCULABA"</a></div>
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<b><span style="color: #c00000; font-size: 12pt; line-height: 115%;">PREGUNTAS SOBRE EL LIBRO “EL HOMBRE QUE CALCULABA” <o:p></o:p></span></b></div>
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<b><span style="color: #c00000; font-size: 12pt; line-height: 115%;">CAPÍTULOS 25- 35<o:p></o:p></span></b></div>
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<b><span style="color: #c00000; font-size: 12pt; line-height: 115%;"><a href="https://sites.google.com/site/hrmatematicas/home?pli=1">Ir a la Página Web "HRMATEMATICAS"</a></span></b><br />
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<b><span style="font-size: 12pt; line-height: 115%;"> ESTUDIANTES
DE GRADO DÉCIMO 1001, 1002 y 1003 DEL COLEGIO NUEVA COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS DEL 25 AL 35 DE LA OBRA “EL HOMBRE QUE CALCULABA” RESPONDER ESTAS 23 PREGUNTAS Y PRESENTARLAS EN HOJAS DEBIDAMENTE
MARCADAS CON PORTADA (que tenga nombre y curso)… GRACIAS…EL PLAZO MÁXIMO
ES DÍA OCTUBRE 17 DE 2023, LUEGO SE RETOMARÁN ALGUNAS DE ESTAS
PREGUNTAS EN DIFERENTES EVALUACIONES. Cualquier duda déjela como comentario. El
trabajo es individual, si se nota copia o plagio de trabajos de otros
compañeros no se tendrán en cuenta.<o:p></o:p></span></b><br />
<b><span style="font-size: 12pt; line-height: 115%;"><br /></span></b>
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<b><span style="color: red;"> </span><span style="color: red;">Capítulo 25: EL PROBLEMA DE DIOFANTO.</span></b><br />
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<br />
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<!--[if !supportLists]--><b><span style="font-size: 9pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-font-size: 11.0pt; mso-bidi-theme-font: minor-latin;">1.<span style="font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;">
</span></span><!--[endif]-->Plantee y solucione la ecuación propuesta por
Diofanto al morir, y halle los datos sobre los episodios de su vida.</b></div>
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<!--[if !supportLists]--><b><span style="font-size: 9pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-font-size: 11.0pt; mso-bidi-theme-font: minor-latin;">2.<span style="font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;">
</span></span><!--[endif]-->Porqué 17,18 y 26 se comportan con idénticas
propiedades a los cubos perfectos 1, 8, y 27?. Cómo murió Arquímedes?</b></div>
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<b><span style="color: purple;">Capítulo 26: RELACIONES NUMÉRICAS DEL CORÁN.</span><o:p></o:p></b></div>
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<!--[if !supportLists]--><b><span style="font-size: 9pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-bidi-theme-font: minor-latin;">3.<span style="font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12pt;">Que decía el
mensaje que le escribió Telassim al calculista, y que encontró junto con el
anillo que le entrego el Sheik Iezid?<o:p></o:p></span></b></div>
<div class="MsoListParagraphCxSpLast" style="margin-bottom: 0.0001pt; text-indent: -18pt;">
<!--[if !supportLists]--><b><span style="font-size: 9pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-bidi-theme-font: minor-latin;">4.<span style="font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12pt; line-height: 115%;">Cuántas
veces se nombra a Jesús en el Corán?<o:p></o:p></span></b></div>
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<span style="font-size: 12pt; line-height: 115%;"><b><br /></b></span></div>
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<b><span style="color: #274e13;">Capítulo 27: EL GEÓMETRA QUE NO PODÍA MIRAR AL CIELO.</span><o:p></o:p></b></div>
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<!--[if !supportLists]--><b><span style="font-size: 9pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-bidi-theme-font: minor-latin;">5.<span style="font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12pt;">Quién fue
Eratóstenes? En qué consiste la “Criba de Eratóstenes”?<o:p></o:p></span></b></div>
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</span></span><!--[endif]--><span style="font-size: 12pt;">Cómo fue su
suicidio? Qué lo llevó a tomar tal determinación?<o:p></o:p></span></b></div>
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<span style="font-size: 12pt;"><b><span style="color: orange;"><br /></span></b></span></div>
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<b><span style="color: orange;">Capítulo 28: LA FALSA INDUCCIÓN.</span><o:p></o:p></b></div>
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<!--[if !supportLists]--><b><span style="font-size: 9pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-bidi-theme-font: minor-latin;">7.<span style="font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12pt;">Qué
característica tienen los números cuadrados:2025, 3025 y 9801?<o:p></o:p></span></b></div>
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</span></span><!--[endif]--><span style="font-size: 12pt;">En qué consiste
la “inducción matemática”?<o:p></o:p></span></b></div>
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<span style="font-size: 12pt;"><b><span style="color: blue;"><br /></span></b></span></div>
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<b><span style="color: blue;">Capitulo 29: LA MULTIPLICACIÓN MILAGROSA.</span><o:p></o:p></b></div>
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<!--[if !supportLists]--><b><span style="font-size: 9pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-bidi-theme-font: minor-latin;">9.<span style="font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12pt;">Cómo combinó cada
uno de los tres sabios citados por el rey Astor, la parte material y espiritual
de la vida?<o:p></o:p></span></b></div>
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<!--[if !supportLists]--><b><span style="font-size: 9pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-bidi-theme-font: minor-latin;">10.<span style="font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12pt;">Cuál es la famosa
multiplicación que tiene un solo factor?<o:p></o:p></span></b></div>
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<b><span style="color: purple;">Capítulo 30: LA DIVISIÓN DE TRES POR DOS.</span><o:p></o:p></b></div>
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<!--[if !supportLists]--><b><span style="font-size: 9pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-bidi-theme-font: minor-latin;">11.<span style="font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12pt;">Porqué al león no
le gustó la división de tres por tres que hizo el tigre?<o:p></o:p></span></b></div>
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<!--[if !supportLists]--><b><span style="font-size: 9pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-bidi-theme-font: minor-latin;">12.<span style="font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12pt;">Porque la
división que hizo el chacal de tres por dos, que hizo el chacal, si le pareció
justa y equitativa?<o:p></o:p></span></b></div>
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<span style="font-size: 12pt;"><b><br /></b></span></div>
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<b><span style="color: #990000;">Capitulo 31: EL PROBLEMA DE LOS CINCO DISCOS.</span><o:p></o:p></b></div>
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<!--[if !supportLists]--><b><span style="font-size: 9pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-bidi-theme-font: minor-latin;">13.<span style="font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12pt;">De qué color
tenía el príncipe Aradin el disco en la espalda?<o:p></o:p></span></b></div>
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<!--[if !supportLists]--><b><span style="font-size: 9pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-font-size: 11.0pt; mso-bidi-theme-font: minor-latin;">14.<span style="font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;"> </span></span><!--[endif]--><span style="font-size: 12pt; line-height: 115%;">Cuál fue el razonamiento lógico que
hizo para concluir que era de ese color?</span></b></div>
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<span style="font-size: 12pt; line-height: 115%;"><b><br /></b></span></div>
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<b><span style="color: #674ea7;">Capítulo 32: ALÍ BABÁ Y LOS CUARENTA LADRONES.<o:p></o:p></span></b></div>
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</span></span><!--[endif]--><span style="font-size: 12pt;">Qué propiedades
tiene el número 40 que lo hace diferente a los demás?<o:p></o:p></span></b></div>
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<!--[if !supportLists]--><b><span style="font-size: 9pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-bidi-theme-font: minor-latin;">16.<span style="font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12pt;">De acuerdo al
problema del historiador Josefo, en qué lugar debe estar para salvarse de la
matanza?<o:p></o:p></span></b></div>
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<span style="font-size: 12pt;"><b><br /></b></span></div>
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<b><span style="color: #cc0000;">Capítulo
33: PROBLEMAS IMPOSIBLES.</span><o:p></o:p></b></div>
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</span></span><!--[endif]--><span style="font-size: 12pt;">Cuáles son los
tres problemas que hasta el momento se cree son imposible de solucionar?<o:p></o:p></span></b></div>
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<!--[if !supportLists]--><b><span style="font-size: 9pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-bidi-theme-font: minor-latin;">18.<span style="font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12pt;">Como se ha
trabajado en cada uno con el fin de solucionarlos?<o:p></o:p></span></b></div>
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<span style="font-size: 12pt;"><b><span style="color: #38761d;"><br /></span></b></span></div>
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<b><span style="color: #38761d;">Capítulo 34: LOS OJOS NEGRO Y AZULES.</span><o:p></o:p></b></div>
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</span></span><!--[endif]--><span style="font-size: 12pt;">Qué problema
tenía que solucionar el calculista para poder casarse don Telassim?<o:p></o:p></span></b></div>
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<!--[if !supportLists]--><b><span style="font-size: 9pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-bidi-theme-font: minor-latin;">20.<span style="font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12pt;">Porque no aceptó
todas las riquezas, palacios y títulos que le ofreció el califa Al-Motacen?<o:p></o:p></span></b></div>
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<span style="font-size: 12pt;"><b><span style="color: orange;"><br /></span></b></span></div>
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<b><span style="color: orange;">Capítulo 35: ÚLTIMO CAPÍTULO.</span><o:p></o:p></b></div>
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<!--[if !supportLists]--><b><span style="font-size: 9pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-bidi-theme-font: minor-latin;">21.<span style="font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12pt;">Cuál fue el final
del sheik Iezid y el califa Al-Motacen?<o:p></o:p></span></b></div>
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<!--[if !supportLists]--><b><span style="font-size: 9pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-bidi-theme-font: minor-latin;">22.<span style="font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;">
</span></span><!--[endif]--><span style="font-size: 12pt;">Qué pasó
finalmente con el hombre que calculaba Beremís y el acompañante y narrador de
la historia?<o:p></o:p></span></b><br />
<b><span style="font-size: 12pt;">23. Escriba un comentario final, le gusto la historia? si? no? porque?</span></b></div>
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<b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwdcCoLtq_6BF0obIcpPFv0vhPys0G1dZl5ixWISSo4sF7N7F4qnrFQLB0VeOOXOcrbuu-UojTJgcsdsCp4ikXgIl7UImRdvWIzm9eUXjI8TL_JmiQW6j87KRb8vAay8GqsDta8ZqThKg/s1600/13626372_1073668486054606_3284199149349827286_n.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="316" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwdcCoLtq_6BF0obIcpPFv0vhPys0G1dZl5ixWISSo4sF7N7F4qnrFQLB0VeOOXOcrbuu-UojTJgcsdsCp4ikXgIl7UImRdvWIzm9eUXjI8TL_JmiQW6j87KRb8vAay8GqsDta8ZqThKg/s320/13626372_1073668486054606_3284199149349827286_n.jpg" width="320" /></a></b></div>
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Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-45775617321260863952023-06-12T15:33:00.000-07:002023-06-12T15:33:17.746-07:00Preguntas del libro "EL TIO PETROS Y LA CONJETURA DE GOLDBACH"<p><span style="color: red;">Estudiantes de los cursos 803 y 804 del Colegio Nueva Colombia, responder las siguientes 47 preguntas del Capítulo 2: La Historia de Petros Papachristos, desde la página 38 hasta la página 91, del libro: " EL TÍO PETROS Y LA CONJETURA DE GOLDBACH" y presentarlo completo y ordenado en hojas blancas el día Julio 10 de 2023.</span></p><div class="post-header" style="background-color: #cfe2f3; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 15.84px; line-height: 1.6; margin: 0px 0px 1.5em;"><div class="post-header-line-1"></div></div><div class="post-body entry-content" id="post-body-1689512343948619154" itemprop="articleBody" style="background-color: #cfe2f3; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 15.84px; line-height: 1.3; position: relative; width: 255.35px;"><p> <a href="http://www.librosmaravillosos.com/conjeturagoldbach/index.html" style="color: #2288bb; text-decoration-line: none;">Ir al libro "EL TÍO PETROS Y LA</a><a href="http://www.librosmaravillosos.com/conjeturagoldbach/index.html" style="color: #2288bb; text-decoration-line: none;"> CONJETURA DE GOLDBACH"</a></p><p><span style="color: #38761d;"><b>Cualquier copia o plagio entre compañeros (as) será anulado el trabajo para las y los estudiantes involucrados.</b></span></p><p><b><span style="color: #800180;">PREGUNTAS</span></b>.</p></div><ol start="1" style="margin-top: 0cm;" type="1"><li class="MsoNormal" style="border: none; margin-bottom: 0cm; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;"><span style="color: black;">En donde y en qué fecha nació el tío
Petros?</span><o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">A que se dedicaba en la
soledad de su hogar antes que nacieron sus hermanos?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Que fue a pedirle al
padre de Petros, el director de la escuela Jesuita?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">A donde fueron a pedir
consejo el padre de Petros y su hijo?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">A donde fue enviado
Petros para avanzar en su conocimiento matemático?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Que hacía Isolda para
convertirse en el amor de Petros?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Según Caratheódory
cuales son los tres problemas irresueltos de la teoría de números?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Una vez Petros recibió
su título de maestría, que trabajo le encomendó Caratheódory, para su
tesis doctoral?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">A que se dedicó en
Suiza y cuáles eran los tres matemáticos conocidos internacionalmente?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">En Inglaterra a que se
dedicó y de quién se hizo amigo?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Quién fue la fuente de
inspiración de Petros y a que se dedicaba?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Que le comentó Petros
sobre Ramanujan a Hardy, y este que le contestó?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Quién fue a visitarlo
en el Hostal Bishop, y que le propuso?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Con quienes se reunía
constantemente para tratar que asuntos?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Los tres matemáticos
que trabajos publicaron? Y en qué años?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Qué propuesta le hizo
Hardy para continuar con sus investigaciones matemáticas?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Porqué a Petros no le
convencía trabajar con los otros dos amigos matemáticos?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Porqué consideraba que
las investigaciones y descubrimientos matemáticos eran de los jóvenes?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Después de verificar y
analizar los teoremas sin demostrar por cual se inclinó para su
investigación y demostración?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">En que universidad se
fue a trabajar tras dejar a sus amigos en Cambridge?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">En 1919, a donde se fue
a vivir y que le ordenó a su ama de llaves al entrar a su estudio?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Cuáles matemáticos de
la Ilustración, habían descubierto interesantes teoremas relacionados con
los números primos?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Cuáles son algunas
leyes que rigen los números primos?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;"><span style="mso-spacerun: yes;"> </span>A quien le escribió Petros para preguntar
si habían más avances al respecto?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">En la primavera de ese
año, Hardy le envió una importante nota, que decía?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">A quienes consideraba
Petros como vejestorios para las matemáticas creativas y que edad tenían?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Que descubrimiento no
publicó por temor a que otros teóricos de números demostrarán la conjetura
se Goldbach?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Porque no podía
comportarse con normalidad en una reunión?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Porqué no se casó el
tío Petros?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Porqué cree que al
cumplir los treinta años comienza el declive de su capacidad
investigativa?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Porque le parecía que
perdía el tiempo el estar con su familia?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Describa como eran los
sueños de Petros con los números.<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Como fue el sueño donde
aparecían Euler y Goldbach?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">De que enfermedad
sufría Petros para pedir dos años de excedencia en la Universidad donde
trabajaba?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">A donde se trasladó y a
que juego se empezó a dedicar y que jugadas de apertura practicaba?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Indique a qué se
dedicaban para relajarse los amigos matemáticos de Petros.<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Como hacía para reducir
sus dosis de somníferos?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Que decisión tomó antes
de terminar sus dos años de excedencia y porque lo hizo?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Al regresar a Múnich,
como lo recibió su ama de llaves y porque sentía satisfacción?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Al regresar a las
clases de la Universidad como se sintió y cambio su manera de enseñar?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">A quienes envió copia
de su monografía, para algunas observaciones?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Que le respondieron sus
amigos matemáticos?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Describa según Petros,
cual era el sueño de Euclides respecto a las matemáticas.<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Qué le recomendó
Littlewod sobre su trabajo en la demostración de la conjetura de Goldbach?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Indique de qué números
Petros hablaba como amigos animados.<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Sobre qué temas le
estaba pidiendo Turing a Petros que le tradujera de la revista?<o:p></o:p></li>
<li class="MsoNormal" style="border: none; mso-border-shadow: yes; mso-list: l0 level1 lfo1; mso-padding-alt: 31.0pt 31.0pt 31.0pt 31.0pt;">Porque Gödel le dijo que
la conjetura de Goldbach podía ser indemostrable?<o:p></o:p></li>
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<!--EndFragment-->Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-5472198456076420922023-06-12T14:38:00.000-07:002023-06-12T14:38:57.872-07:00PREGUNTAS SOBRE EL LIBRO "EL HOMBRE QUE CALCULABA" CAP 13-24<div class="MsoNormal" style="text-align: center;">
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<span face=""arial" , "helvetica" , sans-serif" style="font-size: large; line-height: 115%;"><b><span style="color: #6aa84f;">CAPÍTULOS 13-24</span><span style="color: red;"><o:p></o:p></span></b></span></div>
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<span face=""arial" , "helvetica" , sans-serif" style="font-size: large;"><b>ESTUDIANTES
DE GRADO DÉCIMO CURSOS 1001, 1002 Y 1003 DEL COLEGIO NUEVA COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS DEL 13 AL 24 DE LA OBRA “EL HOMBRE QUE CALCULABA” RESPONDER ESTAS 24 PREGUNTAS Y ENTREGARLAS DEBIDAMENTE
MARCADAS CON PORTADA (que tenga nombre y curso)… GRACIAS…EL PLAZO MÁXIMO
ES DÍA JULIO 10 DE 2023, DE 6:00 A 6:15 AM, DESPUÉS DE ESTA HORA
Y FECHA NO SE TENDRÁN EN CUENTA ‼‼‼ LUEGO SE RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN
DIFERENTES EVALUACIONES. Cualquier duda déjela como comentario. El trabajo es
individual, si se nota copia o plagio de trabajos de otros compañeros no se
tendrán en cuenta.</b></span></div>
<div style="text-align: left;">
<span face=""arial" , "helvetica" , sans-serif" style="font-size: large;"><b><br /></b></span></div>
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<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span style="color: red;">CAPÍTULO
13 – EL PALACIO DEL CALIFA</span></b></div>
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<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">1. Explique que son “números amigos”. De tres ejemplos de
estos números.</b></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">2. Explique que es un “número perfecto” y un “número feliz”. De tres ejemplos de cada
uno.</b></div>
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<span face=""arial" , "helvetica" , sans-serif" style="font-size: large;"><b><br /></b></span></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<o:p><span face=""arial" , "helvetica" , sans-serif" style="font-size: large;"><b> </b></span></o:p><b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span style="color: #6aa84f;">CAPITULO
14 – LAS BAILARINAS GEMELAS</span></b></div>
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<br /></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">3. Como concluyó Beremís que se podían
diferenciar las dos bailarinas gemelas.</b></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">4. Haga un pequeño resumen del elogio
que hace el calculista de los hombres de ciencia, que cultivan las Matemáticas,
y que son soñadores del futuro.</b></div>
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<span face=""arial" , "helvetica" , sans-serif" style="font-size: large;"><b><br /></b></span></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<span style="color: purple;"><o:p><span face=""arial" , "helvetica" , sans-serif" style="font-size: large;"><b> </b></span></o:p><b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">CAPÍTULO
15 – CUADRADOS MÁGICOS</b></span></div>
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<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><br /></b></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">5. Haga tres cuadrados mágicos con los
siguientes grupos de números:</b></div>
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<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">2,4,6,8,10,12,14,16,18 la suma de 30;</b></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">1,3,5,7,9,11,13,15,17 la suma de 27;</b></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">5,10,15,20,25,30,35,40,45 la suma de 75.</b></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">6. Porqué algunos cuadrados mágicos de
4x4 se llaman cuadrados “hipermágicos o diabólicos”?</b></div>
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<span face=""arial" , "helvetica" , sans-serif" style="font-size: large;"><b><br /></b></span></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<o:p><span face=""arial" , "helvetica" , sans-serif" style="font-size: large;"><b> </b></span></o:p><b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span style="color: orange;">CAPITULO
16 – LEYENDA DEL AJEDREZ</span></b></div>
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<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><br /></b></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">7. Cuál es la leyenda de juego de
“Ajedrez”?. Porque el rey no pudo cumplirle al creador del juego.</b></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">8. Para compensarlo en qué cargo lo
nombró?</b></div>
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<span face=""arial" , "helvetica" , sans-serif" style="font-size: large;"><b><br /></b></span></div>
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<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span style="color: #a64d79;">CAPÍTULO
17 – CREENCIAS Y SUPERSTICIONES</span></b></div>
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<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><br /></b></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">9. Quienes consultaban al “Hombre que
Calculaba”?.</b></div>
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<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">10. Cómo solucionó el enigma de las 90
manzanas?</b></div>
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<span face=""arial" , "helvetica" , sans-serif" style="font-size: large;"><b><br /></b></span></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span style="color: magenta;">CAPÍTULO 18 – LA MATEMÁTICA DE LOS HINDÚES</span></b></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><br /></b></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">11. Que dice el teorema de Pitágoras?</b></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">12. Escriba 5 ternas de números que
cumplan: a<sup>2</sup>+b<sup>2</sup>=c<sup>2</sup></b></div>
<div class="MsoNormal" style="margin: 0cm 0cm 0.0001pt 18pt; text-align: left;">
<span face=""arial" , "helvetica" , sans-serif" style="font-size: large;"><b><sup><br /></sup></b></span></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span style="color: #e69138;">CAPÍTULO
19 – EL PROBLEMA DE LOS TRES MARINEROS</span></b></div>
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<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><br /></b></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">13. Busque un número menor que 100, que
cumpla con las mismas condiciones del problema de los 3 marineros.</b></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">14. Halle un número entre 100 y 200, el
cual se pueda repartir, como el problema de los 3 marineros.</b></div>
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<span face=""arial" , "helvetica" , sans-serif" style="font-size: large;"><b><br /></b></span></div>
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<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span style="color: #6aa84f;">CAPÍTULO
20 – SEGUNDA CLASE DE MATEMATICA</span></b></div>
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<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><br /></b></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">15. De que se trató la segunda clase de
Matemáticas?.</b></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">16. Defina “guarismo”. Porque se dice que
el sistema con base 12 tendría una gran ventaja sobre nuestro sistema en base
10 o decimal</b></div>
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<span face=""arial" , "helvetica" , sans-serif" style="font-size: large;"><b><br /></b></span></div>
<div class="MsoListParagraph" style="line-height: normal; margin-bottom: 0.0001pt; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span style="color: #e06666;">CAPÍTULO 21 – UNIVERSO, UN PROBLEMA Y UNA LEYENDA</span></b></div>
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<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><br /></b></div>
<div class="MsoListParagraph" style="line-height: normal; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">17. Cuántos triángulos se pueden
identificar en una estrella de 5 puntas como la que se muestra en este
capítulo?</b></div>
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<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">18. Con los siguientes grupos de
números forme estrellas mágicas de 5 puntas colocando un número diferente en
cada vértice y de tal forma que cada línea de cuatro números sume igual:</b></div>
<div class="MsoNormal" style="margin-left: 54pt; text-align: left;">
<span face=""arial" , "helvetica" , sans-serif" style="font-size: large;"><b>a. 1, 2, 3, 4, 5, 6, 8, 9, 10, 12 las líneas deben sumar 24 cada una<o:p></o:p></b></span></div>
<div class="MsoNormal" style="margin-left: 54pt; text-align: left;">
<span face=""arial" , "helvetica" , sans-serif" style="font-size: small;"><b><span face=""arial" , "helvetica" , sans-serif" style="font-size: large;">b. 1, 3, 4, 5, 7, 8, 9, 10, 11, 12 las líneas deben sumar 28 cada una.</span><span face=""arial" , "helvetica" , sans-serif" style="font-size: large;"><o:p></o:p></span></b></span></div>
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<span face=""arial" , "helvetica" , sans-serif" style="font-size: large;"><b><br /></b></span></div>
<div class="MsoListParagraph" style="line-height: normal; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span style="color: #bf9000;">CAPITULO 22 – LA MITAD DE LA “X” DE LA VIDA</span></b></div>
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<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><br /></b></div>
<div class="MsoListParagraph" style="line-height: normal; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">19. Cómo era la prisión donde estaban
Sanadique y los demás condenados?</b></div>
<div class="MsoListParagraph" style="line-height: normal; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">20. Cuál fue la forma de
resolver el problema de la cadena
perpetua de Sanadique, que plantea el calculista Beremís?</b></div>
<div class="MsoNormal" style="margin-left: 18pt; text-align: left;">
<span face=""arial" , "helvetica" , sans-serif" style="font-size: large;"><b><br /></b></span></div>
<div class="MsoListParagraph" style="line-height: normal; text-align: left;">
<span style="color: #6aa84f;"><o:p><span face=""arial" , "helvetica" , sans-serif" style="font-size: large;"><b> </b></span></o:p><b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">CAPÍTULO 23 – LAS PERLAS DEL RAJÁ</b></span></div>
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<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><br /></b></div>
<div class="MsoListParagraph" style="line-height: normal; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">21. Así como hizo Beremís la repartición
de las perlas solucionar el siguiente problema: cierto número de perlas debe
ser repartido entre cierto número de personas de la siguiente forma: a la
primera persona le corresponde una perla
más la novena parte de las perlas restantes; la segunda persona recibiría dos
perlas más una novena parte de las restantes; la tercera tomaría tres perlas
más una novena parte de las perlas restantes, y así sucesivamente, cuántas
personas son y cuántas perlas le corresponde a cada una si en total son 64.</b></div>
<div class="MsoListParagraph" style="line-height: normal; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">22. Qué es un número cabalístico? Dé
algunos ejemplos.</b></div>
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<br /></div>
<div class="MsoListParagraph" style="line-height: normal; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span style="color: red;">CAPÍTULO 24 – LA MATEMÁTICA Y LA BELLEZA</span></b></div>
<div class="MsoListParagraph" style="line-height: normal; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><br /></b></div>
<div class="MsoListParagraph" style="line-height: normal; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">23. La llamada serie de Fibonacci: 1,
1, 2, 3, 5, 8, 13, 21, 34,… cada número resulta de sumar los dos anteriores,
complétela hasta el término 20. Entre más grandes sean los números de
Fibonacci, al dividir un número entre el anterior nos da siempre el mismo valor,
llamado número áureo o número de oro, base de la belleza en Matemáticas. Cuál
es ese número?</b></div>
<div class="MsoListParagraph" style="line-height: normal; text-align: left;">
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;">24. Qué condiciones hacen que
Florence Colgate sea considerada la mujer más bella del mundo según la ciencia
de las Matemáticas?</b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><br /></b></div>
</div>
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<b style="font-family: arial, helvetica, sans-serif; font-size: x-large;">ESTUDIANTES DE GRADO DÉCIMO, CURSOS 1001,1002 Y 1003 DEL COLEGIO NUEVA COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS DEL 13 AL 24 DE LA OBRA “EL HOMBRE QUE CALCULABA” RESPONDER ESTAS 24 PREGUNTAS Y ENTREGARLAS DEBIDAMENTE MARCADAS CON PORTADA (que tenga nombre y curso)… GRACIAS…EL PLAZO MÁXIMO ES DÍA JULIO 10 DE 2023, DE 6:00 A 6:15 AM, DESPUÉS DE ESTA HORA Y FECHA NO SE TENDRÁN EN CUENTA ‼‼‼ LUEGO SE RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES EVALUACIONES. Cualquier duda déjela como comentario. El trabajo es individual, si se nota copia o plagio de trabajos de otros compañeros no se tendrán en cuenta.</b></div>
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<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><a href="http://www.librosmaravillosos.com/hombrecalculaba/pdf/El%20Hombre%20que%20Calculaba%20-%20Malba%20Tahan.pdf">Ir al libro "EL HOMBRE QUE CALCULABA"</a></b></div>
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Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-83752239353873561332023-05-18T19:44:00.001-07:002023-05-18T19:44:15.506-07:00PLAN DE MEJORAMIENTO ALGEBRA OCTAVO<p style="text-align: center;"> COLEGIO NUEVA COLOMBIA IED
</p><p style="text-align: center;">PLAN DE MEJORAMIENTO
</p><p style="text-align: center;">CURSO 803 y 804 – 1P- HECTOR RODRIGUEZ
</p><p style="text-align: left;">Resuelva todos los siguientes ejercicios y presentarse para una evaluación de sustentación en los plazos dados por el colegio para esta actividad
</p><p style="text-align: left;">A. Resolver
</p><p style="text-align: left;">1. –5+3+6–9+1–7+10
</p><p style="text-align: left;">2. 25–30+6+4–19+8
</p><p style="text-align: left;">3. 16–{6+5+[–3+6–10]+5}
</p><p style="text-align: left;">4. –4+{–3+4–5+6–[–2+5]}
</p><p style="text-align: left;">5. –2–{+3–5+8–(7–4+3) –6}
</p><p style="text-align: left;">6. 21+{–3+6–2–(–4–3)+9}
</p><p style="text-align: left;">7. –[6+3–2+(–5+7) –8]
</p><p style="text-align: left;">8. 9–{–4+[–4– (7–2)] –5}
</p><p style="text-align: left;">9. (4)( –3)(5)( –8)( –1)( –5)
</p><p style="text-align: left;">10. (–4)( –2)( –7)( –6)( –5)
</p><p style="text-align: left;">11. (3–9)( –3–2)( –1+7)( –3–3)
</p><p style="text-align: left;">12. (–2–3+4)( –2–1–3)(6–3+7)
</p><p style="text-align: left;">13. (–3–4+10)( –5–6–1)(9+2–8)
</p><p style="text-align: left;">14. (–2–1+7)( –4–5–2)( –1–2–3)
</p><p style="text-align: left;">15. –1331÷(–11)
</p><p style="text-align: left;">16. 2804÷(–4)
</p><p style="text-align: left;">17. 3325÷(–25)
</p><p style="text-align: left;">18. (3+12+15–10)÷(9+6–5)
</p><p style="text-align: left;">19. (24+12–6)÷( –8+10+4)
</p><p style="text-align: left;">20. (–6–4+12+10)÷( –9+3+2)
</p><p style="text-align: left;">21. (–21+45–60)/( –4–5) 2ab
</p><p style="text-align: left;">22. 35–52+43
</p><p style="text-align: left;">23. (–2)4–(–3)3
</p><p style="text-align: left;">24. (–6)2–72
</p><p style="text-align: left;">25. 23–32+42–52
</p><p style="text-align: left;">26. √100+√49–√36
</p><p style="text-align: left;">27. √81+√121–√169
</p><p style="text-align: left;">28. √196–√144–√9
</p><p style="text-align: left;">29. √400–√361+√4
</p><p style="text-align: left;">30. Log327
</p><p style="text-align: left;">31. Log¬216
</p><p style="text-align: left;">32. Log¬2128
</p><p style="text-align: left;">33. Log¬464
</p><p style="text-align: left;">34. Log¬264+ Log¬24
</p><p style="text-align: left;">35. Log5125 –log636
</p><p style="text-align: left;">36. ½ +2/3 –1/4
</p><p style="text-align: left;">37. 3/5+4/3 –2/3
</p><p style="text-align: left;">38. 5½+2¾ – 4
</p><p style="text-align: left;">39. 6¼+5 – 8½
</p><p style="text-align: left;">40. 1/3+5/9 –7/18
</p><p style="text-align: left;">41. 7/4+1/9 –2/3
</p><p style="text-align: left;">42. –2/5 –1/8 –3/9
</p><p style="text-align: left;">43. –4½+5/3 – 9¾
</p><p style="text-align: left;">44. 6/5 – 7/3+1/8
</p><p style="text-align: left;">B. Escriba los elementos de los siguientes términos:
</p><p style="text-align: left;"> 1. –4x2y 2. 16m2xy4 3. –3x5yz
</p><p style="text-align: left;"> 4. – ½x2y4z 5 – (5x3y7)/7 6. – 9mx2yz7 7. x2y5z 8. 4axy2/3 9. 2yz3/5
</p><p style="text-align: left;"> C. Dadas las expresiones algebraicas.
</p><p style="text-align: left;"> M=3x⁴-5x³+7x²-6x+8. N=-4x²+6x⁴+5x-8x³-8
</p><p style="text-align: left;"> P=-2x+7x⁴-3x²-9x³-7; hallar
</p><p style="text-align: left;">1. M+N. 2. M-N. 3. N-P. 4. M+P. 5. P-M
</p><p style="text-align: left;">D. Si a=2, b=-1, c= 3, d=0, m=-2, x=4, y=-3
</p><p style="text-align: left;"> Hallar el valor de:
</p><p style="text-align: left;">1 -3mx +4cdmx. 2. 5ay-a³b+m²c²
</p><p style="text-align: left;">3. -6cdy+c²y³-2am 4. -7abc-2dmx-m²y
</p><p style="text-align: left;">5. --5acm²-3mxy+3bm. 6. -aby+m²x³yb-5
</p><p style="text-align: left;">E. Multiplicar:
</p><p style="text-align: left;">1. (3x+4y)(-6ª-8b). . 2. (5x²+4y)(-2x²-7y)
</p><p style="text-align: left;">3. (-5x³-6x²)( 9x³+5x²). . 4. (3ab+5mn)(2ab -mn)
</p><p style="text-align: left;">5. -4(x²+y) +7(3x+6y)+6(-3x²+x-y)
</p><p style="text-align: left;">6. -2(4x+5y) -4(-3x+5y) +4(5x-8y)
</p><p style="text-align: left;"> F. Defina: Triángulo, círculo, circunferencia, esfera, cuadrilátero, trapecio, cuadrado, paralelogramo, rectángulo, perímetro, área, volumen, polígono.
</p><p style="text-align: left;"><br /></p><p style="text-align: left;">
</p><p style="text-align: left;">
</p><p style="text-align: left;">
</p><p style="text-align: left;">
</p>Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-37269992325899952502023-05-18T19:39:00.001-07:002023-05-18T19:58:37.255-07:00PLAN DE MEJORAMIENTO TRIGONOMETRÍA <p> <b style="text-align: center;"><span style="font-size: 14pt;">SECRETARIA
DE EDUCACIÓN</span></b></p><!--StartFragment-->
<div class="WordSection1">
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" stroked="f">
<v:fill src="file:///data/user/0/com.microsoft.office.officehubrow/files/temp/msohtmlclip/clip_image003.jpg"
o:title="ECUDO NUEVA C" recolor="t" rotate="t" type="frame"/>
<v:path arrowok="t"/>
</v:rect><![endif]--><!--[if !vml]--><span style="height: 374px; left: 0px; margin-left: 481px; margin-top: 184px; mso-ignore: vglayout; position: absolute; width: 361px; z-index: 251657216;"><img alt="ECUDO NUEVA C" height="74" src="file:///data/user/0/com.microsoft.office.officehubrow/files/temp/msohtmlclip/clip_image004.png" v:shapes="Rectangle_x0020_3" width="72" /></span><!--[endif]--><b><span style="font-size: 10pt;">COLEGIO
NUEVA COLOMBIA IED<o:p></o:p></span></b></p>
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: 0cm; margin-top: 0cm; margin: 0cm 0cm 0cm 14.2pt; mso-add-space: auto; text-align: center;"><b><span style="font-size: 10pt;">PLAN DE MEJORAMIENTO 1 PERIODO<o:p></o:p></span></b></p>
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: 0cm; margin-top: 0cm; margin: 0cm 0cm 0cm 14.2pt; mso-add-space: auto; text-align: center;"><b><span style="font-size: 10pt;">TRIGONOMETRÍA – CURSOS 1001-1002 Y 1003<o:p></o:p></span></b></p>
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 14.2pt; margin-right: 0cm; margin-top: 0cm; margin: 0cm 0cm 0cm 14.2pt; mso-add-space: auto; text-align: center;"><b><span style="font-size: 10pt;">HÉCTOR RODRÍGUEZ <o:p></o:p></span></b></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 32.2pt; margin-right: 0cm; margin-top: 0cm; margin: 0cm 0cm 0cm 32.2pt; mso-add-space: auto;"><b><span style="font-size: 10pt;"><o:p> </o:p></span></b></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; margin-left: 32.2pt; margin-right: 0cm; margin-top: 0cm; margin: 0cm 0cm 0cm 32.2pt; mso-add-space: auto;"><b><span style="font-size: 10pt;">Resolver todos los siguientes ejercicios
en hojas cuadriculadas y presentar evaluación de sustentación en los tiempos
que el colegio determine de acuerdo al plan de mejoramiento.</span></b></p></div><!--EndFragment--><p>A. RESUELVA Y GRAFIQUE LAS SIGUIENTES ECUACIONES CUADRÁTICAS
</p><p>1. x²-5x+6=0. 2. x²+x-2=0. 3. 3x²-5x-2=0 4. 5x²+13x-6=0. 5. 20x²+x-1=0 6. x²-3x+2=0 7. x²-6x+9=0
</p><p>8. x²-5x+4=0 9. -x²-4x+5=0 10. -x²-4x-2=0 11. x²+3x-10=0 12. 2x²+x-6=0
</p><p>B. HAGA LA GRÁFICA DE LAS SIGUIENTES FUNCIONES EXPONENCIALES Y LOGARITMICAS
</p><p>1. F(x)=2x +3 2. Y=3x-2 3. Y=0.52x 4. F(x)=2-x 5. Y=0.2-x-2 6. F(x)=40.2x. 7. Y=5-x – 3. 8. Y=0.2x – 3
</p><p>9. Y=log2 x + 1 10. Y= log3 (x-2). 11. Y=log 0.5 x 12. Y=log e x 13. Log 4 (x+2) 14. Y= log 5 x -1. 15. Ln (x+2)
</p><p>C. RESUELVA LAS SIGUIENTES OPERACIONES Y SIMPLIFIQUE SI ES NECESARIO.
</p><p>1. 45⁰38´59”+67⁰48´56”+57⁰45´49”
</p><p>2. 54⁰59´45”+45⁰42´44”+19⁰33´50”
</p><p>3. 49⁰54´48”+39⁰34´48”+49⁰29´38”
</p><p>4. 79⁰58´55”+37⁰44´59”+103⁰55´37”
</p><p>5. 89⁰51´49”+33⁰49´39”+102⁰48´29”
</p><p>6. 47⁰45´44”+79⁰37´45”+36⁰48”
</p><p>7. 45⁰56´+34⁰47”+32⁰45`34”
</p><p>8. 47⁰58´45”+57⁰67´46”+56⁰55”
</p><p>9. 89⁰45´78”+78⁰34´48”+34⁰5´58”
</p><p>10. 34⁰24´45”—5⁰34´56”
</p><p>11. 78⁰45´12”—21⁰50´18”
</p><p>12. 56⁰41´34”—23⁰16´45
</p><p>13. 23⁰17´45”—12⁰24´45”
</p><p>14. Halle el complemento de 34⁰23´34”
</p><p>15. Complemento de 56⁰31´45”
</p><p>16. Complemento de 33⁰34´
</p><p>17. Suplemento de 105⁰34´35”
</p><p>18. Suplemento de 34⁰35´25”
</p><p>19. (34⁰45´49”)x9
</p><p>20. 45⁰46´56”x7
</p><p>21. 56⁰46´56”x6
</p><p>22. 45⁰´56´32”x5
</p><p>23. 32⁰56´12”x8
</p><p>24. 45⁰56´49”x4
</p><p>25. 34´38”x3
</p><p>26. 23⁰16”x11
</p><p>27. 36⁰12´56”x10
</p><p>28. 46⁰21´54”x7
</p><p>29. 47°54’37”÷9
</p><p>30. 145°23’11”÷7
</p><p>31. 241°59’19”÷5
</p><p>32. 157°49’÷7
</p><p>33. 31°57”÷8
</p><p>34. 355°21’29”÷4
</p><p>35. 54°5’56”÷6
</p><p>D. Grafique cada uno de los siguientes ángulos en posición normal
</p><p>1. 157⁰
</p><p>2. 325⁰
</p><p>3. –235⁰
</p><p>4. 350⁰
</p><p>5. –375⁰
</p><p>6. –684⁰
</p><p>7. 875⁰
</p><p>8. 956⁰
</p><p>9. –215⁰
</p><p>10. 320⁰
</p><p>E. Transformar los siguientes ángulos a sistema sexagesimal o circular según el caso.
</p><p>1. 120⁰
</p><p>2. 330⁰
</p><p>3. 45⁰
</p><p>4. 225⁰
</p><p>5. 450⁰
</p><p>6. 3π/5 rad
</p><p>7. 7 π/2 rad
</p><p>8. 13 π rad
</p><p>9. 17 π/9 rad
</p><p>10. 3 π4 rad
</p><p>11. 9 π/5 rad
</p><p>12. 19 π/3 rad
</p><p>13. 425 ᴼ
</p><p>14. 555ᴼ
</p><p>15. 23 π/3 rad
</p><p>Movimiento Circular. Si s es la distancia recorrida a lo largo de un circulo en un tiempo t, entonces la velocidad lineal v del objeto se define como v = s/t. A medida que el objeto se desplaza a lo largo del circulo barre un ángulo (medido en radianes) en un tiempo t, entonces la velocidad angular w de este objeto es el ángulo (medido en radianes) barrido, dividido entre el tiempo transcurrido w = /t. Existe una relación entre la velocidad angular y la velocidad lineal que es v = rw. (no olvidar =s/r).
</p><p>F. De acuerdo a lo anterior resolver:
</p><p>1. Una mosca camina a lo largo de una circunferencia de radio 85 cm, ¿qué medida angular en GMS ha generado cuando ha recorrido 159 cm?
</p><p>2. Un automóvil viaja a lo largo de una pista circular de 5 km de radio. Cuando ha barrido un ángulo de 250°, ¿cuántos km ha recorrido?
</p><p>3. Una hormiga recorre el borde de un disco circular que tiene un diámetro de 50 cm, si ha recorrido 1 m, ¿qué ángulo en GMS ha generado en este recorrido?
</p><p>4. Las cuerdas que sostienen un columpio tienen 3 m de largas, si se desplaza en cada recorrido 4.5 m, ¿qué ángulo genera en cada desplazamiento en GMS?
</p><p>5. El segundero de un reloj mide 20 cm de largo. Hallar la velocidad lineal y angular de la punta.
</p><p>6. Un objeto viaja sobre un círculo de 3 metros de radio. Si el objeto recorre 7 m en 30 segundos, ¿Cuál será su velocidad lineal?, ¿Cuál será su velocidad angular?
</p><p>7. Un móvil viaja sobre un círculo de 8 cm de radio. Si barre un ángulo central de 1/4 de radián en 25 segundos, ¿Cuál es su velocidad lineal?, ¿Cuál es su velocidad angular?
</p><p>8. Una bicicleta recorre una pista circular de 800 m de radio, si realiza ¾ de vuelta en 25 minutos. Hallar la velocidad lineal y angular que lleva la bicicleta.
</p><p>9. El limpiaparabrisas de un auto tiene 45 cm de longitud. Si efectúa 1/3 de revolución en un segundo. ¿Qué velocidad lineal tendrá su punta?
</p><p>10. La hoja de una sierra circular tiene un diámetro de 18,4 cm y gira a 2400 rpm. Determinar:
</p><p>a) La velocidad angular de la hoja en radianes por segundo
</p><p>b) La velocidad lineal que tienen los dientes de la sierra al golpear la superficie que cortan.
</p><p>11. El péndulo de un reloj mide 75 cm y al balancearse se desplaza 12° a cada lado de la vertical. ¿Cuál es la longitud del arco que describe?
</p><p>12. Un objeto se halla pegado al borde de un disco que tiene 25 cm de radio, si el disco da dos vueltas en un segundo. Hallar la velocidad lineal y angular del objeto.
</p><p>13. Un satélite se encuentra en órbita a 180 km de la superficie terrestre y tarda 90 minutos en efectuar una revolución completa. Determina su velocidad lineal en km por minuto.
</p><p> (radio terrestre =6400 km</p><p>
</p><p>
</p><p>
</p><p>
</p><p>
</p><p>
</p><p>
</p><p>
</p><p>
</p><p>
</p><p>
</p><p>
</p><p>
</p>Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-45159950859595512252022-06-27T16:02:00.000-07:002022-06-27T16:02:23.980-07:00PREGUNTAS DE LOS LIBROS "MALDITAS MATEMÁTICAS" Y "EL HOMBRE QUE CALCULABA"<p> </p><!--StartFragment-->
<p class="MsoListParagraph"><b>Estudiantes de los 1001, 1002, 1003 y 1004, las
preguntas de libro “EL HOMBRE QUE CALCULABA”, se encuentran más abajo en la anterior
entrada, gracias.<o:p></o:p></b></p>
<p align="center" class="MsoNormal" style="text-align: center;"><b><span style="color: #c00000;">PREGUNTAS DEL LIBRO “MALDITAS MATEMÁTICAS”<o:p></o:p></span></b></p>
<p class="MsoNormal"><b>Estudiantes del Curso 807, del Colegio Nueva Colombia IED,
por favor leer los capítulos del 1 al 5 del libro “MALDITAS MATEMÁTICAS” y
responder las siguientes preguntas y entregarlas en hojas en la primera clase después
del receso escolar.<o:p></o:p></b></p>
<p class="MsoNormal"><b><span style="color: #002060;">CAPÍTULO 1: LAS MATEMÁTICAS
NO SIRVEN PARA NADA</span></b><span style="color: #002060;"><o:p></o:p></span></p>
<p class="MsoNormal">1. Que estaba
haciendo Alicia en el parque?<o:p></o:p></p>
<p class="MsoNormal">2. Quién se le
presentó? Qué expresión tenía y a que se dedicaba?<o:p></o:p></p>
<p class="MsoNormal">3. Según este
personaje, cuál es el origen y base de todas las Matemáticas?<o:p></o:p></p>
<p class="MsoNormal"><b><span style="color: #00b050;">CAPÍTULO 2: EL CUENTO DE LA
CUENTA</span></b><span style="color: #00b050;"><o:p></o:p></span></p>
<p class="MsoNormal">4. En qué consistió
el cuento de aprender a contar, que le contó el matemático a Alicia?<o:p></o:p></p>
<p class="MsoNormal">5. De qué
materiales eran los cuencos en que echaba el pastor las piedras?<o:p></o:p></p>
<p class="MsoNormal">6. Cómo nacieron y
qué ventajas tienen los números actuales?<o:p></o:p></p>
<p class="MsoNormal">7. Porqué es
posicional nuestro sistema decimal?<o:p></o:p></p>
<p class="MsoNormal"><b><span style="color: #ffc000;">CAPÍTULO 3: EL AGUJERO DEL
GUSANO</span></b><span style="color: #ffc000;"><o:p></o:p></span></p>
<p class="MsoNormal">8. Cómo entraron al
País de los Números?<o:p></o:p></p>
<p class="MsoNormal">9. En qué consiste
un Agujero de Gusano y porque se llama así?<o:p></o:p></p>
<p class="MsoNormal">10. Después de cruzar Alicia por el
agujero de gusano, a dónde llegó?<o:p></o:p></p>
<p class="MsoNormal">11. Qué vio a su alrededor?<o:p></o:p></p>
<p class="MsoNormal"><b><span style="color: #7030a0;">CAPÍTULO 4: EL PAÍS DE LOS
NÚMEROS</span></b><span style="color: #7030a0;"><o:p></o:p></span></p>
<p class="MsoNormal">12. Cómo se llama el autor de “Alicia en el
País de las Maravillas”? Cuál es su verdadero nombre?<o:p></o:p></p>
<p class="MsoNormal">13. Con qué naipes se encontraron? Y de qué
color tenía cada uno su bote?<o:p></o:p></p>
<p class="MsoNormal">14. Porqué discutían los tres naipes cuando
llegó la Reina de Corazones?<o:p></o:p></p>
<p class="MsoNormal">15. Porqué la Reina de Corazones odia los
números primos?<o:p></o:p></p>
<p class="MsoNormal">16. Qué es un número compuesto? Qué es
“factorial de un número”?<o:p></o:p></p>
<p class="MsoNormal">17. Según Charlie, como se forma una lista
de 100 números consecutivos compuestos?<o:p></o:p></p>
<p class="MsoNormal">18. Qué título le dio la Reina de Corazones
a Charlie?<o:p></o:p></p>
<p class="MsoNormal">19. Porqué todo el séquito de la Reina le
tenía tanto miedo al Cero?<o:p></o:p></p>
<p class="MsoNormal">20. Cuál es la forma o fórmula para hallar
los pares y los impares?<o:p></o:p></p>
<p class="MsoNormal"><b><span style="color: #92d050;">CAPÍTULO 5: LA CRIBA DE ERATÓSTENES</span></b><span style="color: #92d050;"><o:p></o:p></span></p>
<p class="MsoNormal">21. Qué significa una criba? De dónde era
Eratóstenes y en qué siglo vivió?<o:p></o:p></p>
<p class="MsoNormal">22. Cuál es el único número primo y par?<o:p></o:p></p>
<p class="MsoNormal">23. Explique cómo se hace una criba para
hallar los números primos.<o:p></o:p></p>
<p class="MsoNormal">24. Escriba los 25 primeros números primos
menores que 100.<o:p></o:p></p>
<p class="MsoNormal">25. Cómo se puede ser menos que cero?<o:p></o:p></p>
<!--EndFragment-->Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-77805974888957728592021-02-15T11:41:00.001-08:002021-02-15T11:41:26.078-08:00GUÍA 1 PERIODO 1 GRADO ONCE - AREAS INTEGRADAS: MATEMÁTICAS, CIENCIAS NATURALES Y TECNOLOGÍA<span id="docs-internal-guid-81b85b19-7fff-2ce8-dc77-8c6512498986"><div style="text-align: center;"><br /></div><div><span><br /></span></div><div style="text-align: center;"><b><span style="color: red; font-size: large;">HOLA ESTUDIANTES DE GRADO ONCE ESTA ES LA GUÍA 1 DEL PERIODO 1</span></b></div></span><div><span><br /><div align="left" dir="ltr" style="margin-left: 29.550000000000004pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="96"></col><col width="133"></col><col width="251"></col><col width="124"></col></colgroup><tbody><tr style="height: 41.9pt;"><td colspan="4" style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 5.95pt; margin-top: 0pt; text-align: center;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Áreas</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: "Quattrocento Sans", sans-serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;"> </span></span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 3pt; margin-top: 0pt; text-align: center;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Ciencias Naturales, Matemáticas Informática y Tecnología</span><span style="font-family: "Quattrocento Sans", sans-serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;"> </span></span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p></td></tr><tr style="height: 41.9pt;"><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Docentes: </span></p></td><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 0.1pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Área/asignatura </span></p></td><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Correo Electrónico </span></p></td><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Medio para entregar trabajos </span></p></td></tr><tr style="height: 23.5pt;"><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Luz Marina Casas </span></p></td><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 0.1pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Matemáticas/ Calculo </span></p></td><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="color: blue; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">lmcasas@educacionbogota.edu.co</span><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p></td><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">TEAMS </span></p></td></tr><tr style="height: 23.5pt;"><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Héctor </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Rodríguez </span></p></td><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 0.1pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Matemáticas/ Calculo </span></p></td><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="color: blue; font-family: Arial;"><span style="font-size: 13.3333px; white-space: pre-wrap;"><u>hrmatematicas5@gmail.com</u></span></span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="color: blue; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">hhrodriguezb@educacionbogota.edu.co</span><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p></td><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">TEAMS </span></p></td></tr><tr style="height: 23.55pt;"><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Gloria </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Casallas </span></p></td><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 0.1pt; margin-right: 0.9pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ciencias N./Química </span></p></td><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="color: blue; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">gmcasallas@educacionbogota.edu.co</span><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p></td><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">TEAMS </span></p></td></tr><tr style="height: 23.5pt;"><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Javier Santana </span></p></td><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 0.1pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ciencias N. /Fisica </span></p></td><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="color: blue; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">jfsantanaa@educacionbogota.edu.co</span><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p></td><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">TEAMS </span></p></td></tr><tr style="height: 28.8pt;"><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Oscar </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Mendoza </span></p></td><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 0.1pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Tecnología e informática </span></p></td><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 2.9pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="color: blue; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">omendoza@educacionbogota.edu.co</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p></td><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">TEAMS </span></p></td></tr><tr style="height: 58.1pt;"><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: middle;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Competencia Transversal </span></p></td><td colspan="3" style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2049999999999998; margin-bottom: 0pt; margin-left: 0.1pt; margin-right: 8.25pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El estudiante está en capacidad de plantear alternativas de solución a problemas de tipo ambiental, ético, social y la evolución de los sistemas tecnológicos formulando hipótesis explicativas y obteniendo e interpretando datos, como también estableciendo las relaciones matemáticas. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 0.1pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p></td></tr><tr style="height: 57.95pt;"><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Objetivo de desarrollo sostenible </span></p></td><td colspan="3" style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.1949999999999998; margin-bottom: 0.1pt; margin-left: 52.6pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Garantizar la disponibilidad de agua y su gestión sostenible y el saneamiento para todos. </span><span style="border: none; display: inline-block; height: 57px; overflow: hidden; width: 57px;"><img height="57" src="https://lh4.googleusercontent.com/NRjZvPq5bN0QlK273hYc7-eO-5tp--rRdHvcsXV5_6BNM-pkg9cJllYDp7j-i8cCSdqnuUEfO0NcKVnkUBLvV5ZlNC3uK_Wb6piBYr_JG3BdzHl0RqAUBprb5wWJUS21DKa0EpqutS8BfOH2fg" style="margin-left: 0px; margin-top: 0px;" width="57" /></span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 52.6pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 52.6pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 0.1pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p></td></tr><tr style="height: 46.6pt;"><td style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Criterios de evaluación </span><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p></td><td colspan="3" style="border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.45pt 2.75pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 0.1pt; margin-right: 0.35pt; margin-top: 0pt;"><span style="color: #333333; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La guía está diseña bajo un eje transversal y aborda los temas de las 3 áreas, es importante tener en cuenta que las notas de cada asignatura son independientes, por consiguiente, los estudiantes deben enviar el desarrollo de la guía al docente de la asignatura correspondiente. </span><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p></td></tr></tbody></table></div><p dir="ltr" style="line-height: 1.295; margin-bottom: 16.9pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.48; margin-bottom: 15pt; margin-right: 1.2pt; margin-top: 0pt; padding: 0pt 0pt 0pt 0.5pt; text-indent: -0.5pt;"><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Si bien se ha conseguido progresar de manera sustancial a la hora de ampliar el acceso a agua potable y saneamiento, existen miles de millones de personas (principalmente en áreas rurales) que aún carecen de estos servicios básicos. En todo el mundo, </span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">una de cada tres personas no tiene</span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">acceso a agua potable salubre</span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">, </span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">dos de cada cinco</span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">personas no disponen de una instalación básica</span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">destinada a lavarse las manos</span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> con agua y jabón, y más de </span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">673 millones de personas aún defecan al</span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">aire libre</span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">. </span><span style="border: none; display: inline-block; height: 227px; overflow: hidden; width: 370px;"><img height="227" src="https://lh5.googleusercontent.com/4PiED44JIK-TwqYkIHTgSUmLwv6F9wm4x80wssnq-w4c7iYJPlez3DB2wzKHUiJxOvVSuAC6Y9RcHLjDtoEZXvuZ90x-NFJyw6rS8BwPnAEy9vfJeSFmAVDlVV-E6U4pm-J0XbLzaqdFmjtdrA" style="margin-left: 0px; margin-top: 0px;" width="370" /></span></p><p dir="ltr" style="line-height: 1.48; margin-bottom: 15pt; margin-right: 1.2pt; margin-top: 0pt; padding: 0pt 0pt 0pt 0.5pt; text-indent: -0.5pt;"><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La pandemia de la COVID-19 ha puesto de manifiesto la importancia vital del saneamiento, la higiene y un acceso adecuado a agua limpia para prevenir y contener las enfermedades. </span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">La higiene de manos salva vidas</span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">. De acuerdo con la Organización Mundial de la Salud, </span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">el lavado de manos es una de las acciones más efectivas</span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">que se pueden llevar a cabo</span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> para reducir la propagación de patógenos y prevenir infecciones, incluido el virus de la COVID-19. Aun así, hay miles de millones de personas que carecen de acceso a agua salubre y saneamiento, y los fondos son insuficientes. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 16.3pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><h1 dir="ltr" style="background-color: #f2f2f2; line-height: 1.295; margin-bottom: 6.2pt; margin-left: -0.75pt; margin-right: 2.3pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Verdana; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Respuesta al COVID-19 </span></h1><p dir="ltr" style="background-color: #f2f2f2; line-height: 1.485; margin-bottom: 0pt; margin-left: -0.25pt; margin-right: 2.3pt; margin-top: 0pt; padding: 0pt 0pt 15pt 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La disponibilidad y el acceso a los servicios de agua, saneamiento e higiene (WASH) es fundamental para luchar contra el virus y preservar la salud y el bienestar de millones de personas. La COVID-19 no desaparecerá sin acceso a agua salubre para las personas que viven en situaciones de vulnerabilidad, </span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">de</span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">acuerdo con los expertos de Naciones Unidas</span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">. </span></p><p dir="ltr" style="background-color: #f2f2f2; line-height: 1.485; margin-bottom: 0pt; margin-left: -0.25pt; margin-right: 2.3pt; margin-top: 0pt; padding: 0pt 0pt 15pt 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Los efectos de la COVID-19 podrían llegar a ser considerablemente más graves sobre </span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">la población urbana</span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">pobre que vive en suburbios</span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> y que no tiene acceso a agua limpia. </span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">ONU-Hábitat</span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> está trabajando con asociados para facilitar el acceso a agua corriente y </span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">al lavado de manos en entornos informales</span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">. </span></p><p dir="ltr" style="background-color: #f2f2f2; line-height: 1.485; margin-bottom: 0pt; margin-left: -0.25pt; margin-right: 2.3pt; margin-top: 0pt; padding: 0pt 0pt 15pt 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">UNICEF</span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> está pidiendo de manera urgente que </span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">los fondos</span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> y la ayuda lleguen a más niñas y niños con instalaciones básicas de agua, saneamiento e higiene, especialmente a aquellos niños a los que se les corta el abastecimiento de agua salubre porque viven en áreas remotas, o en lugares donde el agua no se trata o está contaminada, o porque no tienen casa y viven en un suburbio o en la calle. </span></p><p dir="ltr" style="background-color: #f2f2f2; line-height: 1.485; margin-bottom: 0pt; margin-left: -0.25pt; margin-right: 2.3pt; margin-top: 0pt; padding: 0pt 0pt 15pt 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En respuesta al brote de la COVID-19, la Organización Internacional para las Migraciones (OIM) está </span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">ajustando</span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">sus servicios WASH</span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> con el objetivo de prevenir la propagación de la enfermedad. Esto incluye un apoyo continuado a los países afectados, en riesgo, con poca capacidad o frágiles como para asegurar los servicios WASH y el control y prevención de las infecciones en los centros de salud. </span></p><p dir="ltr" style="background-color: #f2f2f2; line-height: 1.485; margin-bottom: 15pt; margin-left: -0.25pt; margin-right: 2.3pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Obtenga más información sobre el trabajo de respuesta a la COVID-19 por parte de los miembros y asociados de </span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">ONU-Agua</span><span style="background-color: transparent; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">. </span></p><p dir="ltr" style="background-color: #f2f2f2; line-height: 1.295; margin-bottom: 15.45pt; margin-left: -0.75pt; margin-right: 2.3pt; margin-top: 0pt;"><span style="background-color: transparent; color: #4d4d4d; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><h1 dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">PREGUNTA PROBLEMICA </span></h1><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">¿Cómo promover el cuidado del agua y la gestión sostenible en el entorno, para disfrutar de una vida sana? </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 2.55pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 58px; overflow: hidden; width: 270px;"><img height="58" src="https://lh3.googleusercontent.com/zct9q-c2uFJaMRiil4wNWyIGFEasyfe6mINrjmfZYWAPJ9iMf1iIj7Z8iEcQZUokiWRA-wZtmk45wt9PELsBc8OurfVL06brinv2rJcYcuvrmBs3Xrlnv1TBAeri6gX6qsD7cMKHLF-odUKGhw" style="margin-left: 0px; margin-top: 0px;" width="270" /></span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 14.65pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">En esta Guía hacemos una pequeña introducción a las Ecuaciones Trigonométricas, después de ver los videos propuestos, desarrolle la siguiente guía en el cuaderno y tome foto para luego enviarla. </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 14.65pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Después de resolver los ejercicios planteados de esta guía, responda la siguiente evaluación en: </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 14.15pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 13.9pt; margin-top: 0pt;"><span style="color: blue; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">https://docs.google.com/forms/d/e/1FAIpQLSeUkL4BV3sBptxvJdFPaxjdGTtjn4xrMsk953 144VIowuXsVg/viewform</span><span style="color: #222222; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 14.15pt; margin-top: 0pt;"><span style="color: #222222; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 14.15pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 14.65pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> Para cualquier duda escribir a los correos: </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 14.15pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 14.65pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Cursos 1101 y 1103 al Profesor Héctor Rodríguez al correo: </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 13.9pt; margin-top: 0pt;"><span style="color: blue; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">hrmatematicas5@gmail.com</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 14.65pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Cursos 1102 y 1104 a la Profesora Luz Marina Casas al correo: </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 13.9pt; margin-top: 0pt;"><span style="color: blue; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">lumacasas11@gmail.com</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><h1 dir="ltr" style="line-height: 1.25; margin-bottom: 1.35pt; margin-left: -0.25pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">OBJETIVOS DE ESTA GUÍA </span></h1><h2 dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 18.5pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: "Quattrocento Sans", sans-serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">•</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Identificar las ecuaciones trigonométricas </span><span style="font-family: "Quattrocento Sans", sans-serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">•</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Resolver ecuaciones trigonométricas </span></h2><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 3.7pt; margin-left: 160.65pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 17px; overflow: hidden; width: 270px;"><img height="17" src="https://lh4.googleusercontent.com/qgRk89De3wNHqx1-PDIQoCz1leO3_512Jj9z_kUvtX1kaCQZ8uIi4H3DbaDLwam8Fy8sNgijcaM9zZdjsL7FwOCwUEfOF1p7H-KqriMQMW4IIkFYqI4SnVuqrq1OAq_uFbgFW-JeJRSdWe2_Wg" style="margin-left: 0px; margin-top: 0px;" width="270" /></span></span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="color: red; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">QUÉ SON LAS ECUACIONES TRIGONOMÉTRICAS? </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0.45pt; margin-top: 0pt;"><span style="color: red; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 2.15pt; margin-left: 36.5pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En las </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">ecuaciones trigonométricas</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> intervienen funciones trigonométricas, que son periódicas y por tanto sus soluciones se pueden presentar en uno o en dos cuadrantes y además se repiten en todas las vueltas. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 1.8pt; margin-left: 36pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 2.15pt; margin-left: 36.5pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Para resolver una </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">ecuación trigonométrica</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> haremos las transformaciones necesarias para trabajar con una sola función trigonométrica, para ello utilizaremos las </span><span style="color: blue; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">identidades trigonométricas fundamentales.</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 1.8pt; margin-left: 36pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 2.15pt; margin-left: 36.5pt; margin-right: 25pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Una </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">ecuación trigonométrica</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> es una </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">ecuación</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> en la </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">que</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> aparece una o más razones </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">trigonométricas</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">. Para resolver una </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">ecuación trigonométrica</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> es conveniente expresar todos los términos de la </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">ecuación</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> con el mismo arco (ángulo) y después reducirlo a una razón </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">trigonométrica</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">, o bien, factorizar la </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">ecuación</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> si es posible. </span><span style="border: none; display: inline-block; height: 594px; overflow: hidden; width: 689px;"><img height="594" src="https://lh6.googleusercontent.com/xFTfHKDQxWpSdLbvIlOZUbXQyCE7uU04nWumz1hN5dstCqnVtHGW5RAUtjbW30nQPVE_CSDBIZ7LmTBNYxqugH1y4XalpXjekSjtTpJMrg9-UORjQv9cFXnVHSL4PDkQWOl9IrEMEf07c7px_A" style="margin-left: 0px; margin-top: 0px;" width="689" /></span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 1.8pt; margin-left: 36pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 2.35pt; margin-left: 36.5pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Cuántas soluciones hay al resolver una ecuación Trigonométrica? </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 10.1pt; margin-left: 36.5pt; margin-right: 10.3pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Para la resolución de todas las </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">ecuaciones trigonométricas</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> tendremos en cuenta la circunferencia goniométrica, por tanto, para cada ecuación trigonométrica habrá dos </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">soluciones</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> entre 0° y 360°. Además, todas las </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">soluciones</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> se repiten en cada vuelta. </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 10.3pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Para funciones al cuadrado, es posible que haya 4 soluciones para cada uno de los cuadrantes. </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 12.35pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En algunos casos se utilizan las formula para el ángulo doble que son: </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">1. </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 6.7pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2. </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 2.8pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">De la fórmula anterior se puede escribir Cos 2a =1-2sen</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">a </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 22.6pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Cos 2a =2cos</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">a - 1 </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 6.7pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">3. </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: -0.55pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 910px; overflow: hidden; width: 677px;"><img height="910" src="https://lh4.googleusercontent.com/76NcY91Hgp6Bz_341EG3h7C9m5hXNsf0eGGwF9kSVvB-AFdxQEl4ddnBjGYImQ8tFmsf_HUHjgHOVfQAgEtFAtn1WLv7pDB9fQZ9TSa86OXnv3XBvoHUdgsTc2MJFnuiJ9Ra-mkUm1WXzKx1fw" style="margin-left: 0px; margin-top: 0px;" width="677" /></span></span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: -0.55pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 917px; overflow: hidden; width: 686px;"><img height="917" src="https://lh3.googleusercontent.com/yLUvcfA-eh5gVD3zdAzN5j1vhzPKZSs-3l8rRR6otNF00g9slnTTYw4QBsJT5z7ifwQK9QBlcP_TZARw5lSzq-l5-xqSTl5p1eI-uFyiVcmGHwlELn1HZJ4LrPSXwUS04kWE1e107O-8FRjvFw" style="margin-left: 0px; margin-top: 0px;" width="686" /></span></span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: -0.55pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 924px; overflow: hidden; width: 657px;"><img height="924" src="https://lh4.googleusercontent.com/0vEU5LmWezWdftDQC5UZm_M7V4JaWhyp-TW_gKSPilJjAcaaTKr4_Xidl3xCCG9eUxm_tlganJoAVpYLg1Pgit2rVspwVFtZzgIo06cRUozlO8CPv5RgSYVF1f7kRe038n-oX3CtaBb3yXO2vw" style="margin-left: 0px; margin-top: 0px;" width="657" /></span></span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 1.45pt; margin-left: -0.3pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 655px; overflow: hidden; width: 698px;"><img height="655" src="https://lh4.googleusercontent.com/3a95jlstKKZhYPVXq-ZFYp8EaAYIih4RwFDbSG-1MlM8HAUWLb7x1ManU846binbtqumZ7d2xwPsu64L0sMYx58Sh8g6al0Xo7-5n8cZd4GLUwXqUOuMrxj5hEm_KvRzbshNGeOPLPnvWiBWzw" style="margin-left: 0px; margin-top: 0px;" width="698" /></span></span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 8.05pt; margin-top: 0pt; text-align: justify;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.9pt; margin-top: 0pt; text-align: justify;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.9pt; margin-top: 0pt; text-align: justify;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 8.05pt; margin-top: 0pt; text-align: justify;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 6.8pt; margin-right: 3.3pt; margin-top: 0pt; text-align: center;"><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">QUIMICA </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.1pt; margin-right: 2.6pt; margin-top: 0pt; padding: 0pt 0pt 0pt 0.5pt; text-align: right; text-indent: -0.5pt;"><span style="color: #202124; font-family: Cooper; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Padre dígame que le han hecho al río </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.1pt; margin-right: 2.6pt; margin-top: 0pt; padding: 0pt 0pt 0pt 0.5pt; text-align: right; text-indent: -0.5pt;"><span style="color: #202124; font-family: Cooper; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">que ya no canta </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.1pt; margin-right: 2.6pt; margin-top: 0pt; padding: 0pt 0pt 0pt 0.5pt; text-align: right; text-indent: -0.5pt;"><span style="color: #202124; font-family: Cooper; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">que resbala como esos peces </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.1pt; margin-right: 2.6pt; margin-top: 0pt; padding: 0pt 0pt 0pt 0.5pt; text-align: right; text-indent: -0.5pt;"><span style="color: #202124; font-family: Cooper; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">que fueron a morir </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.1pt; margin-right: 2.6pt; margin-top: 0pt; padding: 0pt 0pt 0pt 0.5pt; text-align: right; text-indent: -0.5pt;"><span style="color: #202124; font-family: Cooper; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">bajo un palmo blanco de espuma. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 12.85pt; margin-right: 3.2pt; margin-top: 0pt; text-align: right;"><span style="color: #202124; font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Juan Manuel Serrat – Poema Catalán </span></p><p dir="ltr" style="line-height: 1.2550000000000001; margin-bottom: 13.55pt; margin-left: -0.25pt; margin-right: 2.85pt; margin-top: 0pt; text-align: justify;"><span style="color: #202124; font-family: Arial; font-size: 10pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El agua, al mismo tiempo que constituye el líquido más abundante en la Tierra, representa el recurso natural más importante y la base de toda forma de vida. El agua puede ser considerada como un recurso renovable cuando se controla cuidadosamente su uso, tratamiento, liberación y circulación. </span><span style="color: #252525; font-family: Arial; font-size: 10pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">De lo contrario es un recurso no renovable en una localidad determinada. </span></p><p dir="ltr" style="line-height: 1.2049999999999998; margin-bottom: 14.05pt; margin-right: 3.7pt; margin-top: 0pt; text-align: justify;"><span style="color: #252525; font-family: Arial; font-size: 10pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">No es usual encontrar el agua pura en forma natural, aunque en el laboratorio puede llegar a obtenerse o separarse en sus elementos constituyentes, que son el hidrógeno (H) y el oxígeno (O). Cada molécula de agua está formada por un átomo de oxígeno y dos de hidrógeno, unidos fuertemente en la forma H-O-H. </span></p><p dir="ltr" style="line-height: 1.2550000000000001; margin-bottom: 11.05pt; margin-left: -0.25pt; margin-right: 2.85pt; margin-top: 0pt; text-align: justify;"><span style="color: #202124; font-family: Arial; font-size: 10pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El agua es el líquido que más sustancias disuelve (disolvente universal), esta propiedad se debe a su capacidad para formar puentes de hidrógeno con otras sustancias, ya que estas se disuelven cuando interaccionan con las moléculas polares del agua. En el desarrollo de esta guía trataremos la composición y reacciones químicas de agua y de otras sustancias. </span></p><p dir="ltr" style="line-height: 1.3099999999999998; margin-bottom: 7.8pt; margin-left: -0.25pt; margin-right: 2.5pt; margin-top: 0pt; text-align: justify;"><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Estequiometría:</span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="color: #202124; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> es el cálculo para una ecuación química balanceada que determinará las proporciones entre reactivos y productos en una reacción química. </span></p><p dir="ltr" style="line-height: 1.3099999999999998; margin-bottom: 7.8pt; margin-left: -0.25pt; margin-right: 2.5pt; margin-top: 0pt; text-align: justify;"><span style="color: #202124; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Gracias a la estequiometria es posible conocer la masa y moles de reactantes que se necesitan para obtener una cantidad determinada de productos o la cantidad de productos que se pueden obtener a partir de una cantidad determinada de reactantes. </span></p><p dir="ltr" style="line-height: 1.875; margin-bottom: 0pt; margin-right: 274.6pt; margin-top: 0pt;"><span style="background-color: cyan; color: #202124; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Interpretación de una ecuación balanceada.</span><span style="color: #202124; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="color: #202124; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="background-color: lime; color: #202124; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2H</span><span style="background-color: lime; color: #202124; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: lime; color: #202124; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">O ------- 2H</span><span style="background-color: lime; color: #202124; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2 </span></span><span style="background-color: lime; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> + O</span><span style="background-color: lime; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;"> </span></span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 9.35pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Nos indica que: </span></p><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 1.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Una molécula de agua al descomponerse produce 2 moléculas de hidrógeno y una molécula de oxígeno. </span></p></li><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Un mol de agua produce dos moles de hidrógeno y un mol de oxígeno. </span></p></li><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">36 gramos de agua producen 4 gramos de hidrógeno y 32 gramos de oxígeno. La masa atómica de los elementos la obtenemos de la tabla periódica. </span></p></li></ul><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.55pt; margin-left: 36.5pt; margin-right: 38.25pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Cada átomo de hidrogeno pesa 1 gramo como hay 4 átomos son 4g de Hidrógeno El oxígeno pesa 16 gramos como hay do los multiplicamos y me da 32 gramos. </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.5pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Toda ecuación debe cumplir la ley de la conservación de la materia enunciada por: </span><span style="color: #202122; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Lavoisier</span><span style="color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">: </span><span style="font-family: Arial; font-size: 16pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">“</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En un sistema aislado, durante toda </span><span style="color: blue; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">reacción química</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ordinaria, la masa total en el sistema permanece constante, es decir, la masa consumida de los reactivos es igual a la masa de los productos obtenidos”. La suma de la masa de los reactivos debe ser igual a la suma de la masa de los productos, en este caso: </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><h1 dir="ltr" style="line-height: 1.295; margin-bottom: 9.75pt; margin-top: 0pt;"><span style="color: #202124; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">2H</span><span style="color: #202124; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="color: #202124; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">O </span><span style="color: #202124; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="color: #202124; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">2H</span><span style="color: #202124; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2 </span></span><span style="font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> + O</span><span style="font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> </span><img aria-roledescription="Dibujo" height="5" src="https://docs.google.com/drawings/u/0/d/sCr8UjPe6JFzcuEo2ufk1LA/image?w=29&h=5&rev=1&ac=1&parent=15mfjZp5lUf8qCHShl_VPMpKACgIpRMVBhQlgcu5ur0I" style="border: none;" width="29" /></h1><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.4pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">36g </span><span style="color: #202124; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">H</span><span style="color: #202124; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="color: #202124; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">O -----</span><span style="font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 4 </span><span style="color: #202124; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">H</span><span style="color: #202124; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> + 32 O</span><span style="font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">es decir cumple con la ley de la conservación de la materia reactivo 36g y producto 36g. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.95pt; margin-left: -0.25pt; margin-top: 0pt;"><span style="background-color: cyan; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">CALCULOS MASA A MASA</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.5pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Se basa en la relación del número de moles entre dos sustancias que participan en la reacción química. Un mol de una sustancia equivale al peso atómico o molecular de la sustancia. </span></p><h2 dir="ltr" style="line-height: 1.25; margin-bottom: 8.75pt; margin-left: -0.25pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ejemplo 1 </span></h2><p dir="ltr" style="line-height: 1.7499999999999998; margin-bottom: 2.75pt; margin-left: -0.25pt; margin-right: 29.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Calcular la masa de SO</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2 </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">dióxido de azufre que puede ser preparada a partir de la combustión completa de 94 g de azufre. Pesos atómicos S = 32g O = 16g Solución. </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La ecuación balanceada es: </span></p><div align="left" dir="ltr" style="margin-left: 89.55pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="241"></col></colgroup><tbody><tr style="height: 16.1pt;"><td style="background-color: lime; overflow-wrap: break-word; overflow: hidden; padding: 1.45pt 0pt 0pt 0pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> S</span><span style="background-color: transparent; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">8 </span></span><span style="background-color: transparent; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">+</span><span style="background-color: transparent; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;"> </span></span><span style="background-color: transparent; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 8O</span><span style="background-color: transparent; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: transparent; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="background-color: transparent; font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><img aria-roledescription="Dibujo" height="5" src="https://docs.google.com/drawings/u/0/d/sqRCtAJEYey03UAvugsZPMg/image?w=46&h=5&rev=1&ac=1&parent=15mfjZp5lUf8qCHShl_VPMpKACgIpRMVBhQlgcu5ur0I" style="border: none;" width="46" /></span><span style="background-color: transparent; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="background-color: transparent; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">8SO</span><span style="background-color: transparent; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span></p></td></tr></tbody></table></div><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 256,51g </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">S</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">8</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span></span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">512,5g de SO</span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 115.8pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 87.45pt; margin-top: 0pt;"><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Se hallan los pesos de las sustancias de la reacción que intervienen en el ejercicio </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 2.025; margin-bottom: 3.5pt; margin-left: -0.25pt; margin-right: 263.3pt; margin-top: 0pt;"><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 256,51g de S</span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">8</span></span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="color: #00b050; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> producen </span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">512,5g de SO</span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2 </span></span><span style="color: #202124; font-family: Arial; font-size: 8pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">94 g de S</span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">8</span></span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="color: #00b050; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> producen </span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">X g SO</span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2 </span></span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.3pt; margin-top: 0pt;"><span style="color: #202124; font-family: Arial; font-size: 8pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.8pt; margin-left: -0.25pt; margin-right: 87.45pt; margin-top: 0pt;"><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 512,5g de SO</span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2 </span></span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.45pt; margin-left: -0.25pt; margin-right: 87.45pt; margin-top: 0pt;"><span style="color: #202124; font-family: Arial; font-size: 8pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">94 g de S</span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">8</span></span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> =</span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: line-through; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 187,80 g SO</span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="border: none; display: inline-block; height: 26px; overflow: hidden; width: 68px;"><img height="26" src="https://lh3.googleusercontent.com/YwB0QSKNYyPS1SF1mfeTIlD9gCefCm8v382li2wU8CT0S0lX_Yx4wZFrr_-hLr8yKsXPbIm4-wcZpdaS2sAg7Jlv7oZc1nLZLCSXDRIcBtQPRB2hnzEG3tNmcvBi86LRK7RMq7b9WWWmTMAdIw" style="margin-left: 0px; margin-top: 0px;" width="68" /></span></p><p dir="ltr" style="line-height: 1.8949999999999998; margin-bottom: 1.4pt; margin-left: -0.25pt; margin-right: 290.8pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 256,51g de S</span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">8</span></span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="border: none; display: inline-block; height: 38px; overflow: hidden; width: 61px;"><img height="38" src="https://lh6.googleusercontent.com/FB5bZf2XIW8l6aQ4ukTYrK204z8MLrZlfI2_Gjvzo26OsVqYqGJh4bPTWGpqLat-WXCwCzWIiEF4070AbkaLlOen-DJswVLYzpu3qjdBXdgVCEDg2sm_B2V0MS5-wiNeH3mzHn2pGVKZQ3Gpdg" style="margin-left: 0px; margin-top: 0px;" width="61" /></span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.3pt; margin-left: -0.25pt; margin-right: 87.45pt; margin-top: 0pt;"><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">R</span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">. la combustión de 94 g de S</span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">8</span></span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> producen 187,80 g de SO</span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="color: #202124; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.95pt; margin-left: -0.25pt; margin-top: 0pt;"><span style="background-color: cyan; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">CALCULOS MOL A MOL</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.5pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Los problemas estequiométricos más simples son aquellos en los cuales se calcula el número de moles de las sustancias que han reaccionado o que se producen a partir de un determinado número de moles de otra sustancia. </span></p><h2 dir="ltr" style="line-height: 1.25; margin-bottom: 8.75pt; margin-left: -0.25pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ejemplo 2 </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> </span></h2><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.3pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La acción del ácido clorhídrico sobre el dióxido de manganeso produce MnCl</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">, H</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">O</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">y Cl</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">. A partir de 4,8 moles de HCl, ¿Cuántas moles de MnCl</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2 </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">se deben obtener? </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.5pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Solución </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.5pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La ecuación equilibrada es: </span></p><div align="left" dir="ltr" style="margin-left: 0pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="394"></col></colgroup><tbody><tr style="height: 13.8pt;"><td style="background-color: lime; overflow-wrap: break-word; overflow: hidden; padding: 0.65pt 0pt 0pt 0pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">4 HCl + MnO</span><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="background-color: transparent; font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><img aria-roledescription="Dibujo" height="5" src="https://docs.google.com/drawings/u/0/d/s8TxolSU9f1wB1_Ilo9aOUw/image?w=46&h=5&rev=1&ac=1&parent=15mfjZp5lUf8qCHShl_VPMpKACgIpRMVBhQlgcu5ur0I" style="border: none;" width="46" /></span><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">MnCl</span><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> + 2 H</span><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">O</span><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> + Cl</span><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span></p></td></tr></tbody></table></div><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.5pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> . </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.45pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> En la reacción: </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.55pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 4 mole de HCl </span><span style="color: #00b050; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">producen </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 1 mol de MnCl</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.45pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Con 4,8 mole de HCl </span><span style="color: #00b050; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">producen </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">x mol de MnCl</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.1pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.3pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 1 mol de MnCl</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">4,8 moles de HCl = </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 1,2 moles de MnCl</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.9pt; margin-left: -0.75pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">4 moles de HCl </span><span style="border: none; display: inline-block; height: 75px; overflow: hidden; width: 236px;"><img height="75" src="https://lh5.googleusercontent.com/RalUoHnd9VZFmF9zkboguakI-QKi_dv8M4y7yjpAjJwd9j3vxTGoPKrcEcbw4VOfm_F7WlG5zhp4-OIHgVSceFoPEDfDQRSI6xiaxIe1rNPzoPSgAkRUlStfRuRnvDpeOhoBe9VXIYdI_-vMRg" style="margin-left: 0px; margin-top: 0px;" width="236" /></span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 12.15pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.4pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">R. </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">4,8 moles de HCl producen 1,2 moles de MnCl</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.95pt; margin-left: -0.25pt; margin-top: 0pt;"><span style="background-color: cyan; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">CALCULOS MOL- MASA O MASA- MOL</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.5pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En esta calase de problemas se desea calcular el número de moles de una sustancia producidas a partir de, o que reaccionan con una masa dada de otra sustancia; o viceversa, dada una masa calcular moles. </span></p><h2 dir="ltr" style="line-height: 1.25; margin-bottom: 8.5pt; margin-left: -0.25pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ejemplo 3 </span></h2><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.6pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Cuando se hace reaccionar en el laboratorio hidróxido de sodio con ácido clorhídrico se obtiene agua y cloruro de sodio (sal de cocina), la reacción es la siguiente: </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.95pt; margin-left: -0.25pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="background-color: lime; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">HCl + NaOH ------ NaCl + H</span><span style="background-color: lime; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: lime; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">O</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ol style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: lower-alpha; margin-left: 8.65pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 87.35pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">¿Cuántos gramos de HCl se necesitan para producir 3 moles de agua? </span></p></li><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: lower-alpha; margin-left: 8.65pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.985; margin-bottom: 0.25pt; margin-right: 87.35pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">¿Con 100 g de NaOH cuantas moles de NaCl se Obtienen? Pesos atómicos Na = 23 g Cl = 35.4 g H = 1g O = 16 g La ecuación esta balanceada. </span></p></li></ol><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.5pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> HCl + NaOH ------ NaCl + H</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">O </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.55pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">1 mol de HCl + 1 mol de NaOH ----- 1 mol de NaCl + 1 mol de H</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">O </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.3pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">36,4 g HCl + 40 g de NaOH ------- 58.4g de NaCl + 16 g H</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">O </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.5pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Solución </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 18.5pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">a. </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 36.5pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 36,4 g HCl </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 36.5pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 3moles de H</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">O = </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: line-through; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 109,2 g de HCl </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 36.5pt; margin-right: 312.15pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 1 mol de H</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">O </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">R: </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> para producir 3 mole de agua se necesitan 109,2 g de HCl </span><span style="border: none; display: inline-block; height: 61px; overflow: hidden; width: 220px;"><img height="61" src="https://lh3.googleusercontent.com/-q6lVS_hCQ1-ZFmE_K3CjOVBYIVqm0uE7b2p2IDVe0nkJtgtKwUkUG-a8iHppgQnEPksbt0XfBm0R3duhuGbEH6ZHXMjRc_IL2fGe8RBrydQo9UogWtYAJUCqI3B7auSHKBghQwR-jIONnFsHg" style="margin-left: 0px; margin-top: 0px;" width="220" /></span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.4pt; margin-left: 18.5pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">b. 1 mol de NaCl </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.4pt; margin-left: 35.9pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Con 100 g de NaOH = </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: line-through; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 2,5 moles de NaCl </span><span style="border: none; display: inline-block; height: 78px; overflow: hidden; width: 234px;"><img height="78" src="https://lh3.googleusercontent.com/GyBGw6YMPxAparqFXFDtFHbJS9xM69lp4wfPZMQB0at8YPkPPd8fiuktZ924N6bH6-n9l3v2OrwEknvYLjChF6imxLVlllNn-PhWfZ-Mnq-bi090EKtka4TmqnhKjY8hv1khDLF1OAWXGgp-1A" style="margin-left: 0px; margin-top: 0px;" width="234" /></span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.3pt; margin-left: 35.9pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 40 g de NaOH </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 6.95pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><h2 dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">EJERCICIOS DE APLICACION </span></h2><div align="left" dir="ltr" style="margin-left: 6.8pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="201"></col><col width="195"></col><col width="200"></col></colgroup><tbody><tr style="height: 253.05pt;"><td colspan="3" style="background-color: #a8d08d; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.85pt 0pt 0pt 0pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 18.200000000000003pt; margin-right: 4.55pt; margin-top: 0pt; padding: 0pt 0pt 0pt 18pt; text-align: justify; text-indent: -18pt;"><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">1. La fotosíntesis es un proceso anabólico que realizan las plantas, algas y algunas bacterias fotosintéticas. En este proceso, las plantas captan energía lumínica proveniente del sol y la utilizan para sintetizar glucosa, principal molécula portadora de energía química. Este proceso ocurre según la siguiente ecuación no balanceada: </span></p><div align="left" dir="ltr" style="margin-left: 156.1pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="181"></col></colgroup><tbody><tr style="height: 12.6pt;"><td style="background-color: lime; overflow-wrap: break-word; overflow: hidden; padding: 1.75pt 0pt 0pt 0pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: -0.15pt; margin-top: 0pt; text-align: justify;"><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">CO</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> + H</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">O → C</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">6</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">H</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">12</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">O</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">6</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> + O</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span></p></td></tr></tbody></table></div><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 0.2pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ol style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="background-color: transparent; font-family: Calibri, sans-serif; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: upper-alpha; margin-left: 5.6pt; padding-left: 0.1pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Balancea la reacción química </span></p></li><li aria-level="1" dir="ltr" style="background-color: transparent; font-family: Calibri, sans-serif; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: upper-alpha; margin-left: 5.6pt; padding-left: 0.1pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.295; margin-bottom: 0.3pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">¿Cuántas moles de O</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> se obtienen con 3,5 moles de CO</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">? </span></p></li><li aria-level="1" dir="ltr" style="background-color: transparent; font-family: Calibri, sans-serif; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: upper-alpha; margin-left: 5.6pt; padding-left: 0.1pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">¿Con 600 g de CO</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> cuantos gramos de C</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">6</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">H</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">12</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">O</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">6</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> se obtienen? </span></p></li><li aria-level="1" dir="ltr" style="background-color: transparent; font-family: Calibri, sans-serif; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: upper-alpha; margin-left: 5.6pt; padding-left: 0.1pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.325; margin-bottom: 0.1pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Calcula la cantidad de (mol) de oxígeno (O</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">) que se obtiene cuando reaccionan 76 g de H</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">O. </span></p></li><li aria-level="1" dir="ltr" style="background-color: transparent; font-family: Calibri, sans-serif; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: upper-alpha; margin-left: 5.6pt; padding-left: 0.1pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.295; margin-bottom: 0.05pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">¿Cuántos gramos de C</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">6</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">H</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">12</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">O</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">6</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> se obtienen con 2,5 moles de agua? </span></p></li></ol><p dir="ltr" style="line-height: 1.295; margin-bottom: 0.15pt; margin-left: 0.2pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 18.200000000000003pt; margin-right: 4.95pt; margin-top: 0pt; padding: 0pt 0pt 0pt 18pt; text-align: justify; text-indent: -18pt;"><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2. El propano (C</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">H</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">8</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">) es un hidrocarburo gaseoso derivado del petróleo. Se emplea como combustible y como solvente selectivo en la refinación de los aceites lubricantes. Calcula la masa de oxígeno que se consume durante la combustión de 1kg de gas propano, si la ecuación equilibrada es </span></p></td></tr><tr style="height: 12.8pt;"><td style="background-color: #a8d08d; border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.85pt 0pt 0pt 0pt; vertical-align: top;"><br /></td><td style="background-color: lime; border-bottom: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.85pt 0pt 0pt 0pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">C</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">H</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">8</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> + 5 O</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> → 3 CO</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> + 4 H</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">O</span></p></td><td style="background-color: #a8d08d; border-bottom: solid #000000 0.5pt; border-right: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.85pt 0pt 0pt 0pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p></td></tr></tbody></table></div><p dir="ltr" style="line-height: 1.295; margin-bottom: 6.95pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><h2 dir="ltr" style="line-height: 1.295; margin-bottom: 6.95pt; margin-top: 0pt;"><span style="background-color: cyan; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">REACTIVO LIMITE Y REACTIVO EN EXCESO</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></h2><p dir="ltr" style="line-height: 1.2300000000000002; margin-bottom: 0.15pt; margin-left: -0.25pt; margin-right: 9.2pt; margin-top: 0pt; text-align: justify;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En una reacción química, el reactivo que se consume totalmente porque se encuentra en menor cantidad, se denomina </span><span style="background-color: cyan; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">reactivo limitante</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">; de él depende la cantidad máxima de producto que se forma. Si una reacción ha terminado es porque el reactivo limitante ha reaccionado por completo. Los otros reactivos, que se encuentran en exceso, se llaman </span><span style="background-color: cyan; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">reactivos excedentes</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">, y parte de ellos queda sin reaccionar. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><h3 dir="ltr" style="line-height: 1.25; margin-bottom: 4.75pt; margin-left: -0.25pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ejemplo 4 </span></h3><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 6.5pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Se tiene un recipiente con 55 g de N</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> y 55 g de H</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">. ¿Cuál será el reactivo limitante?, ¿cuántos gramos de NH</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> produce la reacción? </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 12.2pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> N</span><span style="font-family: Arial; font-size: 8pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> + 3 H</span><span style="font-family: Arial; font-size: 8pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2 -------- </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2 NH</span><span style="font-family: Arial; font-size: 8pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">3 </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Se calculan los moles de cada reactivo. Mol (n) </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.85pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 1 n N</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 1 n H</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.55pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">55 g N</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2 </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">=</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: line-through; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 1,96 n N</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2 </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 55 g H</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: line-through; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 27,5nH</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 28 g N</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 2 g H</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 15.5pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> nN</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 1,96 mol nH</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 27,5 mol para saber cual es el reactivo límite, es decir el que se agota primero se relacionan los reactivos entre sí y con la reacción de la siguiente manera. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 14.35pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 8pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.9pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 8pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">3n H</span><span style="font-family: Arial; font-size: 8pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.75pt; margin-top: 0pt;"><span style="color: red; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">1,96n N</span><span style="color: red; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="color: red; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">= </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: line-through; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 5,88n H</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2 </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.35pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 1n N</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.65pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 1n N</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.55pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="color: #0070c0; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">27,5n H</span><span style="color: #0070c0; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="color: #0070c0; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">= </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: line-through; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">= 9,17n N</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.2pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 3n H</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0.15pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Al revisar las dos ecuaciones </span><span style="color: red; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">el que de el menor resultado es el reactivo límite </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">y el otro es </span><span style="color: #0070c0; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">el reactivo en exceso. </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ahora cogemos el reactivo límite y miramos cuanto NH</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> se produce: </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 1.8pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.7pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 8pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2 n NH</span><span style="font-family: Arial; font-size: 8pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">3 </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.8pt; margin-left: -0.25pt; margin-right: 324.25pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">1,96n N</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: line-through; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 3,92 n NH</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 1n N</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Con 1,96 n N</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> se producen 3,92 n NH</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3 </span></span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 3.35pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 8pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El ejercicio pide la respuesta en gramos entonces: </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.15pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.45pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 17 g NH</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.3pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">3,92 n NH</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: line-through; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 66,64 g NH</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 1n </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">R. </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En la reacción de obtienen 1,96 moles de NH</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">, 66,64 g de NH</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><h3 dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ejercicios </span></h3><div align="left" dir="ltr" style="margin-left: -5.05pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="588"></col></colgroup><tbody><tr style="height: 132.45pt;"><td style="background-color: #a8d08d; border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 1.15pt 4.7pt 0pt 5.35pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ol style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.295; margin-bottom: 1.95pt; margin-right: 3.65pt; margin-top: 0pt;"><span style="background-color: transparent; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El nitruro de magnesio se produce mediante la siguiente reacción </span></p></li></ol><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">3Mg + N</span><span style="background-color: transparent; font-family: Arial; font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2 -------- </span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Mg</span><span style="background-color: transparent; font-family: Arial; font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">3 </span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">N</span><span style="background-color: transparent; font-family: Arial; font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2 </span></p><p dir="ltr" style="line-height: 1.17; margin-bottom: 0.8pt; margin-left: 36pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Cuánto nitruro de magnesio se produce a partir de 126g Mg y 82 g N</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">, cual es el reactivo límite y cual el exceso. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ol start="2" style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2149999999999999; margin-bottom: 1.35pt; margin-right: 3.65pt; margin-top: 0pt;"><span style="background-color: transparent; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Cuando se calienta el cobre en presencia del azufre se produce Cu</span><span style="background-color: transparent; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: transparent; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">S. ¿Cuánto sulfuro de cobre se produce a partir de 100 g de Cu y 50 g S? ¿Cuál es el reactivo límite y cual es el reactivo en exceso? </span></p></li></ol><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p></td></tr></tbody></table></div><p dir="ltr" style="line-height: 1.295; margin-bottom: 15.7pt; margin-top: 0pt;"><span style="color: #2f5496; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><h1 dir="ltr" style="line-height: 1.295; margin-bottom: 12.1pt; margin-top: 0pt;"><span style="background-color: cyan; color: #2f5496; font-family: Arial; font-size: 16pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">RENDIMIENTO DE LA REACCIÓN Y PUREZA</span><span style="color: #2f5496; font-family: Arial; font-size: 16pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> </span></h1><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="color: #2f5496; font-family: Arial; font-size: 16pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.2300000000000002; margin-bottom: 0.15pt; margin-left: -0.25pt; margin-right: 9.2pt; margin-top: 0pt; text-align: justify;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">Rendimiento teórico</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">: es la cantidad máxima de sustancia que se puede formar cuando reacciona todo el reactivo limitante. Por ejemplo, en el caso del amoníaco presentado en la página anterior, es de 66,64 g. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">Rendimiento real</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">: es la cantidad real de producto que se obtiene en una reacción química, una vez finalizado el proceso.(este dato siempre lo proporciona el ejercicio). </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.2300000000000002; margin-bottom: 0.15pt; margin-left: -0.25pt; margin-right: 9.2pt; margin-top: 0pt; text-align: justify;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En la mayoría de las reacciones que se realizan a nivel industrial o en laboratorios, es muy difícil obtener un rendimiento del 100%; en general, el rendimiento real será menor al teórico. Esto se puede deber a: </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: "Noto Sans Symbols", sans-serif; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: 12.5pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">que la reacción sea reversible, por lo que se volverán a formar reactantes. </span></p></li><li aria-level="1" dir="ltr" style="font-family: "Noto Sans Symbols", sans-serif; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: 12.5pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">se usen gases como reactivos, los que se escapan fácilmente. </span></p></li><li aria-level="1" dir="ltr" style="font-family: "Noto Sans Symbols", sans-serif; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: 12.5pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">los productos formados vuelven a reaccionar entre sí formando nuevos productos. </span><span style="font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">✓</span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">se pierde parte de los productos al trasvasijar de un recipiente a otro. </span></p></li></ul><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">Rendimiento porcentual</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">: este rendimiento representa la relación entre el rendimiento teórico </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0.55pt; margin-left: 139.5pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 44px; overflow: hidden; width: 287px;"><img height="44" src="https://lh3.googleusercontent.com/Ey2FOV8lritqwTaD6T4KJImRLmVP_tn5FINU8SNMcWKF7XHUCNqpUCZgY-gRG9O7cZbQukCFyhQ5x5-sqiGFnxmMKQsxL6IK9MF_4FmTuyYdnjvBQ3Q9Yq8xCphLmq9e2cHDnZ753FYz8nXiaQ" style="margin-left: 0px; margin-top: 0px;" width="287" /></span></span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">y el rendimiento real. Este rendimiento se obtiene aplicando la siguiente expresión </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><h2 dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ejemplo 5</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> </span></h2><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.5pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Por oxidación de 36 g de amoníaco se obtienen 50,82 g de óxido nítrico. ¿cuál es el porcentaje de rendimiento de la reacción? </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.65pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La ecuación balanceada es: </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.95pt; margin-left: -0.25pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="background-color: lime; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">4NH</span><span style="background-color: lime; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3</span></span><span style="background-color: lime; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> + 5 O</span><span style="background-color: lime; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: lime; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ------ 4 NO + 6 H</span><span style="background-color: lime; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: lime; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">O</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.5pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La producción teórica se obtiene trabajando el problema para saber cuántos g de óxido nítrico se obtiene a partir de 36 g de amoniaco. </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.8pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Entonces </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El peso de 4NH</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 68 g NH</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 4 NO = 120 g NO </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">68 g NH</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3 </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> producen 120 g NO en la reacción </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">36 g NH</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3 </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> producen X g NO en la reacción </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.3pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> (120 g NO) (36 g NH</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">)</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;"> </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.85pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> X = </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: line-through; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 63,52 g de NO </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.35pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 68 g NH</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3 </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.4pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El % de Rendimiento es: </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 6.95pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.3pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 50,82 g de NO </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.4pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">% = </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: line-through; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> x 100 = 80% </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.4pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 63,52 g de NO </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 6.8pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><h2 dir="ltr" style="line-height: 1.25; margin-bottom: 7.45pt; margin-left: -0.25pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ejercicios </span></h2><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><div align="left" dir="ltr" style="margin-left: -5.05pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="588"></col></colgroup><tbody><tr style="height: 78.5pt;"><td style="background-color: #a8d08d; border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.6pt 5.75pt 0pt 5.35pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><div align="left" dir="ltr" style="margin-left: 0pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="328"></col></colgroup><tbody><tr style="height: 12.6pt;"><td style="background-color: lime; overflow-wrap: break-word; overflow: hidden; padding: 0.65pt 0pt 0pt 0pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: -0.1pt; margin-top: 0pt; text-align: justify;"><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Na</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">CO</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> + Ca (OH)</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2 </span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ------ CaCO</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3</span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> + 2 NaOH</span></p></td></tr></tbody></table></div><p dir="ltr" style="line-height: 1.1949999999999998; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En una experiencia al hacer reaccionar 29 g de carbonato de sodio con exceso de hidróxido de calcio, se obtienen 25,7 g de carbonato de calcio ¿Cuál fue el rendimiento de la reacción? </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0.2pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p></td></tr></tbody></table></div><p dir="ltr" style="line-height: 1.295; margin-bottom: 6.95pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 4.8pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En muchos casos, para llevar a cabo una reacción química, no se encuentra con los reactivos puros. Los materiales de partida están acompañados de impurezas; esto es particularmente cierto en los procesos industriales. antes de hacer los cálculos estequiométricos en estas reacciones, es preciso calcular la cantidad de reactivo puro que existe, ya que las reacciones químicas suponen combinaciones entre sustancias completamente puras. </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 5.4pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Se conoce como rendimiento de una reacción a la cantidad de producto que se obtiene al finalizar una reacción química. Este rendimiento puede ser teórico, real o porcentual. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 4.9pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><h2 dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ejemplo 5 </span></h2><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Cuantos gramos de ácido fluorhídrico se puede obtener a partir de 200g de fluoruro de calcio de 90% de pureza, la reacción es </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: -0.25pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="background-color: lime; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">CaF</span><span style="background-color: lime; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: lime; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> H</span><span style="background-color: lime; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: lime; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">SO</span><span style="background-color: lime; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">4</span></span><span style="background-color: lime; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> -------- CaSO4 + 2HF</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Solución: </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Además de la ecuación balanceada y la incógnita de gramos de HF, el enunciado establece que el reactivo de partida es del 90% de pureza. </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La solución requiere calcular la cantidad de fluoruro de calcio puro en los 200 g de pureza así: </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 90 g puro </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">200 g CaF</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> impuro x = </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: line-through; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 180 g puro CaF</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 326.7pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 100 g impuro </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ahora debemos convertir los gramos a moles: </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 1 mol de CaF</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">180 g CaF</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: line-through; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 2,3 moles de CaF</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 5.7pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 78 g CaF</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2 </span></span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 9.35pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 8pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 2 n HF </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2,3 moles de CaF</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: line-through; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">= </span><span style="background-color: yellow; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">4,6 n HF</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.65pt; margin-left: -0.25pt; margin-right: 346.25pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 1 n CaF</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.35pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La respuesta esta en moles, pero la piden en gramos entonces: </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.45pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 20 g HF </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.4pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">4,6 n HF = </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: line-through; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = </span><span style="background-color: yellow; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">92 g HF</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 7.3pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 1 n HF </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 8.95pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ejercicios: </span></p><p dir="ltr" style="background-clip: padding-box; background-color: #a8d08d; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; line-height: 1.295; margin-bottom: 0pt; margin-left: 14.3pt; margin-right: 40.25pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ol style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; margin-left: -3.7pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="background-clip: padding-box; background-color: #a8d08d; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; line-height: 1.2; margin-bottom: 0pt; margin-right: 40.25pt; margin-top: 0pt; padding: 0pt 0pt 0.1pt 0pt;"><span style="background-color: transparent; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">¿Cuántos gramos de ácido clorhídrico se obtienen por la reacción de 400g de NaCl de 80% de pureza con H</span><span style="background-color: transparent; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">2</span></span><span style="background-color: transparent; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">SO</span><span style="background-color: transparent; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">4</span></span><span style="background-color: transparent; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Cual fue el rendimiento de la reacción, si se recogieron 190g de HCl? </span></p></li><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; margin-left: -3.7pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="background-clip: padding-box; background-color: #a8d08d; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; line-height: 1.2; margin-bottom: 0pt; margin-right: 40.25pt; margin-top: 0pt; padding: 0pt 0pt 0.1pt 0pt;"><span style="background-color: transparent; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">¿Cuántos gramos de KCLO</span><span style="background-color: transparent; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">3</span></span><span style="background-color: transparent; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> de 80% de pureza se requieren para obtener 128g de Oxígeno? </span></p></li></ol><p dir="ltr" style="background-clip: padding-box; background-color: #a8d08d; border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; line-height: 1.295; margin-bottom: 0pt; margin-left: 14.3pt; margin-right: 40.25pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.9pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 5.4pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 123.1pt; margin-top: 0pt; text-align: right;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 209px; overflow: hidden; width: 241px;"><img height="209" src="https://lh6.googleusercontent.com/w089iSBCYci4-7r3kmYHg-GfrFEmWRK9sPxxLLECzvj15WS5zHUMu6IWNTek-GihANCBjyxBTWwG2RYB2s4FsyCytuYuvtT8-TkpVlg0XGv4g3fJ9u77yIazZwJC19r5xE04zE5LOPi73ukjtw" style="margin-left: 0px; margin-top: 0px;" width="241" /></span></span><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 148px; overflow: hidden; width: 205px;"><img height="148" src="https://lh5.googleusercontent.com/24hJgD_wU40cToFdqCjkTC6Tdzbq_wBk063RlbFm3MO6MilZOaQ0H8-e0scIfglYfZ2JhMGfEwIlREjBkOFgd6KmZQwMvWCrEy_mwBg6Amh5mzTl4sc437x36XP67oiAVxVbIiVX2_5uANszBQ" style="margin-left: 0px; margin-top: 0px;" width="205" /></span></span><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 5.4pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 5.4pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 5.4pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 5.4pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 5.4pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 365px; overflow: hidden; width: 566px;"><img height="365" src="https://lh5.googleusercontent.com/HHEZadWLwcBzuPXu5nQHU7mnlCyVQHXuvp-7OnrHDa9nUnf2qa4RNAGYPHIo0EGHRBlzE5v372FznjZ8NUBQl5PHleitqaexBAAZGfyOZw84ot8PmPI8ZWIVTni3wdjSUFJf2arYdA1VjKDS3g" style="margin-left: 0px; margin-top: 0px;" width="566" /></span></span><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 1.75pt; margin-left: 41.4pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><h2 dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 5.4pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">Que son los humedales y cual es su importancia </span></h2><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 430.05pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 5.4pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.1949999999999998; margin-bottom: 6.5pt; margin-left: 5.4pt; margin-right: 482.85pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.22; margin-bottom: 3.4pt; margin-top: 0pt;"><span style="background-color: cyan; font-family: Arial; font-size: 18pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">Nota: Desarrollar los ejercicios planteados en el cuaderno de</span><span style="font-family: Arial; font-size: 18pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="background-color: cyan; font-family: Arial; font-size: 18pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">química y enviar evidencias por la plataforma teams.</span><span style="font-family: Calibri, sans-serif; font-size: 18pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.9pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 8.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.9pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 7.9pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 14.55pt; margin-left: 234.85pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 20px; overflow: hidden; width: 73px;"><img height="20" src="https://lh3.googleusercontent.com/pCfUD7xorAnGWPQVM7BftWsvvwjmKeBhaG_lDLjz4UDsCG5D9xrb9dvHTQHwiQdky1vSvbFWv15mDMQ2_Bz-bgoyPCpaTTD0S6S2qvFYuQ2HgzYetjY8zUVTm9HOEPDUeY3ZXTlJpntqIbZElg" style="margin-left: 0px; margin-top: 0px;" width="73" /></span></span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 9.3pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Teniendo en cuenta el objetivo de desarrollo sostenible desde y la pregunta problemica general, a partir de la signatura de física, podemos plantear la siguiente pregunta: </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: yellow; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">¿Cómo promover el cuidado del agua y la gestión sostenible desde mi hogar?</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Para enfocarnos en la pregunta anterior, es necesario comprender algunos conceptos básicos, relacionados con la hidrostática y en la hidrodinámica. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 3.4pt; margin-top: 0pt; text-align: center;"><span style="background-color: lightgrey; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">HIDROSTÁTICA</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 0.1pt; margin-top: 0pt; text-align: center;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">La hidrostática</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">: es el estudio de los fluidos en estado de reposo que pertenece al campo de la mecánica de fluidos, llamada también hidráulica. </span></p><ol style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 9.3pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">Densidad</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> Se denomina densidad a la masa que ocupa 1 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝑐𝑚</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">3</span></span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> de sustancia homogénea. La densidad (</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝜌</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">) de una sustancia se define como el cociente entre su masa (</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝑚</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">) y su volumen (</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝑉</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">), es decir: </span></p></li></ol><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-family: Arial; font-size: 18.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;"> </span></span><span style="font-family: Arial; font-size: 18.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span></span><span style="background-color: yellow; font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝜌</span><span style="background-color: yellow; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = </span><span style="background-color: yellow; font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑚</span><span style="background-color: yellow; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> /</span><span style="background-color: yellow; font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑉</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-family: Calibri, sans-serif; font-size: 17pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;"> </span></span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 36.5pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La unidad de medida de la densidad en el SI es el kilogramo sobre metro cúbico (1 kg/m3) aunque generalmente se expresa en gramos sobre centímetro cúbico (1 g/cm</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">3</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ). Debemos tener en cuenta que 1 g/cm</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">3</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 1.000 kg/m</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">3</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> . </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ol start="2" style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">Presión.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> La presión (</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝑃</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">) es la razón entre la fuerza perpendicular (</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝐹⊥</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">), ejercida sobre la superficie y el área (</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝐴</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">) de la misma. </span><span style="background-color: yellow; font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝑃</span><span style="background-color: yellow; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> = </span><span style="background-color: yellow; font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝐹⊥</span><span style="background-color: yellow; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> / </span><span style="background-color: yellow; font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝐴</span><span style="background-color: yellow; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> La unidad de medida de la presión en el SI se expresa a partir de la relación entre las unidades de medida de la fuerza y el área. La fuerza se mide en newton (</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝑁</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">) y el área en metros cuadrados (</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝑚</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> ); por ende, la presión se mide en Newton sobre metro cuadrado (</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝑁</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">⁄</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝑚</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">). Esta unidad se denomina pascal (</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝑃𝑎</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">). </span></p></li></ol><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 64.85pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 60.7pt; margin-top: 0pt; text-align: right;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 183px; overflow: hidden; width: 535px;"><img height="183" src="https://lh4.googleusercontent.com/7PzQgShVgP-79zJhbPgAJ79wUgKut48kCfi2gg-RYcm2qHvy4GvgwgZKHf02FkspT05wrvF8kwk2GOkvLolpxtpayi5_Ivk7ZRc9OnNyDZeByZxKCDJNF8G1HwtH09PVQWltYoCq6yRZ5r_2lg" style="margin-left: 0px; margin-top: 0px;" width="535" /></span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ol start="3" style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">Presión en los líquidos.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p></li></ol><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 176.15pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><img aria-roledescription="Dibujo" height="167" src="https://docs.google.com/drawings/u/0/d/sAXITwuC8ZqRQPaoC7h2kaw/image?w=281&h=167&rev=1&ac=1&parent=15mfjZp5lUf8qCHShl_VPMpKACgIpRMVBhQlgcu5ur0I" style="border: none;" width="281" /></span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-right: 140.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El líquido contenido en el recipiente ejerce una fuerza en dirección perpendicular a las paredes en cada punto de él (figura a). Por tal razón, al sumergir el sólido dentro del líquido, en cada punto de las paredes del sólido, el líquido ejerce fuerza en dirección perpendicular (figura b). </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La presión en un punto del interior de un líquido en reposo es proporcional a profundidad </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">ℎ</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">. Si se consideran dos líquidos diferentes, a la misma profundidad, la presión es mayor cuando el líquido es más denso. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 192.45pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 0.15pt; margin-top: 0pt; text-align: center;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 210px; overflow: hidden; width: 194px;"><img height="210" src="https://lh4.googleusercontent.com/cuZtjeBgFfQ8TZI2WMbOxspXFAYe23Dz4eg-3kC1uJnqEwbM6vA38Pl2jcgxg6b4B9as2wosmanTpIllEWzh2zYjNCEbTX9ZSYOGI_DkNwVIikL8yFCmPGrRY8XWKBJq4MiN3nSJ2WdHfuRdVg" style="margin-left: 0px; margin-top: 0px;" width="194" /></span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 0.95pt; margin-right: 0.6pt; margin-top: 0pt; text-align: center;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La presión no depende del área del recipiente y, en consecuencia, no depende del volumen del líquido contenido. Si ahora consideramos dos puntos, 1 y 2, cuyas profundidades dentro de un líquido en equilibrio son </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">ℎ</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">1 y </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">ℎ</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2, respectivamente (figura 4), tenemos que la presión en cada punto es: </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 3.25pt; margin-top: 0pt; text-align: center;"><span style="background-color: yellow; font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃</span><span style="background-color: yellow; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">1 = </span><span style="background-color: yellow; font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝜌</span><span style="background-color: yellow; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ∙ </span><span style="background-color: yellow; font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑔</span><span style="background-color: yellow; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ∙ </span><span style="background-color: yellow; font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">ℎ</span><span style="background-color: yellow; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">1 </span><span style="background-color: yellow; font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃</span><span style="background-color: yellow; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2 = </span><span style="background-color: yellow; font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝜌</span><span style="background-color: yellow; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ∙ </span><span style="background-color: yellow; font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑔</span><span style="background-color: yellow; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ∙ </span><span style="background-color: yellow; font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">ℎ</span><span style="background-color: yellow; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 0.1pt; margin-top: 0pt; text-align: center;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 0.95pt; margin-right: 3.65pt; margin-top: 0pt; text-align: center;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Lo cual se puede expresar como: </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">1 − </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2 = </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝜌</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ∙ </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑔</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ∙ (</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">ℎ</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">1 − </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">ℎ</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2 ) </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 0.1pt; margin-top: 0pt; text-align: center;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Esta igualdad recibe el nombre de ecuación fundamental de la hidrostática y muestra que: </span></p><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: -18pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La diferencia de presión entre dos puntos de un fluido en reposo depende de la diferencia de alturas. </span></p></li><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: -18pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Si los dos puntos están a la misma profundidad en el interior del líquido, soportan la misma presión independientemente de la forma del recipiente. </span><span style="background-color: yellow; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">P = </span><span style="background-color: yellow; font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝜌</span><span style="background-color: yellow; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ∙ </span><span style="background-color: yellow; font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑔</span><span style="background-color: yellow; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ∙ </span><span style="background-color: yellow; font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">ℎ</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p></li></ul><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-right: 510.1pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> EJEMPLOS</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">: </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> a) Una mujer de 70</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑘𝑔</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">, se balancea sobre uno de los tacones de sus zapatos. Si el tacón es circular con un radio de, 5</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑐𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">, ¿qué presión ejerce ella sobre el suelo? </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Solución: </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Calculamos la superficie de los tacones a partir del área del círculo. </span></p><h3 dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 3.4pt; margin-top: 0pt; padding: 0pt 0pt 0pt 0.5pt; text-align: center; text-indent: -0.5pt;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝐴𝑡𝑎𝑐ó𝑛</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> = </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝜋</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> ∙ </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝑟</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2 </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> </span></h3><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.75pt; margin-right: 113.75pt; margin-top: 0pt; text-indent: 147.85pt;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝐴𝑡𝑎𝑐ó𝑛</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝜋</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ∙ (0,5 × 10</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">-2</span></span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">)</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 7,85 × 10</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">-5</span></span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2 </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Ahora, se calcula el peso de la mujer: </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.75pt; margin-right: 95.8pt; margin-top: 0pt; text-indent: 103.7pt;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑤𝑚𝑢𝑗𝑒𝑟</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑚𝑚𝑢𝑗𝑒𝑟</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ∙ </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑔</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑤𝑚𝑢𝑗𝑒𝑟</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = (70</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑘𝑔</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">) (9,8 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑠</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ⁄ </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">) = 686</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑁</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> A partir de la definición de presión: </span></p><h3 dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 3.4pt; margin-top: 0pt; padding: 0pt 0pt 0pt 0.5pt; text-align: center; text-indent: -0.5pt;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝑃𝑡𝑎𝑐</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">ó</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝑛</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> = </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝐹⊥</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> /</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝐴𝑡𝑎𝑐</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">ó</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝑛</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> </span></h3><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.75pt; margin-right: 123.35pt; margin-top: 0pt; text-indent: 138pt;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃𝑡𝑎𝑐</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">ó</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑛</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 686</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑁</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> /7,85 × 10</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">-2 </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">m</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 8,74 × 10</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">6</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃𝑎</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> En conclusión, la mujer ejerce sobre el suelo una presión de 8,74 × 10</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">6</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃𝑎</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">b) Por una de las ramas de un tubo en U, que inicialmente contiene agua, se vierte aceite. Los líquidos no se mezclan y quedan distribuidos en el tubo como muestra la figura. Si la altura de la columna de aceite, </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">ℎ𝑎𝑐𝑒𝑖𝑡𝑒</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">, mide 22 cm y la diferencia de alturas de la columna de agua es de 20 cm, determinar la densidad del aceite. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 0.05pt; margin-top: 0pt; text-align: center;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 130px; overflow: hidden; width: 166px;"><img height="130" src="https://lh6.googleusercontent.com/6M_Te8MC-hVGmpTNYhkJKqwh0acDpQGlDFmPh2nc5XBaS67E7Rg-X9wK4gGHmRItbdJqA-jkyponWhI9-1Xfh_vrCX0ccU8K7gwMmZ-m40DVrVpbCHiS6nf7yLDwOOZ-VKLDqKn_cSM5FOdBDQ" style="margin-left: 0px; margin-top: 0px;" width="166" /></span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Solución</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">: </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Como los puntos 1 y 2 se encuentran a la misma presión, debido a que los líquidos están en equilibrio, entonces: </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 0.95pt; margin-right: 3.95pt; margin-top: 0pt; text-align: center;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">1 = </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2 </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Por ende, tenemos que: </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝜌𝑎𝑔𝑢𝑎</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ∙ </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑔</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ∙ </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">ℎ</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">1 = </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝜌𝑎𝑐𝑒𝑖𝑡𝑒</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ∙ </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑔</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ∙ </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">ℎ</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2 </span></p><h3 dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 3.35pt; margin-top: 0pt; padding: 0pt 0pt 0pt 0.5pt; text-align: center; text-indent: -0.5pt;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝜌𝑎𝑔𝑢𝑎</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> ∙ </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">ℎ</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">1 = </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝜌𝑎𝑐𝑒𝑖𝑡𝑒</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> ∙ </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">ℎ</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">2 </span></h3><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> (1 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑔</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ⁄ </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑐𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">3) ∙ (20</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑐𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">) = </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝜌𝑎𝑐𝑒𝑖𝑡𝑒</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ∙ (22</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑐𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">) </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 0.95pt; margin-right: 3.7pt; margin-top: 0pt; text-align: center;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝜌𝑎𝑐𝑒𝑖𝑡𝑒</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = (1 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑔</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ⁄ </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑐𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">3) ∙ (20</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑐𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">) /22</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑐𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><h3 dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 3.35pt; margin-top: 0pt; padding: 0pt 0pt 0pt 0.5pt; text-align: center; text-indent: -0.5pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝜌𝑎𝑐𝑒𝑖𝑡𝑒</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> = 0,9 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝑔</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> ⁄ </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">𝑐𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">3 </span></h3><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 0.1pt; margin-top: 0pt; text-align: center;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 0.95pt; margin-right: 3.8pt; margin-top: 0pt; text-align: center;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La densidad del aceite es 0,9 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑔</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ⁄ </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑐𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">3. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> En el estudio de la hidrostática estudiaremos dos principios que son fundamentales: el principio de Pascal y el principio de Arquímedes. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ol start="4" style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: decimal; margin-left: -18pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">Principio de Pascal.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> Si aplicamos una presión externa a cualquier punto de un fluido en reposo, esta presión se transmite exactamente igual a todos los puntos del fluido. Probablemente más de una vez has visto maquinaria pesada trabajando en las calles o en las carreteras levantando grandes piedras o rompiendo el pavimento para hacer algún arreglo. La pregunta que deberíamos hacernos es la siguiente, ¿cómo estas máquinas pueden desarrollar fuerzas tan grandes? La respuesta está en su mecanismo de funcionamiento. La mayoría de estas máquinas son hidráulicas, es decir, usan los fluidos para aplicar y aumentar las fuerzas. En las máquinas hidráulicas (en la figura se indica el mecanismo) el brazo que aplica la fuerza se mueve gracias a un líquido contenido en un cilindro, generalmente aceite que empuja un émbolo. Es muy importante el diámetro del émbolo ya que cuanto mayor es, más intensa es la fuerza desarrollada por la máquina hidráulica </span></p></li></ol><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 41.4pt; margin-top: 0pt; text-align: right;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><img aria-roledescription="Dibujo" height="118" src="https://docs.google.com/drawings/u/0/d/sh0AKj5VstzDRi1P_5NOU7A/image?w=643&h=118&rev=1&ac=1&parent=15mfjZp5lUf8qCHShl_VPMpKACgIpRMVBhQlgcu5ur0I" style="border: none;" width="643" /></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La prensa hidráulica es la aplicación del principio de Pascal, donde este es un multiplicador de fuerza </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ol start="5" style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: decimal; margin-left: -18pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">Principio de Arquímedes.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> Todo cuerpo sumergido en un fluido experimenta una fuerza de empuje vertical, hacia arriba, que es igual al peso del volumen de líquido desplazado. </span></p></li></ol><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 35.4pt; margin-right: 8.55pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><div align="left" dir="ltr" style="margin-left: -7.6pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="183"></col></colgroup><tbody><tr style="height: 86.25pt;"><td style="border-bottom: solid #000000 0.75pt; border-left: solid #000000 0.75pt; border-right: solid #000000 0.75pt; border-top: solid #000000 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5.25pt 5.75pt 0pt 7.6pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 6.15pt; margin-right: 1.65pt; margin-top: 0pt; text-align: center;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">E = </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝜌</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> . g. V</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">c </span></span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 1.75pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">E= fuerza de empuje </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0.2pt; margin-top: 0pt;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝜌</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = </span><span style="font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">densidad del liquido </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 2.65pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">V</span><span style="font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">c</span></span><span style="font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = volumen del cuerpo</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: "Cambria Math", serif; font-size: 9pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p></td></tr></tbody></table></div><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 122px; overflow: hidden; width: 290px;"><img height="122" src="https://lh4.googleusercontent.com/6kWpC0jQZVjyXbN7JiFPROSTMlBC3JP8oVRjiFQ2efEq7S5qg3XXIhQJgFM-UnM5_FBt8GUt09mM-fCF1Roo54tRNOQod-q4mu3z53IenyZaX0L5axwjiaRbzCXP0fFObxQJFNrtGE2WY1yjFQ" style="margin-left: 0px; margin-top: 0px;" width="290" /></span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 136px; overflow: hidden; width: 187px;"><img height="136" src="https://lh3.googleusercontent.com/uOXzTXnnuzSmdLCsDmNEp0FKsWwtKgdZohqtCYjMpF8j4lwPPSJQ-GWD8EdsCqLWnX8hg24MU9aDyMfV7zCfFty7HrxH9KBClO7h2uBYJBKa7nuRYaktz9ziTuyMC3FdH_8496yQ9MGENr8Vrg" style="margin-left: 0px; margin-top: 0px;" width="187" /></span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ol start="6" style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: decimal; margin-left: -18pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2300000000000002; margin-bottom: 0.15pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">Presión de los gases.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;"> La medida de la presión atmosférica El valor de la presión atmosférica al nivel del mar, por primera vez, fue determinado por el científico italiano Evangelista Torricelli en 1643. </span></p></li></ol><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Así pues, la presión atmosférica, </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃𝑎𝑡𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> equivale a la presión hidrostática producida por una columna de 760 mm de mercurio. Por ende: </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃𝑎𝑡𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝜌</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ∙ </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑔</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ∙ </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">ℎ </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Es decir, </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃𝑎𝑡𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = (13600 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑘𝑔</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">/ </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">3 ) ∙ (9,8031 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑚/</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑠</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ) ∙ 0,76</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃𝑎𝑡𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 101325 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃𝑎</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Otra unidad de presión es el milímetro de mercurio (mmHg) que equivale a la presión ejercida por una columna de mercurio de 1 mm de altura. </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 1 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑎𝑡𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 101325 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃𝑎</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 760 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑚𝑚𝐻𝑔</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><h3 dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 3.2pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">EJEMPLOS </span></h3><ol style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: lower-alpha; margin-left: -18pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2300000000000002; margin-bottom: 0.15pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Para levantar un carro se utiliza un gato hidráulico, como se muestra en la figura. Si la masa del automóvil es 1.000 kg y en el pistón A, cuya área es 20 cm</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">, se aplica una fuerza de 200 N, determinar el área del pistón B para que ejerza una presión igual a la ejercida por el pistón A. </span></p></li></ol><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 0.1pt; margin-top: 0pt; text-align: center;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 130px; overflow: hidden; width: 249px;"><img height="130" src="https://lh3.googleusercontent.com/7TQWU8s8tgVRbgAkDwSNlFH2_c2GAb0yLlNKIuUzYqUiRbWf_dh0RcAxCw7kE2JZ_vaWEXeyHSS3mNQEbpKyKm3k0ZbvjkWMuji2T4TP2pHFAV_LZI20C6ZMHFzCclZZfTCDNNkptBHqZfWzCQ" style="margin-left: 0px; margin-top: 0px;" width="249" /></span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Solución: Cuando se ejerce la fuerza </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝐹𝐴</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">⃗⃗</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> sobre el pistón </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝐴</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> de área </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝐴𝐴</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">, el líquido contenido en el dispositivo experimenta un aumento en la presión </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃𝐴</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> que de acuerdo con el principio de Pascal es igual al aumento de presión </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃𝐵</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> en el pistón </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝐵</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> de área </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝐴𝐵</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">, es decir, </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃𝐴</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃𝐵</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">, por tanto: </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 10.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">F</span><span style="font-family: Arial; font-size: 9pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">A </span><span style="font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">= </span><span style="font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">F</span><span style="font-family: Arial; font-size: 9pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">B</span><span style="font-family: Arial; font-size: 9pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 18.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;"> </span></span><span style="font-family: Arial; font-size: 18.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span></span><span style="font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">A</span><span style="font-family: Arial; font-size: 9pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">A </span><span style="font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">A</span><span style="font-family: Arial; font-size: 9pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">B </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Como la masa del carro es 1.000 kg, su peso es: </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 0.95pt; margin-right: 3.75pt; margin-top: 0pt; text-align: center;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑊</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ∙ </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑔</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 1000</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑘𝑔</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ∙ 9,8 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑠</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ⁄ 2 = 9800 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑁</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 82.4pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> luego </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">200 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">𝑁</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">9800 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">𝑁</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 20×10</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">-4</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> m</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> A</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">B </span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 0.95pt; margin-right: 3.8pt; margin-top: 0pt; text-align: center;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝐴</span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;">B</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">(20 × 10</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">-4</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">) ∙ (9800 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">𝑁</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">)</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 0,098 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> El área del pistón </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝐵</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> es 0,098 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> , </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.75pt; margin-right: 72.5pt; margin-top: 0pt; padding: 0pt 0pt 0pt 115pt; text-indent: -115pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 200 N es decir, 980 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑐𝑚</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> . </span></p><ol start="2" style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: lower-alpha; margin-left: -18pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En la figura se representa un manómetro construido con un tubo en U que contiene mercurio. Una de sus ramas está conectada por medio de una manguera a un balón herméticamente cerrado que contiene un gas y la diferencia de alturas entre los niveles de mercurio mide 20cm. Determinar: </span><span style="font-family: "Quattrocento Sans", sans-serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">•</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> La presión manométrica del gas. </span><span style="font-family: "Quattrocento Sans", sans-serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">•</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> La presión total del gas si la medida se realiza al nivel del mar. </span></p></li></ol><p dir="ltr" style="line-height: 1.08; margin-bottom: 1.4pt; margin-right: 193.85pt; margin-top: 0pt; text-indent: 214pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 142px; overflow: hidden; width: 154px;"><img height="142" src="https://lh5.googleusercontent.com/9zmaK0UqtTCCmusrWW_4S32r0MvLCoMnx_EYhWgywJty8H83adUSWoekmg_si5l-Bq2MWQAou_odyp39y7DB_M9Rza_8Mys1SGRpAoGh5FgxB8kqXGJD0fccpF3H-xHTnA5WoS_8aFRg2pW7AA" style="margin-left: 0px; margin-top: 0px;" width="154" /></span></span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ol start="3" style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: lower-alpha; margin-left: -18pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Solución: </span></p></li><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="2" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: -54pt; padding-left: 2.8pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Puesto que el nivel del mercurio en la rama del tubo que está conectada al gas es 200 mm menor que el nivel del mercurio en la rama con el extremo abierto, podemos concluir que la presión manométrica es 200 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑚𝑚𝐻𝑔</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">. </span></p></li></ul></ol><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 20.3pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="2" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: -18pt; padding-left: 2.8pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La presión total del gas es mayor que la presión atmosférica en 200 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑚𝑚𝐻𝑔</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> y es igual a la suma de la presión atmosférica más la presión manométrica, es decir, </span></p></li></ul><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 20.3pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: 17.45pt; margin-top: 0pt; text-align: center;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑃𝑔𝑎𝑠</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 200 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑚𝑚𝐻𝑔</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> + 760 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑚𝑚𝐻𝑔</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 960 </span><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">𝑚𝑚𝐻𝑔 </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 19.6pt; margin-top: 0pt; text-align: center;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 19.6pt; margin-top: 0pt; text-align: center;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 19.6pt; margin-top: 0pt; text-align: center;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 19.6pt; margin-top: 0pt; text-align: center;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 19.6pt; margin-top: 0pt; text-align: center;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 19.6pt; margin-top: 0pt; text-align: center;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 19.6pt; margin-top: 0pt; text-align: center;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 19.6pt; margin-top: 0pt; text-align: center;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 19.6pt; margin-top: 0pt; text-align: center;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 19.6pt; margin-top: 0pt; text-align: center;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 19.6pt; margin-top: 0pt; text-align: center;"><span style="font-family: "Cambria Math", serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><br /><div align="left" dir="ltr" style="margin-left: -5.05pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="670"></col></colgroup><tbody><tr style="height: 688.4pt;"><td style="background-color: #70ad47; border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0.6pt 4.9pt 0pt 5.35pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 20.3pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">ACTIVIDADES: </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 20.3pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">PUNTO COPIADO PUNTO RESUELTO (COPIAR PREGUNTA Y CONTESTAR) EN EL CUADERNO DE FÍSICA. MARCAR SEGÚN INSTRUCCIONES, ESCANEAR Y ENVIAR. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 20.3pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ol style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; margin-left: 3.25pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: transparent; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Teniendo en cuenta la presión que ejerce un líquido sobre un objeto, en nuestras viviendas contamos con recipientes o tanques para almacenar agua en caso de un corte; Halle la presión que ejerce el agua de un tanque que tiene como capacidad 1000 litros (de forma cilíndrica cuyas dimensiones son 1,98 m de alto y el diámetro de la base es de 80 cm) sobre un objeto que se encuentra: a) en el fondo del tanque b) En la mitad del tanque c) A ¾ de profundidad del tanque. Dibuje el tanque con cada una de las situaciones, y al frente haga el proceso. </span></p></li></ol><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 38.3pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ol start="2" style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; margin-left: 3.25pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: transparent; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Si tiene tanque en casa tomar una foto e indique la capacidad o volumen; indique la cantidad de sanitarios en casa y que volumen tienen de capacidad también tomar foto; van a estar pendientes de observar la cantidad de descargas de agua que se hacen cada día durante una semana. Los datos los van registrando en una tabla organizada. </span></p></li></ol><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 38.3pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Tomar una foto del recibo del agua, construya una tabla indicando: </span></p><p dir="ltr" style="line-height: 1.2899999999999998; margin-bottom: 0pt; margin-left: 38.3pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Estrato, Consumo en m</span><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">3</span></span><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> en los dos meses; cargo fijo valor total; subtotal de alcantarillado valor total; total agua + alcantarillado; consumo mes; consumo día. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 38.3pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 38.3pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Realizar un diagrama de barras de últimos 4 consumos de los meses respectivos y el valor promedio de esos 4 meses. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 38.3pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ol start="3" style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; margin-left: 3.25pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: transparent; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Si en una prensa hidraúlica el émbolo más chico tiene un diámetro de 3 cm y el émbolo más grande es de 40 cm de diámetro. ¿Qué fuerza resulta en el embolo grande, cuando el pequeño se aplica una fuerza de 180 N? </span></p></li></ol><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 38.3pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ol start="4" style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; margin-left: 3.25pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.295; margin-bottom: 82.2pt; margin-top: 0pt;"><span style="background-color: transparent; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En qué posición cree que el ladrillo ejerce mayor presión sobre el suelo. </span><span style="border: none; display: inline-block; height: 126px; overflow: hidden; width: 245px;"><img height="126" src="https://lh5.googleusercontent.com/E7R9mna8wyn-N_-QHL1mJ6kKCgzzB0vF5q0OjXwmt8aO003Vf3QZhq7ge9GELI81WaaXTTL_8II9JaZANkg5bJOo_k5H0APFQV4Mxuhu_qteiNgNSdOy8zcHSwzjlEpuDpgZnmckyokUCh05Hw" style="margin-left: 0px; margin-top: 0px;" width="245" /></span></p></li></ol><p dir="ltr" style="line-height: 1.08; margin-bottom: 1.4pt; margin-right: 269.2pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ol style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: transparent; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Dar argumentos en cada caso. </span></p></li><li aria-level="1" dir="ltr" style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: transparent; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Teniendo en cuenta que el bloque tiene por dimensiones: largo: 25 cm, ancho 18 cm y alto: 10 cm; halle la presión de cada una de las caras del bloque cuando se encuentre apoyada en cada una de ellas. </span></p></li></ol><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-left: 36pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.1199999999999999; margin-bottom: 0pt; margin-left: 21.25pt; margin-top: 0pt; padding: 0pt 0pt 0pt 18pt; text-indent: -18pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">5. La evaluación del tema se lleva a cabo mediante un cuestionario de Microsoft Forms: Desarrollan el cuestionario directamente en la plataforma Teams en la clase correspondiente. </span><span style="background-color: transparent; font-family: "Quattrocento Sans", sans-serif; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: sub;"> </span></span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p></td></tr></tbody></table></div><p dir="ltr" style="line-height: 1.295; margin-bottom: 0.7pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><h2 dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 7.35pt; margin-top: 0pt; text-align: center;"><span style="background-color: lightgrey; font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">TECNOLOGIA E INFORMATICA</span><span style="font-family: Arial; font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></h2><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-right: 0.1pt; margin-top: 0pt; text-align: center;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Objetivo: Identificar las opciones básicas de Word y la normas para la elaboración de escritos de acuerdo con temáticas relacionadas con agua limpia y saneamiento </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Microsoft Word: es un programa informático orientado al procesamiento de textos. Fue creado por la empresa Microsoft, y viene integrado de manera predeterminada en el paquete ofimático denominado Microsoft Office. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">¿A qué se refiere con el procesamiento de texto?, quiere decir que podemos construir un escrito y modificarlo cuantas veces queramos, cambiando desde el tipo de letra, hasta el color de la hoja, entre muchas más cosas. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: -18pt; padding-left: 0.5pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Tipo de letra o fuente: Un tipo de letra es un conjunto de caracteres del mismo diseño. Estos caracteres incluyen letras, números, signos de puntuación y símbolos. Algunos tipos de letra populares incluyen Arial, Helvética, Times y Verdana. Si bien la mayoría de las computadoras vienen con una docena de tipos de letra instalados, hay miles de tipos de letra disponibles. </span></p></li><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: -18pt; padding-left: 0.5pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Negrilla: En tipografía, la negrita o negrilla 1 es un estilo tipográfico en el que los caracteres tienen un trazo más grueso (en comparación con los caracteres de tipografía redonda normal del mismo tamaño). Es empleada principalmente para que sobresalga o se enfatice una parte del texto </span></p></li><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: -18pt; padding-left: 0.5pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La alineación de texto: se usa para acomodar las palabras y los párrafos de acuerdo con un orden lógico. De esta manera se logra que la redacción presente un aspecto prolijo y sea agradable a la lectura. </span></p></li></ul><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Los tipos de alineación que puedes usar en un texto de Word son los siguientes: </span></p><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: -18pt; padding-left: 0.5pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Izquierda: Se puede alinear todo el contenido al margen izquierdo de la hoja de esta manera facilita la lectura del documento. </span></p></li><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: -18pt; padding-left: 0.5pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Centrado: Utiliza ambos márgenes de la hoja y centra todo el párrafo o texto de acuerdo con el espacio usado. De esta manera podrás ver que el centro de la hoja será el eje de simetría. </span></p></li><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: -18pt; padding-left: 0.5pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Derecha: Es igual a la primera alineación que hemos nombrado, pero se justifica para la derecha. A este tipo de justificación lo podrás usar para secciones pequeñas de contenido, por ejemplo, cuando necesites hacer un encabezado o pie de página. </span></p></li><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: -18pt; padding-left: 0.5pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Homogénea o Justificada: La alineación que utilizarás con este tipo de justificación es simétrica tanto para el margen izquierdo como derecho. Con esto podrás encontrar un texto prolijo de ambos lados, siendo muy útil para usar en redacciones para diarios o revistas en donde se necesite respetar columnas. </span></p></li><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: -18pt; padding-left: 0.5pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Numeración y viñetas: La función Numeración y Viñetas en Word es muy útil, pues nos ayuda a crear listas de una manera muy rápida y fácil. También para identificar y puntualizar ideas o comentarios que deseamos estructurar. </span></p></li></ul><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: -18pt; padding-left: 0.5pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Normas APA: Las </span><span style="color: #777777; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">normas APA </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">tienen su origen en el año 1929, cuando un grupo de psicólogos, antropólogos y administradores de negocios acordaron establecer un conjunto de estándares o reglas que ayudan a la hora de codificar varios componentes de la escritura científica con el fin de facilitar la comprensión de la lectura. </span></p></li></ul><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> ¿Qué es el cuidado del agua? </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Cuando hablamos del cuidado del agua, nos referimos al uso racional del agua. Esto implica velar por la protección de las fuentes de agua limpia y consumible en nuestro planeta, procurando no contaminarla, no malbaratarla y así preservar este líquido vital no sólo para nuestra especie, sino para la vida entera en el planeta Tierra. </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.25; margin-bottom: 0.25pt; margin-left: -0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">A continuación, encontrara el enlace de la información completa acerca del cuidado del agua para responder los siguientes puntos </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="color: blue; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">Cuidado del Agua - Concepto, datos estadísticos y consejos</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><ol style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Realizar un resumen de la información registrada en el anterior enlace </span></p></li><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">De acuerdo con el tema del cuidado del agua: ¿Cuáles acciones realiza usted para cuidar el agua? </span></p></li><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Enumere las recomendaciones para un buen manejo del agua </span></p></li><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Para realizar los anteriores puntos debe utilizar las siguientes opciones en Word: </span></p></li></ol><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Tipo de letra: Times New Roman </span></p></li><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Tamaño de letra: títulos y subtítulos: 14, texto: 12 </span></p></li><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Dar color a los títulos, diferente al texto </span></p></li><li aria-level="1" dir="ltr" style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.25; margin-bottom: 0.25pt; margin-right: 2.05pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Tomar fotografías suyas aplicando las recomendaciones para el buen manejo del agua </span></p></li></ul><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: "Quattrocento Sans", sans-serif; font-size: 9pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0.1pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: "Quattrocento Sans", sans-serif; font-size: 9pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0.1pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-family: "Quattrocento Sans", sans-serif; font-size: 9pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 8.15pt; margin-top: 0pt;"><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.295; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><div><span style="font-family: Calibri, sans-serif; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><br /></span></div></span></div>Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-55293959567704790072021-02-15T10:27:00.000-08:002021-02-15T10:29:00.906-08:00GUÍA 1 PERIODO 1 GRADO NOVENO - AREAS INTEGRADAS MATEMÁTICAS, CIENCIAS NATURALES Y TECNOLOGIA<p> </p><p style="text-align: center;"><span style="color: #cc0000; font-size: large;"><b>HOLA ESTUDIANTES DE GRADO NOVENO ESTA ES LA GUÍA 1 DEL PERIODO 1</b></span></p><span id="docs-internal-guid-4ae6aa45-7fff-748d-22d4-53f836539da8"><div align="left" dir="ltr" style="margin-left: 7pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="105"></col><col width="399"></col><col width="155"></col></colgroup><tbody><tr style="height: 74.75pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; vertical-align: top;"><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 8pt; margin-left: 9.25pt; margin-top: 0pt;"><span style="font-size: 9pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 75px; overflow: hidden; width: 72px;"><img height="75" src="https://lh3.googleusercontent.com/HAKADD6fvtK5drMZ7VFPPueyCPjnGjKQ736ms7bkHKESMITU2lzFY42K_2chMxK0-qtLxRqS8l4ryY8zcJkKhLMDJPd_YZ2_oO8-6UPwdImMgAb-jI1hHXrSrxnplHRSLl47Yfw" style="margin-left: 0px; margin-top: 0px;" width="72" /></span></span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; vertical-align: top;"><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 8pt; margin-left: 79.4pt; margin-top: 0pt;"><span style="color: #073762; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">IED NUEVA COLOMBIA</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; vertical-align: top;"><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 8pt; margin-left: 10pt; margin-top: 0pt;"><span style="font-size: 9pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 70px; overflow: hidden; width: 95px;"><img height="70" src="https://lh5.googleusercontent.com/dvJLpexQFOmUVUwpn2sVGspWMZSTNMQR9oU3czkTpg93yGw9wS2zBAAM-b2VnwXu1L5Vf1jZ2o6nywQEQxesj9vSpKHfJkgUmjOgX6MmPERECOBwJfL9UZgFRBlkyTT0p0vg2SY" style="margin-left: 0px; margin-top: 0px;" width="95" /></span></span></p></td></tr><tr style="height: 51.5pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; vertical-align: top;"><p dir="ltr" style="line-height: 1.21; margin-bottom: 8pt; margin-left: 14.899999999999999pt; margin-right: 16.4pt; margin-top: 4.4pt; padding: 0pt 0pt 0pt 2.25pt; text-align: justify; text-indent: -2.25pt;"><span style="color: #073762; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Grado 9º Jornada Mañana</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; vertical-align: top;"><p dir="ltr" style="line-height: 1.21; margin-bottom: 8pt; margin-left: 61.400000000000006pt; margin-right: 46.5pt; margin-top: 4.4pt; padding: 0pt 0pt 0pt 51pt; text-indent: -51pt;"><span style="color: #073762; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Áreas / Asignaturas: </span><span style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Matemáticas Tecnología e Informática Biología - Física - Química</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; vertical-align: top;"><p dir="ltr" style="line-height: 1.2349999999999999; margin-bottom: 8pt; margin-left: 17.15pt; margin-right: 18.1pt; margin-top: 4.4pt; text-indent: 20.25pt;"><span style="color: #073762; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Guía: 1 Primer periodo</span></p></td></tr><tr style="height: 86pt;"><td colspan="3" style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 8pt; margin-left: 128.15pt; margin-top: 5.35pt;"><span style="color: #073762; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Contacto: Correo electrónico y blog o página web.</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 6.75pt; margin-top: 0pt;"><span style="font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Liliana Lancheros:</span><a href="mailto:sllancheros@educacionbogota.edu.co" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">sllancheros@educacionbogota.edu.co</span></a><span style="font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">; entrega de trabajos en el formulario respectivo</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 6.75pt; margin-top: 0pt;"><span style="font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Diana Galindo: </span><a href="mailto:dianaagalindor@gmail.com" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">dianaagalindor@gmail.com</span></a><span style="font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">; entrega de trabajos en el formulario respectivo</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 6.75pt; margin-top: 0pt;"><span style="font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Hector Rodriguez: </span><a href="mailto:hrmatematicas5@gmail.com" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">hrmatematicas5@gmail.com</span></a><span style="font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">; entrega de trabajos en el formulario respectivo</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 6.75pt; margin-top: 0pt;"><span style="font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Claudia Vázquez: </span><a href="mailto:docenteclaudiav@gmail.com" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">docenteclaudiav@gmail.com</span></a></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 6.75pt; margin-top: 0pt;"><span style="font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Gloria Casallas: </span><a href="mailto:gmcasallas@educacionbogota.edu.co" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">gmcasallas@educacionbogota.edu.co</span></a><span style="font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> ; entrega de trabajos plataforma Teams. </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 6.75pt; margin-top: 0pt;"><span style="font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Sonia Insausti: </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 6.75pt; margin-top: 0.1pt;"><span style="font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Miriam Casallas: </span><a href="mailto:mccasallas@educacionbogota.edu.co" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">mccasallas@educacionbogota.edu.co</span></a><span style="font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">; entrega de trabajos plataforma Teams</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 6.75pt; margin-top: 0.1pt;"><span style="font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Luz Marina Casas:</span><a href="mailto:lumacasas11@gamil.com" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">lumacasas11@gmail.com</span></a><span style="font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">; entrega de trabajos en el formulario respectivo</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 6.75pt; margin-top: 0.1pt;"><span style="font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Javier Mojica: </span><a href="mailto:amojica@educcionbogota.edu.co" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">amojica@educacionbogota.edu.co</span></a><span style="font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">; entrega de trabajos en el formulario respectivo</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 8pt; margin-left: 6.75pt; margin-top: 0pt;"><span style="font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">David Osorio: </span><a href="mailto:dosoriov@educacionbogota.edu.co" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">dosoriov@educacionbogota.edu.co</span></a><span style="font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> entrega de trabajos por plataforma Teams Jully Sánchez:</span><a href="mailto:jsancheza@educacionbogota.edu.co" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">jsancheza@educacionbogota.edu.co</span></a><span style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><a href="http://grado7-jullysanchez.webnode.com.co/" style="text-decoration-line: none;"><span style="color: #1154cc; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">grado7-jullysanchez.webnode.com.co</span></a></p></td></tr></tbody></table></div><br /><h2 dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-right: 1.9370078740158192pt; margin-top: 4.5pt; text-align: justify;"><span style="color: #073762; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">COMPETENCIA</span></h2><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-right: 1.9370078740158192pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El estudiante está en capacidad de plantear argumentos, utilizar modelos algebraicos y variacionales; elaborar predicciones teniendo en cuenta la taxonomía de los seres vivos, los fenómenos naturales y los avances tecnológicos, para dar alternativas de solución a problemáticas ambientales, utilizando herramientas tecnológicas, que permitan un mejoramiento en la calidad de vida.</span></p><br /><span style="border: none; display: inline-block; height: 181px; overflow: hidden; width: 185px;"><img height="181" src="https://lh4.googleusercontent.com/6AyZuKVaY3VH6ds09X9jQ-8iUaPqiYCFKRjuj0e5CeGWA_qxWvKneVvPJKT9g-6EWghhYWm368Mosy61OX4qKj2IGreOyo0NKfgqeD7VUr1Dm_ww9KKC4j1Ykt9j6w" style="margin-left: 0px; margin-top: 0px;" width="185" /></span><br /><h2 dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-right: 1.9370078740158192pt; margin-top: 0.05pt; text-align: justify;"><span style="color: #073762; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">PREGUNTA PROBLÉMICA</span></h2><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-right: 1.9370078740158192pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">¿Cómo mis acciones cotidianas permiten la conservación de la vida?</span></p><br /><h2 dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-right: 1.9370078740158192pt; margin-top: 9pt; text-align: justify;"><span style="color: #073762; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">OBJETIVO DE DESARROLLO SOSTENIBLE</span></h2><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-right: 1.9370078740158192pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Acción por el clima; adoptar medidas urgentes para combatir el cambio climático y sus efectos.</span></p><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="background-color: #073763; color: white; font-size: 15pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">INSTRUCCIONES</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 7.0866141732283445pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Queridos estudiantes, </span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Para que los docentes realicen, la calificación de la guía, deben </span><span style="background-color: cyan; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">ingresar a los siguientes formularios:</span></p><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt;"><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">MATEMÁTICAS:</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt;"><a href="https://docs.google.com/forms/d/e/1FAIpQLSeQZdz78VJBgzfZK8hpCpe6oj11zolQmiWRQmBjCZAGTmMAjw/viewform?usp=sf_link" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">https://docs.google.com/forms/d/e/1FAIpQLSeQZdz78VJBgzfZK8hpCpe6oj11zolQmiWRQmBjCZAGTmMAjw/viewform?usp=sf_link</span></a></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt;"><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">TECNOLOGÍA E INFORMÁTICA:</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt;"><a href="https://forms.gle/XS1Rm8rriW1M5BJJ8" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">https://forms.gle/XS1Rm8rriW1M5BJJ8</span></a></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt;"><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">BIOLOGÍA: </span><a href="https://forms.office.com/Pages/ResponsePage.aspx?id=LJ7IUckKJECA8TqGSmlLFTLiFjENAT1Dscs-l1C5WodURDRIWDQ5Qkk2R0hXMzNLSzc4MDFJRlRSMi4u" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">https://forms.office.com/Pages/ResponsePage.aspx?id=LJ7IUckKJECA8TqGSmlLFTLiFjENAT1Dscs-l1C5WodURDRIWDQ5Qkk2R0hXMzNLSzc4MDFJRlRSMi4u</span></a><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt;"><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">FÍSICA:</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt;"><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">QUÍMICA: </span><a href="https://forms.gle/uBMx1JRVUH6wqiCy7" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">https://forms.gle/uBMx1JRVUH6wqiCy7</span></a></p><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">Recuerden que </span><span style="background-color: yellow; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">No es necesario imprimir</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">, ni enviar adjuntos por correo electrónico, si contestan en los formularios. </span></p><br /><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="color: #073763; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">LINEAMIENTOS GENERALES</span></p><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Teniendo en cuenta los principios orientadores del PEI del Colegio Nueva Colombia I.E.D en lo referente a línea de acción ecoturística; contando con la inclusión de la institución en colegios amigos del turismo y la descripción del PRAE en la siguiente introducción:</span></p><br /><img aria-roledescription="Dibujo" height="44" src="https://docs.google.com/drawings/u/0/d/sypwaTp9EN2rz4xJOHOx1PQ/image?w=30&h=44&rev=1&ac=1&parent=1ZxEzbzC0a6VR-bxEJdy9gZcRKu7UTXHh" style="border: none;" width="30" /><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Una de las funciones de nuestra institución al tener un enfoque de carácter ambiental, es el desarrollo de herramientas y competencias que les permitan a los estudiantes interactuar y decidir en forma sostenible, participando responsablemente en el cuidado y la protección de su entorno.</span></p><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Durante cada trimestre se tratará un objetivo de desarrollo sostenible, (planteados por la ONU); que será el eje transversal de las 3 áreas (Ciencias Naturales, Matemáticas y Tecnología).</span></p><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El trabajo de cada trimestre se organizará en 3 momentos evidenciados cada uno en una guía donde se desarrollarán los temas de ciencias, matemáticas y tecnología de manera interdisciplinar, es decir, en total son 3 guías en todo el periodo y un producto final que apunta a un objetivo que se definirá al inicio de cada trimestre de acuerdo con el grado. </span></p><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">También se realizarán los encuentros virtuales de cada asignatura, los cuales son muy importantes, ya que en estos espacios se resolverán dudas de las temáticas que los estudiantes han venido desarrollando en la guía y se apuntará a profundizar y aclarar de esta manera los temas vistos.</span></p><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Cada guía se diseña bajo un eje transversal y aborda los temas de las 3 áreas, es importante tener en cuenta que las notas de cada área van independientes y los estudiantes deben enviar la guía completa a cada uno de los profesores correspondientes de ciencias naturales, matemáticas y tecnología. </span></p><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El producto final se desarrollará durante todo el periodo y reemplazará a la prueba trimestral, deben tener en cuenta que este producto será evaluado por los docentes de las 3 áreas, y se promedian las notas para obtener una sola al final de dicho producto.</span></p><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En total las notas de cada periodo serán 5, que se distribuirán de la siguiente manera:</span></p><br /><br /><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">3 guías de trabajo </span></p></li></ul><br /><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Producto final asignado que reemplaza a la evaluación trimestral </span></p></li></ul><br /><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Autoevaluación </span></p></li></ul><br /><br /><br /><br /><br /><br /><br /><br /><br /><h2 dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt;"><span style="color: #073763; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">MATEMÁTICAS</span></h2><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Temas lenguaje algebraico operaciones con expresiones algebraicas, haciendo un repaso de todas y énfasis a la división que es el tema que se debe ver como aplicación está el perímetro y el área de figuras geométrica</span></p><p dir="ltr" style="background-color: white; line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"> </p><p dir="ltr" style="background-color: white; line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: transparent; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Puedes mirar todo el contenido en el siguiente link: </span><a href="https://sway.office.com/zJmtw7d6gtfHQtvH" style="text-decoration-line: none;"><span style="background-color: transparent; color: #1155cc; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">https://sway.office.com/zJmtw7d6gtfHQtvH</span></a></p><p dir="ltr" style="background-color: white; line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"> </p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; color: #212121; font-family: Arial; font-size: 11.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La división entre polinomios se realiza de manera similar a una división entre números naturales, primero se ordenan los polinomios de manera descendente ( dividendo y divisor), se escoge el primer término del dividendo y se divide entre el primer término del divisor, luego ese resultado se multiplica por los términos del divisor y se restan a los términos del dividendo, luego se baja el término siguiente y se continúa con el proceso</span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">1. Dividir el primer término del dividendo por el término de mayor grado del divisor. Poner el resultado arriba de la línea horizontal (</span><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2x</span><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">3 </span></span><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">/x</span><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> = 2x)</span></p><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 147px; overflow: hidden; width: 320px;"><img height="147" src="https://lh4.googleusercontent.com/wQHRZdvtn5dItLhys9cdGet-DfxaxRoyWsEgwKqIhy2OHCLb0GbbNpDBUQVFHYPMJnl_vADR3Zhe1ldNazDtnftfgf-wXERVV0IEjilECuLKv5WYDOdahsgDJWNmUA" style="margin-left: 0px; margin-top: 0px;" width="320" /></span></span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0.1pt;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2. Multiplicar el cociente por el divisor (el primer término del eventual cociente). </span></p><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0.1pt;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2x se debe multiplicar por los términos del divisor </span><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">x</span><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">+2x+1 </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0.1pt;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Escribir el resultado debajo de los primeros tres términos del dividendo cambiando el signo, es decir </span></p><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0.1pt;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2x . 1 = 2x se escribe -2x debajo de 3x</span></p><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0.1pt;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2x . 2x = </span><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">4x</span><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> se escribe -4x</span><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> se escribe debajo de -5x</span><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span></p><br /><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0.1pt;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Tener cuidado al realizar esta operación de colocar el signo que corresponda</span></p><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0.1pt;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 6pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;"> </span></span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0.1pt;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">3. Luego, "desplazar hacia abajo" el próximo término del dividendo</span></p><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0.1pt;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">4. Repetir los tres pasos previos, excepto que esta vez utilizar los dos términos que se acaban de escribir en el dividendo</span></p><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0.1pt;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">5. La división se termina cuando no hay nada para "desplazar hacia abajo".</span></p><br /><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0.1pt;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Guía 1 Período I Matemáticas</span></p><p dir="ltr" style="background-color: white; line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; padding: 0pt 0pt 23pt 0pt;"><span style="color: #445555; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La población humana crece según una progresión geométrica, por lo tanto cada vez es mayor la </span><a href="https://www.monografias.com/trabajos/ofertaydemanda/ofertaydemanda.shtml" style="text-decoration-line: none;"><span style="color: #008040; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">demanda</span></a><span style="color: #445555; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> de alimentos y también las necesidades básicas para la vida del hombre. Esto implica un aumento de materias primas y de energías, de productos finales y de desechos, entre los que hay a menudo muchas sustancias tóxicas. Este desarrollo ha provocado grandes alteraciones en la Tierra: regiones enteras en las zonas de los trópicos se han convertido en desiertos, han desaparecido especies de animales y vegetales para siempre, y otras están en peligro de extinción.</span></p><p dir="ltr" style="background-color: white; line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; padding: 0pt 0pt 23pt 0pt;"><span style="color: #445555; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El hombre utiliza las materias primas naturales como si fueran inagotables; los productos finales y los materiales de desecho son volcados a la tierra, a las aguas y recientemente también en el océano abierto, como si ellos pudieran asimilarlos sin sufrir ningún tipo de cambio y que hacen desaparecer paisajes naturales y culturales.</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 12pt; margin-top: 12pt;"><span style="background-color: white; color: #445555; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En las grandes ciudades, la </span><a href="https://www.monografias.com/trabajos10/contam/contam.shtml#atmo" style="text-decoration-line: none;"><span style="background-color: white; color: #008040; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">contaminación del aire</span></a><span style="background-color: white; color: #445555; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> se debe a consecuencia de los escapes de gases de los </span><a href="https://www.monografias.com/trabajos10/motore/motore.shtml" style="text-decoration-line: none;"><span style="background-color: white; color: #008040; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">motores</span></a><span style="background-color: white; color: #445555; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> de explosión, a los aparatos domésticos de la calefacción, a las </span><a href="https://www.monografias.com/trabajos5/induemp/induemp.shtml" style="text-decoration-line: none;"><span style="background-color: white; color: #008040; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">industrias</span></a><span style="background-color: white; color: #445555; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> -que es liberado en la atmósfera, ya sea como gases, vapores o partículas sólidas capaces de mantenerse en suspensión, con </span><a href="https://www.monografias.com/trabajos14/nuevmicro/nuevmicro.shtml" style="text-decoration-line: none;"><span style="background-color: white; color: #008040; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">valores</span></a><span style="background-color: white; color: #445555; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> superiores a los normales, perjudican la vida y la </span><a href="https://www.monografias.com/Salud/index.shtml" style="text-decoration-line: none;"><span style="background-color: white; color: #008040; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">salud</span></a><span style="background-color: white; color: #445555; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">, tanto del ser humano como de </span><a href="https://www.monografias.com/trabajos10/cani/cani.shtml" style="text-decoration-line: none;"><span style="background-color: white; color: #008040; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">animales</span></a><span style="background-color: white; color: #445555; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> y </span><a href="https://www.monografias.com/trabajos14/plantas/plantas.shtml" style="text-decoration-line: none;"><span style="background-color: white; color: #008040; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">plantas</span></a><span style="background-color: white; color: #445555; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">.</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 12pt; margin-top: 12pt;"><a href="https://www.monografias.com/trabajos10/contam/contam.shtml" style="text-decoration-line: none;"><span style="background-color: white; color: #008040; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La contaminación</span></a><span style="background-color: white; color: #445555; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> atmosférica proviene fundamentalmente de la </span><a href="https://www.monografias.com/trabajos30/contaminacion-industrial/contaminacion-industrial.shtml" style="text-decoration-line: none;"><span style="background-color: white; color: #008040; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">contaminación industrial</span></a><span style="background-color: white; color: #445555; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> por combustión, y las principales causas son la generación de </span><a href="https://www.monografias.com/trabajos10/nofu/nofu.shtml" style="text-decoration-line: none;"><span style="background-color: white; color: #008040; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">electricidad</span></a><span style="background-color: white; color: #445555; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> y el automóvil.</span></p><p dir="ltr" style="background-color: white; line-height: 1.38; margin-bottom: 0pt; margin-left: 51pt; margin-top: 12pt; padding: 0pt 0pt 12pt 18pt; text-indent: -18pt;"><span style="color: #445555; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">·</span><span style="color: #445555; font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="color: #445555; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Usar y desperdiciar menos electricidad.</span></p><p dir="ltr" style="background-color: white; line-height: 1.38; margin-bottom: 12pt; margin-left: 51pt; margin-top: 0pt; padding: 0pt 0pt 0pt 18pt; text-indent: -18pt;"><span style="color: #445555; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">·</span><span style="color: #445555; font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="color: #445555; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">No arrojar artículos de </span><a href="https://www.monografias.com/trabajos5/plasti/plasti.shtml" style="text-decoration-line: none;"><span style="color: #008040; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">plástico</span></a><span style="color: #445555; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> y basura a las fuentes hídricas</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 12pt; margin-top: 12pt;"><span style="background-color: white; color: #445555; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 12pt; margin-top: 12pt;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Representa las siguientes frases en términos algebraicos</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 12pt; margin-top: 12pt;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">x puede ser la variable a utilizar</span></p><ol style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 12pt;"><span style="background-color: white; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Una quinta parte del consumo global de energía en 2013 provino de fuentes renovables.</span></p></li><li aria-level="1" dir="ltr" style="color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Solo el 3% del agua del mundo es potable y los humanos la consumen más rápido de lo que la naturaleza demora en reponerla.</span></p></li><li aria-level="1" dir="ltr" style="color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Represente la expresión ( x total, y gasto): Si todas las personas utilizaran bombillas de bajo consumo, el mundo ahorraría US$ 120 mil millones anuales.</span></p></li><li aria-level="1" dir="ltr" style="color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 12pt; margin-top: 0pt;"><span style="background-color: white; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">a. Haz las operaciones que se indican y reduce términos semejantes</span></p></li></ol><p dir="ltr" style="background-color: white; line-height: 1.38; margin-bottom: 0pt; margin-top: 12pt;"><span style="color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 3x-2x-(4x-7x+4xy) – 8yx – (5xy + 3y)</span></p><p dir="ltr" style="background-color: white; line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; padding: 12pt 0pt 0pt 0pt;"><span style="color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">4b.Multiplica y reduce los términos semejantes.</span><span style="color: #202122; font-family: Arial; font-size: 10.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">5xyz3 • 4xy •10z3 •(-2xy)=</span><span style="color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span></p><p dir="ltr" style="background-color: white; line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; padding: 12pt 0pt 12pt 0pt;"><span style="color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">4c.Divide estas expresiones</span></p><p dir="ltr" style="background-color: white; line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">(8x</span><span style="color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">4</span></span><span style="color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">+6x</span><span style="color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">)÷2x</span><span style="color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">= </span></p><p dir="ltr" style="background-color: white; line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; padding: 12pt 0pt 12pt 0pt;"><span style="color: #445555; font-family: Georgia; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">4d </span><span style="color: #445555; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">4x</span><span style="color: #445555; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="color: #445555; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> – 8x – 2 / 2x -1</span></p><p dir="ltr" style="background-color: white; line-height: 1.38; margin-bottom: 12pt; margin-top: 0pt;"><span style="color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">4e 2x</span><span style="color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span><span style="color: #202122; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> + 4x + 2 / 2x+1</span></p><br /><br /><h2 dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt;"><span style="color: #073763; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">CIENCIAS NATURALES BIOLOGÍA</span></h2><p dir="ltr" style="line-height: 2.085; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-right: 401.4pt; margin-top: 10.2pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Breve explicación del tema Ejemplos</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Vídeos de apoyo</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ejercitación y problemas específicos</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: center;"><span style="font-size: 16pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">¿CÓMO SE ORIGINÓ TODO LO QUE CONOCEMOS</span><span style="font-size: 14pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">? </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El sol envejece día a día, unas estrellas nacen mientras otras mueren y las galaxias se alejan entre sí cada vez más. Todo tiene un origen ¿cómo se originó el Universo? La mayor parte de los científicos actuales creen que la estructura del Universo se originó en un violento suceso que tuvo lugar hace unos 15 mil millones de años en un acontecimiento cósmico al que llamaron la Gran Explosión o en inglés el “Big bang”. Esto ocurrió porque todo lo que existe en el universo estaba concentrado en un punto con una gran cantidad de energía a una altísima temperatura. Esta gran explosión permitió que millones de partículas salieran disparadas y se alejaran por el espacio. Este fue el inicio del universo. Con el tiempo y gracias a la gravedad, las partículas se fueron uniendo y formando los grandes cuerpos celestes que se encuentran en el universo como las galaxias, estrellas, planetas, satélites y asteroides. </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 268px; overflow: hidden; width: 665px;"><img height="268" src="https://lh5.googleusercontent.com/Z7tzsoY0c3yiBaAz3_LvaJXD1cwxFCoar6DAVTwwZRcmRvcDsmsdeoXbiwcYJMAhjXsL1oa-UybzHaoEv_rVMGN8LMgF2VAFU0s813wG8aZbBJOszUGVbnqPydFQsg" style="margin-left: 0px; margin-top: 0px;" width="665" /></span></span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Carl Sagan, el conocido astrónomo de la Universidad de Cornell, en su libro Los Dragones del Edén ha incluido lo que él llama "El Calendario Cósmico", que elaboró en un esfuerzo por hacer comprender la velocidad relativa con que se sucedieron las diversas etapas desde que se formó el Universo. En este calendario cósmico se intenta explicar como ha sido el tiempo dle universo; supongamos que pudiéramos comprimir los quince mil millones de años que han transcurrido desde la Gran Explosión hasta nuestros días en un sólo año.</span></p><p dir="ltr" style="background-color: white; line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt; padding: 10.2pt 0pt 0pt 0pt; text-align: justify;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Los eventos de este calendario incluyen:</span></p><p dir="ltr" style="background-color: white; line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt; padding: 10.2pt 0pt 0pt 0pt; text-align: justify;"> </p><div align="left" dir="ltr" style="margin-left: 0pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="209"></col><col width="465"></col></colgroup><tbody><tr style="height: 28pt;"><td style="background-color: white; border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 10.2pt; text-align: justify;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Enero 1</span></p></td><td style="background-color: white; border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Gran Explosión.</span></p></td></tr><tr style="height: 28pt;"><td style="background-color: white; border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Mayo 1</span></p></td><td style="background-color: white; border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Origen de la vía Láctea.</span></p></td></tr><tr style="height: 28pt;"><td style="background-color: white; border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Septiembre 9</span></p></td><td style="background-color: white; border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Origen del sistema solar.</span></p></td></tr><tr style="height: 28pt;"><td style="background-color: white; border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Septiembre 14</span></p></td><td style="background-color: white; border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Formación de la Tierra.</span></p></td></tr><tr style="height: 28pt;"><td style="background-color: white; border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Septiembre 25</span></p></td><td style="background-color: white; border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Origen de la vida en la Tierra.</span></p></td></tr><tr style="height: 28pt;"><td style="background-color: white; border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Octubre 2</span></p></td><td style="background-color: white; border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Formación de las rocas más viejas conocidas.</span></p></td></tr><tr style="height: 41.5pt;"><td style="background-color: white; border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Noviembre 15</span></p></td><td style="background-color: white; border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Florecimiento de Eucariota (Primeras células con núcleo)</span></p></td></tr></tbody></table></div><p dir="ltr" style="background-color: white; line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Los eventos que incluyen al humano aparecen hasta el último día de diciembre, </span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">31 Diciembre</span><span style="font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">:</span></p><div align="left" dir="ltr" style="margin-left: 0pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="104"></col><col width="572"></col></colgroup><tbody><tr style="height: 27pt;"><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">1:30 PM</span></p></td><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Origen del Procónsul y Ramapitecus, posibles ancestros del mono y hombre.</span></p></td></tr><tr style="height: 22.5pt;"><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">10:30 PM</span></p></td><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Primeros Humanos.</span></p></td></tr><tr style="height: 21pt;"><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">11:00 PM</span></p></td><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Uso de herramientas de piedra.</span></p></td></tr><tr style="height: 24.75pt;"><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">11:46 PM</span></p></td><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Uso del Fuego.</span></p></td></tr><tr style="height: 21pt;"><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">11:59 PM</span></p></td><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Invención de la Agricultura. Neolítico </span></p></td></tr><tr style="height: 21pt;"><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">11:59:50 PM</span></p></td><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Primeras dinastías, Sumeria, Egipcia.</span></p></td></tr><tr style="height: 21pt;"><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">11:59:53 PM</span></p></td><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Era de Bronce, Cultura Olmeca, invención de la brújula.</span></p></td></tr><tr style="height: 46.24037642045455pt;"><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">11:59:56 PM</span></p></td><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Metalurgia. Nacimiento de la geometría Euclidiana, física de Arquímedes, astronomía Ptolomeica, Imperio Romano, Nacimiento de Cristo.</span></p></td></tr><tr style="height: 16.5pt;"><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">11:59:58 PM</span></p></td><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Civilización Maya</span></p></td></tr><tr style="height: 46.24037642045455pt;"><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">11:59:59 PM</span></p></td><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Implementación de los métodos experimentales en la ciencia. Amplio desarrollo de la ciencia y tecnología, emergencia de una cultura global, adquisición de medios para auto destrucción de la especie humana, primeros pasos en exploración espacial .</span></p></td></tr><tr style="height: 33.447070312499996pt;"><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Primer segundo del año nuevo:</span></p></td><td style="border-bottom: solid #808080 0.75pt; border-left: solid #808080 0.75pt; border-right: solid #808080 0.75pt; border-top: solid #808080 0.75pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Arial; font-size: 10pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Eventos actuales</span></p></td></tr></tbody></table></div><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ahora que sabes del origen del universo, tal vez te plantees la pregunta ¿Y la vida como se originó? Para ellos los científicos han intentado buscar el primer ser vivo que se ha encontrado en la tierra y le pusieron el nombre de LUCA, por sus siglas en inglés </span><span style="background-color: white; color: #202122; font-family: Arial; font-size: 10.5pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">last universal common ancestor, </span><span style="background-color: white; color: #202122; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">en español ‘último antepasado común universal’. Los últimos estudios han comprobado que los seres más antiguos que existen en el planeta tierra son unos procariotas llamados estromatolitos hallados en Groenlandia, que estuvieron presentes hace 3.700 millones de años y quedaron sus fósiles en rocas marinas. A partir de este microscópico ser, ocurrieron mutaciones que permitieron que la vida se fuera diversificando, evolucionara y que originara a todos los seres vivos presentes en la actualidad.</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Para poder estudiar el tiempo en que ocurrieron los cambios en el planeta, cientos de científicos han hecho diversos estudios y le han dado diferentes nombres específicos a los momentos de cambio del planeta tierra y de la vida. Que se resumen en la siguiente tabla. </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 524px; overflow: hidden; width: 564px;"><img height="524" src="https://lh6.googleusercontent.com/yeD47qDKiD-iTrMkj7qrmlCQonOGRIZWmHLYfD3QQWkXo4xJ0Mi19PBqWqCxgLUynYgZHZrgHYHTmoqFmTyjn0ktd_-IeD6-tZ1FdqrUGbdfHpXPgkF1JI0qYCXw-A" style="margin-left: 0px; margin-top: 0px;" width="564" /></span></span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Por ejemplo durante el triásico y el jurásico, los dinosaurios dominaban la tierra, hasta que llegó el meteorito del que tal vez has escuchado hablar, que produjo un cambio en las condiciones del planeta, causando la muerte de miles de dinosaurios y otros seres vivos. Esa extinción masiva o desaparición de muchas especies trae grandes cambios sobre los demás seres vivos algunas favorables y otras no. Por ejemplo, al desaparecer los grandes dinosaurios, permite que seres vivos mas pequeños puedan empezar a poblar la tierra como los mamíferos y con ellos evolucionen los primates y luego los seres humanos. </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Las extinciones masivas han ocurrido 5 veces en la naturaleza. Por fenómenos naturales, como explosiones de volcanes, cambios en la atmosfera, terremotos, grandes inundaciones han desaparecido muchas especies en la tierra. Hoy en día nos encontramos nuevamente en una extinción masiva que no es causada por un fenómeno natural, sino por las acciones de los seres humanos. Sabías que, el rinoceronte negro fue cazado hasta su extinción solo por que los humanos creian que sus cuernos tenóian poderes curativos; ya no existe el rinoceronte negro y tal vez solo lo podamos ver por google. </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Pero no solo cazar animales, conduce a la extinción de una especie. El cambio climático, la deforestación, el exceso de plásticos en el océano, la pérdida de ecosistemas y muchos otros factores hacen que una especie desaparezca casi a diario. </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; color: #202122; font-family: Arial; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Has pensado si las pequeñas acciones que a diario realizamos, son benéficas para el planeta tierra o por el contrario ¿actuamos de manera egoísta que contribuímos a que muchas especies desaparezcan? No solo es pensar en que mundo le dejaremos a las generaciones humanas veníderas, tambien debemos replantearnos en que planeta le dejaremos a todas las especies ...</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">EJERCICIOS:</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><a href="https://forms.office.com/Pages/ResponsePage.aspx?id=LJ7IUckKJECA8TqGSmlLFTLiFjENAT1Dscs-l1C5WodURDRIWDQ5Qkk2R0hXMzNLSzc4MDFJRlRSMi4u" style="text-decoration-line: none;"><span style="background-color: white; color: #1155cc; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">https://forms.office.com/Pages/ResponsePage.aspx?id=LJ7IUckKJECA8TqGSmlLFTLiFjENAT1Dscs-l1C5WodURDRIWDQ5Qkk2R0hXMzNLSzc4MDFJRlRSMi4u</span></a></p><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">¿En que consiste la teoría del big bang?</span></p><ol style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Con esta teoría se dice que los seres humanos evolucionaron a través de los simios, fueron perdiendo pelo y llegaron a ser como hoy en día nos vemos. </span></p></li><li aria-level="1" dir="ltr" style="font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Propone que al inicio todas las cosas se encontraban en un estado originario de altísima densidad y temperatura, concentrado en un punto mínimo. Sus enormes fuerzas interiores provocaron una gigantesca explosión que dio origen al universo, al tiempo y al espacio. </span></p></li><li aria-level="1" dir="ltr" style="font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Esta teoría planteada por Darwin, sostiene que todos los seres vivos sufren cambios a través de la llamada selección natural y que por lo tanto han evolucionado a partir de un ancestro común</span></p></li><li aria-level="1" dir="ltr" style="font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Los planetas, las estrellas y todo lo que conocemos en el universo van chocando y creando nuevos cuerpos celestes como los satélites y meteoritos. </span></p></li></ol><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En tus propias palabras define quien o que es LUCA</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 10.2pt; text-align: justify;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 10.2pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Los científicos con ayuda de los fósiles se han dado cuenta que el planeta ha sufrido grandes cambios y con ellos los seres vivos. Algunos seres vivos ya están extintos, mientras que los que lograron sobrevivir han evolucionado y se mantienen con vida. Para poder explicar el tiempo que tiene el planeta tierra, se dividió en eras geológicas, en cada era diferentes tipos de seres vivos han dominado la tierra, por ejemplo los dinosaurios fueron los reyes durante el jurásico hace 150 millones de años.</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 10.2pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En el siguiente enlace puede ver la imagen ampliada </span><a href="https://co.pinterest.com/pin/573294227546528274/" style="text-decoration-line: none;"><span style="background-color: white; color: #1155cc; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">https://co.pinterest.com/pin/573294227546528274/</span></a><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 10.2pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Teniendo en cuenta la lectura, la gráfica y la tabla de la guía, relaciona en que periodo aparecieron estos seres vivos: </span></p><br /><div align="left" dir="ltr" style="margin-left: 0pt;"><table style="border-collapse: collapse; border: none; table-layout: fixed; width: 498.6141732283465pt;"><colgroup><col></col><col></col><col></col><col></col><col></col><col></col><col></col><col></col></colgroup><tbody><tr style="height: 37.01953125pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ordovícico</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Devónico</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Carbonífero</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Jurásico</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Cretácico</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Oligoceno</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Plioceno</span></p></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Dinosaurios</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Aves</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Anfibios</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Caballos</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Peces oseos</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Seres humanos</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Invertebrados</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr></tbody></table></div><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 10.2pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Lee el siguiente articulo </span><a href="https://www.ucr.ac.cr/noticias/2018/07/16/la-sexta-extincion-masiva-de-los-organismos-sera-provocada-por-el-ser-humano.html" style="text-decoration-line: none;"><span style="background-color: white; color: #1155cc; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">https://www.ucr.ac.cr/noticias/2018/07/16/la-sexta-extincion-masiva-de-los-organismos-sera-provocada-por-el-ser-humano.html</span></a></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 10.2pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En los ciclos de la vida es "normal" que las especies se extingan por algunos fenómenos naturales. Lo que no es normal es que los seres humanos aceleremos la extinción de los seres vivos como lo hacemos hoy en día. Sin embargo, como lo pudiste ver en el articulo y teniendo en cuenta la imagen, ya han ocurrido extinciones masivas que han desaparecido un gran porcentaje de las especies existentes.</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 10.2pt;"><span style="background-color: white; font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ordena poniendo de primeras la extinción masiva con mayor porcentaje de pérdida de especies a la de menor pérdida. </span></p><ol style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 10.2pt;"><span style="background-color: white; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Pérmico</span></p></li><li aria-level="1" dir="ltr" style="font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ordovícico</span></p></li><li aria-level="1" dir="ltr" style="font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Triásico</span></p></li><li aria-level="1" dir="ltr" style="font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Cretáceo</span></p></li><li aria-level="1" dir="ltr" style="font-family: Georgia; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="background-color: white; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Devónico</span></p></li></ol><br /><br /><h2 dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt;"><span style="color: #073763; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">CIENCIAS NATURALES FÍSICA</span></h2><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 10.2pt;"><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La guia fue enviada al correo porque al pegarla en este drive se desconfigura</span></p><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><h2 dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt;"><span style="color: #073763; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">CIENCIAS NATURALES QUÍMICA</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></h2><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 72pt; margin-top: 0pt;"><span style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> “</span><span style="font-size: 12pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Sé el cambio que quieras ver en el mundo</span><span style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">”. </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 108pt; margin-top: 0pt; text-indent: 36pt;"><span style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Mahatma Gandhi </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">“</span><span style="font-size: 12pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Antes de arreglar el mundo, da tres vueltas por tu propia casa</span><span style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">”. </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 216pt; margin-top: 0pt;"><span style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Proverbio chino</span></p><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El mundo atraviesa por grandes cambios en el sistema climático, debido a las emisiones de gases de efecto invernadero y el calentamiento global. Es necesario que la humanidad tome conciencia de lo que está sucediendo y actúe en consecuencia.</span></p><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Para mitigar el cambio climático, se llevan a cabo investigaciones a nivel mundial, que dan pautas a la humanidad acerca de como actuar y de esta manera preservar la vida de las diferentes especies. </span></p><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">A partir del uso del método científico, podemos investigar y proponer soluciones; teniendo en cuenta las normas de bioseguridad en el laboratorio de química. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 352px; overflow: hidden; width: 316px;"><img height="352" src="https://lh5.googleusercontent.com/mRTxEN5povOXuwb8LNNGPA39sLCecidqCYmQe0nFP2gMJqTq_Byw1VevGOvBBulGZLes6rbax67DhE3-vHUz3eHyWURsJ7vllQDSYikaZKorf9Jteje0DBBGCeur8A" style="margin-left: 0px; margin-top: 0px;" width="316" /></span></span></p><br /><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 7.0866141732283445pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">A continuación encontramos las normas generales:</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><br /><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Utilizar una bata de mangas largas y hasta la rodilla, siempre bien abrochada, para protección de la ropa y la piel; evitar el uso de accesorios (aretes, pulseras, collares), guardar las prendas de abrigo y los objetos personales. No llevar bufandas, pañuelos largos, ni prendas u objetos que dificulten la movilidad. Por seguridad, recoger el cabello si este es largo.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">No se debe comer, ni beber, ya que los alimentos o bebidas pueden contaminarse. Por razones legales, higiénicas y principalmente por seguridad, está prohibido fumar en el laboratorio. Evitar maquillarse cuando se está en el laboratorio. Se debe realizar lavado cuidadoso de brazos, manos y uñas, con agua y jabón, después de cualquier manipulación de laboratorio y antes de retirarse del mismo. Si hay alguna herida, se recomienda cubrirla.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Mantener el orden y la limpieza para evitar accidentes, sobre el mesón del laboratorio sólo deben ubicarse los libros y cuadernos estrictamente necesarios, se deben limpiar inmediatamente las superficies que presenten derrames de productos químicos, el material y aparatos después de su uso en cada práctica.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La norma esencial en el laboratorio es el cuidado de sí mismo y la auto responsabilidad, mantener informado al profesor de cualquier hecho que ocurra, aclarar con el profesor cualquier tipo de duda, mantenerse en silencio y estar concentrados en el trabajo que están realizando, trabajar sin prisa, pensando cada momento en lo que se está haciendo, evitar las bromas en el laboratorio, correr, jugar, empujar puede causar accidentes, en el laboratorio no se deben realizar trabajos diferentes a los autorizados por el docente responsable. </span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Utilizar el equipo de protección personal en forma correcta, no se deben usar lentes de contacto durante las prácticas en el laboratorio porque en caso de salpicadura en el ojo la lesión se puede agravar, evitar entrar al almacén de productos químicos sin autorización, permanecer de pie en el laboratorio, al estar sentado se corre riesgo por derramamiento de sustancias. </span></p></li></ul><br /><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Antes de comenzar una práctica se debe conocer y entender los procesos que vas a realizar, abstenerse de utilizar o limpiar frascos de reactivos que hayan perdido su etiqueta, sin autorización del docente encargado, no se debe sustituir una sustancia química por otra en un experimento, evitar el uso de equipo sin haber recibido entrenamiento previo y sin supervisión durante su uso. </span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Es indispensable el uso de pinzas o tenazas para evitar quemaduras por implementos de vidrio caliente, nunca se debe usar equipo de vidrio que esté agrietado o roto, el material de vidrio roto se debe depositar en un contenedor para vidrio, nunca en la papelera. </span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Evitar inhalar los vapores de productos químicos, nunca devolver a los frascos de origen los sobrantes de los productos utilizados sin consultar con el profesor, tanto aparatos como reactivos, deben estar lejos del borde de la mesa, mantener las sustancias inflamables lejos de las llamas de los mecheros, si se requiere calentar tubos con estos productos, se hará al baño María, nunca directamente a la llama, para prevenir salpicaduras, nunca se debe mirar por la boca de los tubos de ensayo o matraces cuando se está realizando una reacción, cuando se mezclan productos, generalmente debe hacerse en pequeñas cantidades y despacio, al diluir ácidos, hay que depositar siempre el ácido sobre el agua teniendo cuidado.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Como regla general, no se debe coger ningún producto químico. El profesor lo proporcionará, nunca se debe acercar la nariz para inhalar directamente del tubo de ensayo, está estrictamente prohibido pipetear reactivos con la boca. Se debe usar un dispositivo especial para pipetear líquidos, utilizar únicamente la cantidad de producto que se necesita para la experiencia de laboratorio.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Prestar atención a las etiquetas. </span></p></li></ul><br /><br /><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 223px; overflow: hidden; width: 525px;"><img height="223" src="https://lh6.googleusercontent.com/ma9ST_JfFbAN29XSJX9l6lz373t5YArZYc7roG9wfyjTg_yMEQ3o6PLHFd2bI6Yy8lj0KFTfehKLmVkirELN-V8XPOm71QohYe7Yjm7Ma68EfOTyoOOaRFIvLTWCkw" style="margin-left: 0px; margin-top: 0px;" width="525" /></span></span></p><br /><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La química está en nosotros y es inseparable de nuestra existencia. Podemos sentir su presencia en nuestra vida cotidiana, en los materiales que usamos y en los medicamentos que nos sanan. Somos Química y ésta nos acompaña en nuestra historia, desde los primeros días, cuando el asombro nos hizo descubrir el mundo. </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="border: none; display: inline-block; height: 373px; overflow: hidden; width: 616px;"><img height="373" src="https://lh5.googleusercontent.com/EYi0AhBzLnUkBdZYcT4xZfmgG-c4N4sjuAtomXfosg7NtADAl1GYPrnTs85Ngp3Vxtfol_kJT95dunokred8K0Z93kqq1a_HhY2iKgUyP7tAHTGa8vFGXa-3RPY54g" style="margin-left: 0px; margin-top: 0px;" width="616" /></span></p><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Uno de los grandes retos actuales es la reducción de gases de efecto invernadero. Más allá del debate sobre el grado de influencia de las actividades humanas en el clima, lo cierto es que todos debemos asumir la responsabilidad de minimizar nuestro impacto en el entorno. La química, la ciencia que en mayor medida contribuye a garantizar la mejora continua en nuestra calidad de vida, también se ha convertido en la herramienta esencial para mejorar la protección del medio ambiente. A través del desarrollo de tecnologías y procesos cada vez más limpios y eficientes, o mediante la generación de productos que contribuyen directa o indirectamente a la reducción de emisiones, los científicos e investigadores químicos trabajan continuamente en la búsqueda de soluciones al calentamiento global.</span></p><br /><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Marca la respuesta correcta: </span></p><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">21. </span><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Analiza las siguientes afirmaciones acerca de la historia de la química y la forma como se desarrolló esta ciencia. Señala la incorrecta: </span></p><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">A. </span><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Para los hombres de ciencia del siglo XVII, la teoría de la materia constituida por cuatro elementos: tierra, aire, agua, fuego, ya no era suficiente para explicar la composición y el comportamiento de la materia.</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">B. </span><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Debido a que los propósitos y técnicas de la alquimia fueron dudosos y casi siempre ilusorios, la alquimia no se puede considerar la antecesora de la química moderna. </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">C. </span><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">A través del tiempo, la evolución del pensamiento humano y el perfeccionamiento de los métodos de investigación han permitido que estas ideas fueran cambiando y a finales del siglo XIX, se renovaran completamente. </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">D. </span><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Las razones por las cuales un modelo se cambia, obedece a que con el progreso de la ciencia, la tecnología y la investigación, los científicos encuentran nuevos hechos o fenómenos en la naturaleza, para los cuales el modelo no presenta ninguna explicación y se requiere otro de mayor complejidad. </span></p><br /><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">22. La alquimia, una práctica compleja con multitud de matices y precursora de la química moderna, se practicó en diversas civilizaciones durante más de dos mil años y, en Europa, hasta el siglo XVIII. Cómo se caracterizaban las personas de esta época: </span></p><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">A. </span><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Personas inteligentes, laboriosas y bien intencionadas, que estudiaban la naturaleza; descubrieron técnicas que aún se usan y nuevas sustancias (como algunos de los actuales elementos químicos).</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">B.</span><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Personas vagas, con poco estudio, que inventaban teorías acerca de la naturaleza, descubrieron técnicas que no se usan hoy en día y nuevas sustancias (como algunos de los actuales elementos químicos).</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">C. </span><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Personas charlatanas y sin fundamento que no estudiaban la naturaleza; descubrieron técnicas que aún se usan y nuevas sustancias (como algunos de los actuales elementos químicos).</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">D. </span><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Todas las anteriores.</span></p><br /><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">23. La primera persona mujer en recibir dos premios Nobel: el de Física en 1903 y el de Química en 1911 fue: </span></p><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">A.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Stephanie Kwolek.</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">B. </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Irène Joliot-Curie.</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">C. </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Dorothy Hodgkin.</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">D. </span><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Marie Curie.</span></p><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">24. En Colombia, el cambio climático podría incidir en importantes actividades productivas. Teniendo en cuenta cuáles son los principales agentes responsables del efecto invernadero en la Tierra, una acción global para reducir la emisión de estos contaminantes químicos, debería contemplar principalmente: </span></p><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">A. </span><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">la disminución del uso de fuentes alternativas de energía. </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">B. </span><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">la reforestación de las cuencas y la descontaminación de los ríos. </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">C. </span><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">el uso de energías renovables, en lugar de derivados del petróleo. </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">D. </span><span style="background-color: white; color: #26282a; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">la utilización de fertilizantes orgánicos en los procesos productivos agrícolas. </span></p><br /><br /><br /><br /><br /><p dir="ltr" style="background-color: white; line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; padding: 12pt 0pt 8pt 0pt;"><span style="background-color: transparent; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">25.</span><span style="background-color: transparent; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> El </span><a href="https://www.unenvironment.org/es" style="text-decoration-line: none;"><span style="background-color: transparent; color: black; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Programa de las Naciones Unidas para el Medio Ambiente</span></a><span style="background-color: transparent; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> destaca que durante el actual brote de </span><a href="https://news.un.org/es/events/cobertura-especial-de-noticias-onu-sobre-el-coronavirus" style="text-decoration-line: none;"><span style="background-color: transparent; color: black; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">coronavirus COVID-19</span></a><span style="background-color: transparent; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> se produce una gran cantidad de desechos como guantes, mascarillas o materiales de protección infectados, entre otros.</span></p><p dir="ltr" style="background-color: white; line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; padding: 4pt 0pt 8pt 0pt;"><span style="background-color: transparent; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El manejo seguro de esos desechos biomédicos y sanitarios es esencial para la salud comunitaria y la integridad del medio ambiente.</span></p><p dir="ltr" style="background-color: white; line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; padding: 4pt 0pt 8pt 0pt;"><span style="background-color: transparent; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">De acuerdo a lo anterior, relaciona las imágenes del recuadro con el riesgo que simboliza.</span></p><p dir="ltr" style="background-color: white; line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; padding: 4pt 0pt 8pt 0pt;"><span style="background-color: transparent; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Completa al frente de cada significado el número de la imagen, el símbolo que debería utilizarse para señalizar y conducir al adecuado manejo de los protocolos de bioseguridad.</span></p><p dir="ltr" style="background-color: white; line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; padding: 4pt 0pt 8pt 0pt;"><span style="background-color: transparent; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="background-color: white; line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; padding: 4pt 0pt 8pt 18pt; text-indent: -18pt;"><span style="background-color: transparent; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">· Riesgo infectocontagioso o biológico ____________________</span></p><p dir="ltr" style="background-color: white; line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; padding: 4pt 0pt 8pt 18pt; text-indent: -18pt;"><span style="background-color: transparent; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">· Residuos reciclables ___________________</span></p><p dir="ltr" style="background-color: white; line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; padding: 4pt 0pt 8pt 18pt; text-indent: -18pt;"><span style="background-color: transparent; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">· Sustancias químicas peligrosas por aspiración _____________________</span></p><p dir="ltr" style="background-color: white; line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; padding: 4pt 0pt 8pt 18pt; text-indent: -18pt;"><span style="background-color: transparent; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">· Residuos químicos que afectan el medio ambiente ______________________</span></p><p dir="ltr" style="background-color: white; line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; padding: 4pt 0pt 8pt 18pt; text-indent: -18pt;"> </p><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 426px; overflow: hidden; width: 557px;"><img height="426" src="https://lh6.googleusercontent.com/eioPV2D2VFlRJy8LlkM50ZRdDLs2qLSTmVRBA_1jVjFQawS1lPoGqZvAKqYGKAxCVgpLuLDYZRGe7YyZrzlkeFoVVFXfq1w_-qP12zlCHcIC9YqvXXoAfjx8WF5nOA" style="margin-left: 0px; margin-top: 0px;" width="557" /></span></span></p><br /><br /><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: red; font-size: 15pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">TECNOLOGÍA E INFORMÁTICA</span></p><br /><p dir="ltr" style="background-color: white; line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="color: #54595f; font-family: Arial; font-size: 13.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Excel es un programa que permite crear, así como manipular, toda clase de tablas de datos, gráficos, bases de datos, etc. Lo más interesante de este programa es que puedes llegar a desarrollar multitud de pequeñas aplicaciones avanzadas que se convertirán en potentes herramientas de trabajo. Excel es capaz de automatizar una importante parte de tu trabajo.</span></p><p dir="ltr" style="background-color: white; line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="color: #54595f; font-family: Arial; font-size: 13.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="background-color: white; line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="color: #54595f; font-family: Arial; font-size: 13.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Los campos de aplicación que tiene Excel son infinitos y pueden alcanzar multitud de áreas, como educación, finanzas, producción, administración, entre otras. En otras palabras, toda aquella persona o grupo de personas que trabaje en áreas donde se precise el procesamiento de datos numéricos podrá sacar un gran rendimiento y mucho a esta herramienta.</span></p><p dir="ltr" style="background-color: white; line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"> </p><p dir="ltr" style="background-color: white; line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="color: #54595f; font-family: Arial; font-size: 13.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La utilidad que presente Excel se muestra en prácticamente cualquier cosa que se haga, ya sea a pequeña o bien a mediana escala. Llevar el control de gastos personales o del hogar, llevar el control de notas o de asistencia (ideal para profesorado), realizar reportes gráficos, contabilizar, en resumen, las funciones de Excel van mucho más lejos de lo que nos podemos imaginar. Excel se puede emplear para infinidad de cosas, tanto en el ámbito personal como en el ámbito profesional.</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="background-color: white; color: #26282a; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ejercicio Excel #1 –</span></p><ol style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="color: #26282a; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="background-color: white; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En un nuevo libro de Excel, elaborar la siguiente planilla de datos:</span></p></li></ol><p dir="ltr" style="line-height: 1.2; margin-bottom: 12pt; margin-top: 12pt; text-align: center;"><span style="background-color: white; color: #26282a; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 132px; overflow: hidden; width: 430px;"><img height="132" src="https://lh6.googleusercontent.com/iNPm-O7Z33mGAbFemAo-s8TYCgeEKg9o8S84T41d78gEuizqShbBIS4yATTU4-Gio91ZbV2A6K_isCinr4iK0rjjr8bJ_5tux0xoE9ymIWEfBhM32TTjdWEYDnu_0A" style="margin-left: 0px; margin-top: 0px;" width="430" /></span></span></p><ol start="2" style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="color: #26282a; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 12pt; text-align: justify;"><span style="background-color: white; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Rellenar la columna Subtotal, la que se calcula: Cant * Precio. Unit.</span></p></li><li aria-level="1" dir="ltr" style="color: #26282a; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Rellenar la columna I.V.A, la que se calcula: Subtotal * 0.23 o Subtotal * 23% o Subtotal * 23 / 100.</span></p></li><li aria-level="1" dir="ltr" style="color: #26282a; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Rellenar la columna Total, la que se calcula: Subtotal + I.V.A.</span></p></li><li aria-level="1" dir="ltr" style="color: #26282a; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Rellenar la fila Total, para lo cual en la celda de la columna Subtotal, debe mostrarse la suma de los Subtotales; en la celda de la columna I.V.A, debe mostrarse la suma de los I.V.A; y en la celda de la columna Total, debe mostrarse la suma de los Totales.</span></p></li><li aria-level="1" dir="ltr" style="color: #26282a; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Guardar este libro con el nombre Articulos.xls en su computador.</span></p></li><li aria-level="1" dir="ltr" style="color: #26282a; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 12pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En un nuevo libro de Excel, elaborar la siguiente planilla de datos:</span></p></li></ol><p dir="ltr" style="line-height: 1.2; margin-bottom: 12pt; margin-top: 12pt; text-align: center;"><span style="background-color: white; color: #26282a; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 190px; overflow: hidden; width: 300px;"><img height="190" src="https://lh3.googleusercontent.com/m33YrHFZUY3c4TiLwE-V_GGX7w8XzrWcIUaY-yQAAX5anNbaZ7g3qubJWTV0f0hbceALWjrdMH1fjb4x9mMy5yA1vlMWRPwUfRGZ_8dmyY2KuutBm8aJ8-gyqO1oHw" style="margin-left: 0px; margin-top: 0px;" width="300" /></span></span></p><ol start="8" style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="color: #26282a; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 12pt; text-align: justify;"><span style="background-color: white; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Rellenar la columna Saldo, la que se calcula: Ingresos – Egresos.</span></p></li><li aria-level="1" dir="ltr" style="color: #26282a; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Sin cerrar el libro actual, guardarlo con el nombre Sucursales.xls en su computador.</span></p></li><li aria-level="1" dir="ltr" style="color: #26282a; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Al final de la planilla (en la Columna E), ingresar el texto “Comisión” a modo de rótulo y debajo de éste calcular para cada sucursal el 5% sobre el Saldo.</span></p></li><li aria-level="1" dir="ltr" style="color: #26282a; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Calcular los totales de las columnas Ingresos, Egresos y Saldo.</span></p></li><li aria-level="1" dir="ltr" style="color: #26282a; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.2; margin-bottom: 12pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Guardar los cambios realizados en este libro con el nombre Tercero.xls en su computador.</span></p></li></ol><br /><p dir="ltr" style="line-height: 1.2; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="background-color: white; color: #54595f; font-family: Arial; font-size: 13.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Operaciones básicas en Excel</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><a href="https://www.youtube.com/watch?v=kGFIfEObKxs" style="text-decoration-line: none;"><span style="background-color: white; color: #1155cc; font-family: Arial; font-size: 13.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">https://www.youtube.com/watch?v=kGFIfEObKxs</span></a></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="background-color: white; color: #54595f; font-family: Arial; font-size: 13.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Guardar un libro de Excel (archivo)</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><a href="https://www.youtube.com/watch?v=_C7epaR2Xso" style="text-decoration-line: none;"><span style="background-color: white; color: #1155cc; font-family: Arial; font-size: 13.5pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">https://www.youtube.com/watch?v=_C7epaR2Xso</span></a></p><br /><h2 dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 5.65pt; margin-top: 3.05pt;"><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">PROBLEMAS DE APLICACIÓN</span></h2><br /><h2 dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 5.65pt; margin-top: 9.45pt;"><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">AVANCE 1 PRODUCTO FINAL</span></h2><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 5.65pt; margin-top: 10.2pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Definir el producto</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 5.65pt; margin-top: 10.2pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Guía 1. Diagnóstico: Responder a la pregunta ¿qué conozco?</span></p><p dir="ltr" style="line-height: 2.085; margin-bottom: 0pt; margin-left: 5.65pt; margin-right: 108.3pt; margin-top: 10.2pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Guía 2. Identificación del problema: Responder a la pregunta ¿Qué problemas hay? Guía 3. Alternativas de solución: Responder a la pregunta ¿Qué solución puedo brindar?</span></p><br /><br /><br /><br /><h2 dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-left: 5.65pt; margin-top: 11.4pt;"><span style="color: #073762; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">REFERENCIAS</span></h2><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-left: 5.65pt; margin-top: 0pt;"><a href="https://www.co.undp.org/content/colombia/es/home/sustainable-development-goals/goal-13-climate-action.html" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">Objetivo 13: Acción por el clima | El PNUD en Colombia (undp.org)</span></a></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-left: 5.65pt; margin-top: 0pt;"><a href="https://www.mineducacion.gov.co/1759/articles-355749_recurso_normatividad.pdf" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">articles-355749_recurso_normatividad.pdf (mineducacion.gov.co)</span></a></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-left: 5.65pt; margin-top: 0pt;"><a href="https://elrincondelacienciaytecnologia.blogspot.com/2011/12/el-calendario-cosmico-de-carl-sagan.html" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">https://elrincondelacienciaytecnologia.blogspot.com/2011/12/el-calendario-cosmico-de-carl-sagan.html</span></a></p><br /></span>Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-49562435593865230372021-02-15T10:22:00.000-08:002021-02-15T10:22:07.195-08:00GUÍA 1 PERIODO 1 GRADO SÉPTIMO - AREAS INTEGRADAS: MATEMÁTICAS, CIENCIAS NATURALES Y TECNOLOGIA<p> </p><span id="docs-internal-guid-a13c33d4-7fff-bdd4-ac00-0ddbe6a6d366"><div style="text-align: center;"><b style="color: red; font-size: x-large;">HOLA ESTUDIANTES DE GRADO SÉPTIMO ESTA ES LA GUÍA 1 DEL PRIMER PERIODO</b></div></span><div><span><br /><div align="center" dir="ltr" style="margin-left: 0pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="191"></col><col width="399"></col><col width="155"></col></colgroup><tbody><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="color: #073763; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Grado 7º</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="color: #073763; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Jornada </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="color: #073763; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Mañana</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="color: #073763; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Áreas / Asignaturas: </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Matemáticas</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> Tecnología e Informática</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> Ciencias Naturales y Física</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="color: #073763; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Guía: 1</span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="color: #073763; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Primer periodo</span></p></td></tr><tr style="height: 22pt;"><td colspan="3" style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="color: #274e13; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Contacto: Correo electrónico y blog o página web. </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Matemáticas: </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">702 y 703: Profesor Héctor Rodríguez. </span><a href="mailto:hrmatematicas5@gmail.com" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">hrmatematicas5@gmail.com</span></a><span style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span><a href="mailto:hhrodriguezb@educacionbogota.edu.co" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">hhrodriguezb@educacionbogota.edu.co</span></a></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">704 y 705: Profesor Javier Mojica. </span><a href="mailto:amojica@educacionbogota.edu.co" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">amojica@educacionbogota.edu.co</span></a></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">706: Profesora Liliana Lancheros. </span><a href="mailto:sllancheros@educacionbogota.edu.co" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">sllancheros@educacionbogota.edu.co</span></a></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Informática; Oscar Mendoza: </span><a href="mailto:omendoza@educacionbogota.edu.co" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">omendoza@educacionbogota.edu.co</span></a><span style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Física 705 y 706; Claudia Vásquez: </span><a href="mailto:docenteclaudiav@gmail.com" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">docenteclaudiav@gmail.com</span></a></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Biología y Física (702-703-704): Jully Sánchez: </span><a href="mailto:jsancheza@educacionbogota.edu.co" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">jsancheza@educacionbogota.edu.co</span></a></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span><a href="http://grado7-jullysanchez.webnode.com.co" style="text-decoration-line: none;"><span style="background-color: white; color: #1155cc; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">grado7-jullysanchez.webnode.com.co</span></a></p></td></tr></tbody></table></div><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="color: #073763; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">COMPETENCIA </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El estudiante está en capacidad de formular preguntas, hipótesis y buscar alternativas de solución utilizando las TIC; teniendo como base las estructuras biológicas, las relaciones entre los organismos en el ambiente, los fenómenos físicos de fuerzas y energía. Aplicando los números enteros y racionales. </span><span style="border: none; display: inline-block; height: 134px; overflow: hidden; width: 134px;"><img height="134" src="https://lh4.googleusercontent.com/mMZiBWneWh7dRel9g-MUd1Yo3NUBIKNZVBBZbQXOGl03YMF5uz72aZ7s-qmV7atcINIBXNGtbySgaWAsg4vmjS8fygZrVhdOHECS88Vu00rScvJxmEx6PhgT2Rhby8idlc_x-DxV" style="margin-left: 0px; margin-top: 0px;" width="134" /></span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="color: #073763; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">PREGUNTA PROBLÉMICA</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-right: 104.25590551181102pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">¿Los avances científicos garantizan una vida sana y promueven el bienestar?</span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="color: #073763; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">OBJETIVO DE DESARROLLO SOSTENIBLE</span><span style="color: #073763; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Salud y bienestar: garantizar una vida sana y promover el bienestar para todos, en las diferentes edades.</span></p><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="background-color: #073763; color: white; font-size: 15pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">INSTRUCCIONES</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Queridos estudiantes, </span></p><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Para que los docentes realicen, la calificación de la guía, deben </span><span style="background-color: cyan; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">ingresar a los siguientes formularios:</span></p><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="color: red; font-size: 15pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">MATEMÁTICAS: </span><a href="https://forms.office.com/Pages/ResponsePage.aspx?id=LJ7IUckKJECA8TqGSmlLFUfaoVrbKLVHv15KKqQAOIhUN0pJVlo4VTFFUzJKVTZPM0pTVFNOVjBBUy4u" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">https://forms.office.com/Pages/ResponsePage.aspx?id=LJ7IUckKJECA8TqGSmlLFUfaoVrbKLVHv15KKqQAOIhUN0pJVlo4VTFFUzJKVTZPM0pTVFNOVjBBUy4u </span><span style="color: #1155cc; font-size: 15pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;"> </span></a><span style="color: red; font-size: 15pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="color: red; font-size: 15pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">TECNOLOGÍA E INFORMÁTICA: </span><a href="https://forms.office.com/Pages/ResponsePage.aspx?id=LJ7IUckKJECA8TqGSmlLFQm0FHjPtVtNmVH3fuPvzWJUQkhaSTQxVDY4UEhHN0w3OVM5SFVDTk5USS4u" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">https://forms.office.com/Pages/ResponsePage.aspx?id=LJ7IUckKJECA8TqGSmlLFQm0FHjPtVtNmVH3fuPvzWJUQkhaSTQxVDY4UEhHN0w3OVM5SFVDTk5USS4u</span></a></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="color: red; font-size: 15pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">CIENCIAS NATURALES: </span><a href="https://forms.gle/4iMmQU8Urf3gDubQ9" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">https://forms.gle/4iMmQU8Urf3gDubQ9</span></a></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="color: red; font-size: 15pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">FÍSICA: </span><a href="https://forms.gle/G9VsJLqroWC8QuV6A" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">https://forms.gle/G9VsJLqroWC8QuV6A</span></a><span style="color: red; font-size: 15pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">Recuerden que </span><span style="background-color: yellow; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">No es necesario imprimir</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">, ni enviar adjuntos por correo electrónico, si contestan en los formularios. </span></p><br /><br /><br /><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="color: #073763; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">LINEAMIENTOS GENERALES</span></p><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Teniendo en cuenta los principios orientadores del PEI del Colegio Nueva Colombia I.E.D en lo referente a línea de acción ecoturística; contando con la inclusión de la institución en colegios amigos del turismo y la descripción del PRAE en la siguiente introducción:</span></p><br /><img aria-roledescription="Dibujo" height="44" src="https://docs.google.com/drawings/u/0/d/shrwOpPf3rcAfEB32cjLGZg/image?w=30&h=44&rev=1&ac=1&parent=1WkwgeJx3ftkuHo6drMCEQMMb7XBssKisym12lfzYZSE" style="border: none;" width="30" /><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Una de las funciones de nuestra institución al tener un enfoque de carácter ambiental, es el desarrollo de herramientas y competencias que les permitan a los estudiantes interactuar y decidir en forma sostenible, participando responsablemente en el cuidado y la protección de su entorno.</span></p><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Durante cada trimestre se tratará un objetivo de desarrollo sostenible, (planteados por la ONU); que será el eje transversal de las 3 áreas (Ciencias Naturales, Matemáticas y Tecnología).</span></p><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El trabajo de cada trimestre se organizará en 3 momentos evidenciados cada uno en una guía donde se desarrollarán los temas de ciencias, matemáticas y tecnología de manera interdisciplinar, es decir, en total son 3 guías en todo el periodo y un producto final que apunta a un objetivo que se definirá al inicio de cada trimestre de acuerdo con el grado. </span></p><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">También se realizarán los encuentros virtuales de cada asignatura, los cuales son muy importantes, ya que en estos espacios se resolverán dudas de las temáticas que los estudiantes han venido desarrollando en la guía y se apuntará a profundizar y aclarar de esta manera los temas vistos.</span></p><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Cada guía se diseña bajo un eje transversal y aborda los temas de las 3 áreas, es importante tener en cuenta que las notas de cada área van independientes y los estudiantes deben enviar la guía completa a cada uno de los profesores correspondientes de ciencias naturales, matemáticas y tecnología. </span></p><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El producto final se desarrollará durante todo el periodo y reemplazará a la prueba trimestral, deben tener en cuenta que este producto será evaluado por los docentes de las 3 áreas, y se promedian las notas para obtener una sola al final de dicho producto.</span></p><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En total las notas de cada periodo serán 5, que se distribuirán de la siguiente manera:</span></p><br /><br /><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">3 guías de trabajo </span></p></li></ul><br /><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Producto final asignado que reemplaza a la evaluación trimestral </span></p></li></ul><br /><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Autoevaluación </span></p></li></ul><br /><br /><br /><br /><br /><br /><div align="left" dir="ltr" style="margin-left: -5.4pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="747"></col></colgroup><tbody><tr style="height: 0pt;"><td style="background-color: #073763; border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0pt 5.4pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="background-color: transparent; color: white; font-family: Calibri, sans-serif; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">MATEMÁTICAS</span></p></td></tr></tbody></table></div><h1 dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 6pt; margin-top: 24pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">¿Qué son números enteros?</span><span style="border: none; display: inline-block; height: 210px; overflow: hidden; width: 186px;"><img height="210" src="https://lh3.googleusercontent.com/Wqss5FyVFSpTIr2X8t_GDj2FUpKBKup0HAAlUL1b28DuyNLszOpvvUAAmKuA8mozvccZC9sMBec2grwaa65yuV3jcg6k4aKsXUivXL4ZyLRQBWWUAgors11OgmNXUsdUO75Qebtz" style="margin-left: 0px; margin-top: 0px;" width="186" /></span></h1><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Números negativos ¿Cuáles son?</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Los matemáticos trabajaron desde tiempos muy remotos con cantidades negativas. Para ellos, la Matemática servía no sólo para representar cantidades sino también para representar leyes universales del mundo. Para los chinos, el mundo era un movimiento en busca del equilibrio entre fenómenos opuestos: el día y la noche, el hombre y la mujer, la alegría y la tristeza, el frío y el calor, etc. Esta creencia les hacía pensar con la mayor naturalidad que a cada número positivo le corresponde su opuesto, es decir, el número que al añadirle su opuesto diera como resultado el equilibrio, lo que no es positivo ni negativo: el cero.</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Es interesante el hecho de que ni los matemáticos egipcios ni los griegos, con todo lo brillantes que eran, llegaron a crear un símbolo para representar la nada. Tampoco en los números romanos existe el cero. Poco a poco, el sistema de numeración creado por los hindúes incluía un símbolo para el cero.</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Pero los números "absurdos'' de los hindúes (es decir, los negativos) tardaron mucho más que el cero en </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">aceptarse</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> y utilizarse tal como lo hacemos hoy. Para los hindúes, los números negativos tenían un sentido práctico: el de las deudas. En el comercio, se separan las deudas de las ganancias claramente, para llevar las cuentas.</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Después del descubrimiento de América, con el florecimiento del comercio en Europa, se hizo cada vez más frecuente el uso de los números negativos, por la mayor facilidad que estos brindaban para llevar las cuentas.</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">¿Cuándo utilizamos los números Enteros?</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Para resolver numéricamente algunas situaciones de la vida cotidiana los números naturales no son suficientes. Por ejemplo, las temperaturas por debajo de cero, o los puntos en contra en un juego, así como el dinero que gastamos.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Observa el siguiente ejemplo:</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Laura tiene 4 hijos: María, Alberto, Sandra y Manuel. Como sus hijos son tan “Gastadores”, Laura decidió controlarles los gastos diarios, para lo cual elaboró la siguiente tabla:</span><span style="border: none; display: inline-block; height: 135px; overflow: hidden; width: 299px;"><img height="135" src="https://lh3.googleusercontent.com/58aYFklf-WmvAx5Fq-mdoiBmzuTFhr4yP2gQpxyoI71xAU5Z0ttkjwItR6gxauDYr7GD6r2VFuFanikZk0CVT2lz0uV1-tWfQB-3ffpgJnZdzsj9UhSHC20jBGUOaZihXPn15ELd" style="margin-left: 0px; margin-top: 0px;" width="299" /></span></p><div align="left" dir="ltr" style="margin-left: 0pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="88"></col><col width="82"></col><col width="81"></col><col width="96"></col><col width="76"></col></colgroup><tbody><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">LLEVÓ</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">GASTÓ</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">LE SOBRÓ</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">DEBE</span></p></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 9pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">MARÍA</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">$3.000</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">$2.300</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">$700</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">0</span></p></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 9pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">ALBERT0</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">$2.600</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">$2.000</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">$600</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">0</span></p></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 9pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">SANDRA</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">$2.500</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">$2500</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">0</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">0</span></p></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 9pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">MANUEL</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">$2.000</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">$2.600</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">0</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">$600</span></p></td></tr></tbody></table></div><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Analicemos la situación de los hijos de Laura al finalizar el día:</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> A </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">María</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> le sobró $700, pues no gastó todo lo que llevó</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Alberto</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> al igual que María le sobró dinero</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Sandra</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> gastó todo, es decir no le quedó nada, pero tampoco debe</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Y </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Manuel</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> tiene una situación distinta, pues él “</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">tiene una deuda</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">”, para poder expresar ésta deuda no lo podemos hacer con los Naturales, pero sí con los enteros, pues como debe $600 entonces Manuel tiene -$600.</span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Así como en la anterior, muchos hechos que se presentan en la vida diaria pueden interpretarse con números positivos y números negativos, donde a cada uno le corresponde el signo </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> + </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">o </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">– </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">respectivamente. Veamos algunos ejemplos:</span><span style="border: none; display: inline-block; height: 168px; overflow: hidden; width: 189px;"><img height="168" src="https://lh3.googleusercontent.com/cPToc1GWL6iKsWJkGjbiDTfEpIvv1h-d5OUPle2Q3VZu3K7Clj5IlHVc7TCDLObGEe8n2NsQKr0Q3QLSPtWo9V769IWgxJcBPqq4zEiJMhXudKL0dLBHXsYZ--yFbqWwEyNrRtsD" style="margin-left: 0px; margin-top: 0px;" width="189" /></span></p><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">TEMPERATURAS SOBRE Y BAJO CERO: </span></p></li></ul><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-left: 36pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">30º Sobre cero: + 30</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-left: 36pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">-5º Bajo cero : - 5</span></p><br /><br /><span style="border: none; display: inline-block; height: 180px; overflow: hidden; width: 259px;"><img height="180" src="https://lh4.googleusercontent.com/dLmMrN-TIPYHzbxv4D8Mu5ssN2-8LXQ8JjUfCS2ffpzHYoEoXgfOSYmtPfNMmhwKGMmHddllH2kCYJ4qwLwAeNQyEQe76WE2aauniSmQ5ae_emyWNcJmqHRJg-keWzQ05ifQAjHl" style="margin-left: 0px; margin-top: 0px;" width="259" /></span><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 12pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">ALTITUDES SOBRE Y BAJO EL NIVEL DEL MAR:</span></p></li></ul><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-left: 18pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 1.500 m sobre el nivel del mar: + 1.500 m</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> 400 m bajo el nivel del mar: - 400 m</span></p><br /><br /><span style="border: none; display: inline-block; height: 69px; overflow: hidden; width: 381px;"><img height="69" src="https://lh4.googleusercontent.com/L7U4caAaOe9KtfuECbM80s4eZnjX-R-PRnjF4P9pF1r39snsBEpMGB7z2MmU__-9qZ9RIYMRDGnmP1Q4izpr4_0iouf-lqHfIf_U6qgvsL_zob4edoN1a-MJEco_uqM4udaTUVl2" style="margin-left: 0px; margin-top: 0px;" width="381" /></span><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">AÑOS ANTES Y DESPUÉS DE CRISTO:</span></p></li></ul><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-left: 18pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">50 Años antes de Cristo: - 50</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">30 Años después de Cristo: +30</span><span style="border: none; display: inline-block; height: 183px; overflow: hidden; width: 275px;"><img height="183" src="https://lh3.googleusercontent.com/-136CkduHncwRgHnheAT505Nc2Jt6FUj7e2bwm9PYz8giHzBguKEc-yFbQil2NKOHkaGVNwL4c7Div5v1cjvkLa2rFsu3BS3kgMgdGV9c1MiF732janFuDeBl1PN_3uq6wacpNWn" style="margin-left: 0px; margin-top: 0px;" width="275" /></span></p><br /><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">PÉRDIDAS O GANANCIAS:</span></p></li></ul><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-left: 18pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ganancia : + $ 2.500</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-left: 18pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Pérdida : - $1.200</span></p><br /><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Existe un conjunto de números llamados Números Naturales que puedes representar con la letra N= { 1, 2, 3, 4, 5, 6, 7…} , Todos estos números no tienen signo antes de ellos por lo cual se les llaman números positivos. </span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El número (-2) está acompañado del signo (-), es decir es un número negativo. Estos y los anteriores forman el conjunto de los números enteros se representan con la letra Z.</span></p><br /><br /><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt;"><span style="font-size: 12pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">¿QUÉ NÚMEROS CONFORMAN EL CONJUNTO DE LOS NÚMEROS ENTEROS “Z”?</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El conjunto de los números enteros está conformado por:</span><span style="border: none; display: inline-block; height: 292px; overflow: hidden; width: 224px;"><img height="292" src="https://lh5.googleusercontent.com/5HvVQsiabSGx7OwvcKqHtcRJ-WvnArGOn61xdLAu46f4lyiFax7TrR7s4W7UKTF-AkQEJQ8Q4KkXQZFibXjsGBjLV7VPSu3FJtz4B-kvy5BZ-1MgFx1Qrb7yfScMnuoJf7W3d8Zc" style="margin-left: 0px; margin-top: 0px;" width="224" /></span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">A. Los números naturales </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">{1, 2, 3, 4, 5…..}</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">B. Los números negativos </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">{ -5, -4, -3, -2, -1}</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">C. El cero </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span class="Apple-tab-span" style="white-space: pre;"> </span></span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">{0}</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">ENTONCES:</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> Z= N U (0) U Z - = Z+ U (0) U Z –</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Z= { …..-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5…}</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Recuerda que N es el conjunto de los números naturales O enteros positivos o Z +. Los Z negativos están formados por un N y el signo menos (-)</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 185px; overflow: hidden; width: 604px;"><img height="185" src="https://lh5.googleusercontent.com/fmgU_thgWHgqEWJ_kwqx_C8lghMVY-zVKSASNOc8-wXLC2iRn--sGlNcpVdqt1NW2zFicHB1gT81qYGPgNN6QfxWZJ2NZ8VWVHCACjTKbBpwP1bI9BWGRbWyCmGmHcJhi9G3Ms4O" style="margin-left: 0px; margin-top: 0px;" width="604" /></span></span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Observa que el conjunto Z de los números enteros lo constituyen tres subconjuntos: Z+, {0}, Z-. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Los cuales tienen la condición de que Z+ ∩ {0} ∩ Z- = </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: line-through; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">0 </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">(Vacío)</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Z= {…-5, -4, -3, -2, -1. 0, 1, 2, 3, 4, 5, …..}</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="color: #073763; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">ACTIVIDAD</span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> 1.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> El gran geómetra griego Euclides de Alejandría nació en el año 325 a.c. y murió en el año 265 a.c.</span></p><ol style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: upper-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Según estos datos es correcto afirmar que Euclides vivió:</span></p></li></ol><p dir="ltr" style="line-height: 1.38; margin-bottom: 12pt; margin-left: 36pt; margin-top: 12pt; padding: 0pt 0pt 0pt 18pt; text-indent: -18pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">a.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">70 años</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 12pt; margin-left: 36pt; margin-top: 12pt; padding: 0pt 0pt 0pt 18pt; text-indent: -18pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">b.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">50 años</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 12pt; margin-left: 36pt; margin-top: 12pt; padding: 0pt 0pt 0pt 18pt; text-indent: -18pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">c.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">60 años</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 12pt; margin-left: 36pt; margin-top: 12pt; padding: 0pt 0pt 0pt 18pt; text-indent: -18pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">d.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">40 años</span></p><br /><br /><ol start="2" style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: upper-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 12pt; margin-top: 12pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Euclides nació hace:</span></p></li></ol><p dir="ltr" style="line-height: 1.38; margin-bottom: 12pt; margin-left: 36pt; margin-top: 12pt; padding: 0pt 0pt 0pt 18pt; text-indent: -18pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">a.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2021 años</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 12pt; margin-left: 36pt; margin-top: 12pt; padding: 0pt 0pt 0pt 18pt; text-indent: -18pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">b.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2346 años</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 12pt; margin-left: 36pt; margin-top: 12pt; padding: 0pt 0pt 0pt 18pt; text-indent: -18pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">c.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">2286 años</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 12pt; margin-left: 36pt; margin-top: 12pt; padding: 0pt 0pt 0pt 18pt; text-indent: -18pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">d.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">1756 años</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-left: 21.259842519685044pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">2.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Un buzo realiza la siguiente rutina: desciende 42 mt y observa el comportamiento de un raro pez, desciende 87 mt y toma unas muestras de plancton, luego asciende 63 mt y fotografía un cardumen de peces y finalmente asciende 19 mt para grabar el comportamiento de un pez aguja. La distancia de la superficie en la cual terminó el buzo es de:</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 12pt; margin-left: 21.259842519685044pt; margin-top: 12pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">a.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">-129 mt</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 12pt; margin-left: 21.259842519685044pt; margin-top: 12pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">b.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">-82 mt</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 12pt; margin-left: 21.259842519685044pt; margin-top: 12pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">c.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">-47 mt</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 12pt; margin-left: 21.259842519685044pt; margin-top: 12pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">d.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">-19 mt</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 12pt; margin-left: 21.259842519685044pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">3. </span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Un bus con cupo de 52 pasajeros empezó su recorrido con 14 pasajeros. Cada vez que el bus se detenía en un paradero se subían tres pasajeros y se bajaba uno. ¿En cuántos paraderos se detuvo el bus para completar su cupo?</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 12pt; margin-left: 21.259842519685044pt; margin-top: 12pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">a.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">66 </span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 12pt; margin-left: 21.259842519685044pt; margin-top: 12pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">b.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">38</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 12pt; margin-left: 21.259842519685044pt; margin-top: 12pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">c.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">19</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 12pt; margin-left: 21.259842519685044pt; margin-top: 12pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">d.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">52</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-left: 21.259842519685044pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">4. Un caracol inicialmente está en el fondo de un estanque que tiene 3 metros de profundidad, asciende 30 cm. en la noche, pero en el día por efecto del sol desciende 20 cm. ¿Cuántos días gastará dicho molusco para salirse del estanque?</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-left: 53pt; margin-top: 12pt; padding: 0pt 0pt 0pt 18pt; text-align: justify; text-indent: -18pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">a.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">10 días</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-left: 53pt; margin-top: 12pt; padding: 0pt 0pt 0pt 18pt; text-align: justify; text-indent: -18pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">b.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">30 días</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-left: 53pt; margin-top: 12pt; padding: 0pt 0pt 0pt 18pt; text-align: justify; text-indent: -18pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">c.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">20 días</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-left: 53pt; margin-top: 12pt; padding: 0pt 0pt 0pt 18pt; text-align: justify; text-indent: -18pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">d.</span><span style="font-size: 7pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">15 días</span></p><br /><div align="left" dir="ltr" style="margin-left: -5.4pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="747"></col></colgroup><tbody><tr style="height: 0pt;"><td style="background-color: #073763; border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0pt 5.4pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="background-color: transparent; color: white; font-family: Calibri, sans-serif; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">CIENCIAS NATURALES BIOLOGÍA</span></p></td></tr></tbody></table></div><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">SALUD Y BIENESTAR</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Salud, es</span><span style="background-color: white; color: #111111; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> tener bienestar físico, mental y social; estar libres de enfermedades y dolencias, a partir del ejercicio, buenos hábitos alimenticios, evitando </span><span style="background-color: white; color: #333333; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">estrés, depresión, adicciones como el alcoholismo, fumar o consumir sustancias psicoactivas. Mientras que el </span><span style="background-color: white; color: #333333; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Bienestar</span><span style="background-color: white; color: #333333; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> es </span><span style="background-color: white; color: #111111; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">llevar un estilo de vida saludable o proceso </span><span style="background-color: white; color: #333333; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">activo a través del cual las personas toman conciencia y toman decisiones hacia </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">una existencia más exitosa. </span></p><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En Colombia las metas trazadas para el cumplimiento de este objetivo de desarrollo sostenible son; Reducir la mortalidad, Acabar con las muertes prevenibles de menores de 5 años de edad, Luchar contra las enfermedades transmisibles como el SIDA, la tuberculosis, la malaria, las enfermedades tropicales, la hepatitis, etc, Prevenir y tratar el abuso de sustancias, Reducir lesiones y muertes en carreteras, Garantizar el acceso universal a atención reproductiva, planificación y educación sexual, Alcanzar la cobertura universal de salud, Reducir las enfermedades y muertes causadas por la contaminación, productos químicos y peligrosos, Apoyar la investigación, el desarrollo y el acceso universal a vacunas y medicamentos asequibles, Aumentar la financiación de la salud y el apoyo a la fuerza laboral en los países en desarrollo, Mejorar los sistemas de alerta temprana para los riesgos a la salud mundial.</span></p><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Los avances tecnológicos en la salud, como la utilización de las primeras vacunas, el uso de los antibióticos y el descubrimiento de la estructura del ADN supusieron grandes avances en la medicina enfocados a vencer y superar las enfermedades. La ciencia médica sigue progresando para entender mejor los mecanismos del comportamiento de nuestro organismo con el fin de prevenir, diagnosticar tempranamente y curar patologías que en otro tiempo serían mortales. </span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">LEE CON ATENCIÓN: </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La herramienta que permite investigar sobre diferentes temas, es el método científico:</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 540px; overflow: hidden; width: 486px;"><img height="540" src="https://lh5.googleusercontent.com/cmCoImu_WwLBSCOfmQc3SrkA5-habihh8uq-57FhZAR_sraahmGdPfe2KVRteqk_z6KL9yHHz8VTTKeLSuBQYe9y4YK2IOVbqKSxxGQZG4QkPI1nfDZrLJssjk02Eztp-0VcQEP1" style="margin-left: 0px; margin-top: 0px;" width="486" /></span></span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">A partir del método científico, se han realizado diferentes avances tecnológicos, que nos permiten hoy en día, gozar de servicios de salud y bienestar. </span></p><br /><br /><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El microscopio por ejemplo, es la tecnología usada para ver las células y tejidos que conforman los seres vivos. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 324px; overflow: hidden; width: 578px;"><img height="324" src="https://lh4.googleusercontent.com/7MOo5aORtxJ94hNduxf4VUBgdtKndDzFYEPWMQFNHoEA9qX-Cc2svq_kegsLq9TMgUs-5FncWD0xWWiJ-XMj2RIFzLP3Geyl_DVEOErzqLoOTXmNEqajbHBwNNoXsLe8wKZTVF3Z" style="margin-left: 0px; margin-top: 0px;" width="578" /></span></span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">A partir del uso de la tecnología, reconocemos los procesos de reproducción celular, tanto en unicelulares como en pluricelulares, lo cual es un gran avance para la medicina. </span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">REPRODUCCIÓN CELULAR</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Significado Biológico de la Mitosis</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Todos los organismos vivos utilizan la división celular, bien como mecanismo de reproducción, o como mecanismo de crecimiento del individuo. Los seres unicelulares utilizan la división celular para la reproducción y perpetuación de la especie, una célula se divide en dos células hijas genéticamente idénticas entre sí e idénticas a la original, manteniendo el número cromosómico y la identidad genética de la especie. En organismos pluricelulares la división celular se convierte en un proceso cíclico destinado a la producción de múltiples células, todas idénticas entre sí, pero que posteriormente pueden derivar en una especialización y diferenciación dentro del individuo.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="color: #274e13; font-size: 15pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">INTERFASE</span><span style="color: #274e13; font-size: 15pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">:</span><span style="color: #274e13; font-size: 15pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> Duplicación del material genético previo a la división celular.</span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 235px; overflow: hidden; width: 305px;"><img height="235" src="https://lh5.googleusercontent.com/xnSf7HLDvXfiNPtZsi5K9CgeFnPIoE4hT7Y54WO9G0RFN1KldbW5z4u4S8s-nh221ScGGJw1QpWOSop7f-2pY-6gsFL0E6sewwAWak-WU4xPQvLi5PdeARvgrf5zUO1V_671AmcJ" style="margin-left: 0px; margin-top: 0px;" width="305" /></span></span></p><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="color: #274e13; font-size: 15pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">MITOSIS</span><span style="color: #274e13; font-size: 15pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">: Se lleva a cabo en células somáticas</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En los organismos pluricelulares, este proceso de reproducción celular, se lleva a cabo para reparar tejido dañado, reemplazar células muertas o para el crecimiento. En los unicelulares, ayuda a perpetuar la especie. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 199px; overflow: hidden; width: 665px;"><img height="199" src="https://lh5.googleusercontent.com/-nAnBr6j1_Vg1l_Ik_fn9GV--pW2ZBqPlILjflJHVfgGb_N1wZ6h8cEruIn3P1gt3YrUAZIfFxFKUnClQlRG-LF-as9VWeLc7u-BX_xo8XfrAiBomM4mwoqbGkGYJokx4ayLJZFz" style="margin-left: 0px; margin-top: 0px;" width="665" /></span></span></p><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="color: #274e13; font-size: 15pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">MEIOSIS</span><span style="color: #274e13; font-size: 15pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">: Ocurre en células gaméticas o sexuales</span></p><p dir="ltr" style="line-height: 1.9636363636363636; margin-bottom: 6pt; margin-top: 5pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Este proceso se realiza en las glándulas sexuales para la producción de gametos. Es un proceso de división </span><a href="http://es.wikipedia.org/wiki/C%C3%A9lula" style="text-decoration-line: none;"><span style="color: black; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">celular</span></a><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> en el cual una célula</span><a href="http://es.wikipedia.org/wiki/Diploide" style="text-decoration-line: none;"><span style="color: black; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="color: black; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">diploide</span></a><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> (2n) experimenta dos divisiones sucesivas, con la capacidad de generar cuatro células </span><a href="http://es.wikipedia.org/wiki/Haploide" style="text-decoration-line: none;"><span style="color: black; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">haploides</span></a><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> (n).En los organismos con reproducción sexual tiene importancia ya que es el mecanismo por el que se producen los óvulos y espermatozoides (gametos). </span></p><p dir="ltr" style="line-height: 1.9636363636363636; margin-bottom: 6pt; margin-top: 5pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Este proceso se lleva a cabo en dos divisiones nucleares y citoplasmáticas, llamadas primera y segunda división meiótica o simplemente meiosis I y meiosis II. Ambas comprenden profase, metafase, anafase y telofase.</span><span style="border: none; display: inline-block; height: 351px; overflow: hidden; width: 665px;"><img height="351" src="https://lh6.googleusercontent.com/xzKw327s2CSLRYxYeEp2BuBIqCAJTSXV82Mej_KYg7jpRF5KNcHrwPD7vSMqzRhF8JUnAwzpGKgf5IR9gYrvHDagSPCcUOxRESIkju-sywg_iuuLCPCTpcOIkHF_bLJ2Isbr4VDg" style="margin-left: 0px; margin-top: 0px;" width="665" /></span></p><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">La espermatogénesis y Ovogénesis son ejemplos de la Meiosis. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 513px; overflow: hidden; width: 527px;"><img height="513" src="https://lh4.googleusercontent.com/ASiO4Ng4nmAdprc-tCuWRThB2UoJBVcRXemLRqDmsLsnMMQJEUu_cwf780JBPAKm5gNIOdQWk6QdcYOVgNbk9_803gQyORCLM5HHFeFBlEqp5BXiJLZmU-iG3eYThALn_KGHklOD" style="margin-left: 0px; margin-top: 0px;" width="527" /></span></span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En conclusión, en la mitosis, la célula es capaz de dividirse en dos células hijas idénticas a su progenitora; se realiza en las siguientes etapas: profase, metafase, anafase, y telofase. La mitosis es un proceso de reproducción celular característico de células que forman los tejidos en los seres vivos. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La meiosis se realiza en las glándulas sexuales para la producción de gametos. Es un proceso de división celular en el cual una célula diploide (2n) experimenta dos divisiones sucesivas, con la capacidad de generar cuatro células haploides (n). En los organismos con reproducción sexual tiene importancia ya que es el mecanismo por el que se producen los óvulos y espermatozoides (gametos). </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Las células a partir de la división celular pueden formar tejidos, animales o vegetales, que se organizan en órganos, los cuales constituyen sistemas y éstos a su vez conforman un organismo.</span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="color: #073763; font-size: 12pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">Realiza los siguientes ejercicios: </span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">6. La etapa del método científico en la que usted realiza una predicción del resultado, es llamada: </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">A.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Diseño experimental.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">B.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Análisis de resultados.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">C.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Planteamiento de una pregunta.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">D.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Hipótesis.</span></p><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">7. Marca con una X según corresponda: </span></p><div align="left" dir="ltr" style="margin-left: 0pt;"><table style="border-collapse: collapse; border: none; table-layout: fixed; width: 555.3070866141732pt;"><colgroup><col width="240"></col><col width="133"></col><col width="124"></col><col></col></colgroup><tbody><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">MITOSIS</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">MEIOSIS</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">INTERFASE</span></p></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En células somáticas.</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En células gaméticas o sexuales.</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Se duplica el material genético.</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Dos células hijas diploides.</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Cuatro células hijas haploides.</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Origina los gametos.</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Permite el crecimiento de los organismos, reemplaza células dañadas o muertas.</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr><tr style="height: 38.25pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-family: Arial; font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Dos divisiones celulares sucesivas. </span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr></tbody></table></div><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">8. Un estudiante inclinó una matera y al cabo de una semana observó lo que se muestra en la siguiente figura:</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 153px; overflow: hidden; width: 497px;"><img height="153" src="https://lh3.googleusercontent.com/E4DU2Zoima1upBIFtlxKcu4Gnrvs8n1cAmnqh5glylPQNMvcgIsdd-AaiBgTmPFUJZhJmA8-PaLBXWHA4VDzEyAYtpxiC28tNAikF05bpScQPbQ89_ddGKU_s6z1tPIapAa0wn2Q" style="margin-left: 0px; margin-top: 0px;" width="497" /></span></span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Teniendo en cuenta los resultados del experimento, el crecimiento del tallo y de las raíces en la segunda semana, se debe a que: </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">A. </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Disminuyó la mitosis en las raíces y en el tallo.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">B.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Aumentó la mitosis en las raíces y en el tallo.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">C.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Disminuyó la mitosis en las raíces y aumentó en el tallo.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">D. </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Aumentó la mitosis en las raíces y disminuyó en el tallo.</span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Contesta las siguientes preguntas de acuerdo al texto: </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 14pt; margin-right: -4.842519685039292pt; margin-top: 14pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Para todos es muy importante aprender, estar aprendiendo siempre y esto lo podemos hacer en muchas ocasiones a lo largo de un día cualquiera, no sólo en el colegio, también en casa, en la calle... Si quiero saber más tengo que escuchar a otros: a los padres, a los profesores, a otros niños... Debemos aprender a valorar el trabajo bien hecho, para estar satisfechos de nosotros mismos y hacer sentir bien a los demás. </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 14pt; margin-right: -4.842519685039292pt; margin-top: 14pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Cuando vamos al médico nos gusta que acierte con lo que tenemos y nos cure pronto. Nos agrada que los dueños de las tiendas sepan traer buenos productos y tengan lo que les pedimos y así podríamos seguir diciendo de todos los trabajos y profesiones. Entonces nosotros mismos no podemos ser "chapuceros" porque los demás esperan también que les ayudemos y para eso nos preparamos aprendiendo todo lo que podemos. </span></p><br /><br /><span style="border: none; display: inline-block; height: 206px; overflow: hidden; width: 153px;"><img height="206" src="https://lh5.googleusercontent.com/B8qgfrRKUMCjCcaHBxI9recME9k23EkN3qSIkBxSZAG1keKOit2Pqo9zoLJl-WzKlMxFDtSU8ZAOSQ1vsI7qeBRA3evGZqW0n5744bFKMXLLIhZxrRXpwE1wdmjmbClAOUsB966Z" style="margin-left: 0px; margin-top: 0px;" width="153" /></span><p dir="ltr" style="line-height: 1.2; margin-bottom: 14pt; margin-right: 36pt; margin-top: 14pt;"><span style="font-size: 12pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">El doctor Hazo </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 14pt; margin-right: 36pt; margin-top: 14pt;"><span style="font-size: 12pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">¿Lo conoces? Es un médico estupendo. </span></p><p dir="ltr" style="line-height: 1.2; margin-bottom: 14pt; margin-right: 36pt; margin-top: 14pt; text-align: justify;"><span style="font-size: 12pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">"El hermanito pequeño de Inés estaba enfermo y le dolía la barriguita. Tenía mucha fiebre. Llegó la abuela y le dio una pomada. También entró la vecina de al lado y le hizo tomar un caldo. Otras personas intentaron remediar el mal, pero el niño estaba cada vez peor; hasta que llegó el doctor Hazo. Lo auscultó, le puso el termómetro y al final le recetó un jarabe con el que rápidamente mejoró. El doctor Hazo estudió mucho y por eso, pudo ayudar tanto al hermanito de Inés".</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">9. ¿Por qué las vecinas no curaron al niño y por qué sí lo hizo el doctor Hazo?</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">A.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Las vecinas no estudiaron medicina, por esta razón no cuentan con los conocimientos necesarios para hacer un diagnóstico de la enfermedad del niño. A su vez, no tienen los avances tecnológicos adecuados para auscultar y formular medicamentos. El doctor Hazo, tiene conocimientos científicos, ya que fue a la universidad, aprendió mucho y conoce las herramientas tecnológicas para diagnosticar y curar las enfermedades. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">B.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> No debemos automedicarnos ya que es un riesgo para la salud, es necesario tener un seguro y acudir a las citas médicas. Tomar los remedios que recomiendan los vecinos, algunas veces tiene consecuencias graves como efectos secundarios, reacciones adversas, intoxicación, falta de efectividad, dependencia, adicción, entre otros. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">C.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Es importante acudir al médico, ya que nos ayuda a detectar una patología a tiempo para tener la posibilidad de controlarla, eliminarla y/o minimizar el daño ya causado por alguna enfermedad, además de prevenir riesgos. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">D.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> El doctor Hazo, es un profesional que, tras cursar los estudios necesarios y obtener el título correspondiente, cuenta con una autorización legal para ejercer la medicina. Su función principal es cuidar la salud del paciente y aliviar su </span><a href="https://es.wikipedia.org/wiki/Sufrimiento" style="text-decoration-line: none;"><span style="color: black; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">sufrimiento</span></a><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">10. ¿Qué avances científicos usó el doctor Hazo para ayudar al niño?</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">A.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="background-color: #fdfdfd; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Termómetro, bajalenguas, tensiómetro, otoscopio. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">B.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> El doctor Hazo solo usó el termómetro y un jarabe. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">C.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Cuando el doctor llegó el niño ya estaba recuperado. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">D.</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Estetoscopio, termómetro, oxímetro de pulso, báscula, bajalenguas, tensiómetro, martillo de reflejos, linterna médica, otoscopio, medicamento</span><span style="background-color: #fdfdfd; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">s. </span></p><br /><div align="left" dir="ltr" style="margin-left: -5.4pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="747"></col></colgroup><tbody><tr style="height: 0pt;"><td style="background-color: #073763; border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0pt 5.4pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="background-color: transparent; color: white; font-family: Calibri, sans-serif; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">CIENCIAS NATURALES FÍSICA</span></p></td></tr></tbody></table></div><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: #212529; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La fuerza es un factor de nuestro cuerpo, que podemos modificar. Si se hace el tipo adecuado de entrenamiento, se puede aumentar la fuerza como capacidad física y obtener una masa muscular saludable..</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Actividades como el ejercicio, ayudan a mantener la salud mental y física del ser humano. </span></p><br /><br /><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Entre los beneficios más importantes se destacan: </span></p><br /><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Combate el sedentarismo,</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Impulsa a una vida activa,</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Enseña a aprovechar el tiempo libre,</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Mejora la autoestima,</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Estimula el trabajo en equipo,</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Aumenta la creatividad y la capacidad afectiva,</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Disminuye la ansiedad, el estrés, la agresividad y la depresión.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Fomenta valores como la tolerancia, el respeto, la solidaridad y la responsabilidad.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ayuda a mantener el sistema óseo y muscular saludable. </span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Ayuda a corregir la postura, así como a mantener el control y equilibrio del cuerpo. Y a prevenir o reducir la incidencia de problemas de salud relacionados con el corazón, la regulación del metabolismo, el peso y los problemas musculares, mejorando la calidad de vida.</span></p></li></ul><br /><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">CONCEPTO DE FUERZA</span></p><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Una fuerza es la acción de un cuerpo sobre otro, estas interacciones pueden ser: fuerzas a distancia sin contacto (por ejemplo, la atracción entre la tierra y la luna), o fuerzas de contacto (por ejemplo, si damos un puntapié a un balón).</span><span style="border: none; display: inline-block; height: 295px; overflow: hidden; width: 393px;"><img height="295" src="https://lh3.googleusercontent.com/aabM1OQl_4H3-xTy-IiCKpB0NOM8IIptm3WbV_vKZx-Qk9d18DQwXS1lomw_T1DTMptQe_ZDsMWW3rVRDQ_zLEhtdIIZnBZ4VgkXUF-CLSXwDup9HQ5OyojI4jJlm0R4SFSwfuRm" style="margin-left: 0px; margin-top: 0px;" width="393" /></span></p><br /><br /><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Fuerzas de contacto: aquellas en las que las fuerzas actúan, cuando los cuerpos se tocan, ejemplos: choques, colisiones, contactos, presión de un cuerpo sobre otro, etc. </span></p><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Fuerzas a distancia: Actúan desde lejos, es decir sin que los cuerpos lleguen a tocarse, ejemplos: fuerzas gravitatorias, eléctricas, magnéticas, etc.</span></p><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Los resultados de la acción de una fuerza son de dos tipos: Cambios de forma y Cambios de velocidad. </span></p><br /><span style="border: none; display: inline-block; height: 173px; overflow: hidden; width: 279px;"><img height="173" src="https://lh3.googleusercontent.com/_oLPJQ3qrWUe7goCpRfCMercQEadIcHM0O7Otcl4SNDQg8Vn4OJZRfpWpjUEg7zQgHz49E59FR-oAk4oTuXvsMCOxaaGtA_8_vsWYYzZa4iyMvCH_ginNYQISmYw9k93VvENbJ5R" style="margin-left: 0px; margin-top: 0px;" width="279" /></span><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 188px; overflow: hidden; width: 278px;"><img height="188" src="https://lh5.googleusercontent.com/t6gimJMeKp5Z7zUbA3mzkRFnnin5gkMWlWi4efJa1c7_z47iieO_OrKxCts6L8XEnNAsIkgqFAgDYVDgzKiB5ZYydgHnUwo_iv_Hobh0GGRhFRuckw-PYwEHPy0dT3C6i87zoyr0" style="margin-left: 0px; margin-top: 0px;" width="278" /></span></span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Cambios de forma: como al moldear plastilina. Cambios de velocidad: como al acelerar</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> o frenar un vehículo.</span></p><br /><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Aunque a veces, parece que las fuerzas no producen efectos. Por ejemplo al empujar la pared de un edificio no se mueve o si intentamos doblar una viga de acero no lo conseguimos; ya que si las fuerzas que actúan están igualadas, se anulan.</span></p><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Cuando la fuerza que ejercemos iguala pero no consigue superar a otras fuerzas, no hay resultados observables. Una de estas fuerzas es la fuerza de rozamiento.</span></p><br /><span style="border: none; display: inline-block; height: 170px; overflow: hidden; width: 283px;"><img height="170" src="https://lh4.googleusercontent.com/oKLFDQJAT4lpNTKyZlUgP6bhhe67TnUAnqYUf-0bdydUP4X1Zg-RKRV4GmkivOFa2pE4IQEQbaxG-PB7r4O01jlvCjvLxtMRm4UsMs1Xvr0NWO5bCmkbv0E1F0ZvZ7LcVbBXTVu2" style="margin-left: 0px; margin-top: 0px;" width="283" /></span><br /><br /><span style="border: none; display: inline-block; height: 101px; overflow: hidden; width: 364px;"><img height="101" src="https://lh5.googleusercontent.com/qfpjzFV02OBS5FpyDryXV9ebh3NDO-NeH4lHt2wpUgIwP7GCNrVwEF4nYdQrhqgP95kPbF2AYwTIFNDEFYtErTNhAyyYArvXYdh6j0rTxVYskJ-HYh1oTtL0OhmKk1mAJbcfP1Hj" style="margin-left: 0px; margin-top: 0px;" width="364" /></span><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">REPRESENTACIÓN DE LAS FUERZAS</span></p><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Las fuerzas se representan por medio de vectores (flechas), puesto que una fuerza posee magnitud, dirección y sentido; y estas tres variables se representan por medio de flechas. </span></p><br /><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El tamaño de la flecha representa la intensidad o magnitud de la fuerza. Cuanto más larga sea la flecha, mayor será la fuerza. </span></p></li></ul><br /><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La inclinación de la flecha , nos indica la dirección u orientación con la cual se ejerce la fuerza: horizontal, vertical y oblicuamente. </span></p></li></ul><br /><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El sentido de la fuerza es indicada por la punta de la flecha, indicándonos de esa manera hacia dónde se dirige la fuerza: arriba, abajo, izquierda o derecha. </span></p></li></ul><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 190px; overflow: hidden; width: 376px;"><img height="190" src="https://lh3.googleusercontent.com/myn1ccpyJ3BGVB4UOsahBif4S2HVpcbR-lfqusPZz7scqn8gl3jMEpwesd5GeCCYYHIdSMsFWYpYetGbVeg4P9FelyJlxh65ltkwBtR3SZf8qqAUSUiWIMnwyoyPe0wSKa_dMuJy" style="margin-left: 0px; margin-top: 0px;" width="376" /></span></span></p><br /><br /><br /><br /><br /><br /><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Para medir fuerzas se usan los aparatos llamados dinamómetros. En el Sistema Internacional, la unidad de fuerza es el newton, cuyo símbolo es N. </span></p><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Un newton es la fuerza que aplicada a una masa de 1 kilogramo la acelera 1 m/s</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 0.6em; vertical-align: super;">2</span></span></p><br /><span style="border: none; display: inline-block; height: 450px; overflow: hidden; width: 185px;"><img height="450" src="https://lh6.googleusercontent.com/jmUe2ZRyz6jWqrRaTOZNTbKwcHdpD4hgLu54nGs3UPmJ3J3NPi0VYGCbpiLOLmcY9pdmCre7kj0codh4s_aWeKMTIoedXVMn9oyu4infWz-eWgHyxKdBeu2BWgCmsUvuohPaR3yl" style="margin-left: 0px; margin-top: 0px;" width="185" /></span><span style="border: none; display: inline-block; height: 378px; overflow: hidden; width: 401px;"><img height="378" src="https://lh4.googleusercontent.com/UHMteQaHVYsExt7gDK92hEIbkVmk1fzd3LHlsRwzPO6Xs-zmrRiQrF-g-6WNosIJj8f_oZVtz-fio59YH3o0Ff8A1Qc-_vExYAN-3JORXuElZcwea8nyDoxGyCEVS0_qE8kaHVDM" style="margin-left: 0px; margin-top: 0px;" width="401" /></span><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En un sólido, los cambios de forma que provocan las fuerzas pueden ser:</span></p><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Elásticos, si el cuerpo recupera la antigua forma cuando cesa la fuerza.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Plásticos, cuando el cuerpo adopta la nueva forma y no recupera la forma antigua cuando cesa la fuerza.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Roturas, si el cuerpo se fragmenta a causa de la fuerza.</span></p></li></ul><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Según lo anterior los cuerpos se pueden clasificar, según su comportamiento ante las fuerzas, en:</span></p><br /><div align="left" dir="ltr" style="margin-left: 0pt;"><table style="border-collapse: collapse; border: none; table-layout: fixed; width: 555.3070866141732pt;"><colgroup><col></col><col width="167"></col><col width="213"></col><col width="173"></col></colgroup><tbody><tr style="height: 128.25pt;"><td rowspan="2" style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /><span style="border: none; display: inline-block; height: 137px; overflow: hidden; width: 137px;"><img height="137" src="https://lh6.googleusercontent.com/_tE2RJYbDFJt1o4WBKdoe03jSdFBCTf-1cLcIlYsrhX-1gPbtKFlZhuta1djmf4jNtPaMTYW2JnLjii1KgFF9KHxpBCstMouFfn3aN-_vJhk_87dEZ7Sbt857LZw86wpa6Vwsf4C" style="margin-left: 0px; margin-top: 0px;" width="137" /></span><span style="border: none; display: inline-block; height: 137px; overflow: hidden; width: 137px;"><img height="137" src="https://lh6.googleusercontent.com/_tE2RJYbDFJt1o4WBKdoe03jSdFBCTf-1cLcIlYsrhX-1gPbtKFlZhuta1djmf4jNtPaMTYW2JnLjii1KgFF9KHxpBCstMouFfn3aN-_vJhk_87dEZ7Sbt857LZw86wpa6Vwsf4C" style="margin-left: 0px; margin-top: 0px;" width="137" /></span><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Elásticos,</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> si recuperan de nuevo su forma, como el caucho.</span></p></td><td rowspan="2" style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /><span style="border: none; display: inline-block; height: 118px; overflow: hidden; width: 146px;"><img height="118" src="https://lh3.googleusercontent.com/AgHUokhBOIsW5U1enR5TFK42eaqjKrzbsPHDaWCheVIaLL4L_TpkHWtMKXCwg8B-1rGEI0UeD8uloXac9WmYX-zqvi81o41smlBFy-5p3NedzOQMf7OCH1FL8UMRg_9-U3sDk0ZV" style="margin-left: 0px; margin-top: 0px;" width="146" /></span><span style="border: none; display: inline-block; height: 118px; overflow: hidden; width: 146px;"><img height="118" src="https://lh3.googleusercontent.com/AgHUokhBOIsW5U1enR5TFK42eaqjKrzbsPHDaWCheVIaLL4L_TpkHWtMKXCwg8B-1rGEI0UeD8uloXac9WmYX-zqvi81o41smlBFy-5p3NedzOQMf7OCH1FL8UMRg_9-U3sDk0ZV" style="margin-left: 0px; margin-top: 0px;" width="146" /></span><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Plásticos,</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> si conservan la deformación, como la plastilina.</span></p></td><td rowspan="2" style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /><span style="border: none; display: inline-block; height: 100px; overflow: hidden; width: 170px;"><img height="100" src="https://lh5.googleusercontent.com/oNpiC3A8-dhOHKrNnvm1lovI_XgjZIwqCjrSkkoXAlNMZiFkbP3FCD07ycln1W3tfx6cwya7W0jWCf5ww6g2YN22lOjANGOrb97CGtYsullu06Sk-HWVesRPweIfXgklzB8Qpar1" style="margin-left: 0px; margin-top: 0px;" width="170" /></span><br /><span style="border: none; display: inline-block; height: 100px; overflow: hidden; width: 170px;"><img height="100" src="https://lh5.googleusercontent.com/oNpiC3A8-dhOHKrNnvm1lovI_XgjZIwqCjrSkkoXAlNMZiFkbP3FCD07ycln1W3tfx6cwya7W0jWCf5ww6g2YN22lOjANGOrb97CGtYsullu06Sk-HWVesRPweIfXgklzB8Qpar1" style="margin-left: 0px; margin-top: 0px;" width="170" /></span><br /><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Rígidos,</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> si las deformaciones son imperceptibles, como en las rocas.</span></p></td><td rowspan="2" style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 79px; overflow: hidden; width: 140px;"><img height="79" src="https://lh3.googleusercontent.com/S9piyd3UhjAftzBEdF4-MmLbtFBviVkPGbocw0rEGlo5BzCeJmUM1S4Y3PVZAspu-yhGx0e_Knb2xDybvFcDyYLSzkH8fsbTFhEnFyybc_iQNHc-GZDLSvSrzxEiNWnhfIQe0Y7s" style="margin-left: 0px; margin-top: 0px;" width="140" /></span></span></p><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Frágiles,</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> si al presionarlos se rompen, como el vidrio.</span></p></td></tr><tr style="height: 22pt;"></tr></tbody></table></div><br /><br /><br /><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Siempre que veamos a un cuerpo cambiar su movimiento, debemos pensar en la acción de fuerzas.</span></p><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Cuando un coche acelera, frena o toma una curva lo hace gracias a fuerzas del motor, de los frenos, del volante, de los neumáticos sobre la carretera o de todas a la vez.</span></p><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 244px; overflow: hidden; width: 450px;"><img height="244" src="https://lh5.googleusercontent.com/LTZvK0stCaF7-Vvmdhcqn_iTme7YHKHTRtmgTicTGO2Ay1MQDj5wjmNuSzjZyzJkNwVMDyb6IP43v8gIYmsdKNNGuptRVR6V8450f3DhA2FLcJePZhmljUbmLMx1E6YuYWfZNYYf" style="margin-left: 0px; margin-top: 0px;" width="450" /></span></span></p><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Un efecto de la fuerza es la alteración del movimiento de los cuerpos. Aplicando fuerzas podemos poner en movimiento un cuerpo que estaba en reposo; aumentar la velocidad de un cuerpo que ya estaba en movimiento; frenar o disminuir la velocidad de un cuerpo, incluso detenerlo; y hacerle cambiar la dirección en la que se movía. </span></p><br /><p dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La dinámica es la parte de la física que estudia la relación entre las fuerzas y el movimiento de los cuerpos, mediante las leyes de Isaac Newton.</span></p><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="color: #073763; font-size: 12pt; font-style: italic; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">Actividad: </span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 328px; overflow: hidden; width: 492px;"><img height="328" src="https://lh4.googleusercontent.com/7_KGVP4GBl_Bnw9q7w3ykRoyE7b73ZzEcvxFn0KLnEM_hR3WTpiT1S9bddHSNGEGVoml5zA2bIHCMJHZ0SwHzM7wgY5ZROzFPsummpdqIc-N2pD4KCnUNY3VBaaiTSod40Z6ZI3t" style="margin-left: 0px; margin-top: 0px;" width="492" /></span></span></p><br /><br /><br /><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">11. Colorea según corresponda: </span></p><br /><div align="left" dir="ltr" style="margin-left: 0pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="257"></col><col width="206"></col><col width="240"></col></colgroup><tbody><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">FUERZA DE CONTACTO</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">FUERZA A DISTANCIA</span></p></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Empujar carrito de supermercado.</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr><tr style="height: 26.595703125pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Puntillas e Imán. </span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 31px; overflow: hidden; width: 224px;"><img height="31" src="https://lh6.googleusercontent.com/r4O-xc3_PzuaEYjKAmTVfoKmD65Up9b2lDq6I3GLArLAZOD_lJKYhaNhA-N7dmBOvLFWAbY_uhfhbiyiP13TYpaZNTwY7iQ7uhTz6pBZU1_Tkt9ThextS0PMqcaoqSF_UlOYROXE" style="margin-left: 0px; margin-top: 0px;" width="224" /></span></span></p></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Cabello atraído por un globo. </span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Paracaidistas. </span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Levantar pesas.</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr><tr style="height: 0pt;"><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.2; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Sacar agua de un pozo.</span></p></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td><td style="border-bottom: solid #000000 1pt; border-left: solid #000000 1pt; border-right: solid #000000 1pt; border-top: solid #000000 1pt; overflow-wrap: break-word; overflow: hidden; padding: 5pt 5pt 5pt 5pt; vertical-align: top;"><br /></td></tr></tbody></table></div><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">12. Relaciona con una flecha: </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 523px; overflow: hidden; width: 349px;"><img height="523" src="https://lh6.googleusercontent.com/vK32iuRTH0I0xqsNaig-o8KhQvvYteJv2bqVPsLlt3x_KIOjIFJhiVQ6b_D0c6l6ourkTvkKKS0s3V-b_m8_wr_2t0ip_QwTssYx4sPDarxtpOhHBtDHzhz4RKvAbVhLyzQ3HO69" style="margin-left: 0px; margin-top: 0px;" width="349" /></span></span></p><br /><br /><br /><br /><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">13. Escribe Falso (F) o Verdadero (V): </span></p><ol style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: upper-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Debemos comer sanamente para tener una vida libre de enfermedades. (___). </span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: upper-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Te puedes enfermar al no realizar ejercicio físico. (___). </span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: upper-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El ejercicio físico no contrarresta los efectos de la vida sedentaria, ni disminuye el estrés. (___). </span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: upper-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El sedentarismo tiene efectos negativos en la calidad de vida de los seres humanos. (___). </span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: upper-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Para mejorar el estado de ánimo, no es necesario realizar ejercicio físico. (___). </span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: upper-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="background-color: white; color: #212529; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Es posible aumentar la fuerza como capacidad física y obtener una masa muscular saludable. </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">(___). </span></p></li></ol><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">14. Carlos está halando una carreta, identifica, representa y escribe la dirección, magnitud y sentido (Recuerda que es por medio de flechas). </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 217px; overflow: hidden; width: 305px;"><img height="217" src="https://lh4.googleusercontent.com/M7lMk0_e7RWtea2pCfJp-4mIkHg3DOuoJeJSLdwqCSHUHw5hD8H0AR9IccjrMlaiwKwWYx4TWiEflNqK7rDxyDBWA6E69R27biMyKe5JRUQRcyB3ThK0tK1BcNwGY64o7tZGhiJj" style="margin-left: 0px; margin-top: 0px;" width="305" /></span></span></p><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Dirección: </span></p><ol style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">Horizontal.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">Vertical.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">Oblicua.</span></p></li></ol><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Magnitud: </span></p><ol style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">Media.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">Fuerte.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">Baja. </span></p></li></ol><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Sentido: </span></p><ol style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">Arriba.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">Abajo. </span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">Izquierda.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: lower-alpha; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">Derecha</span></p></li></ol><br /><br /><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">15. ¿Cúal es el avance tecnológico que le permite al médico, medir la fuerza muscular y así cuidar la salud de los pacientes?</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">A. </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La balanza. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">B. </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El tensiómetro. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">C. </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El dinamómetro. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 21.259842519685044pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">D. </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> El e</span><span style="background-color: #fdfdfd; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">stetoscopio.</span></p><br /><br /><div align="left" dir="ltr" style="margin-left: -5.4pt;"><table style="border-collapse: collapse; border: none;"><colgroup><col width="747"></col></colgroup><tbody><tr style="height: 0pt;"><td style="background-color: #073763; border-bottom: solid #000000 0.5pt; border-left: solid #000000 0.5pt; border-right: solid #000000 0.5pt; border-top: solid #000000 0.5pt; overflow-wrap: break-word; overflow: hidden; padding: 0pt 5.4pt 0pt 5.4pt; vertical-align: top;"><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt; text-align: center;"><span style="background-color: transparent; color: white; font-family: Calibri, sans-serif; font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">TECNOLOGÍA E INFORMÁTICA</span></p></td></tr></tbody></table></div><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Objetivo: </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Identificar las opciones básicas de Word para la elaboración de escritos de acuerdo con temáticas relacionadas con salud y bienestar. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Microsoft Word: </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">es un programa informático orientado al procesamiento de textos. Fue creado por la empresa Microsoft, y viene integrado de manera predeterminada en el paquete ofimático denominado Microsoft Office.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">¿A qué se refiere con el procesamiento de texto?, quiere decir que podemos construir un escrito y modificarlo cuantas veces queramos, cambiando desde el tipo de letra, hasta el color de la hoja, entre muchas más cosas.</span></p><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: disc; margin-left: -18pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Tipo de letra o fuente: </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">Un tipo de letra es un conjunto de caracteres del mismo diseño. Estos caracteres incluyen letras, números, signos de puntuación y símbolos. Algunos tipos de letra populares incluyen Arial, Helvética, Times y Verdana. Si bien la mayoría de las computadoras vienen con una docena de tipos de letra instalados, hay miles de tipos de letra disponibles.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: disc; margin-left: -18pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Negrilla: </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">En tipografía, la negrita o negrilla 1 es un estilo tipográfico en el que los caracteres tienen un trazo más grueso (en comparación con los caracteres de tipografía redonda normal del mismo tamaño). Es empleada principalmente para que sobresalga o se enfatice una parte del texto.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: disc; margin-left: -18pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La alineación de texto: </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">Se usa para acomodar las palabras y los párrafos de acuerdo con un orden lógico. De esta manera se logra que la redacción presente un aspecto prolijo y sea agradable a la lectura.</span></p></li></ul><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Los tipos de alineación que puedes usar en un texto de Word son los siguientes:</span></p><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Izquierda: </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Se puede alinear todo el contenido al margen izquierdo de la hoja de esta manera facilita la lectura del documento.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Centrado: </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Utiliza ambos márgenes de la hoja y centra todo el párrafo o texto de acuerdo con el espacio usado. De esta manera podrás ver que el centro de la hoja será el eje de simetría.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Derecha: </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Es igual a la primera alineación que hemos nombrado, pero se justifica para la derecha. A este tipo de justificación lo podrás usar para secciones pequeñas de contenido, por ejemplo, cuando necesites hacer un encabezado o pie de página.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Homogénea o Justificada: </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La alineación que utilizarás con este tipo de justificación es simétrica tanto para el margen izquierdo como derecho. Con esto podrás encontrar un texto prolijo de ambos lados, siendo muy útil para usar en redacciones para diarios o revistas en donde se necesite respetar columnas.</span></p></li></ul><br /><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 11pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: disc; margin-left: -18pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Numeración y viñetas: </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">La función Numeración y Viñetas en Word es muy útil, pues nos ayuda a crear listas de una manera muy rápida y fácil. También para identificar y puntualizar ideas o comentarios que deseamos estructurar.</span></p></li></ul><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 196px; overflow: hidden; width: 244px;"><img height="196" src="https://lh3.googleusercontent.com/XRQMaqzg3UeFeueQsBUFxdFqy5gT68a02cEcQh9pRo6cC6ly1zxJE4Yt0CnPHA0OAX5qoGmc-ntbZrkVoH6yK41Awu_nOOO1DYMVA55Jb8QrlEXpTRZEr12-KxgZPUi727rTQZ6z" style="margin-left: 0px; margin-top: 0px;" width="244" /></span></span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 13pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">La postura correcta para sentarse frente a la computadora</span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">¿Trabajas por horas sentado frente a la computadora? </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Las personas que trabajan en una oficina suelen pasar la mayor parte de su tiempo sentados frente a la computadora, y en muchas ocasiones adoptan posturas incorrectas, las cuales pueden acarrear problemas de salud o molestias a corto y largo plazo.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Pasar horas al día sentados frente a la computadora en una mala postura puede ser perjudicial para tu salud. Dolores de espalda, cuello, hombros y cabeza, molestias en codos, piernas y ojos, problemas digestivos, respiratorios y cardiovasculares, y hasta serias lesiones o problemas de columna pueden ser producto de una mala postura.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">A continuación, encontrará el </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">enlace </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">de la información completa acerca de la postura correcta para responder los siguientes puntos: </span><img aria-roledescription="Dibujo" height="44" src="https://docs.google.com/drawings/u/0/d/s18prsJYILkTMw68BAgz7vA/image?w=30&h=44&rev=1&ac=1&parent=1WkwgeJx3ftkuHo6drMCEQMMb7XBssKisym12lfzYZSE" style="border: none;" width="30" /></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-top: 12pt; text-align: justify;"><a href="https://megaricos.com/2020/01/10/la-postura-correcta-para-sentarse-frente-a-la-computadora/#:~:text=%20La%20postura%20correcta%20para%20sentarse%20frente%20a,manos.%20Los%20brazos%20y%20los%20antebrazos...%20More" style="text-decoration-line: none;"><span style="color: #073763; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">La postura correcta para sentarse frente a la computadora (megaricos.com)</span></a></p><br /><ol style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">Realizar un resumen de la información registrada en el anterior enlace. </span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">De acuerdo con el trabajo desde la virtualidad, ¿cuáles molestias corporales ha tenido? ¿Qué ha hecho para evitar problemas de mala postura o dolores durante y después del trabajo en la virtualidad? Responde con respecto a usted y a un familiar. </span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">Enumere los otros consejos que dan en el enlace relacionados con una buena postura.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: decimal; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 400; vertical-align: baseline; white-space: pre-wrap;">Para realizar los anteriores puntos debe utilizar las siguientes opciones en Word:</span></p></li></ol><br /><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: 45.7795pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Tipo de letra: Calibri</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: 45.7795pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Tamaño de letra: títulos y subtítulos: 14, texto: 12</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: 45.7795pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Dar color a los títulos, diferente al texto</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; margin-left: 45.7795pt; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Tomar fotografías suyas mostrando como debe ser la posición correcta para sentarse</span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"><br /></span></p></li></ul><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 12pt; margin-left: 63.77952755905511pt; margin-top: 12pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> </span></p><br /><br /><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">PROBLEMAS DE APLICACIÓN</span></p><br /><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Situación problema interdisciplinar asociada al ODS Vacunas</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">AVANCE 1 PRODUCTO FINAL </span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">SUGERENCIA DE MATEMÁTICAS:</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">TEMA: LAS VACUNAS</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">PERIODO 1. Pregunta orientadora: ¿ Qué conozco acerca de las vacunas?</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Producto: Periodico digital en formato word, en el que se presente: </span></p><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Un artículo de opinión o reflexión</span></p></li><li aria-level="1" dir="ltr" style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Un artículo “científico” sobre algunas de las preguntas problema: </span></p></li></ul><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 36pt; margin-top: 0pt;"><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">¿Qué son las vacunas?</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 36pt; margin-top: 0pt;"><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">¿Qué enfermedades tienen vacuna y cuáles no?</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 36pt; margin-top: 0pt;"><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">¿Cómo se produce una vacuna?</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-left: 36pt; margin-top: 0pt;"><span style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">¿Cuáles son las cifras de vacunados de cada enfermedad a nivel mundial?</span></p><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Una noticia de actualidad acerca del proceso de vacunación a nivel mundial</span></p></li><li aria-level="1" dir="ltr" style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Una noticia sobre la vacunación en Colombia</span></p></li><li aria-level="1" dir="ltr" style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Una caricatura, comic o meme sobre el proceso de vacunación </span></p></li><li aria-level="1" dir="ltr" style="color: red; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Sección de anuncios acerca del proceso de vacunación en Colombia. </span></p></li></ul><br /><br /><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Definir el producto </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Guía 1. Diagnóstico: Responder a la pregunta ¿qué conozco?</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Guía 2. Identificación del problema: Responder a la pregunta ¿Qué problemas hay?</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Guía 3. Alternativas de solución: Responder a la pregunta ¿Qué solución puedo brindar?</span></p><br /><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="color: #073763; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">REFERENCIAS </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><a href="https://tellyspaucar.wordpress.com/agenda-2030-ocde/" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">https://tellyspaucar.wordpress.com/agenda-2030-ocde/</span></a></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><a href="https://santillanaplus.com.co/" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">Santillana PLUS+ CONTENIDOS DIGITALES EDUCATIVOS</span></a></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><a href="http://www.ods.gov.co/es/objetivos/salud-y-bienestar" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">Salud y bienestar - La Agenda 2030 en Colombia - Objetivos de Desarrollo Sostenible (ods.gov.co)</span></a></p><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Situación problema interdisciplinar asociada al ODS </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;"> Vacunas</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Tomado de: Guías de aprendizaje en casa. Alcaldía de Medellín. 2020. Recuperado de </span><a href="https://medellin.edu.co/doc/guias-de-aprendizaje/1351-guia-de-aprendizaje-integrada-6-7-v2/file" style="text-decoration-line: none;"><span style="color: #1155cc; font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; text-decoration-line: underline; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;">https://medellin.edu.co/doc/guias-de-aprendizaje/1351-guia-de-aprendizaje-integrada-6-7-v2/file</span></a></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">LAS VACUNAS COMO AVANCE BIOMÉDICO </span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Vamos a conocer un poco de historia acerca de la vacunación, entendiendo que durante los primeros años de la preparación y uso de las vacunas, tanto su elaboración como su control eran procesos totalmente artesanales, de ensayo y error, porque en ese entonces, no existían métodos estandarizados para comprobar la pureza de las semillas microbianas utilizadas, razón por la cual, no siempre se hacían pruebas estrictas de esterilidad y mucho menos pruebas de potencia en animales, situación que ocasionó algunas veces accidentes, cuando empezaron a utilizarse las vacunas en seres humanos.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">A pesar de los accidentes ocurridos, la introducción de la inmunización ha permitido ahorrar en el costo de los tratamientos, reducir la incidencia de muchas enfermedades infecciosas y lógicamente reducir la morbilidad y la mortalidad, aumentando la esperanza de vida de las personas. Sin lugar a dudas, la vacunación, ha sido uno de los mayores avances biomédicos de la salud pública mundial.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Analicemos la evolución del desarrollo de este avance biomédico, en la siguiente tabla:</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 613px; overflow: hidden; width: 740px;"><img height="613" src="https://lh6.googleusercontent.com/0oG5OoN51vHPv6uV4gO0TSx-lWzdq7V1GvMybjdeNcybivHVqJD5NvfNWIuwO0a61lHCsDsl2eOsJzmwGyBgba1Qh99meTzTcIVA1OOTw21nsWRGwdWQw6EX8RrEVz-YGRjqEAKW" style="margin-left: 0px; margin-top: 0px;" width="740" /></span></span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 287px; overflow: hidden; width: 740px;"><img height="287" src="https://lh4.googleusercontent.com/jPFwfO9kbEPtElCU8TmVyXnOq-bJFJcHzDNwpl0vbswfiC3kdih21I9ANqdWRE9pISEkcx3NxJ___uq6qWcoZqd_kDY7ZdKgzO8RjzO81yLZn9hq6Mn-gS6Y6RSYCbRCDJYF9eyA" style="margin-left: 0px; margin-top: 0px;" width="740" /></span></span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 508px; overflow: hidden; width: 740px;"><img height="508" src="https://lh4.googleusercontent.com/es8SDmUu7ac6U3cBlvpz-JbixI4IyjutG6_vf9h3B5GPmNbFcu7AH4l61IHYK3kj2FwcsCzf3_zktcifNElWdZC80X4_NF784QN1d80esvu8iD61M6OIJWGI60XTJ4fLCO7TasyN" style="margin-left: 0px; margin-top: 0px;" width="740" /></span></span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 457px; overflow: hidden; width: 740px;"><img height="457" src="https://lh6.googleusercontent.com/4M_6COZiMD-v_J2ckfTi-y-xgbSvTQdpUbpSajRBSv7wXo6szORxixgMOqsz7YUZsAilQ_XYkgDQGDY2fcKhv1Yyo37JBSZsWYdhxwGB5GUpn3N4E3F8es2utafv7fHkDZXp_1c9" style="margin-left: 0px; margin-top: 0px;" width="740" /></span></span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 751px; overflow: hidden; width: 740px;"><img height="751" src="https://lh4.googleusercontent.com/N7did7fQtV7ViOKYE74G6yXWlWLhWMHRb_jJIJjAaxcArMacFruU1hPaiDuKGH1zKEMTisuOjOyfeY5nhI8XCzDjInCEW9AtjMlW1JrGNW2epaZWobRpzQ4QaRHbKq21dcho3bEL" style="margin-left: 0px; margin-top: 0px;" width="740" /></span></span></p><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">LA VACUNA DE PASTEUR CONTRA LA RABIA</span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Vamos a analizar como ejemplo de avance biomédico, la vacuna de Pasteur contra la rabia. </span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Louis Pasteur (1822-1895), figura 30, es un científico de grandes méritos en la historia de la ciencia, desarrolló trabajos en estereoquímica, fermentación y bacteriología, el descubrimiento de la vacuna contra la rabia, concentrando su atención en el tratamiento de la enfermedad, fue su mayor logro. El tratamiento antirrábico dio origen a la revolución científica conocida como “Revolución Pasteuriana”. A Pasteur se le considera el Padre de la Microbiología. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 135px; overflow: hidden; width: 110px;"><img height="135" src="https://lh5.googleusercontent.com/eupgmqUuyKb7Xf0O-bxoNoS9aeJ75HSgDSxIa7beu4x02iLgc0iEVN4yVoh9beYWDn2nZ93nK7-_IxxsSI5yFAUmf1AaAHGQtHHgybS9mXRfZiyYynA9ZORsTdX7_2mvRtGHbeYS" style="margin-left: 0px; margin-top: 0px;" width="110" /></span></span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Figura. Louis Pasteur. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La rabia es una enfermedad conocida y estudiada desde la antigüedad. El primer gran brote de rabia fue descrito en Francia en 1271, cuando una villa fue atacada por lobos rabiosos; en 1500, España estaba asolada por la rabia canina y en 1614 París y Europa central. De 1752 a 1762, en Londres se ordenó sacrificar a todos los perros, lo mismo en Madrid y en el resto de Inglaterra, a las personas pobres no se les permitía tener perros.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Con el surgimiento de la clínica, en el tratamiento de la rabia se incluyó la limpieza de las heridas y la aplicación de hierro caliente o mercurio sobre las heridas. La rabia, figura 31, era común en toda Europa hasta Ucrania. A comienzos del siglo XIX la rabia canina pasó a las Américas, se tornó en un problema muy serio en Estados Unidos.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 76px; overflow: hidden; width: 111px;"><img height="76" src="https://lh3.googleusercontent.com/VfpjllwC-ttCtwCX-kiwpMH6E0U86beTzrggMoaFlgFyeejyweEmQuWkV7XNTUkYN88FkBpd0XiHBik7pghgFi9qtjMrAN6GKmqMKZyosxy4yKjac2r_Vg4v4Hx2dlJzZ8LaNOqL" style="margin-left: 0px; margin-top: 0px;" width="111" /></span></span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Figura. Rabia canina. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La cauterización fue recomendada por varios médicos franceses durante el Renacimiento, Bouchandt fue el primero en pensar en la posibilidad de inoculación contra la rabia e influenció a Pasteur.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En este tiempo era frecuente que mataran a los enfermos o sospechosos de rabia, en 1810, Francia expidió una ley para que esto no siguiera ocurriendo. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La bacteriología afectó profundamente a la salud pública a través del desarrollo de la aplicación de la inmunología. Estudios como los de Zinke, en 1804, quien demostró por primera vez, que la rabia podía ser transmitida a conejos y perros, infectando heridas cutáneas con saliva, contribuyeron para los descubrimientos de Pasteur. En 1881, Pasteur estableció los principios de la inoculación profiláctica contra ántrax y en 1883 contra erisipela porcina. En esta época muchos creían en la espontaneidad de las enfermedades, teoría que fue rebatida por Pasteur. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Cuando Pasteur empezó sus estudios, ya se conocía que la rabia era ocasionada por mordedura de animales y se sabía de la presencia de un virus en la saliva, existía una buena descripción del cuadro clínico y del período de incubación de la rabia.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Pasteur probó que el virus de la rabia se encuentra mayormente en el cerebro y logró atenuar el virus a través de varios pasos. Hizo estudios experimentales provocando la agresión de perros rabiosos a otros perros, vacunando a unos y a otros no, encontrando que los perros vacunados no morían.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En 1885, trató con éxito al niño Joseph Meister, figura 32, muy agredido por un perro rabioso, fue un gran paso en el tratamiento de una enfermedad letal, comunicó sus resultados a la Academia de Ciencias el 26 de enero de 1885 y desde esta época hasta octubre de 1886, trató 2490 personas, 1726 provenientes de Francia y Argelia y las demás de otros países como Estados Unidos y Rusia. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Empezó a recibir donaciones de distintos lugares del mundo y creó el Instituto Pasteur, diez años después tenía centros de investigación en varios países. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La vacuna utilizada por Pasteur era de tejido nervioso con virus vivo, fijado a través de varios pasajes en conejos, Roux en 1887 y Calmette en 1891, introdujeron el uso de la glicerina para la conservación de las médulas permitiendo el envío de vacunas para áreas distantes; los estudios de Fermi en 1908 y de Semple en 1919, contribuyeron en inactivar las vacunas.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">APRENDAMOS ACERCA DE LA RABIA</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La Organización Mundial de la Salud, publica los siguientes datos relacionados con la rabia: </span></p><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Es una enfermedad prevenible mediante vacunación que afecta a más de 150 países y territorios. </span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> La rabia causa decenas de miles de muertes cada año, principalmente en Asia y África. </span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El 40% de las personas mordidas por animales presuntamente rabiosos son menores de 15 años. </span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">• En la gran mayoría de los casos fatales de rabia humana, los perros han sido la fuente de infección. </span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La limpieza inmediata de la herida y la inmunización en las horas siguientes al contacto con un animal presuntamente rabioso pueden evitar la aparición de la enfermedad y la muerte.</span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Cada año más de 15 millones de personas en todo el mundo reciben tratamiento profiláctico pos exposición con la vacuna, para prevenir la enfermedad, de este modose previenen cientos de miles de muertes anuales por rabia.</span></p></li></ul><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La rabia es una zoonosis (enfermedad transmitida al ser humano por los animales), causada por un virus que afecta a animales domésticos y salvajes, y se propaga a las personas a través del contacto con la saliva infectada a través de mordeduras o arañazos.</span></p><br /><span style="border: none; display: inline-block; height: 222px; overflow: hidden; width: 300px;"><img height="222" src="https://lh4.googleusercontent.com/Vf9ePXTy_I4ydi5jZuqI0u_3U54OajbO2CKi4muxaldTUznF6cHRwUVcBMTYOCrjY1i3QWjnbLcOnU3aR8NJdDAeFp1egVhcPm91s4W7OfAwOOQQT8aN5QM5F9pjkgoffRQEy5eo" style="margin-left: 0px; margin-top: 0px;" width="300" /></span><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El periodo de incubación de la rabia suele ser de 1 a 3 meses,</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">pero puede oscilar entre menos de una semana y más de un</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">año. Las primeras manifestaciones son la fiebre, que a</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">menudo se acompaña de dolor o parestesias (sensación</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">inusual o inexplicada de hormigueo, picor o quemazón) en el</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">lugar de la herida. A medida que el virus se propaga por el</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">sistema nervioso central, figura 34, se produce una</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">inflamación progresiva del cerebro y la médula espinal que </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">acaba produciendo la muerte. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La enfermedad puede adoptar dos formas, la rabia furiosa y la rabia paralítica. En la rabia furiosa, existen signos de hiperactividad, excitación, hidrofobia y, a veces, aerofobia, la muerte se produce a los pocos días por paro cardiorrespiratorio. La rabia paralítica representa aproximadamente un 30% de los casos humanos y tiene un curso menos dramático y generalmente más prolongado que la forma furiosa. Los músculos se van paralizando gradualmente, empezando por los más cercanos a la mordedura o arañazo. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El paciente va entrando en coma lentamente, y acaba por fallecer. Las personas se infectan por la mordedura o el arañazo profundos de un animal infectado. Los perros son los principales huéspedes y transmisores de la rabia. Estos animales son, en todos los casos, la fuente de la infección que causa las muertes por rabia humana que ocurren anualmente en Asia y África.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">El Instituto Nacional de Salud de Colombia, recomienda lavar la herida se debe lavar con agua y jabón de lavar ropa o detergente, dejando enjabonada la zona afectada durante cinco minutos y enjuagando a continuación con agua a chorro hasta limpiar completamente la herida, repitiendo este procedimiento tres veces, luego aplicar un agente virucida como agua oxigenada, soluciones yodadas o alcohol.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Las vacunas concentradas y purificadas derivadas de cultivos celulares o de huevos embrionados han demostrado ser seguras y eficaces para prevenir la rabia y pueden utilizarse con fines profilácticos tanto antes como después de la exposición, figura 35. Las vacunas se pueden administrar por vía intramuscular o intradérmica. La rabia es prevenible mediante vacunación. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Como se considera que los niños corren mayor riesgo porque tienen tendencia a jugar con los animales y pueden sufrir mordeduras más graves o no notificar las mordeduras, es conveniente vacunarlos, si residen o visitan zonas de alto riesgo. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La OMS apoya los objetivos de eliminar la rabia humana y la rabia canina en todos los países de América Latina para 2015, y la rabia humana transmitida por perros en Asia Sudoriental para 2020. En esta última región, un plan quinquenal (2012-2016) se ha propuesto como meta reducir a la mitad el número actualmente estimado de muertes humanas por rabia en los países endémicos. Vamos a analizar ahora qué son y cómo actúan las vacunas.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">¿QUÉ SON Y CÓMO ACTÚAN LAS VACUNAS?</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: justify;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Las vacunas están constituidas por gérmenes enteros atenuados o muertos, sin su capacidad patógena o con su capacidad patógena atenuada o amortiguada. Las vacunas tienen como fin estimular la inmunidad del organismo para que se creen defensas ante un posible contacto de nuestro organismo con el germen causante de la enfermedad. Para comprender cómo actúan las vacunas, necesitamos aprender acerca de la inmunidad. La inmunidad está constituida por los mecanismos de defensa que tiene el organismo para evitar las infecciones, puede ser natural o artificial, activa o pasiva.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">• La inmunidad activa natural es aquella que se desarrolla fisiológicamente tras una infección. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">• La inmunidad activa artificial es la que se consigue tras la vacunación. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">• La inmunidad pasiva natural es la producida mediante la transferencia fisiológica de elementos del sistema inmune como, por ejemplo, el paso de las inmunoglobulinas (Ig) G maternas al feto por vía transplacentaria. </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">• La inmunidad pasiva artificial se logra tras la administración de elementos del sistema inmunológico de personas inmunes a otras no inmunes, por ejemplo, la administración de gammaglobulina antitetánica. </span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Existe una inmunidad innata que actúa contra todos los antígenos (Ag) o sustancias extrañas al organismo, como el pH gástrico, la tos, la lisozima salival, la piel, la flora bacteriana intestinal, el complemento, el interferón, la fagocitosis de los macrófagos, los polimorfo nucleares, etc.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">También existe la inmunidad adaptativa, por la cual las células llamadas presentadoras de antígenos, entre las que se encuentran los macrófagos y las células dendríticas, fagocitan los gérmenes y además de poder destruirlos les dan información a los linfocitos T. El sistema inmune está formado por un conjunto de componentes celulares que se encarga de la defensa del cuerpo humano ante cualquier agente nocivo o antígeno. Las células más importantes del sistema inmune son los linfocitos B y T. Los linfocitos B reconocen las proteínas extrañas llamadas antígenos, causantes de la enfermedad, porque son diferentes a las proteínas naturales del cuerpo.</span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La presencia de antígenos hace que se multipliquen las células B, las cuales reconocen a los antígenos. Las células B pueden reconocer un antígeno que haya infectado al organismo previamente. Algunas células B se convierten en células plasmáticas que segregan anticuerpos, proteínas especiales que atacan y destruyen solamente a los antígenos. Los linfocitos o células T “asesinas” reaccionan a los restos de antígenos específicos destruidos, atacándoles, así como también a las células infectadas. Las células T “auxiliares” con la ayuda de las proteínas linfoquinas, activan a las células B y T. Las células T “supresoras” inhiben la respuesta de otras células a los antígenos invasores. Las células o linfocitos T, sobreviven durante muchos años para responder movilizándose rápidamente ante un intento de segunda invasión por parte del mismo antígeno. Hay dos tipos de linfocitos T, los CD4 y los CD8. Los CD4 se subdividen en:</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">CD4 + Th 1: Intervienen en la activación de los macrófagos, en la actividad inflamatoria y en la defensa de antígenos intracelulares. </span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">CD$ + Th 2: Intervienen en la estimulación de los linfocitos B productores de inmunoglobulinas o anticuerpos.</span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">CD4 + Th 17: Intervienen en la eliminación de antígenos extracelulares.</span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Una parte ayuda a la eliminación del germen y la otra parte se convierte en células de memoria. </span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Los CD8+ se convierten en células citotóxicas con poder para destruir los gérmenes y también pueden transformarse en células de memoria.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La rabia es una zoonosis (enfermedad transmitida al ser humano por los animales), causada por un virus que afecta a animales domésticos y salvajes, y se propaga a las personas a través del contacto con la saliva infectada a través de mordeduras o arañazos.</span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 175px; overflow: hidden; width: 239px;"><img height="175" src="https://lh6.googleusercontent.com/okKCccvfonV8DNygrlUZcXLUL4lsq18k2KsIkF2WNDXPdry78rDAMTkRiQW-yXCH2KkSXx2tzn6cqJUgcxyW2daIGV1oY1jyRx5ItqbyvNVs13pa6Pn-ruFcjBPwdsS9d7af1Vki" style="margin-left: 0px; margin-top: 0px;" width="239" /></span></span><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 337px; overflow: hidden; width: 437px;"><img height="337" src="https://lh4.googleusercontent.com/cJLtlzPfazd0k2kXesQ2umhaMFOieeu8P5QtE1CzZAAFVsbNWKFmUa8qmS7Ok6zIF_FoSPgWDKTQm5yVEEmiHz6KzSiCC3uV8Uby8PthWcnS159P86r8vE2RfauwqO7ZKPYvPcJ3" style="margin-left: 0px; margin-top: 0px;" width="437" /></span></span></p><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Las células de memoria, consiguen en un segundo contacto que toda la reacción del sistema inmunológico sea más rápida, más intensa y más específica. Las células de memoria constituyen la base para entender el funcionamiento de las vacunas. En las enfermedades inmunoprevenibles del reservorio humano y transmisión interhumana es posible alcanzar una proporción suficiente de inmunes en una población haciendo que cese la circulación del virus salvaje y desaparezcan por completo los casos, es necesario continuar vacunando a la población para evitar casos de recurrencia. Cuando esta situación se consigue en una zona determinada (país o región) se habla de la eliminación de la enfermedad en esa zona.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">La vacunación trabaja para desencadenar una respuesta inmunológica específica que generará respuestas determinadas para que las células B y T actúen contra un patógeno específico. Las vacunas preparan al sistema inmunológico para un futuro ataque de patógenos específicos. Después de la vacunación, o de haber padecido la infección, las células con memoria a largo plazo persisten en el cuerpo, y están en capacidad de responder más rápida y eficazmente en caso de que el organismo se vea atacado nuevamente por ese patógeno. El término erradicación se reserva para indicar que la eliminación de una enfermedad se ha realizado en todo el planeta, esto solo se ha conseguido para la viruela, declarada erradicada en 1979, en este caso no es necesario continuar vacunando.</span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">COMPOSICIÓN DE LAS VACUNAS</span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Además del germen o fracción del mismo, contienen elementos para mejorar su eficacia, para facilitar su administración y para conservarlas en las condiciones y tiempo adecuado: </span></p><ul style="margin-bottom: 0; margin-top: 0; padding-inline-start: 48px;"><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Disolventes: Las vacunas liofilizadas, contienen agua, solución salina o líquidos complejos. </span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Conservantes: Como el fenol, para aumentar el tiempo de caducidad de la vacuna. </span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 0pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Estabilizadores: Como la gelatina, mantienen la estabilidad de los componentes de la vacuna frente a factores ambientales como temperatura, luz, etc., garantizando su eficacia. </span></p></li><li aria-level="1" dir="ltr" style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; list-style-type: disc; vertical-align: baseline; white-space: pre;"><p dir="ltr" role="presentation" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Antibióticos: Como neomicina, se utilizan en algunas vacunas como triple vírica y gripe, con el fin de prevenir la contaminación del producto. • Adyuvantes: Sustancias que incrementan la respuesta inmunitaria de los antígenos, el más conocido es el hidróxido de aluminio.</span></p></li></ul><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">CLASIFICACIÓN MICROBIOLÓGICA DE LAS VACUNAS</span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Existen diversas maneras de clasificar las vacunas; microbiológica, sanitaria, según la vía de administración, etc. La figura siguiente, nos muestra la clasificación microbiológica de las vacunas.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 500px; overflow: hidden; width: 529px;"><img height="500" src="https://lh3.googleusercontent.com/2K8aBNZTs6zDRTSRuK5MBB0iK0uOK4hHLx6BX-f4WSuKDnUPKNx7WaDUoxemH8YiLx8sihuWrA8kI458A4jfdtZZSLYaV9sIr7HsumNoO7X6HJjoaTF6lO7wRNOWSWowdTMkVm_P" style="margin-left: 0px; margin-top: 0px;" width="529" /></span></span></p><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">VÍAS DE ADMINISTRACIÓN DE LAS VACUNAS</span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">ada vacuna debe ser administrada por la vía adecuada para garantizar su efectividad, como se ilustra en la figura siguiente:</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 556px; overflow: hidden; width: 525px;"><img height="556" src="https://lh5.googleusercontent.com/0Hpsjp5Pz5TlTLBCKMOyXmejl0vBY_vcLvBBOOnFyuE9lD6J0BjIVBUTuq3AoFgBdBQC4I3r_B332N3lQxt7WmqrSlHkTThMfw8mtL_wBQkINCmJT3UxFnR_UlraOkBi4U6NZxA-" style="margin-left: 0px; margin-top: 0px;" width="525" /></span></span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">ESQUEMA DE VACUNACIÓN EN COLOMBIA</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En Colombia se aplica el esquema de vacunación divulgado por el Ministerio de Salud, se explica en la siguiente figura:</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 942px; overflow: hidden; width: 617px;"><img height="942" src="https://lh4.googleusercontent.com/oSjX5W61OpXbVm56UfiXi3zDVLZR7vMbrD9PSwh76jtsW_ByQpWTa7crjSU51kh8DUiPcqr1yF5GeZ_BQK4AZo-pqZvhgW3oX5XlxyxW32J4vuyhZq7UisToUC-1HUa2Tnbl2-hp" style="margin-left: 0px; margin-top: 0px;" width="617" /></span></span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt; text-align: center;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">VACUNAS APLICADAS</span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En el aprendizaje de las Ciencias Naturales, es muy importante que todo lo que vamos aprendiendo lo relacionemos con nuestra vida diaria, con el ánimo de mejorar nuestras condiciones de vida personal, familiar y comunitaria. Todos los niños de Colombia deben recibir las vacunas relacionadas en el Esquema Nacional de Vacunación y poseer su carnet de vacunación donde aparece el registro de las mismas. </span></p><br /><br /><br /><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Actividad 1:</span></p><br /><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Vamos a consultar con la familia, apoyándonos en la información del carné de vacunación, qué vacunas hemos recibido, relacionando la información en la siguiente tabla:</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 540px; overflow: hidden; width: 740px;"><img height="540" src="https://lh5.googleusercontent.com/n30uY4V_bWc25BPE8QhsPCLUMamsHk-FahcaEYbiwrSmGpQ7L3Tmua3agqsgJGErosPwZM2J41afjVQUfphtrrcj0xnQN1RlUOFJyacjeWZAmadd0BN2eh4Bfoy56J88BXkUb740" style="margin-left: 0px; margin-top: 0px;" width="740" /></span></span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 489px; overflow: hidden; width: 740px;"><img height="489" src="https://lh4.googleusercontent.com/dP5UO9lIKV05Rhp8sGAYMHi6OKea8I2RCp0o9bCfKkvXlR4zsztTg8JzdSJdIeKVMTz5cSAJHKh5sP1KeoyDYOxxVbG85hrTKvOzE2AwodJmem64RJczK89jA8WFpg_IGlYnu6MK" style="margin-left: 0px; margin-top: 0px;" width="740" /></span></span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 484px; overflow: hidden; width: 740px;"><img height="484" src="https://lh5.googleusercontent.com/rZSyWboTYOgw6Bevjp7ZF7J4fy5BBShIIJMH_mc_Vhxtx0o3ezsWwZEEOVDE3_uR-lyIGlXmMt_r2FC_HM9Ob971xQ0TG8ub8rbZhkGWRCfCFUSz6sjD2Ys3922ZvBGj5Qpqwy51" style="margin-left: 0px; margin-top: 0px;" width="740" /></span></span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: 700; vertical-align: baseline; white-space: pre-wrap;">Actividad 2. VACUNO CONCÉNTRESE</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">En este ejercicio vamos a reforzar el aprendizaje adquirido acerca del esquema de vacunación y de las vías de administración de las vacunas, formando las parejas que correspondan.</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 419px; overflow: hidden; width: 740px;"><img height="419" src="https://lh4.googleusercontent.com/RYmJ13I2MMms_3R5u5gQFlMJjX0xj1ZTu8C3FA5-iVBIhLLrcWSbCe_bjTnAY-2iDYk9kN963A0tsxcDT0ckKDa_V0x9t1_72NW64_2vOleGPd2eEduUXh7Vi-NKRgrAlDqsqULR" style="margin-left: 0px; margin-top: 0px;" width="740" /></span></span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"><span style="border: none; display: inline-block; height: 393px; overflow: hidden; width: 740px;"><img height="393" src="https://lh5.googleusercontent.com/RxNmblzCFO1Rx-qVRo0ixL4VbIfbKLZZ8ur5StuEJRaHOB8oS7G7FqzhwPds-dGU8hfQBAcmAjEZ_1m8OpLK_5DomBqudUiw_YfMmZPt-LweBVjJtg57EE3kC0g2e-GB7tEq6TMP" style="margin-left: 0px; margin-top: 0px;" width="740" /></span></span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">Actividad 3:</span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;"> Con base en el texto sobre “las vacunas como avance Biomédico”, y a través de la información que tengas sobre el Covid-19 en tu ciudad; contesta la siguiente pregunta: </span></p><p dir="ltr" style="line-height: 1.3800000000000001; margin-bottom: 8pt; margin-top: 0pt;"><span style="font-size: 12pt; font-variant-east-asian: normal; font-variant-numeric: normal; vertical-align: baseline; white-space: pre-wrap;">1. ¿Qué avances Biomédicos crees tú que pueden ayudar a mitigar el impacto del coronavirus en Colombia? Te recomendamos buscar información en alguno de los medios a los que puedas acceder.</span></p><br /></span></div>Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-6490898065792133662020-06-20T08:23:00.000-07:002020-06-20T09:27:04.447-07:00PREGUNTAS DEL LIBRO "MALDITAS MATEMÁTICAS" CAP 5-9<div class="MsoNormal">
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<b style="font-size: x-large;"><span style="color: red; font-size: large;">ESTUDIANTES DE: </span><span style="color: #a64d79; font-size: large;">GRADO DÉCIMO, CURSOS 1001 Y 1003 LAS PREGUNTAS DEL LIBRO " EL HOMBRE QUE CALCULABA" </span><span style="color: red; font-size: large;"> Y </span><span style="color: #6aa84f; font-size: large;">CURSO 1105 DEL LIBRO "EL ASESINATO DEL PROFESOR DE MATEMÁTICAS"</span><span style="color: red; font-size: large;"> SE ENCUENTRAN MAS ABAJO, A CONTINUACIÓN DE LA SIGUIENTE ENTRADA.</span></b><br />
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<b><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><span style="color: #741b47;">PREGUNTAS DEL LIBRO “MALDITAS MATEMÁTICAS” </span> </span></b><br />
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<span style="color: #38761d; font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>CAPÍTULOS</b></span><b><span style="color: #38761d; font-family: "arial" , "helvetica" , sans-serif; font-size: large;"> 5 – 9</span></b><br />
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<b><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;">ESTUDIANTES DE LOS CURSOS 803 Y 804 DEL COLEGIO NUEVA
COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS DEL 5 AL 9 DE LA OBRA “MALDITAS MATEMATICAS”
RESPONDER ESTAS 20 PREGUNTAS COPIÁNDOLAS Y ENVIARLAS AL CORREO:
hrmatematicas5@gmail.com DEBIDAMENTE MARCADAS CON PORTADA … GRACIAS…EL
PLAZO MÁXIMO ES DÍA JULIO 20 DE 2020 ANTES DE LAS 12 de la noche, DESPUÉS
DE ESTA HORA Y FECHA NO SE TENDRÁN EN CUENTA ‼‼‼ LUEGO SE RETOMARÁN ALGUNAS DE ESTAS
PREGUNTAS EN DIFERENTES EVALUACIONES. Cualquier duda déjela como comentario. El
trabajo es individual, si se nota copia o plagio de trabajos de otros
compañeros no se tendrán en cuenta.<o:p></o:p></span></b><br />
<b><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><br /></span></b></div>
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<b style="font-family: arial, helvetica, sans-serif; font-size: x-large;"><span style="color: red;">CAPÍTULO 5: LA CRIBA DE ERATÓSTENES</span></b><br />
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>1. Qué significa una criba? De dónde era
Eratóstenes y en qué siglo vivió?. </b><b>Cuál es el único número primo y par?</b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>2. Explique cómo se hace una criba para
hallar los números primos.<o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>3. Escriba los 25 primeros números primos
menores que 100. </b><b>Cómo se puede ser menos que cero?</b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX" style="color: blue;">CAPÍTULO
6: EL LABERINTO</span><o:p></o:p></b></span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX"><br /></span></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">4. Ya en el
laberinto y siguiendo al Conejo Blanco, Alicia y Charlie siguieron en dirección
____________________</span><o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">Alicia
iba _____________ tocando la pared con la mano____________</span><o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">5. La parte
de las Matemáticas llamada topología se trata de _______________________________________</span><o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">____________________________________________________________________________________________________________________________________________________________</span><o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">Un
ejemplo de superficie topológica es
_______________________________________</span><o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">______________________________________________________________________________</span><o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">6. Un buen
profesor de Matemáticas debe tener las siguientes cualidades __________________</span><o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">__________________ y </span></b></span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">__________________</span><o:p></o:p></b></span><br />
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX" style="color: #6aa84f;">CAPÍTULO
7: EL MONSTRUO DEL LABERINTO</span><o:p></o:p></b></span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX"><br /></span></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">7. Al
llegar nuestros dos personajes al recinto cuadrado, con que monstruo se
encontraron? Qué forma tenía y que estaba haciendo?</span><o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">8. Qué
prueba le hizo la Minovaca a Alicia, para dejarla ir?</span><o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">9. Haga
un breve resumen de cómo le explicó, la Minovaca, la tabla de multiplicar del
cuatro a Alicia?</span><o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">10. Cómo
le explicó para sacar los resultados de la tabla del nueve?</span><o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">11. Haga
la tabla de multiplicar general del dos hasta el nueve.</span><o:p></o:p></b></span></div>
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<span style="color: magenta; font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">CAPÍTULO
8: EL DESIERTO DE TRIGO</span><o:p></o:p></b></span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX"><br /></span></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">12. Al
salir Charlie y Alicia a ese inmenso y ondulado desierto amarillo, de qué
estaba lleno el piso? Y a que se debía tanto material vegetal?</span><o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">13. Cómo
era y estaba vestido el rey Shirham? A quién le estaba pagando la deuda?</span><o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">14. Cómo
fue el trato con el inventor del ajedrez? Explique brevemente.</span><o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">15. A
cuántos granos de trigo, equivale la deuda? Y cuántos años se tardará en
pagarla? Explique.</span><o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">16. Dibuje
el tablero de de Ajedrez con sus piezas y describa como le ganó Alicia en el
menor número de jugadas.</span><o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX" style="color: #e69138;">CAPÍTULO
9: UN BOSQUE DE NÚMEROS.</span><o:p></o:p></b></span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX"><br /></span></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">17. Luego
de rodar en la alfombra mágica que les regaló el rey Shirham, a dónde llegaron?
Cómo era el bosque de números?</span><o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">18. Ahora
escriba los números del 1 al 100, formando cuadrados como le explicó Charlie a
Alicia.</span><o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">19. Haga
una pequeña biografía de Carl Friedrich Gauss.</span><o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span lang="ES-MX">20. Cómo
hizo Gauss para sumar los números de 1 a 100, cuánto le dio?. </span></b><b><span lang="ES-MX">Defina
que es una “progresión aritmética” y una “progresión geométrica”.</span></b></span></div>
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<b><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;">ESTUDIANTES DE LOS CURSOS 803 Y 804 DEL COLEGIO NUEVA COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS DEL 5 AL 9 DE LA OBRA “MALDITAS MATEMATICAS” RESPONDER ESTAS 20 PREGUNTAS COPIÁNDOLAS Y ENVIARLAS AL CORREO: hrmatematicas5@gmail.com DEBIDAMENTE MARCADAS CON PORTADA … GRACIAS…EL PLAZO MÁXIMO ES DÍA JULIO 20 DE 2020 ANTES DE LAS 12 de la noche, DESPUÉS DE ESTA HORA Y FECHA NO SE TENDRÁN EN CUENTA ‼‼‼ LUEGO SE RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES EVALUACIONES. Cualquier duda déjela como comentario. El trabajo es individual, si se nota copia o plagio de trabajos de otros compañeros no se tendrán en cuenta.</span></b></div>
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<a href="http://www.librosmaravillosos.com/malditasmatematicas/index.html"><b><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;">Ir al Libro "MALDITAS MATEMÁTICAS"</span></b></a></div>
Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-58158775629456880342020-06-18T19:42:00.000-07:002020-06-20T06:45:55.575-07:00"PREGUNTAS SOBRE EL LIBRO “EL ASESINATO DEL PROFESOR DE MATEMÁTICAS”<div class="MsoNormal">
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<a href="https://docs.google.com/viewer?a=v&pid=sites&srcid=ZGVmYXVsdGRvbWFpbnxjYXN0cm9pZXNjb3JvbmF8Z3g6NzBhNzY1MjM1ZmRjY2I1Zg"><b><span style="color: purple;">IR AL LIBRO "EL ASESINATO DEL PROFESOR DE MATEMÁTICAS"</span></b></a></div>
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<b><span style="color: red; font-size: large;">"PREGUNTAS SOBRE EL LIBRO “EL ASESINATO DEL PROFESOR DE MATEMÁTICAS”</span></b><br />
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<b><span style="color: #8e7cc3; font-size: large;">CAPÍTULOS 7 AL 14</span></b></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>ESTUDIANTES DEL CURSO 1105, </b><span style="color: #cc0000; font-weight: bold;">PROM 2020</span><b> DEL COLEGIO NUEVA COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS DEL 7 AL 14 DE LA OBRA “EL ASESINATO DEL PROFESOR DE MATEMÁTICAS” RESPONDER ESTAS 20 PREGUNTAS Y ENVIARLAS AL CORREO: </b><a href="mailto:hrmatematicas7@gmail.com" style="font-weight: bold;"><span style="color: red;">hrmatematicas5@gmail.com </span></a><b>DEBIDAMENTE MARCADAS CON PORTADA DONDE ESTÉ EL NOMBRE Y EL CURSO … GRACIAS… EL PLAZO MÁXIMO ES EL DÍA JULIO 20 DE 2020 ANTES DE LAS 12 DE LA NOCHE, DESPUÉS DE ESTA HORA Y FECHA NO SE TENDRÁN EN CUENTA!!!! LUEGO SE RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES EVALUACIONES. Cualquier duda déjela como comentario. El trabajo es individual, si se nota copia o plagio de trabajos de otros compañeros no se tendrán en cuenta.</b></span></div>
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif; font-size: medium;"><b><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;">😊 Capítulo 7</span></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>1. Estando los tres estudiantes en el solar, quien llego a
saludarlos? Hasta que hora tenían plazo para resolver los problemas y descubrir
al asesino?</b></span><br />
<b><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;">2. Qué le pasó a Felipe Romero? </span></b><br />
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<b><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;">3. Iniciaron
el juego? Como les dejó los problemas?</span></b></div>
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: medium;"><b><br /></b></span><b style="color: magenta;">😊 Capítulo 8</b></span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b style="color: magenta;"><br /></b></span>
<b><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;">4. Qué hicieron los tres estudiantes al ver al profesor
muerto? </span></b><br />
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>5. Con quienes volvieron al lugar de los acontecimientos?<o:p></o:p></b></span></div>
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<b><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;">6. Al llegar al solar, que encontraron? Y como
hicieron para escapar del lugar?</span></b></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><o:p></o:p></span></div>
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><br /></span></div>
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<b style="color: #741b47;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;">😊 Capítulo 9</span></b><br />
<b style="color: #741b47;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><br /></span></b>
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"> <b>7</b><b>. Cuántas veces tuvieron que quitar de a cuatro cajas
sin que dejara de sumar dieciséis en forma vertical y horizontal? </b></span><br />
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>8. Con que
relacionaron este problema?</b><o:p></o:p></span></div>
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<b><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;">9. Qué significa el jeroglífico? Dónde encuentran
la siguiente pista?</span></b></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: medium;"><b><br /></b></span><b style="color: #38761d;">😊 Capítulo 10</b></span><br />
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b> 10</b><b>. </b> <b>Cómo resolvieron el problema del porcentaje? Cuál fue
su respuesta?<o:p></o:p></b></span></div>
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<b><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;">11. Si en vez de 27 cigarrillos y con las mismas
condiciones, fueran 81, cuántos cigarrillos saldrían hasta quedar la última
colilla?</span></b></div>
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><br /></span></div>
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<b style="color: magenta;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;">😊 Capítulo 11</span></b><br />
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;"><b><br /></b></span>
</span><br />
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><span style="font-family: "arial" , "helvetica" , sans-serif;"><b>12. Cómo resolvieron la pista para dar con el
siguiente sobre? Y donde quedaba?</b></span><span style="font-family: "arial" , "helvetica" , sans-serif;"><o:p></o:p></span></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><o:p></o:p></span></div>
<b><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;">13. Y el problema de los chicos y chicas, quién y
cómo lo resolvió? Cuántos habían de cada género?</span></b><br />
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b>
<b><b style="color: red;">😊 Capítulo 12</b></b></span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><b style="color: red;"><br /></b></b>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>14. Igual que el problema No. 4, que solucionaron
nuestros protagonistas de esta historia, solucione: La suma de las edades
de un Padre y su hijo suman 48 años, y en la actualidad la edad del padre es el
triple de la del hijo dentro de cuántos años, será el doble?<o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>15. a. Cuál fue el valor
que dio la pista?<o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b> b. Dónde encontraban el sobre de la próxima pista?<o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><span style="font-family: "arial" , "helvetica" , sans-serif;"><b>16. a</b></span><b><span style="font-family: "arial" , "helvetica" , sans-serif;">. </span><span style="font-family: "arial" , "helvetica" , sans-serif;">Como se llamaba el auto del Profesor?</span></b></span><br />
<b style="font-family: arial, helvetica, sans-serif; font-size: x-large;"> </b><b><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"> b. Como sacaron la pista del auto?</span></b></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span></div>
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<b style="color: #741b47;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;">😊 Capítulo 13</span></b></div>
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<b style="color: #741b47;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><br /></span></b></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>17. Cuál es el número diferente
de los 3 problemas rápidos que les dejo el profesor?<o:p></o:p></b></span></div>
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<b><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;">
<span style="line-height: 115%;">18. Problema: si
las bicicletas están a 45 km de distancia una de la otra y se acercan a una
velocidad de 15 km por hora, y la mosca viaja de una bicicleta a otra a una
velocidad de 20 km/h, cuántos km viajará la mosca?</span></span></b></div>
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<b><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: medium;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large; line-height: 115%;"><br /></span></span></b></div>
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<b><b style="color: #38761d;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;">😊 Capítulo 14</span></b></b></div>
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<b><b style="color: #38761d;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><br /></span></b></b></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>19. Qué número de árbol del
parque buscaron? Cómo se acomodaron uno sobre el otro para alcanzar el sobre?<o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>20. Así como solucionaron el
problema nuestros 3 estudiantes, usted solucione el siguiente problema: Dos
correos van por el mismo camino en la misma dirección. El primero salió del
punto A y anda 8 kilómetros por hora. El segundo partió del punto B, delante de
A, y anda 5 kilómetros a la hora. El correo del punto A emprendió la marcha 4
horas antes que el del punto B. La distancia del punto A al punto B es de 50
kilómetros,<o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>¿En qué lugar del camino van a juntarse?<o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>¿Cuánto habrá recorrido el correo A?<o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>¿Cuánto habrá recorrido el correo B?<o:p></o:p></b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>¿Qué tiempo habrá empleado el correo A?<o:p></o:p></b></span></div>
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<b style="color: #741b47;"><b style="color: #38761d;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;">
</span></b></b></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>¿Qué tiempo el correo B?<o:p></o:p></b></span></div>
<b><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><br /></span></b></div>
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<b><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"> </span></b><b style="font-family: arial, helvetica, sans-serif; font-size: x-large;">ESTUDIANTES DEL CURSO 1105, </b><span style="color: #cc0000; font-family: arial, helvetica, sans-serif; font-size: large; font-weight: bold;">PROM 2020</span><b style="font-family: arial, helvetica, sans-serif; font-size: x-large;"> DEL COLEGIO NUEVA COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS DEL 7 AL 14 DE LA OBRA “EL ASESINATO DEL PROFESOR DE MATEMÁTICAS” RESPONDER ESTAS 20 PREGUNTAS Y ENVIARLAS AL CORREO: </b><a href="mailto:hrmatematicas7@gmail.com" style="font-family: arial, helvetica, sans-serif; font-size: x-large; font-weight: bold;"><span style="color: red;">hrmatematicas5@gmail.com </span></a><b style="font-family: arial, helvetica, sans-serif; font-size: x-large;">DEBIDAMENTE MARCADAS CON PORTADA DONDE ESTÉ EL NOMBRE Y EL CURSO … GRACIAS… EL PLAZO MÁXIMO ES EL DÍA JULIO 20 DE 2020 ANTES DE LAS 12 DE LA NOCHE, DESPUÉS DE ESTA HORA Y FECHA NO SE TENDRÁN EN CUENTA!!!! LUEGO SE RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES EVALUACIONES. Cualquier duda déjela como comentario. El trabajo es individual, si se nota copia o plagio de trabajos de otros compañeros no se tendrán en cuenta.</b><br />
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large; line-height: 16.8667px;">Para leer el libro, de clic sobre el título, o vaya al enlace: </span><br />
<a href="http://Ir%20al%20libro%20"El%20Asesinato%20del%20Profesor%20de%20Matem%C3%A1ticas"/">Ir al libro "El Asesinato del Profesor de Matemáticas"</a>Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-29163776565932029252020-04-14T07:38:00.002-07:002020-04-14T07:44:38.030-07:00ENLACES O LINKS A LAS PRUEBAS TRIMESTRALES DE MATEMÁTICAS PARA LOS GRADOS OCTAVOS, DÉCIMOS Y ONCES<div style="text-align: center;">
<span style="color: red; font-size: large;">ESTUDIANTES DEL COLEGIO NUEVA COLOMBIA DE LOS CURSOS OCTAVO, DÉCIMO Y ONCE, ESTOS SON LOS ENLACES PARA PRESENTAR LAS PRUEBAS TRIMESTRALES DEL PRIMER PERIODO</span></div>
<br />
<span style="color: #38761d; font-size: large;">Recuerde que se deben presentar antes del 17 de Abril de 2020</span><br />
<span style="color: #38761d; font-size: large;"><br /></span>
<br />
<a href="https://docs.google.com/forms/d/e/1FAIpQLScvu81gB4wzRaN3QtWEq8MUhB_2ym7hdFBZHiz7BOD2BUgg5Q/viewform"><span style="font-size: large;">Ir a la prueba trimestral de Matemáticas grado Octavo P1</span></a><br />
<br />
<br />
<a href="https://docs.google.com/forms/d/e/1FAIpQLSchDVzxzYhCnF6QMvnikKKiEDaNVtIR2wPwHoRXbytY3kwXwA/viewform"><span style="font-size: large;">Ir a la prueba trimestral de Trigonometría grado Décimo P1</span></a><br />
<br />
<br />
<br />
<a href="https://docs.google.com/forms/d/e/1FAIpQLSeF57rbfLKc3YDSlnoXyHB3fbUJxhgGB1maH4vkDAnqVeQNYQ/viewform"><span style="font-size: large;">Ir a la prueba trimestral de Cálculo grado Once P1</span></a>Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-29036328375060701272020-03-07T15:49:00.000-08:002020-06-20T08:23:48.224-07:00PREGUNTAS DEL LIBRO "MALDITAS MATEMÁTICAS" <div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><a href="http://www.hrmatematicas.blogspot.com.co/2016/02/preguntas-sobre-el-libro-el-hombre-que.html"><b><span style="color: red;">ESTUDIANTES DE: </span><span style="color: #a64d79;">GRADO DÉCIMO, CURSOS 1001 Y 1003 LAS PREGUNTAS DEL LIBRO " EL HOMBRE QUE CALCULABA" </span><span style="color: red;"> Y </span><span style="color: #6aa84f;">CURSO 1105 DEL LIBRO "EL ASESINATO DEL PROFESOR DE MATEMÁTICAS"</span><span style="color: red;"> SE ENCUENTRAN MAS ABAJO, A CONTINUACIÓN DE LA SIGUIENTE ENTRADA.</span></b></a></span><br />
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<span style="font-size: large;"><b><a href="https://sites.google.com/site/hrmatematicas/"><span style="color: #b45f06;">IR A LA PAGINA WEB "HRMATEMATICAS"</span></a><o:p></o:p></b></span></div>
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<span style="font-size: large;"><b><a href="http://www.librosmaravillosos.com/malditasmatematicas/index.html"><span style="color: red;">IR AL LIBRO "LAS MALDITAS MATEMÁTICAS"</span></a><o:p></o:p></b></span></div>
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<span style="font-size: large;"><b><span style="color: #274e13;">PREGUNTAS DEL LIBRO “MALDITAS MATEMÁTICAS”</span><o:p></o:p></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b><span style="color: #274e13;">CAPITULOS 1 – 4</span><o:p></o:p></b></span></div>
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<span style="font-size: large;"><b>HOLA: ESTUDIANTES DE LOS CURSOS 803 Y 804 DEL COLEGIO NUEVA COLOMBIA
IED… SE DEBEN LEER LOS CAPÍTULOS DEL 1 AL 4 DE LA OBRA “LAS MALDITAS
MATEMATICAS” RESPONDER ESTAS 20 PREGUNTAS COPIÁNDOLAS Y ENVIARLAS AL
CORREO: hrmatematicas5@gmail.com DEBIDAMENTE MARCADAS CON PORTADA …
GRACIAS…EL PLAZO MÁXIMO ES DÍA MARZO 23 DE 2020 ANTES DE LAS 12 DE LA
NOCHE, DESPUÉS DE ESTA HORA Y FECHA NO SE TENDRÁN EN CUENTA ‼‼‼ si
no es posible enviarlas por correo, se recibirán el día Marzo 24 de 2020 en hojas,
en el Laboratorio de Física a las 6 AM... LUEGO SE RETOMARÁN ALGUNAS DE
ESTAS PREGUNTAS EN DIFERENTES EVALUACIONES. Cualquier duda déjela como
comentario. El trabajo es individual, si se nota copia o plagio de trabajos de
otros compañeros no se tendrán en cuenta.<o:p></o:p></b></span></div>
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<span style="font-size: large;"><b><span style="color: #741b47;">CAPÍTULO 1: LAS MATEMÁTICAS NO SIRVEN PARA NADA</span><o:p></o:p></b></span></div>
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<span style="font-size: large;"><b><br /></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>1. Que estaba haciendo
Alicia en el parque?<o:p></o:p></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>2. Quién se le presentó?
Qué expresión tenía y a que se dedicaba?<o:p></o:p></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>3. Según este personaje,
cuál es el origen y base de todas las Matemáticas?<o:p></o:p></b></span></div>
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<span style="font-size: large;"><b><br /></b></span></div>
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<span style="font-size: large;"><b><span style="color: blue;">CAPÍTULO 2: EL CUENTO DE LA CUENTA</span><o:p></o:p></b></span></div>
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<span style="font-size: large;"><b><br /></b></span></div>
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<span style="font-size: large;"><b>4. En qué consistió el
cuento de aprender a contar, que le contó el matemático a Alicia?<o:p></o:p></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>5. De qué materiales eran
los cuencos en que echaba el pastor las piedras?<o:p></o:p></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>6. Cómo nacieron y qué
ventajas tienen los números actuales?<o:p></o:p></b></span></div>
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<span style="font-size: large;"><b>7. Porqué es
posicional nuestro sistema decimal?<o:p></o:p></b></span></div>
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<span style="font-size: large;"><b><span style="color: #990000;">CAPÍTULO 3: EL AGUJERO DEL GUSANO</span><o:p></o:p></b></span></div>
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<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>8. Cómo entraron al País
de los Números?<o:p></o:p></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>9. En qué consiste un
Agujero de Gusano y porque se llama así?<o:p></o:p></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>10. Después de cruzar Alicia por el agujero de
gusano, a dónde llegó?<o:p></o:p></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>11. Qué vio a su alrededor?<o:p></o:p></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b><span style="color: #351c75;">CAPÍTULO 4: EL PAÍS DE LOS NÚMEROS</span><o:p></o:p></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>12. Cómo se llama el autor de “Alicia en el País
de las Maravillas”? Cuál es su verdadero nombre?<o:p></o:p></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>13. Con qué naipes se encontraron? Y de qué color
tenía cada uno su bote?<o:p></o:p></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>14. Porqué discutían los tres naipes cuando llegó
la Reina de Corazones?<o:p></o:p></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>15. Porqué la Reina de Corazones odia los números
primos?<o:p></o:p></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>16. Qué es un número compuesto? Qué es “factorial
de un número”?<o:p></o:p></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>17. Según Charlie, como se forma una lista de 100
números consecutivos compuestos?<o:p></o:p></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>18. Qué título le dio la Reina de Corazones a
Charlie?<o:p></o:p></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>19. Porqué todo el séquito de la Reina le tenía
tanto miedo al Cero?<o:p></o:p></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>20. Cuál es la forma o fórmula para hallar los
pares y los impares?<o:p></o:p></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b><br /></b></span></div>
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<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>HOLA: ESTUDIANTES DE LOS CURSOS 803 Y 804 DEL COLEGIO NUEVA COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS DEL 1 AL 4 DE LA OBRA “LAS MALDITAS MATEMATICAS” RESPONDER ESTAS 20 PREGUNTAS COPIÁNDOLAS Y ENVIARLAS AL CORREO: hrmatematicas5@gmail.com DEBIDAMENTE MARCADAS CON PORTADA … GRACIAS…EL PLAZO MÁXIMO ES DÍA MARZO 23 DE 2020 ANTES DE LAS 12 DE LA NOCHE, DESPUÉS DE ESTA HORA Y FECHA NO SE TENDRÁN EN CUENTA ‼‼‼ si no es posible enviarlas por correo, se recibirán el día Marzo 24 de 2020 en hojas, en el Laboratorio de Física a las 6 AM... LUEGO SE RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES EVALUACIONES. Cualquier duda déjela como comentario. El trabajo es individual, si se nota copia o plagio de trabajos de otros compañeros no se tendrán en cuenta.</b></span><br />
<span style="font-size: large;"><b><br /></b></span></div>
<div style="margin-bottom: .0001pt; margin: 0cm;">
<span style="font-size: large;"><b>Para ir al libro "Las Malditas Matemáticas" de
click sobre el título o vaya al enlace:
http://www.librosmaravillosos.com/malditasmatematicas/index.html<o:p></o:p></b></span></div>
<span style="font-size: large;"><b><br /></b></span>
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Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-38088447270977458062020-03-07T15:23:00.000-08:002020-03-07T09:04:17.525-08:00PREGUNTAS SOBRE EL LIBRO "EL HOMBRE QUE CALCULABA"<div class="MsoNormal" style="text-align: center;">
<div style="text-align: left;">
<span style="line-height: 115%;"><span style="color: red; font-size: large;"><a href="http://www.librosmaravillosos.com/hombrecalculaba/pdf/El%20Hombre%20que%20Calculaba%20-%20Malba%20Tahan.pdf"><b>IR AL LIBRO "EL HOMBRE QUE CALCULABA"</b></a></span></span></div>
</div>
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<span style="font-size: large;"><b><br /></b></span></div>
</div>
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<div style="text-align: left;">
<a href="https://sites.google.com/site/hrmatematicas/home"><span style="color: purple; font-size: large;"><b>IR A LA PÁGINA WEB "HRMATEMATICAS"</b></span></a></div>
</div>
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<span style="font-size: large; line-height: 115%;"><b><br /></b></span></div>
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<div class="MsoNormal" style="text-align: center;">
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<span style="color: #38761d; font-size: large;"><b><span style="line-height: 115%;">PREGUNTAS
SOBRE EL LIBRO “EL HOMBRE QUE CALCULABA”</span><span style="line-height: 115%;"><o:p></o:p></span></b></span></div>
</div>
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<span style="font-size: large; line-height: 115%;"><b>CAPÍTULOS
1 – 12</b></span></div>
</div>
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<span style="font-size: large;"><b><br /></b></span></div>
</div>
<div class="MsoNormal" style="text-align: justify;">
<div style="text-align: left;">
<span style="font-size: large; line-height: 115%;"><b>HOLA: ESTUDIANTES DE GRADO DÉCIMO, CURSOS 1001 Y 1003, DEL COLEGIO NUEVA COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS DEL 1 AL 12 DE LA
OBRA “EL HOMBRE QUE CALCULABA ” COPIAR Y RESPONDER ESTAS 26 PREGUNTAS Y ENVIARLAS
AL CORREO: hrmatematicas5@gmail.com DEBIDAMENTE MARCADAS CON PORTADA (que
tenga nombre y curso)… GRACIAS…EL PLAZO MÁXIMO ES DÍA MARZO 23 DE 2020 ANTES DE LAS 12 de la noche, DESPUÉS DE ESTA HORA Y FECHA NO SE TENDRÁN EN
CUENTA ‼‼‼ Si no es posible enviarlas por correo, se recibirán el
día Marzo 24 de 2020 en hojas, en el Laboratorio de Física a las 6 AM…
LUEGO SE RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES EVALUACIONES. El trabajo es individual, si se nota
copia o plagio de trabajos de otros compañeros no se tendrán en cuenta.</b></span></div>
</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh6CJpr0jj-_KCQqR_-JoOwhG4on-ikbJZpkbTxgDkUftVEEpApSEyJXFDOgHgAbAoC24ivfdexXCN2oavP4jrWbl-x4SrjDLuMDDeajXDlVJo4EjcoqLLyaBbJ4vsF2fBqw67lNJ37r78/s1600/291.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-size: large;"><b><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh6CJpr0jj-_KCQqR_-JoOwhG4on-ikbJZpkbTxgDkUftVEEpApSEyJXFDOgHgAbAoC24ivfdexXCN2oavP4jrWbl-x4SrjDLuMDDeajXDlVJo4EjcoqLLyaBbJ4vsF2fBqw67lNJ37r78/s1600/291.jpg" /></b></span></a></div>
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<span style="text-indent: 18pt;"><span style="line-height: 115%;"><span style="color: purple; font-size: large;"><b>DEDICATORIA Y BIOGRAFÍA</b></span></span></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>1. Haga una breve Biografía de cada uno de los
siete Matemáticos a los cuales el autor les dedica el Libro.</b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>2. Breve biografía del autor del Libro “El Hombre
Que Calculaba”</b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="text-align: left;">
<span style="text-indent: -18pt;"><span style="color: #cc0000; font-size: large;"><b>CAPITULO 1- “HOMBRE QUE CALCULABA”</b></span></span></div>
<div style="text-align: left;">
<span style="text-indent: -18pt;"><span style="color: #cc0000; font-size: large;"><b><br /></b></span></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>3. De dónde regresaba el narrador de esta historia?</b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>4.<span style="font-stretch: normal; text-indent: -18pt;"> </span><span style="text-indent: -18pt;">¿Qué hacía el “Hombre que Calculaba” cuando lo
encontró el narrador de esta historia?</span></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="text-align: left;">
<span style="text-indent: -18pt;"><span style="color: #351c75; font-size: large;"><b>CAPITULO 2- BEREMIS SAMIR</b></span></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>5. <span style="text-indent: -18pt;">¿Cómo se llamaba el “Hombre que Calculaba” de
donde era, que edad tenía y a que labores se había dedicado?</span></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>6.<span style="font-stretch: normal; text-indent: -18pt;"> </span><span style="text-indent: -18pt;">Describa
brevemente como logró la habilidad de contar o ser calculista: Beremís Samir.</span></b></span></div>
<div style="text-align: left;">
<span style="font-size: large; text-indent: -18pt;"><b><br /></b></span></div>
<div style="text-align: left;">
<span style="text-indent: -18pt;"><span style="color: #990000; font-size: large;"><b>CAPITULO 3 – LOS 35 CAMELLOS</b></span></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>7.<span style="font-stretch: normal; text-indent: -18pt;"> </span><span style="text-indent: -18pt;">Sobre el problema de los 35 camellos. ¿Cuántos
hermanos discutían por la herencia y cuánto les había dejado a cada uno el
padre en el testamento?</span></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>8.<span style="font-stretch: normal; text-indent: -18pt;"> </span><span style="text-indent: -18pt;">¿Cómo
hizo Beremís para solucionar esta discusión y que todos quedasen contentos y
agradecidos y él quedar con un jamal de ganancia por haber solucionado este
problema?</span></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="text-align: left;">
<span style="text-indent: -18pt;"><span style="color: #7f6000; font-size: large;"><b>CAPITULO 4 – LOS 8 PANES</b></span></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>9.<span style="font-stretch: normal; text-indent: -18pt;"> </span><span style="text-indent: -18pt;">¿Cuántos panes llevaba cada uno de nuestros
personajes? Cómo los repartieron y como quedó de pagarles el sheik?</span></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>10. <span style="text-indent: -18pt;">Como plantea Beremís Samir que es justa y exacta
la división? Cuántos panes comió cada uno? Y según eso cuántas monedas le
corresponde a cada uno? Con cuántas monedas al final se quedó cada uno?</span></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="text-align: left;">
<span style="text-indent: -18pt;"><span style="color: #cc0000; font-size: large;"><b>CAPITULO 5 – PROBLEMA DEL JOYERO</b></span></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>11.<span style="font-stretch: normal; text-indent: -18pt;"> </span><span style="text-indent: -18pt;">De
acuerdo al posadero Salim y al joyero cuanto pedía cada uno? Cuál era la
diferencia entre los dos? Y porque estaban equivocados juntos?</span></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>12.<span style="font-stretch: normal; text-indent: -18pt;"> </span><span style="text-indent: -18pt;">Cómo
resolvió este problema el calculista? Cuánto pago el joyero al dueño de la
hospedería? Cuál fue el regalo que le
dio el joyero al “Hombre que Calculaba”? </span><span style="text-indent: -18pt;">Cómo
explica Beremís la afirmación: “De la incertidumbre de los cálculos es que
resulta indiscutible el prestigio de la Matemática”?</span></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="text-align: left;">
<span style="text-indent: -18pt;"><span style="color: #351c75; font-size: large;"><b>CAPÍTULO 6 – EN EL PALACIO DEL VISIR MALUF</b></span></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>13.<span style="font-stretch: normal; text-indent: -18pt;"> </span><span style="text-indent: -18pt;">Cuántos camellos había en el patio del visir
Maluf? Como hizo para hallar este número? Y por qué es mejor regalarle como
dote al padre de la novia 256 camellos?</span></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>14. <span style="text-indent: -18pt;">Explique porque entre 13 y 16 existe una “</span><span style="text-indent: -18pt;">amistad cuadrática</span><span style="text-indent: -18pt;">”.</span></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="text-align: left;">
<span style="text-indent: -18pt;"><span style="color: #bf9000; font-size: large;"><b>CAPITULO 7 – LOS CUATRO CUATROS</b></span></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>15.<span style="font-stretch: normal; text-indent: -18pt;"> </span><span style="text-indent: -18pt;">Así
como hizo el calculista para escribir los números de cero a diez utilizando
cuatro cuatros. Escriba los números de 0 a 10, utilizando cuatro veces el 3 y
tres veces el número 9, con las operaciones aritméticas.</span></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>16.<span style="font-stretch: normal; text-indent: -18pt;"> </span><span style="text-indent: -18pt;">De acuerdo al relato sobre el Rey de Yemen
Omeya, hecho por Beremís, porque al final el visir sufrió un ataque al corazón,
por la sentencia del rey, y no era para menos.</span></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="text-align: left;">
<span style="text-indent: -18pt;"><span style="color: #4c1130; font-size: large;"><b>CAPÍTULO 8 – LOS VEINTIÚN VASOS</b></span></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>17.<span style="font-stretch: normal; text-indent: -18pt;"> </span><span style="text-indent: -18pt;">Así como hizo Beremís la repartición de los 21
vasos; si fueran 15 vasos: 5 llenos, 5 semillenos y 5 vacíos como se
repartirían entre 3 personas de tal forma que cada uno tuviera igual cantidad
de vasos y de líquido?</span></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>18.<span style="font-stretch: normal; text-indent: -18pt;"> </span><span style="text-indent: -18pt;">De acuerdo al relato sobre Avicena, cuál fue el
motivo que llevó al ladrón del camello a delatarse? Que es una curva Logarítmica
y en que partes de la naturaleza se encuentra?</span></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="text-align: left;">
<span style="text-indent: -18pt;"><span style="color: #cc0000; font-size: large;"><b>CAPÍTULO 9 – LA MUJER Y LA MATEMÁTICA</b></span></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>19.<span style="font-stretch: normal; text-indent: -18pt;"> </span><span style="text-indent: -18pt;">Qué le sucederá a Telassim, la hija de Iezid, después de los 18 años? Qué debía
aprender para que no le sucediera eso?</span></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b>20.<span style="font-stretch: normal; text-indent: -18pt;"> </span><span style="text-indent: -18pt;">Aceptó el calculista dar clases a esta singular
alumna? En qué condiciones? Quien fue Hipatia?</span></b></span></div>
<div style="text-align: left;">
<span style="font-size: large;"><b><br /></b></span></div>
<div style="text-align: left;">
<span style="text-indent: 0px;"><span style="line-height: 21.4667px;"><span style="color: #990000; font-size: large;"><b>CAPÍTULO 10 – LOS PÁJAROS Y LOS NÚMEROS PERFECTOS</b></span></span></span></div>
<br />
<span style="font-size: large;"></span><br />
<div style="text-align: left;">
<span style="font-size: large;"><b>21. Qué son números perfectos?</b></span></div>
<span style="font-size: large;">
</span>
<div style="text-align: left;">
<span style="font-size: large;"><b><span style="text-indent: -14.2pt;">22. </span><span style="text-indent: -14.2pt;">Halle la fórmula para hallar números perfectos, escriba y demuestre los primeros 6.</span></b></span></div>
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<span style="font-size: large;"><b><span style="color: #38761d;">CAPÍTULO 11–PRIMERA CLASE DE MATEMÁTICAS</span></b></span><br />
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<span style="font-size: large;"><b><span style="text-indent: 0px;"><span style="line-height: 21.4667px;">23. </span></span><span style="text-indent: -14.2pt;">Defina los términos que el calculista, le explicó a Telassim</span></b></span></div>
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<span style="font-size: large;"><b>24. Según Beremís cuáles son las siete artes divinas y las ciencias humanas.</b></span></div>
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<span style="font-size: large;"><b><span style="line-height: 21.4667px;"><span style="color: red;">CAPÍTULO 12–LAS CURVAS Y LA NATURALEZA</span></span><span style="text-indent: -14.2pt;"> </span></b></span></div>
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<span style="font-size: large;"><b><span style="text-indent: -14.2pt;">25. Defina que es una curva llamada </span><span style="text-indent: -14.2pt;">catenaria</span><span style="text-indent: -14.2pt;"> y de un ejemplo.</span></b></span></div>
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<span style="font-size: large;"><b>26. Explique porque fallaba el negocio de los 60 melones al reunir todos los de los 2 precios diferentes.</b></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgb8rtAkQWoimwpB6fE7f1l-Ggi-7i4ISwDT2sWIoK_ZRIJMEejAi_3hcvWEYrZiXVjfXsi7vRpW8OOTDmqiGhietka7Vdz8vk7zbypB5u_iJgnLM4J1oN63X2Si-prBwXiIEThktTpI8k/s1600/172.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center; text-indent: -18pt;"><span style="font-size: large;"><b><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgb8rtAkQWoimwpB6fE7f1l-Ggi-7i4ISwDT2sWIoK_ZRIJMEejAi_3hcvWEYrZiXVjfXsi7vRpW8OOTDmqiGhietka7Vdz8vk7zbypB5u_iJgnLM4J1oN63X2Si-prBwXiIEThktTpI8k/s1600/172.jpg" /></b></span></a></div>
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<span style="font-size: large; line-height: 27.6px;"><b>HOLA: ESTUDIANTES DE GRADO DÉCIMO, CURSOS 1001 Y 1003, DEL COLEGIO NUEVA COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS DEL 1 AL 12 DE LA OBRA “EL HOMBRE QUE CALCULABA ” COPIAR Y RESPONDER ESTAS 26 PREGUNTAS Y ENVIARLAS AL CORREO: hrmatematicas5@gmail.com DEBIDAMENTE MARCADAS CON PORTADA (que tenga nombre y curso)… GRACIAS…EL PLAZO MÁXIMO ES DÍA MARZO 23 DE 2020 ANTES DE LAS 12 de la noche, DESPUÉS DE ESTA HORA Y FECHA NO SE TENDRÁN EN CUENTA ‼‼‼ Si no es posible enviarlas por correo, se recibirán el día Marzo 24 de 2020 en hojas, en el Laboratorio de Física a las 6 AM… LUEGO SE RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES EVALUACIONES. El trabajo es individual, si se nota copia o plagio de trabajos de otros compañeros no se tendrán en cuenta.</b></span></div>
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Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-69744809313983111742019-09-19T22:30:00.000-07:002019-09-19T16:59:14.884-07:00PREGUNTAS DEL LIBRO "MALDITAS MATEMATICAS" <div align="center" class="MsoNormal" style="text-align: center;">
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<span style="color: #002060; font-size: large; line-height: 115%;"><b>ESTUDIANTES
DE GRADO DÉCIMO: CURSOS 1003, 1004 Y 1005, LAS PREGUNTAS DE LIBRO “ EL HOMBRE
QUE CALCULABA”, ESTÁN ABAJO EN LA ANTERIOR ENTRADA.<o:p></o:p></b></span></div>
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<b><span style="color: #c00000; font-size: large; line-height: 115%;">PREGUNTAS
DEL LIBRO “MALDITAS MATEMÁTICAS” CAPITULOS 8 - 15<o:p></o:p></span></b></div>
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<o:p><span style="font-size: large;"><a href="http://www.librosmaravillosos.com/malditasmatematicas/index.html"><span style="color: red;">IR AL LIBRO "MALDITAS MATEMATICAS"</span></a> </span></o:p><br />
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<span style="font-size: large;"><b>ESTUDIANTES DE LOS CURSOS 805 Y 806 DEL COLEGIO NUEVA
COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS DEL 8 AL 15 DE LA OBRA “MALDITAS MATEMÁTICAS”
RESPONDER ESTAS 30 PREGUNTAS COPIÁNDOLAS Y ENVIARLAS AL CORREO: hrmatematicas5@gmail.com DEBIDAMENTE
MARCADAS CON PORTADA … GRACIAS…EL PLAZO MÁXIMO ES DÍA OCTUBRE 14 DE 2019 ANTES
DE LAS 12 de la noche, DESPUÉS DE ESTA HORA Y FECHA NO SE TENDRÁN
EN CUENTA ‼‼‼ si no es posible enviarlas por correo, se
recibirán el día Octubre 15 de 2019 en hojas, en el Laboratorio de Física a las
6 AM... LUEGO SE RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES
EVALUACIONES. Cualquier duda déjela como comentario. El trabajo es individual,
si se nota copia o plagio de trabajos de otros compañeros no se tendrán en
cuenta.</b></span></div>
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<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX"><span style="color: red;">CAPÍTULO 8: EL
DESIERTO DE TRIGO</span></span></b></div>
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">1. Al
salir Charlie y Alicia a ese inmenso y ondulado desierto amarillo, de qué
estaba lleno el piso? Y a que se debía tanto material vegetal?</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">2. Cómo
era y estaba vestido el rey Shirham? A quién le estaba pagando la deuda?</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">3. Cómo
fue el trato con el inventor del ajedrez? Explique brevemente.</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">4. A
cuántos granos de trigo, equivale la deuda? Y cuántos años se tardará en
pagarla? Explique.</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">5. Dibuje
el tablero de de Ajedrez con sus piezas y describa como le ganó Alicia en el
menor número de jugadas.</span></b></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX"><span style="color: orange;">CAPÍTULO 9: UN
BOSQUE DE NÚMEROS.</span></span></b></div>
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<span style="color: orange; font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">6. Luego
de rodar en la alfombra mágica que les regaló el rey Shirham, a dónde llegaron?
Cómo era el bosque de números?</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">7. Ahora
escriba los números del 1 al 100, formando cuadrados como le explicó Charlie a
Alicia.</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">8. Haga
una pequeña biografía de Carl Friedrich Gauss.</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">9. Cómo
hizo Gauss para sumar los números de 1 a 100, cuánto le dio?</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">10. Defina
que es una “progresión aritmética” y una “progresión geométrica”.</span></b></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><span style="color: blue;"><b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">CAPÍTULO 10: EL TÉ
DE LOS CINCO</span></b></span></div>
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<span style="color: blue;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span></span><b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">11. Quiénes
estaban tomando el té de los cinco? De qué formas se puede expresar media tarta
de manzana?</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">12. En
qué consiste nuestro sistema posicional?</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">13. Qué
es un decímetro cúbico? Un centímetro cúbico? Porqué un cuarto de litro es lo
mismo que 250 centímetros cúbicos?</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">14. Explique
la relación que hay entre las unidades de volumen, capacidad y peso.</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">15. Que
significa “sistema métrico decimal”?. Qué relación tiene el metro con las
medidas de la tierra?</span></b></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX"><span style="color: purple;">CAPITULO 11: LA SONRISA ENIGMÁTICA</span></span></b></div>
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<span style="color: purple; font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">16. Como
resolvieron el problema que un ladrillo pesa un kilogramo más medio ladrillo?
Haga un dibujo.</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">17. Cuánto
pesa un ladrillo y como se resuelve con ecuaciones?</span></b></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX"><span style="color: #38761d;">CAPÍTULO 12: EL
CUADRADO MÁGICO</span></span></b></div>
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<span style="color: #38761d; font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">18. Qué
es un cuadrado mágico?</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">19. Haga
un cuadrado mágico de orden tres para cada uno de los siguientes grupos de
números:</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">a. 2, 4, 6, 8, 10, 12, 14, 16, 18</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">b. 3, 4, 5, 6, 7, 8, 9, 10, 11</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">c. 5, 10 15, 20, 25, 30, 35, 40, 45</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">20. Haga
un cuadrado mágico de orden cuatro, para el siguiente conjunto de números:</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX"> 5,
6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20</span></b></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><span style="color: #674ea7;"><b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">CAPÍTULO 13: EL
MATEMAGO</span></b></span></div>
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<span style="color: #674ea7;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span></span><b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">21. Qué
es un poliedro?</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">22. Dibuje
los cinco poliedros platónicos o regulares: tetraedro regular, cubo, octaedro,
dodecaedro e icosaedro. Indique los nombres, forma de las caras y cuántas
tiene.</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">23. Porqué
todo número elevado a la potencia cero es igual a uno? Justifique su respuesta
con ejemplos.</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">24. Si
a la tabla mágica de potencias de dos, le agregamos la columna del 16, hasta
que número máximo se puede adivinar?</span></b></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX"><span style="color: #cc0000;">CAPITULO 14: LOS
CONEJOS DE FIBONACCI</span></span></b></div>
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<span style="color: #cc0000; font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">25. Haga
una breve biografía en diez renglones, de Leonardo de Pisa, o como se conoce
comúnmente como Fibonacci.</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">26. Escriba
los primeros 12 números de la serie de Fibonacci.</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">27. Si
escribes un número de tres cifras, y lo repites, luego lo divides por 7 y por
11 y enseguida por 13. Cuánto nos da? Dé un ejemplo con todos sus pasos.</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">28. Quién
era el Matemago?</span></b></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX"><span style="color: #6aa84f;">CAPÍTULO 15:
EPÍLOGO</span></span></b></div>
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<span style="color: #6aa84f; font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">29. De
acuerdo a lo que sucedió en este capítulo, tú crees que todo fue un sueño de
Alicia.</span></b><br />
<b style="font-family: Arial, Helvetica, sans-serif; font-size: x-large;"><span lang="ES-MX">30. Escriba
un comentario individual y personal, sobre esta lectura, en 10 renglones.</span></b></div>
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<div class="MsoNormal">
<span style="font-size: large;"><b>ESTUDIANTES DE LOS CURSOS 805 Y 806 DEL COLEGIO NUEVA
COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS DEL 8 AL 15 DE LA OBRA “MALDITAS MATEMATICAS”
RESPONDER ESTAS 30 PREGUNTAS COPIÁNDOLAS Y ENVIARLAS AL CORREO:
hrmatematicas5@gmail.com DEBIDAMENTE MARCADAS CON PORTADA … GRACIAS…EL
PLAZO MÁXIMO ES DÍA OCTUBRE 14 DE 2019 ANTES DE LAS 12 de la noche, DESPUÉS DE
ESTA HORA Y FECHA NO SE TENDRÁN EN CUENTA</b><b><span style="color: windowtext; text-decoration: none; text-underline: none;"><!--[endif]--></span></b><b> ‼‼‼
si no es posible enviarlas por correo, se recibirán el día Octubre 15 de 2019 en hojas DE EXAMEN, en el Laboratorio de Física a las 6 AM...
LUEGO SE RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES EVALUACIONES.
Cualquier duda déjela como comentario. El trabajo es individual, si se nota
copia o plagio de trabajos de otros compañeros no se tendrán en cuenta.</b></span></div>
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Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-5371259991826288692019-09-19T20:42:00.000-07:002019-09-19T16:07:57.869-07:00PREGUNTAS SOBRE EL LIBRO "EL HOMBRE QUE CALCULABA"<div align="center" class="MsoNormal" style="text-align: center;">
<b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><a href="http://www.librosmaravillosos.com/hombrecalculaba/index.html"><span style="color: red;">IR AL LIBRO "EL HOMBRE QUE CALCULABA"</span></a></span></b></div>
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<b><a href="https://sites.google.com/site/hrmatematicas/"><span style="color: #741b47;">IR A LA PÁGINA WEB</span></a></b></div>
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<span style="color: #274e13;"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">PREGUNTAS
SOBRE EL LIBRO “EL HOMBRE QUE CALCULABA”</span></b><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p></o:p></span></b></span></div>
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<b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><span style="color: #741b47;">CAPÍTULOS 25 – 35</span></span></b><br />
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<b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"> ESTUDIANTES DE GRADO DÉCIMO, CURSOS 1003, 1004 Y 1005, DEL COLEGIO NUEVA COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS DEL 25 AL 35 DE LA
OBRA “EL HOMBRE QUE CALCULABA” RESPONDER ESTAS 23 PREGUNTAS Y ENVIARLAS
AL CORREO: hrmatematicas5@gmail.com DEBIDAMENTE MARCADAS CON PORTADA (que
tenga nombre y curso)… GRACIAS…EL PLAZO MÁXIMO ES DÍA OCTUBRE 14 DE 2019 ANTES DE LAS 12 de la noche, DESPUÉS DE ESTA HORA Y FECHA NO SE TENDRÁN EN
CUENTA ‼‼‼ Si no es posible enviarlas por correo, se recibirán el
día Octubre 15 de 2019 en hojas, en el Laboratorio de Física a las 6 AM…
LUEGO SE RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES EVALUACIONES.
Cualquier duda déjela como comentario. El trabajo es individual, si se nota
copia o plagio de trabajos de otros compañeros no se tendrán en cuenta.<o:p></o:p></span></b><br />
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<span style="color: red; font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>CAPITULO 25 - EL PROBLEMA DE DIOFANTO</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b><span style="line-height: 115%;">1.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;">
</span></span></b><!--[endif]--><b>Plantee
y solucione la ecuación propuesta por Diofanto al morir, y halle los datos
sobre los episodios de su vida.<o:p></o:p></b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b><span style="line-height: 115%;">2.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;">
</span></span></b><!--[endif]--><b>Porqué
17,18 y 26 se comportan con idénticas propiedades a los cubos perfectos 1, 8, y
27?. Cómo murió Arquímedes?<o:p></o:p></b></span></div>
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<b><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><span style="color: blue;">CAPÍTULO 26 - RELACIONES NUMÉRICAS DEL
CORÁN</span><o:p></o:p></span></b></div>
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<b><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><span style="color: blue;"><br /></span></span></b></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>3.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;">
</span></b><!--[endif]--><b>Que decía el mensaje que le escribió Telassim al
calculista, y que encontró junto con el anillo que le entrego el Sheik Iezid?<o:p></o:p></b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b><span style="line-height: 115%;">4.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;">
</span></span></b><!--[endif]--><b><span style="line-height: 115%;">Cuántas veces se nombra a Jesús en el
Corán?<o:p></o:p></span></b></span></div>
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<b><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><span style="color: #38761d;">CAPÍTULO 27 - EL GEÓMETRA QUE NO PODÍA
MIRAR AL CIELO</span><o:p></o:p></span></b></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>5.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;">
</span></b><!--[endif]--><b>Quién fue Eratóstenes? En qué consiste la “Criba de
Eratóstenes”?<o:p></o:p></b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>6.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;">
</span></b><!--[endif]--><b>Cómo fue su suicidio? Qué lo llevó a tomar tal
determinación?<o:p></o:p></b></span></div>
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<b><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><span style="color: #bf9000;">CAPÍTULO 28- LA FALSA INDUCCIÓN</span><o:p></o:p></span></b></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>7.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;">
</span></b><!--[endif]--><b>Qué característica tienen los números cuadrados:2025,
3025 y 9801?<o:p></o:p></b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>8.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;">
</span></b><!--[endif]--><b>En qué consiste la “inducción matemática”?<o:p></o:p></b></span></div>
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<b><span style="color: #a64d79; font-family: Arial, Helvetica, sans-serif; font-size: large;">CAPITULO 29 - LA MULTIPLICACIÓN MILAGROSA<o:p></o:p></span></b></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>9.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;">
</span></b><!--[endif]--><b>Cómo combinó cada uno de los tres sabios citados por
el rey Astor, la parte material y espiritual de la vida?<o:p></o:p></b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>10.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;"> </span></b><!--[endif]--><b>Cuál es la
famosa multiplicación que tiene un solo factor?<o:p></o:p></b></span></div>
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<b><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><span style="color: #cc0000;">CAPÍTULO 30 - LA DIVISIÓN DE TRES POR DOS</span><o:p></o:p></span></b></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>11.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;"> </span></b><!--[endif]--><b>Porqué al
león no le gustó la división de tres por tres que hizo el tigre?<o:p></o:p></b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>12.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;"> </span></b><!--[endif]--><b>Porque la
división que hizo el chacal de tres por dos, que hizo el chacal, si le pareció
justa y equitativa?<o:p></o:p></b></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b><br /></b></span></div>
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<b><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><span style="color: #a64d79;">CAPITULO 31- EL PROBLEMA DE LOS CINCO
DISCOS</span><o:p></o:p></span></b></div>
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<b><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><br /></span></b></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>13.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;"> </span></b><!--[endif]--><b>De qué color
tenía el príncipe Aradin el disco en la espalda?<o:p></o:p></b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b><span style="line-height: 115%;">14.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;">
</span></span></b><!--[endif]--><b><span style="line-height: 115%;">Cuál fue el razonamiento lógico que
hizo para concluir que era de ese color</span><o:p></o:p></b></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b><span style="line-height: 115%;"><br /></span></b></span></div>
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<b><span style="color: red; font-family: Arial, Helvetica, sans-serif; font-size: large;">CAPÍTULO 32 - ALÍ BABÁ Y LOS CUARENTA
LADRONES<o:p></o:p></span></b></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>15.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;"> </span></b><!--[endif]--><b>Qué
propiedades tiene el número 40 que lo hace diferente a los demás?<o:p></o:p></b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>16.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;"> </span></b><!--[endif]--><b>De acuerdo al
problema del historiador Josefo, en qué lugar debe estar para salvarse de la
matanza?<o:p></o:p></b></span></div>
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<b><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><span style="color: purple;">CAPÍTULO
33 - PROBLEMAS IMPOSIBLES</span><o:p></o:p></span></b></div>
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<b><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><span style="color: lime;"><br /></span></span></b></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>17.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;"> </span></b><!--[endif]--><b>Cuáles son
los tres problemas que hasta el momento se cree son imposible de solucionar?<o:p></o:p></b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>18.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;"> </span></b><!--[endif]--><b>Como se ha
trabajado en cada uno con el fin de solucionarlos?<o:p></o:p></b></span></div>
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<b><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><span style="color: magenta;">CAPÍTULO 34 -LOS OJOS NEGROS Y AZULES</span><o:p></o:p></span></b></div>
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<b><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><span style="color: magenta;"><br /></span></span></b></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>19.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;"> </span></b><!--[endif]--><b>Qué problema
tenía que solucionar el calculista para poder casarse don Telassim?<o:p></o:p></b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>20.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;"> </span></b><!--[endif]--><b>Porque no
aceptó todas las riquezas, palacios y títulos que le ofreció el califa
Al-Motacen?<o:p></o:p></b></span></div>
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<b><span style="color: blue; font-family: Arial, Helvetica, sans-serif; font-size: large;">CAPÍTULO 35 - ÚLTIMO CAPÍTULO<o:p></o:p></span></b></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>21.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;"> </span></b><!--[endif]--><b>Cuál fue el
final del sheik Iezid y el califa Al-Motacen?<o:p></o:p></b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>22.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;"> </span></b><!--[endif]--><b>Qué pasó
finalmente con el hombre que calculaba Beremís y el acompañante y narrador de
la historia?<o:p></o:p></b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif;"><span style="font-size: large;"><b>23.<span style="font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-weight: normal; line-height: normal;"> </span></b><!--[endif]--></span><b><span style="font-size: large;">Haga un
comentario final personal sobre la lectura del libro. Si le gustó o no y por
qué?</span><span style="font-size: 12pt;"><o:p></o:p></span></b></span></div>
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<b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"> ESTUDIANTES DE GRADO DÉCIMO, CURSOS 1003, 1004 Y 1005, DEL COLEGIO NUEVA
COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS DEL 25 AL 35 DE LA OBRA “EL HOMBRE
QUE CALCULABA” RESPONDER ESTAS 23 PREGUNTAS Y ENVIARLAS AL CORREO:
hrmatematicas5@gmail.com DEBIDAMENTE MARCADAS CON PORTADA (que tenga
nombre y curso)… GRACIAS…EL PLAZO MÁXIMO ES DÍA OCTUBRE 14 DE 2019 ANTES DE
LAS 12 de la noche, DESPUÉS DE ESTA HORA Y FECHA NO SE TENDRÁN EN CUENTA ‼‼‼
Si no es posible enviarlas por correo, se recibirán el día Octubre 15 de 2019 en hojas, en el Laboratorio de Física a las 6 AM… LUEGO SE
RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES EVALUACIONES. Cualquier duda
déjela como comentario. El trabajo es individual, si se nota copia o plagio de
trabajos de otros compañeros no se tendrán en cuenta.</span></b><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p></o:p></span></b></div>
Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-45982711973156320052017-08-27T17:07:00.000-07:002017-08-28T17:59:34.099-07:00PREGUNTAS DEL LIBRO "EL DIABLO DE LOS NÚMEROS" CAP 4 - 6<div class="post-body entry-content" id="post-body-6974480931398311174" itemprop="description articleBody" style="background-color: #cfe2f3; line-height: 1.4; position: relative; width: 640px;">
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<b><span style="line-height: 20.7px;"><span style="color: #002060; font-family: "arial" , "tahoma" , "helvetica" , "freesans" , sans-serif; font-size: medium;">ESTUDIANTES DE GRADO ONCE: CURSOS 1101, 1102 Y 1103, LAS PREGUNTAS DE LIBRO “ EL ASESINATO DEL PROFESOR DE MATEMÁTICAS”, ESTÁN ABAJO EN LA ANTERIOR ENTRADA.<o:p></o:p></span></span></b></div>
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<b><span style="line-height: 20.7px;"><span style="color: #c00000; font-family: "arial" , "tahoma" , "helvetica" , "freesans" , sans-serif; font-size: medium;">PREGUNTAS DEL LIBRO “EL DIABLO DE LOS NÚMEROS” </span></span></b></div>
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<b><span style="line-height: 20.7px;"><span style="color: #c00000; font-family: "arial" , "tahoma" , "helvetica" , "freesans" , sans-serif; font-size: medium;">CAPÍTULOS 7-9<o:p></o:p></span></span></b></div>
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<o:p><span style="color: purple;"><b><a href="http://www.librosmaravillosos.com/eldiablodelosnumeros/index.html" style="text-decoration: none;">IR AL LIBRO "EL DIABLO DE LOS NÚMEROS"</a> </b></span></o:p></div>
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<span style="font-size: large;"><b>ESTUDIANTES DE GRADO NOVENO DEL COLEGIO NUEVA COLOMBIA IED… SE DEBEN
LEER LOS CAPÍTULOS DEL 7 AL 9 DE LA OBRA “EL DIABLO DE LOS NÚMEROS”
RESPONDER ESTAS 22 PREGUNTAS Y ENVIARLAS AL CORREO:</b> <a href="mailto:hrmatematicas7@gmail.com">hrmatematicas5@gmail.com</a> <b>DEBIDAMENTE
MARCADAS CON PORTADA DONDE ESTE EL NOMBRE Y EL CURSO … GRACIAS… EL PLAZO MÁXIMO
ES EL DIA SEPTIEMBRE 10 DE 2017 ANTES DE LAS 12 DE LA NOCHE, DESPUÉS DE ESTA HORA Y
FECHA NO SE TENDRÁN EN CUENTA!!!! Si no es posible enviarlas por correo, se
recibirán el día Septiembre 11 de 2017 en hojas, en el Laboratorio de Física a las 6
AM... LUEGO SE RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES
EVALUACIONES. Cualquier duda déjela como comentario. El trabajo es individual,
si se nota copia o plagio de trabajos de otros compañeros no se tendrán en
cuenta.<o:p></o:p></b></span></div>
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<b><span style="color: red; font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><span style="font-family: "arial" , "tahoma" , "helvetica" , "freesans" , sans-serif;">CAPITULO 7: LA </span>SÉPTIMA<span style="font-family: "arial" , "tahoma" , "helvetica" , "freesans" , sans-serif;"> NOCHE NOCHE<o:p></o:p></span></span></b></div>
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<li style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large; font-weight: bold;"><b>Por qué estaba
preocupada la madre de Robert?</b></li>
<li style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large; font-weight: bold;"><b>Con quienes
se encontró Robert cuando salió a la pradera? Que estaban haciendo?</b></li>
<li style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large; font-weight: bold;"><b>A dónde lo
llevó el diablo de los números en la séptima noche?</b></li>
<li style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large; font-weight: bold;"><b>Qué figura
formaron con esos cubos?</b></li>
<li style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large; font-weight: bold;"><b>Cómo comenzaron
a enumerar ese triángulo?</b></li>
<li style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large; font-weight: bold;"><b>Cómo completaron
el triángulo? cada número como lo sacaron?</b></li>
<li style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large; font-weight: bold;"><b>Cómo sacó
las potencias de 2?</b></li>
<li style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large; font-weight: bold;"><b>Al sumar en
diagonal los números de un mismo color que serie nos da?</b></li>
<li style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large; font-weight: bold;"><b>Qué figuras
forman los números pares?</b></li>
<li style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large; font-weight: bold;"><b>Al iluminarse
todos los múltiplos de 5, que figuras se forman en el triángulo</b></li>
</ol>
<b style="font-family: arial, tahoma, helvetica, freesans, sans-serif;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><span style="color: #351c75;">CAPITULO 8: LA OCTAVA NOCHE</span></span></b><br />
<span style="color: #351c75; font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><b style="color: #351c75; font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large;">11. </b><b style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large;">Cuántas posibilidades
salieron después de intercambiar los puestos: Albert, Bettina y Charlie?</b><span style="color: #351c75; font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><b style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large;">12. Con cuatro
estudiantes, cuántas posibilidades de intercambiar de puestos hay?</b><span style="color: #351c75; font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><b style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large;">13. Estos números
se llaman factoriales (pum!), halle los siguientes: 5!, 6!, 7! 8!, 9! 10!</b><span style="color: #351c75; font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><b style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large;">14. Cuántos apretones
de manos se darán 10 personas si todas se saludan entre sí?</b><span style="color: #351c75; font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><b style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large;">15. Estos números
también nos indica el número de diagonales que tiene una figura geométrica, cuántas diagonales tiene un hexágono? Y un octágono?</b><span style="color: #351c75; font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><b style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large;">16. Cuántos
grupos distintos de tres personas se pueden formar con 5 personas? Y con 7
personas?</b><span style="color: #351c75; font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><br /></b></span><b style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large;">17. Cómo saca
los grupos del triángulo numérico?</b><br />
<b style="color: #351c75; font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><span style="color: #4c1130;"><br /></span></span></b>
<b style="color: #351c75; font-family: arial, tahoma, helvetica, freesans, sans-serif;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><span style="color: #4c1130;">CAPITULO 9: LA NOVENA NOCHE</span></span></b><br />
<b style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large;"><br /></b>
<b style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large;">18. Cuando tuvo
gripe y fiebre con que soñaba Robert?</b><br />
<b style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large;">19. Con quiénes
llego el Diablo de los números esta noche?</b><br />
<b style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large;">20. Qué filas de
números se formaron en la alcoba de Robert?</b><br />
<b style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large;">21. A qué número
se aproxima la suma de los racionales en los cuales el numerador es 1 y como denominadores las potencias de 2?</b><br />
<b style="font-family: arial, tahoma, helvetica, freesans, sans-serif; font-size: x-large;">22. Y si los
denominadores no son las potencias de 2?</b><br />
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<span style="font-size: large;"><b>ESTUDIANTES DEL GRADO NOVENO DEL COLEGIO NUEVA COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS DEL 7 AL 9 DE LA OBRA “EL DIABLO DE LOS NÚMEROS” RESPONDER ESTAS 22 PREGUNTAS COPIÁNDOLAS Y ENVIARLAS AL CORREO: hrmatematicas5@gmail.com DEBIDAMENTE MARCADAS CON PORTADA … GRACIAS…EL PLAZO MÁXIMO ES DÍA SEPTIEMBRE 10 DE 2017 ANTES DE LAS 12 AM, DESPUÉS DE ESTA HORA Y FECHA NO SE TENDRÁN EN </b><a href="http://hrmatematicas.blogspot.com/" style="color: #888888; text-decoration: none;" title="Click to Continue > by PutLockerDownloader V6.0"><b>CUENTA</b><b><span style="color: windowtext;"></span></b></a><b> ‼‼‼ si no es posible enviarlas por correo, se recibirán el día SEPTIEMBRE 11 de 2017 en hojas DE EXAMEN, en el Laboratorio de Física a las 6 AM... LUEGO SE RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES EVALUACIONES. Cualquier duda déjela como comentario. El trabajo es individual, si se nota copia o plagio de trabajos de otros compañeros no se tendrán en cuenta.</b></span></div>
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Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-75209775974893373132017-08-20T07:37:00.000-07:002017-08-21T12:22:42.859-07:00PREGUNTAS DEL LIBRO " QUE ES LA TEORÍA DE LA RELATIVIDAD" CAPÍTULOS 5 Y 6<div align="center" class="MsoNormal" style="text-align: center;">
<b><span style="line-height: 20.7px;"><span style="color: #002060; font-family: "arial" , "tahoma" , "helvetica" , "freesans" , sans-serif;">ESTUDIANTES DEL CURSO 902, LAS PREGUNTAS DE LIBRO “ EL DIABLO DE LOS NÚMEROS”, ESTÁN ABAJO EN LA ANTERIOR ENTRADA.<o:p></o:p></span></span></b></div>
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<b><span style="line-height: 20.7px;"><span style="color: purple;"><span style="font-family: "arial" , "tahoma" , "helvetica" , "freesans" , sans-serif;">ESTUDIANTES DE GRADO ONCE: CURSOS 1101, 1102 Y 1103, LAS PREGUNTAS DEL LIBRO “ EL ASESINATO DEL PROFESOR DE MATEMÁTICAS”, ESTÁN ABAJO EN UNA ENTRADA </span></span></span></b><b style="font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 15.4px;"><span style="line-height: 20.7px;"><span style="font-family: "arial" , "tahoma" , "helvetica" , "freesans" , sans-serif;"><span style="color: purple;">ANTERIOR.</span></span></span></b></div>
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<b><span style="line-height: 20.7px;"><span style="color: #c00000; font-family: "arial" , "tahoma" , "helvetica" , "freesans" , sans-serif;">PREGUNTAS DEL LIBRO “QUÉ ES LA TEORÍA DE LA RELATIVIDAD” </span></span></b></div>
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<b><span style="line-height: 20.7px;"><span style="color: #c00000; font-family: "arial" , "tahoma" , "helvetica" , "freesans" , sans-serif;">CAPÍTULOS 5 - 6<o:p></o:p></span></span></b></div>
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<o:p><span style="color: purple;"><b><a href="http://www.librosmaravillosos.com/queeslateoriadelarelatividad/index.html" style="color: #888888; text-decoration: none;">IR AL LIBRO "QUE ES LA TEORÍA DE LA RELATIVIDAD"</a> </b></span></o:p></div>
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>PREGUNTAS DEL LIBRO “QUÉ ES LA TEORÍA DE LA RELATIVIDAD”</b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b><span style="font-family: "arial" , "tahoma" , "helvetica" , "freesans" , sans-serif;">ESTUDIANTES
DE CURSO 1002 DEL COLEGIO NUEVA COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS DEL 5 AL 6 DE LA OBRA “QUE ES LA TEORÍA DE LA RELATIVIDAD” RESPONDER ESTAS 22 PREGUNTAS
Y ENVIARLAS AL CORREO:</span></b><span style="font-family: "arial" , "tahoma" , "helvetica" , "freesans" , sans-serif;"> </span><a href="mailto:hrmatematicas7@gmail.com" style="font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;">hrmatematicas5@gmail.com</a><span style="font-family: "arial" , "tahoma" , "helvetica" , "freesans" , sans-serif;"> </span><b style="font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;">DEBIDAMENTE
MARCADAS CON PORTADA DONDE ESTE EL NOMBRE Y EL CURSO … GRACIAS… EL PLAZO MÁXIMO
ES EL DÍA SEPTIEMBRE 3 DE 2017 ANTES DE LAS 12 DE LA NOCHE, DESPUÉS DE ESTA HORA Y
FECHA NO SE TENDRÁN EN CUENTA!!!! Si no es posible enviarlas por correo, se
recibirán el día Septiembre 4 de 2017 en hojas, en el Laboratorio de Física a las 6
AM... LUEGO SE RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES
EVALUACIONES. Cualquier duda déjela como comentario. El trabajo es INDIVIDUAL,
si se nota copia o plagio de trabajos de otros compañeros no se tendrán en
cuenta.<o:p></o:p></b></span><br />
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<span style="color: red; font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b>CAPITULO 5: LOS RELOJES Y LAS LINEAS ESTÁN CAPRICHOSOS</b></span><br />
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<!--[if !supportLists]-->1.<span style="font-size: 7pt; font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>Cuál es la distancia entre las dos estaciones? A
qué velocidad va el tren de Einstein? Y cuánto se demora para pasar de una
estación a la otra?</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>2.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Porqué al pasajero del tren se le atrasó el
reloj de una estación a la otra?</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>3.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Porqué el pasajero que va en el vagón ve la
trayectoria diferente a como la ve una persona en el andén? Para el observador en el andén porqué forma un
triangulo isósceles el rayo de luz que va y vuelve del piso al techo del vagón?</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>4.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Cuál es la velocidad de la luz por segundo? Y
cuál es la velocidad del tren de Einstein?</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>5.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Porqué mientras en el andén transcurrieron 10
segundos en el tren solo transcurrieron 6 segundos?</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>6.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Cuánto se atrasa un reloj en el vagón respecto
de un reloj en el andén en una hora? ¿No significa esto que aquellos relojes
que andan más rápidamente que los demás son los que se encuentran en reposo
absoluto? </b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>7.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Qué pasa si el pasajero del tren viaja 24 horas
a la velocidad de la luz, regresando a su casa? Que ha pasado con sus
parientes? Para él viajando en el tren han pasado 24 horas, cuántos años han
pasado en su casa que está en reposo en la estación?</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>8.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Existen cuerpos en reposo absoluto? Porque?</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>9.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Viajando a la velocidad de la luz podemos viajar
al futuro, que contradicciones se generan? Y si algún día se puede viajar al
pasado, que otras controversias generará?</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>10.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Al viajar a una estrella distante a 40 años luz,
viajando en el cohete de Einstein nos tardaríamos 50 años, porque este tiempo
se puede reducir hasta a un minuto?</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>11.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Porqué el organismo humano no está adaptado para
viajar a la velocidad de la luz?</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>12.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Y cuál sería el gasto de energía para llevar el
cohete de Einstein hasta esa velocidad, sostenerla y disminuirla para poder
aterrizar?</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>13.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Porqué se reducen los objetos a la velocidad de
la luz?</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>14.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Como ven dos observadores, el tren y el andén,
si uno permanece en el andén y el otro va en el tren?</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>15.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Porqué para velocidades cercanas a la velocidad
de la luz, no se acepta la suma de velocidades que puedan superarla?</b></span></div>
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<span style="color: #351c75; font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>CAPITULO 6. EL TRABAJO CAMBIA A LA MASA</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>16.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Porqué una bola de plomo de igual tamaño que una
de madera tiene más masa?</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>17.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Porque la masa crece a medida que el cuerpo se
aproxima a la velocidad de la luz?</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>18.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->La masa del tren de Einstein a una velocidad de
240000 kilómetros por segundo, cuántas veces es superior a un tren en reposo?</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>19.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Cualquier aumento de energía aumenta la masa de
un cuerpo, así mismo al calentar un cuerpo, aumenta o disminuye su masa y
porqué?</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>20.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Cuánta energía se necesita para aumentar la masa
de un cuerpo un gramo?</b></span></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>21.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Porqué un gramo de luz es más caro que un gramo
de radio que es la sustancia más cara?</b></span></div>
<span style="color: red; font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><b>22.<span style="font-stretch: normal; font-variant-numeric: normal; line-height: normal;">
</span><!--[endif]-->Escriba en 10 renglones un comentario sobre las
conclusiones del libro.</b></span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: large;"><b style="text-align: left;"><span style="font-family: "arial" , "tahoma" , "helvetica" , "freesans" , sans-serif;">ESTUDIANTES DE CURSO 1002 DEL COLEGIO NUEVA COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS DEL 5 AL 6 DE LA OBRA “QUE ES LA TEORÍA DE LA RELATIVIDAD” RESPONDER ESTAS 22 PREGUNTAS Y ENVIARLAS AL CORREO:</span></b><span style="text-align: left;"> </span><a href="mailto:hrmatematicas7@gmail.com" style="text-align: left;">hrmatematicas5@gmail.com</a><span style="text-align: left;"> </span><b style="text-align: left;">DEBIDAMENTE MARCADAS CON PORTADA DONDE ESTE EL NOMBRE Y EL CURSO … GRACIAS… EL PLAZO MÁXIMO ES EL DIA SEPTIEMBRE 3 DE 2017 ANTES DE LAS 12 DE LA NOCHE, DESPUÉS DE ESTA HORA Y FECHA NO SE TENDRÁN EN CUENTA!!!! Si no es posible enviarlas por correo, se recibirán el día Septiembre 4 de 2017 en hojas, en el Laboratorio de Física a las 6 AM... LUEGO SE RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES EVALUACIONES. Cualquier duda déjela como comentario. El trabajo es INDIVIDUAL, si se nota copia o plagio de trabajos de otros compañeros no se tendrán en cuenta.</b></span></div>
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Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-14706175615159853312015-05-18T16:27:00.001-07:002015-10-08T17:58:55.366-07:00PREGUNTAS SOBRE EL LIBRO "EL ASESINATO DEL PROFESOR DE MATEMÁTICAS" CAP 17 - 21<div class="MsoNormal">
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<b><a href="http://www.librosmaravillosos.com/elasesinatodelprofesordematematicas/index.html"><span style="color: #990000;">IR AL LIBRO "EL ASESINATO DEL PROFESOR DE MATEMATICAS"</span></a></b><br />
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<b><a href="https://sites.google.com/site/hrmatematicas/home"><span style="color: #274e13;">IR A LA PAGINA WEB "HRMATEMATICAS"</span></a></b><br />
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<span style="color: red;"><b>PREGUNTAS SOBRE EL LIBRO “EL ASESINATO DEL PROFESOR DE MATEMÁTICAS”</b><b></b></span></div>
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<b><span style="color: #990000;">CAPÍTUL</span></b><b><span style="color: #990000;">OS 17 – 21</span></b></div>
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<b> ESTUDIANTES DE GRADO ONCE DEL COLEGIO NUEVA
COLOMBIA IED… SE DEBEN LEER LOS CAPÍTULOS DEL 17 AL 21 DE LA OBRA “EL ASESINATO
DEL PROFESOR DE MATEMÁTICAS” RESPONDER ESTAS 15 PREGUNTAS Y ENVIARLAS AL
CORREO: hrmatematicas7@gmail.com DEBIDAMENTE MARCADAS CON PORTADA (que
tenga nombre y curso)… GRACIAS…EL PLAZO MÁXIMO ES DÍA OCTUBRE 25 DE 2015 ANTES
DE LAS 12 de la noche, DESPUÉS DE ESTA HORA Y FECHA NO SE TENDRÁN EN CUENTA ‼‼‼
si no es posible enviarlas por correo, se recibirán el día Octubre 26 de 2015 en hojas, en el Laboratorio de Física a las 6 AM... LUEGO SE
RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES EVALUACIONES. Cualquier duda
déjela como comentario. El trabajo es individual, si se nota copia o plagio de
trabajos de otros compañeros no se tendrán en cuenta.</b><br />
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<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: left; margin-right: 1em; text-align: left;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjiewGA3qnLwVFZmgiqYOliJcVqDO3-ELDqmQ33x6G64GNC10aVicfWG5w33GjlxmIkdT_64PLoY5yKAaDJ5AvuXVvYQy16N-nsSY0dRO1M4-zAB6UVzelksDUafKoSHZWfQtb02tr1HMk/s1600/newton.jpg" imageanchor="1" style="clear: left; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjiewGA3qnLwVFZmgiqYOliJcVqDO3-ELDqmQ33x6G64GNC10aVicfWG5w33GjlxmIkdT_64PLoY5yKAaDJ5AvuXVvYQy16N-nsSY0dRO1M4-zAB6UVzelksDUafKoSHZWfQtb02tr1HMk/s320/newton.jpg" width="304" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><b>ISAAC NEWTON</b></td></tr>
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmMOH2lPCx7lhTCZV6tUkSeHlXyfKW-OvP99FL4M8QMzgPsCXlHaKxerpqd4m-0l12jwDIHG262PJJ6fsypgrerOYQqu1ApfXos09yw-m9-hY0wLWNm5q0JHm_NYcWLYaee_Tq1PLgFXI/s1600/1646-1716+Gottfried+Leibniz++268x326.jpg" imageanchor="1" style="clear: right; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmMOH2lPCx7lhTCZV6tUkSeHlXyfKW-OvP99FL4M8QMzgPsCXlHaKxerpqd4m-0l12jwDIHG262PJJ6fsypgrerOYQqu1ApfXos09yw-m9-hY0wLWNm5q0JHm_NYcWLYaee_Tq1PLgFXI/s320/1646-1716+Gottfried+Leibniz++268x326.jpg" width="263" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><b>GOTTFRIED LEIBNIZ</b></td></tr>
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<span style="color: purple;"><b> </b><b>Capítulo 17</b></span></div>
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<li><span style="text-indent: -18pt;">Cuál de los tres estudiantes se fue adelante
corriendo hacia la estatua del parque?</span></li>
<li><span style="text-indent: -18pt;">Donde encontró el sobre? Qué le había pasado al
sobre?</span></li>
<li><span style="text-indent: -18pt;">Ahora solucione el siguiente problema sobre
edades:Preguntaron a Mariela por su edad y ella respondió: "Tomen cuatro
veces los años que tendré dentro de 4 años, a esto réstenle 4 veces los años
que tenía hace 4 años y resultará exactamente la edad que tengo". ¿Qué
edad tiene Mariela? </span></li>
</ol>
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<b style="text-indent: -18pt;"><span style="color: red;">Capítulo 18</span></b><br />
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<span style="text-indent: -18pt;">4.</span><span style="font-size: 7pt; font-stretch: normal; text-indent: -18pt;">
</span><span style="text-indent: -18pt;">Cuántos números de resultados tenían? Cuáles
eran?</span><span style="text-indent: -18pt;"><br /></span><span style="text-indent: -18pt;">5.</span><span style="font-size: 7pt; font-stretch: normal; text-indent: -18pt;">
</span><span style="text-indent: -18pt;">Cuántas letras tiene nuestro alfabeto?</span><span style="text-indent: -18pt;"><br /></span><span style="text-indent: -18pt;">6.</span><span style="font-size: 7pt; font-stretch: normal; text-indent: -18pt;">
</span><span style="text-indent: -18pt;">Al reemplazar los números por letras que palabra
se formaba?</span><span style="text-indent: -18pt;"><br /></span><span style="text-indent: -18pt;"> </span><br />
<b style="text-indent: -18pt;"><span style="color: #351c75;">Capítulo 19</span></b><br />
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<span style="text-indent: -18pt;">7.</span><span style="font-size: 7pt; font-stretch: normal; text-indent: -18pt;">
</span><span style="text-indent: -18pt;">En cuánto tiempo llegaron al colegio los tres
estudiantes?</span><br />
<span style="text-indent: -18pt;">8.</span><span style="font-size: 7pt; font-stretch: normal; text-indent: -18pt;">
</span><span style="text-indent: -18pt;">Qué los detuvo por cinco segundos?</span><br />
<span style="text-indent: -18pt;">9.</span><span style="font-size: 7pt; font-stretch: normal; text-indent: -18pt;">
</span><span style="text-indent: -18pt;">Quienes estaban en la oficina del director del
Colegio?</span><br />
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<b style="text-indent: -18pt;"><span style="background-color: #cfe2f3; color: #274e13;">Capítulo 20</span></b><br />
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<span style="text-indent: -18pt;">10.</span><span style="font-size: 7pt; font-stretch: normal; text-indent: -18pt;">
</span><span style="text-indent: -18pt;">Quién le hizo ese maquillaje Felipe Romero?</span><br />
<span style="text-indent: -18pt;">11.</span><span style="font-size: 7pt; font-stretch: normal; text-indent: -18pt;">
</span><span style="text-indent: -18pt;">A qué le había apostado el Director del Colegio?</span><br />
<span style="text-indent: -18pt;">12.</span><span style="font-size: 7pt; font-stretch: normal; text-indent: -18pt;">
</span><span style="text-indent: -18pt;">Cuánto les puso de nota por este trabajo en
equipo?</span><span style="font-size: 7pt; font-stretch: normal; text-indent: -18pt;"> </span><span style="text-indent: -18pt;">En definitiva cuánto les quedó y porque les
descontó dos unidades?</span><br />
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<b style="text-indent: -18pt;"><span style="color: #7f6000;">Capítulo 21</span></b><br />
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<span style="text-indent: -18pt;">13.</span><span style="font-size: 7pt; font-stretch: normal; text-indent: -18pt;">
</span><span style="text-indent: -18pt;">Porqué volvieron a correr nuestros héroes de
esta historia y con quiénes se encontraron?</span><br />
<span style="text-indent: -18pt;">14. Haga una breve biografía de los dos personajes cuyas fotos aparecen arriba.</span><br />
<span style="text-indent: -18pt;">15.</span><span style="font-size: 7pt; font-stretch: normal; text-indent: -18pt;">
</span><span style="text-indent: -18pt;">Escriba un comentario final, si te gusto o no la
historia, porque se te dificultan o se te facilitan las mates? Algo que
quieras aportar.</span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHNR61pgpM69XQ6njKLvEhZZLiJqRnc1SA6wiXZquWdgpNMBCZO1PQSqQkBzszSt9myud_e7G9F2akvUR6JqfHJlDLi32I2GWtLT5flgYLe5l41h9oPgsTHfLSj7BH4wGxlrO1gw6DpQk/s1600/126.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHNR61pgpM69XQ6njKLvEhZZLiJqRnc1SA6wiXZquWdgpNMBCZO1PQSqQkBzszSt9myud_e7G9F2akvUR6JqfHJlDLi32I2GWtLT5flgYLe5l41h9oPgsTHfLSj7BH4wGxlrO1gw6DpQk/s1600/126.jpg" /></a></div>
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<b>ESTUDIANTES DE GRADO ONCE DEL COLEGIO NUEVA COLOMBIA IED…
SE DEBEN LEER LOS CAPÍTULOS DEL 17 AL 21 DE LA OBRA “EL ASESINATO DEL PROFESOR
DE MATEMÁTICAS” RESPONDER ESTAS 15 PREGUNTAS Y ENVIARLAS AL CORREO: <a href="mailto:hrmatematicas7@gmail.com">hrmatematicas7@gmail.com</a> DEBIDAMENTE
MARCADAS CON EL NOMBRE Y EL CURSO (en Portada)… GRACIAS… EL PLAZO MÁXIMO ES EL DIA OCTUBRE 25 DE 2015 ANTES DE LAS 12 de la noche, DESPUÉS DE ESTA HORA Y FECHA NO SE TENDRÁN
EN CUENTA!!!! Si no es posible enviarlas por correo, se recibirán el día Octubre 26 de 2015 en hojas, en el Laboratorio de Física a las 6 AM... LUEGO SE
RETOMARÁN ALGUNAS DE ESTAS PREGUNTAS EN DIFERENTES EVALUACIONES. Cualquier duda
déjela como comentario. El trabajo es individual, si se nota copia o plagio de
trabajos de otros compañeros no se tendrán en cuenta.</b></div>
<b><br /></b>
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<b>Para leer el libro, de clic sobre el título, o vaya al
enlace: <a href="http://www.librosmaravillosos.com/elasesinatodelprofesordematematicas/index.html">http://www.librosmaravillosos.com/elasesinatodelprofesordematematicas/index.html</a></b></div>
Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.comtag:blogger.com,1999:blog-2988273874444708452.post-63162323348897619462011-06-19T12:09:00.000-07:002011-06-19T18:51:17.007-07:00UN POCO DE HISTORIA Y EL NACIMIENTO DEL CÁLCULO<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="clear: right; float: right; margin-bottom: 1em; text-align: left;"><tbody>
<tr><td style="text-align: center;"><img border="0" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjiewGA3qnLwVFZmgiqYOliJcVqDO3-ELDqmQ33x6G64GNC10aVicfWG5w33GjlxmIkdT_64PLoY5yKAaDJ5AvuXVvYQy16N-nsSY0dRO1M4-zAB6UVzelksDUafKoSHZWfQtb02tr1HMk/s200/newton.jpg" width="190" /></td></tr>
<tr><td class="tr-caption" style="text-align: center;">ISAAC NEWTON</td></tr>
</tbody></table><table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: left; text-align: left;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmMOH2lPCx7lhTCZV6tUkSeHlXyfKW-OvP99FL4M8QMzgPsCXlHaKxerpqd4m-0l12jwDIHG262PJJ6fsypgrerOYQqu1ApfXos09yw-m9-hY0wLWNm5q0JHm_NYcWLYaee_Tq1PLgFXI/s1600/1646-1716+Gottfried+Leibniz++268x326.jpg" imageanchor="1" style="clear: left; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img border="0" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmMOH2lPCx7lhTCZV6tUkSeHlXyfKW-OvP99FL4M8QMzgPsCXlHaKxerpqd4m-0l12jwDIHG262PJJ6fsypgrerOYQqu1ApfXos09yw-m9-hY0wLWNm5q0JHm_NYcWLYaee_Tq1PLgFXI/s200/1646-1716+Gottfried+Leibniz++268x326.jpg" width="164" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">GOTTFRIED W. LEIBNIZ</td></tr>
</tbody></table><br />
<div style="border-bottom: solid #4F81BD 1.0pt; border: none; mso-border-bottom-themecolor: accent1; mso-element: para-border-div; padding: 0cm 0cm 4.0pt 0cm;"><div class="MsoTitle"><span class="apple-style-span"><b><span style="color: blue;">Un poco de historia y el nacimiento del Cálculo<o:p></o:p></span></b></span></div></div><div class="MsoNormal" style="text-align: justify;"><v:shapetype coordsize="21600,21600" filled="f" id="_x0000_t75" o:preferrelative="t" o:spt="75" path="m@4@5l@4@11@9@11@9@5xe" stroked="f"> <v:stroke joinstyle="miter"> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"> <v:f eqn="sum @0 1 0"> <v:f eqn="sum 0 0 @1"> <v:f eqn="prod @2 1 2"> <v:f eqn="prod @3 21600 pixelWidth"> <v:f eqn="prod @3 21600 pixelHeight"> <v:f eqn="sum @0 0 1"> <v:f eqn="prod @6 1 2"> <v:f eqn="prod @7 21600 pixelWidth"> <v:f eqn="sum @8 21600 0"> <v:f eqn="prod @7 21600 pixelHeight"> <v:f eqn="sum @10 21600 0"> </v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:formulas> <v:path gradientshapeok="t" o:connecttype="rect" o:extrusionok="f"> <o:lock aspectratio="t" v:ext="edit"> </o:lock></v:path></v:stroke></v:shapetype><v:shape alt="http://www.uam.es/personal_pdi/ciencias/barcelo/histmatem/calculo/leibnizth.jpg" id="Imagen_x0020_4" o:spid="_x0000_s1027" style="height: 159.75pt; left: 0; margin-left: 289.95pt; margin-top: 30.65pt; mso-position-horizontal-relative: text; mso-position-horizontal: absolute; mso-position-vertical-relative: text; mso-position-vertical: absolute; mso-wrap-distance-bottom: 0; mso-wrap-distance-left: 9pt; mso-wrap-distance-right: 9pt; mso-wrap-distance-top: 0; mso-wrap-style: square; position: absolute; text-align: left; visibility: visible; width: 150pt; z-index: 2;" type="#_x0000_t75" wrapcoords="-216 0 -216 21499 21600 21499 21600 0 -216 0"> <v:imagedata o:title="leibnizth" src="file:///C:\Users\HECTOR\AppData\Local\Temp\msohtmlclip1\01\clip_image001.jpg"> <w:wrap type="through"> </w:wrap></v:imagedata></v:shape><v:shape alt="http://www.uam.es/personal_pdi/ciencias/barcelo/histmatem/calculo/newtonth.jpg" id="Imagen_x0020_1" o:spid="_x0000_s1026" style="height: 159.75pt; left: 0; margin-left: 25.2pt; margin-top: 31.4pt; mso-position-horizontal-relative: text; mso-position-horizontal: absolute; mso-position-vertical-relative: text; mso-position-vertical: absolute; mso-wrap-distance-bottom: 0; mso-wrap-distance-left: 9pt; mso-wrap-distance-right: 9pt; mso-wrap-distance-top: 0; mso-wrap-style: square; position: absolute; text-align: left; visibility: visible; width: 150pt; z-index: 1;" type="#_x0000_t75" wrapcoords="-216 0 -216 21499 21600 21499 21600 0 -216 0"> <v:imagedata o:title="newtonth" src="file:///C:\Users\HECTOR\AppData\Local\Temp\msohtmlclip1\01\clip_image002.jpg"> <w:wrap type="through"> </w:wrap></v:imagedata></v:shape><span class="apple-converted-space"><span style="color: blue; font-size: 26pt; line-height: 115%;"><o:p></o:p></span></span></div><div class="MsoNormal" style="text-align: justify;"><br />
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</div><div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;"><b><span style="color: #7030a0; font-size: 12pt; line-height: 115%;"> <o:p></o:p></span></b></div><div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;"><b><span style="color: #05107d; font-size: 12pt; line-height: 115%;"> </span></b><b><span lang="EN-US" style="color: #05107d; font-size: 12pt; line-height: 115%;"> </span></b><br />
<b><span lang="EN-US" style="color: #05107d; font-size: 12pt; line-height: 115%;"><br />
</span></b></div><div class="MsoNormal" style="text-align: justify;"><b><span style="color: #0a9703; font-size: 18pt; line-height: 115%;">Introducción</span></b><span lang="EN-US" style="color: #0a9703; font-size: 18pt; line-height: 115%;"><o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">El Cálculo constituye una de las grandes conquistas intelectuales de la humanidad. Una vez construido, la historia de la matemática ya no fue igual: la geometría, el álgebra y la aritmética, la trigonometría, se colocaron en una nueva perspectiva teórica. Detrás de cualquier invento, descubrimiento o nueva teoría, existe, indudablemente, la evolución de ideas que hacen posible su nacimiento. Es muy interesante prestar atención en el bagaje de conocimientos que se acumula, desarrolla y evoluciona a través de los años para dar lugar, en algún momento en particular y a través de alguna persona en especial, al nacimiento de una nueva idea, de una nueva teoría, que seguramente se va a convertir en un descubrimiento importante para el estado actual de la ciencia y, por lo tanto merece el reconocimiento. El Cálculo cristaliza conceptos y métodos que la humanidad estuvo tratando de dominar por más de veinte siglos. Una larga lista de personas trabajaron con los métodos "infinitesimales" pero hubo que esperar hasta el siglo XVII para tener la madurez social, científica y matemática que permitiría construir el Cálculo que utilizamos en nuestros días.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">Sus aplicaciones son difíciles de cuantificar porque toda la matemática moderna, de una u otra forma, ha recibido su influencia; y las diferentes partes del andamiaje matemático interactúan constantemente con las ciencias naturales y la tecnología moderna.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">Newton y Leibniz son considerados los inventores del cálculo pero representan un eslabón en una larga cadena iniciada muchos siglos antes. Fueron ellos quienes dieron a los procedimientos infinitesimales de sus antecesores inmediatos, Barrow y Fermat, la unidad algorítmica y la precisión necesaria como método novedoso y de generalidad suficiente para su desarrollo posterior. Estos desarrollos estuvieron elaborados a partir de visiones de hombres como Torricelli, Cavalieri, y Galileo; o Kepler, Valerio, y Stevin. Los alcances de las operaciones iniciales con infinitesimales que estos hombres lograron, fueron también resultado directo de las contribuciones de Oresme, Arquímedes y Eudoxo. Finalmente el trabajo de estos últimos estuvo inspirado por problemas matemáticos y filosóficos sugeridos por Aristóteles, Platón, Tales de Mileto, Zenón y Pitágoras. Para tener la perspectiva científica e histórica apropiada, debe reconocerse que una de las contribuciones previas decisivas fue la Geometría Analítica desarrollada independientemente por Descartes y Fermat.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">Sin la contribución de éstos y de muchos otros hombres más, el cálculo de Newton y Leibniz seguramente no existiría. Su construcción fue parte importante de la revolución científica que vivió la Europa del siglo XVII. Los nuevos métodos enfatizaron la experiencia empírica y la descripción matemática de nuestra relación con la realidad. La revolución científica supuso una ruptura con las formas de pensar, estudiar y vincularse con la naturaleza que dominaron casi absolutamente en Europa entre los siglos V y XV. Esta ruptura y salto en la historia del conocimiento estuvieron precedidos por las importantes transformaciones que se vivieron durante los siglos XV y XVI con el Renacimiento y la Reforma Protestante. El Cálculo Diferencial e Integral están en el corazón del tipo de conocimiento, cultura y de sociedad de la que, esencialmente, somos parte.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">El extraordinario avance registrado por la matemática, la física y la técnica durante los siglos XVIII, XIX y XX, se lo debemos al Cálculo infinitesimal y por eso se puede considerar como una de las joyas de la creación intelectual de la que el hombre puede sentirse orgulloso.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><br />
</div><div class="MsoNormal" style="text-align: justify;"><b><span style="color: #0a9703; font-size: 18pt; line-height: 115%;">El siglo XVII y la disputa por la creación del cálculo</span></b><span style="color: #0a9703; font-size: 18pt; line-height: 115%;"><o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">En sus comienzos el cálculo fue desarrollado para estudiar cuatro problemas científicos y matemáticos:<o:p></o:p></span></div><ul style="margin-top: 0cm;" type="disc"><li class="MsoNormal" style="mso-list: l0 level1 lfo1; tab-stops: list 36.0pt; text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">Encontrar la tangente a una curva en un punto.<o:p></o:p></span></li>
</ul><ul style="margin-top: 0cm;" type="disc"><li class="MsoNormal" style="mso-list: l3 level1 lfo2; tab-stops: list 36.0pt; text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">Encontrar el valor máximo o mínimo de una cantidad.<o:p></o:p></span></li>
</ul><ul style="margin-top: 0cm;" type="disc"><li class="MsoNormal" style="mso-list: l4 level1 lfo3; tab-stops: list 36.0pt; text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">Encontrar la longitud de una curva, el área de una región y el volumen de un sólido.<o:p></o:p></span></li>
</ul><ul style="margin-top: 0cm;" type="disc"><li class="MsoNormal" style="mso-list: l1 level1 lfo4; tab-stops: list 36.0pt; text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">Dada una fórmula de la distancia recorrida por un cuerpo en cualquier tiempo conocido, encontrar la velocidad y la aceleración del cuerpo en cualquier instante. Recíprocamente, dada una fórmula en la que se especifique la aceleración o la velocidad en cualquier instante, encontrar la distancia recorrida por el cuerpo en un período de tiempo conocido.<o:p></o:p></span></li>
</ul><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">En parte estos problemas fueron analizados por las mentes más brillantes de este siglo, concluyendo en la obra cumbre del filósofo-matemático alemán Gottfried Wilhelm Leibniz y el físico-matemático inglés Issac Newton: la creación del cálculo. Se sabe que los dos trabajaron en forma casi simultánea pero sus enfoques son diferentes. Los trabajos de Newton están motivados por sus propias investigaciones físicas (de allí que tratara a las variables como "cantidades que fluyen") mientras que Leibniz conserva un carácter más geométrico y, diferenciándose de su colega, trata a la derivada como un cociente incremental, y no como una velocidad. Leibniz no habla de derivada sino de incrementos infinitamente pequeños, a los que llama diferenciales. Un incremento de x infinitamente pequeño se llama diferencial de x, y se anota dx. Lo mismo ocurre para y (con notación dy). Lo que Newton llamó fluxión, para Leibniz fue un cociente de diferenciales (dy/dx). No resulta difícil imaginar que, al no poseer en esos tiempos un concepto claro de límite y ni siquiera de función, los fundamentos de su cálculo infinitesimal son poco rigurosos. Se puede decir que el cálculo de fluxiones de Newton se basa en algunas demostraciones algebraicas poco convincentes, y las diferenciales de Leibniz se presentan como entidades extrañas que, aunque se definen, no se comportan como incrementos. Esta falta de rigor, muy alejada del carácter perfeccionista de la época griega, fue muy usual en la época post-renacentista y duramente criticada. Dos siglos pasaron hasta que las desprolijidades en los fundamentos del cálculo infinitesimal se solucionaron, y hoy aquel cálculo, potencialmente enriquecido, se muestra como uno de los más profundos hallazgos del razonamiento humano.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">Resulta muy interesante la larga y lamentable polémica desatada a raíz de la prioridad en el descubrimiento. Al principio la disputa se realizó en el marco de la cortesía pero al cabo de tres décadas comenzó a ser ofensiva hasta que en el siglo XVIII se convirtieron en mutuas acusaciones de plagio. La polémica se tornó cada vez mayor y finalmente se convirtió en una rivalidad entre los matemáticos británicos y los continentales.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">La discusión siguió hasta mucho después de la muerte de los dos grandes protagonistas y, afortunadamente, hoy ha perdido interés y la posteridad ha distribuido equitativamente las glorias. Hoy está claro que ambos descubrieron este cálculo en forma independiente y casi simultánea entre 1670 y 1677, aunque fueron publicados unos cuantos años más tarde.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">La difusión de las nuevas ideas fue muy lenta y al principio sus aplicaciones escasas. Los nuevos métodos tuvieron cada vez más éxito y permitieron resolver con facilidad muchos problemas. Los nuevos logros fueron sometidos a severas críticas, la justificación y las explicaciones lógicas y rigurosas de los procedimientos empleados no se dieron hasta avanzado el siglo XIX, cuando aparecieron otros matemáticos, más preocupados por la presentación final de los métodos que por su utilización en la resolución de problemas concretos.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><br />
</div><div class="MsoNormal" style="text-align: justify;"><b><span style="color: #0a9703; font-size: 18pt; line-height: 115%;">El siglo XVIII</span></b><span style="color: #0a9703; font-size: 18pt; line-height: 115%;"><o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">Durante buena parte del siglo los discípulos de Newton y Leibniz se basaron en sus trabajos para resolver diversos problemas de física, astronomía e ingeniería, lo que les permitió, al mismo tiempo, crear campos nuevos dentro de las matemáticas. Así, los hermanos Bernoulli inventaron el cálculo de variaciones y el matemático francés Monge la geometría descriptiva. Lagrange, también francés, dio un tratamiento completamente analítico de la mecánica, realizó contribuciones al estudio de las ecuaciones diferenciales y la teoría de números, y desarrolló la teoría de grupos. Su contemporáneo Laplace escribió <i>Teoría analítica de las probabilidades</i> (1812) y el clásico<i> Mecánica celeste</i> (1799-1825), que le valió el sobrenombre de "el Newton francés".<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">Sin embargo el gran matemático del siglo fue el suizo Euler, quien aportó ideas fundamentales sobre el cálculo y otras ramas de las matemáticas y sus aplicaciones. Euler escribió textos sobre cálculo, mecánica y álgebra que se convirtieron en modelos a seguir para otros autores interesados en estas disciplinas. El éxito de Euler y de otros matemáticos para resolver problemas tanto matemáticos como físicos utilizando el cálculo sólo sirvió para acentuar la falta de un desarrollo adecuado y justificado de las ideas básicas del cálculo. La teoría de Newton se basó en la cinemática y las velocidades, la de Leibniz en los infinitésimos, y el tratamiento de Lagrange era completamente algebraico y basado en el concepto de las series infinitas. Todos estos sistemas eran inadecuados en comparación con el modelo lógico de la geometría griega, y este problema no fue resuelto hasta el siglo posterior.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">A los matemáticos de fines del siglo el horizonte matemático les parecía obstruido. Se había llegado al estudio de cuestiones muy complicadas a las que nos se les conocía o veía un alcance claro. Los sabios sentían la necesidad de estudiar conceptos nuevos y hallar nuevos procedimientos.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><br />
</div><div class="MsoNormal" style="text-align: justify;"><b><span style="color: #0a9703; font-size: 18pt; line-height: 115%;">El siglo XIX</span></b><span style="color: #0a9703; font-size: 18pt; line-height: 115%;"><o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">Un problema importante fue definir el significado de la palabra función. Euler, Lagrange y el matemático francés Fourier aportaron soluciones, pero fue el matemático alemán Dirichlet quien propuso su definición en los términos actuales. En 1821, un matemático francés, Cauchy, consiguió un enfoque lógico y apropiado del cálculo y se dedicó a dar una definición precisa de "función continua". Basó su visión del cálculo sólo en cantidades finitas y el concepto de límite. Esta solución planteó un nuevo problema, el de la definición lógica de número real. Aunque la definición de cálculo de Cauchy estaba basada en este concepto, no fue él sino el matemático alemán Dedekind quien encontró una definición adecuada para los números reales. Los matemáticos alemanes Cantor y Weierstrass también dieron otras definiciones casi al mismo tiempo.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">Además de fortalecer los fundamentos del análisis, nombre dado a partir de entonces a las técnicas del cálculo, se llevaron a cabo importantes avances en esta materia. Gauss, uno de los más importantes matemáticos de la historia, dio una explicación adecuada del concepto de número complejo; estos números formaron un nuevo y completo campo del análisis, desarrollado en los trabajos de Cauchy, Weierstrass y el matemático alemán Riemann. Otro importante avance fue el estudio de las sumas infinitas de expresiones con funciones trigonométricas, herramientas muy útiles tanto en las matemáticas puras como en las aplicadas, hecho por Fourier. Cantor estudió los conjuntos infinitos y una aritmética de números infinitos. La teoría de Cantor fue considerada demasiado abstracta y criticada. Encontramos aquí un espíritu crítico en la elaboración de estas nociones tan ricas. Esto constituye un punto de vista muy diferente del que animaba a los matemáticos del siglo anterior. Ya no se trata de construir expresiones ni forjar nuevos métodos de cálculo, sino de analizar conceptos considerados hasta entonces intuitivos.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">Gauss desarrolló la geometría no euclidiana pero tuvo miedo de la controversia que pudiera causar su publicación. También en este siglo se pasa del estudio simple de los polinomios al estudio de la estructura de sistemas algebraicos.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">Los fundamentos de la matemática fueron completamente transformados durante el siglo XIX, sobre todo por el matemático inglés Boole en su libro <i>Investigación sobre las leyes del pensamiento</i> (1854).<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><br />
</div><div class="MsoNormal" style="text-align: justify;"><b><span style="color: #0a9703; font-size: 18pt; line-height: 115%;">Siglo XX y nuestros días</span></b><span style="color: #0a9703; font-size: 18pt; line-height: 115%;"><o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">Es importante el aporte realizado por Lebesgue referido a la integración y a la teoría de la medida y las modificaciones y generalizaciones realizadas por matemáticos que lo sucedieron.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">En la Conferencia Internacional de Matemáticos que tuvo lugar en París en 1900, el matemático alemán David Hilbert, quien contribuyó de forma sustancial en casi todas las ramas de la matemática retomó veintitrés problemas matemáticos que él creía podrían ser las metas de la investigación matemática del siglo que recién comenzaba. Estos problemas fueron el estímulo de una gran parte de los trabajos matemáticos del siglo.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">El avance originado por la invención del ordenador o computadora digital programable dio un gran impulso a ciertas ramas de la matemática, como el análisis numérico y las matemáticas finitas, y generó nuevas áreas de investigación matemática como el estudio de los algoritmos. Se convirtió en una poderosa herramienta en campos tan diversos como la teoría de números, las ecuaciones diferenciales y el álgebra abstracta. Además, el ordenador permitió encontrar la solución a varios problemas matemáticos que no se habían podido resolver anteriormente.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">El conocimiento matemático del mundo moderno está avanzando más rápido que nunca. Teorías que eran completamente distintas se han reunido para formar teorías más completas y abstractas. Aunque la mayoría de los problemas más importantes han sido resueltos, otros siguen sin solución. Al mismo tiempo aparecen nuevos y estimulantes problemas y aún la matemática más abstracta encuentra aplicación.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><br />
</div><div class="MsoNormal" style="text-align: justify;"><b><span style="color: #0a9703; font-size: 18pt; line-height: 115%;">Conclusiones</span></b><span style="color: #0a9703; font-size: 18pt; line-height: 115%;"><o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">El progreso de las ideas no se da en el tiempo a través de una trayectoria perfectamente delineada y preconcebida; existen muchos elementos que en la construcción son desechados, reformulados o agregados. Las concepciones filosóficas sobre la realidad, el papel de la ciencia, y en especial las concepciones sobre las características que debe reunir el conocimiento matemático para ser considerado como conocimiento científico, determinaron los enfoques realizados en cada época. El impacto que tuvieron los personajes y las contribuciones consignadas en la historia difícilmente puede ser comprendida cabalmente si estas consideraciones no se toman en cuenta.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><br />
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<b>Este es un breve resumen de algunos de los momentos y logros históricos más importantes y pretende motivar para una indagación e investigación más profunda sobre las ideas y los hechos presentados. </b><o:p></o:p></span></div></td> </tr>
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</div><div class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 115%;">Después de leído este texto responda las siguientes preguntas y deje sus respuestas como comentario con su nombre y curso, para tenerla en cuenta para la valoración.<o:p></o:p></span></div><div class="MsoListParagraphCxSpFirst" style="mso-list: l2 level1 lfo5; text-align: justify; text-indent: -18.0pt;"><span style="font-size: 9pt; line-height: 115%;">1.<span style="font: normal normal normal 7pt/normal 'Times New Roman';"> </span></span><span style="font-size: 12pt; line-height: 115%;">¿Cuáles fueron los problemas matemáticos y científicos que dieron origen al desarrollo del cálculo?<o:p></o:p></span></div><div class="MsoListParagraphCxSpMiddle" style="mso-list: l2 level1 lfo5; text-align: justify; text-indent: -18.0pt;"><span style="font-size: 9pt; line-height: 115%;">2.<span style="font: normal normal normal 7pt/normal 'Times New Roman';"> </span></span><span style="font-size: 12pt; line-height: 115%;">¿A qué se debió la disputa entre Leibniz y Newton sobre el descubrimiento del Cálculo?<o:p></o:p></span></div><div class="MsoListParagraphCxSpMiddle" style="mso-list: l2 level1 lfo5; text-align: justify; text-indent: -18.0pt;"><span style="font-size: 9pt; line-height: 115%;">3.<span style="font: normal normal normal 7pt/normal 'Times New Roman';"> </span></span><span style="font-size: 12pt; line-height: 115%;">¿Cuáles fueron las diferencias y semejanzas entre los trabajos de Newton y Leibniz sobre la creación del cálculo?<o:p></o:p></span></div><div class="MsoListParagraphCxSpMiddle" style="mso-list: l2 level1 lfo5; text-align: justify; text-indent: -18.0pt;"><span style="font-size: 9pt; line-height: 115%;">4.<span style="font: normal normal normal 7pt/normal 'Times New Roman';"> </span></span><span style="font-size: 12pt; line-height: 115%;">Haga una breve descripción de cómo se ha avanzado en los siglos posteriores (XVIII, XIX y XX) hasta nuestros días con la aplicación del Cálculo y los diversos temas abordados con esta poderosa herramienta Matemática.<o:p></o:p></span></div><div class="MsoListParagraphCxSpLast" style="mso-list: l2 level1 lfo5; text-align: justify; text-indent: -18.0pt;"><span style="font-size: 9pt; line-height: 115%;">5.<span style="font: normal normal normal 7pt/normal 'Times New Roman';"> </span></span><span style="font-size: 12pt; line-height: 115%;">En su concepto ¿cree que el Cálculo soluciona todos los problemas matemáticos de nuestro tiempo? ¿Por qué? <o:p></o:p></span></div><a href="https://sites.google.com/site/hrmatematicas">https:/sites.google.com/site/hrmatematicas</a><br />
<div class="separator" style="clear: both; text-align: center;"></div>Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.com0tag:blogger.com,1999:blog-2988273874444708452.post-81853371858287674952011-05-18T16:54:00.002-07:002012-02-18T11:53:31.125-08:00CARTA A UN(A) EXALUMNO(A)<div style="font-family: 'lucida grande', tahoma, verdana, arial, sans-serif; line-height: 1.5em; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; text-align: left;"><div style="text-align: justify;"><span style="font-size: large;">Hace varios años, en que tú y yo compartimos algunos años, no hubiera acertado en comprender que nuestra gran amistad trascendería y que con el tiempo sería algo que, de alguna forma marcaría nuestras vidas.</span></div></div><div style="font-family: 'lucida grande', tahoma, verdana, arial, sans-serif; line-height: 1.5em; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; text-align: left;"><div style="text-align: justify;"><span style="font-size: large;">En aquella época ni tú ni yo logramos descubrir si yo era un instrumento mediante el cual tú encontrarías un sitio en el mundo, o si tú no eras más que una construccion mía. Hoy esa ambigüedad parece no haberse resuelto del todo, pero quizá ya no valga la pena solucionarla, puesto que ninguno de los dos tenía los planos de la obra. Lo que si sabía, era que yo abría puertas y encendía luces, con el fin de ayudarte a escoger tu camino.</span></div></div><div style="font-family: 'lucida grande', tahoma, verdana, arial, sans-serif; line-height: 1.5em; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; text-align: left;"><div style="text-align: justify;"><span style="font-size: large;">En ese tiempo, no entendí lo importante que era para ti cada hora que yo entregaba a mi labor: hacer de ti el tipo de persona que yo esperaba, ni tampoco ese sueño te hacía valer mas que un número en la lista de clase. Solo ahora, me doy cuenta que yo entre números, datos y explicaciones, era algo asi como un artista y tu constituías mi obra de arte.</span></div></div><div style="font-family: 'lucida grande', tahoma, verdana, arial, sans-serif; line-height: 1.5em; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; text-align: left;"><div style="text-align: justify;"><span style="font-size: large;">En ocasiones no aceptaste, mis normas, fórmulas y colores, y quiza eso hacía más perfecto, lo que creábamos entre tu y yo. Pero la mayor de mis enseñanzas era la de hacerte comprender que, llegado el momento, la culminacion de la obra dependía solamente de ti; y se que no me has defraudado, veo que cada dia sigues trabajando con esmero y dedicacion, en la obra que comenzamos tu y yo.</span></div></div><div style="font-family: 'lucida grande', tahoma, verdana, arial, sans-serif; line-height: 1.5em; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; text-align: left;"><div style="text-align: justify;"><span style="font-size: large;">Solo ahora logro descubrir que tu esperabas de mi algo más que memorizar las tablas de multiplicar, fórmulas , ecuaciones, o recordar que la hipotenusa al cuadrado era igual a la suma de los cuadrados de los catetos, entre muchas cosas más, quizá todo eso era solo un pretexto, para hacer de ti una gran persona, si, una gran persona... pero ahi esta el secreto, la trampa, la clave de ser maestro, " que tu jamás olvides que todos esos conocimientos eran solo un pretexto" , para ayudarte a formar en valores, y todas las complejidades del ser humano, que hacen de ti que trasciendas a la eternidad...</span></div></div><div style="font-family: 'lucida grande', tahoma, verdana, arial, sans-serif; line-height: 1.5em; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; text-align: left;"><div style="text-align: justify;"><span style="font-size: large;">Cordialmente,</span></div></div><div style="font-family: 'lucida grande', tahoma, verdana, arial, sans-serif; line-height: 1.5em; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; text-align: left;"><div style="text-align: justify;"><span style="font-size: large;">Tu amigo y maestro...Héctor Rodríguez</span><br />
<a href="https://sites.google.com/site/hrmatematicas"><span style="color: black; font-size: large;">https://sites.google.com/site/hrmatematicas</span></a></div></div>Héctor Rodríguezhttp://www.blogger.com/profile/10002656595260862977noreply@blogger.com5