Elipse
Secciones Cónicas
Las secciones cónicas son los lugares geométricos que se forman al intersectar un cono con un plano. [br]Las secciones cónicas son: Circunferencia, Elipse, Parábola e Hipérbola.[img]https://i.pinimg.com/originals/5d/54/57/5d54574766affd7fe76312b4cec9a0bd.gif[/img]
La Elipse
La elipse es el lugar geométrico de todos los puntos cuya suma de las distancias a dos puntos fijos llamados focos equivalen al doble de una constante (2a), la cual representa la distancia entre sus vértices.[br][br]Elementos de la Elipse.[br][br]Su ecuación,[br]V y V[sub]1[/sub] son los vértices, son los puntos extremos de la elipse.[br]F y F[sub]1 son los focos, son los puntos que equidistan del centro, se encuentran en el eje mayor y cuya suma de sus distancias hacia cualquier punto de la elipse es constante.[br]C es el centro, es el punto central de la elipse[br]La longitud del lado recto, LLR es el segmento perpendicular al eje mayor, pasa por el foco y sus extremos están definidos por la elipse.[br]El triángulo abc, es un triángulo rectángulo en el que se aplica el Teorema de Pitágoras.[/sub]
Excentricidad de la Elipse
La excentricidad [i][b]e[/b][/i], nos indica que tan alargada es la elipse.[br][size=150] Se calcula mediante el cociente: [size=200][math]e=\frac{c}{a}[/math][/size][/size][br]Como el valor de[i] [b]a[/b][/i] siempre es mayor que el valor de [i][b]c[/b][/i], la excentricidad tendrá valores desde [b]0[/b] hasta [b]1[/b].[br]Cuando el valor de [b][i]e[/i][/b] es[b] 0[/b], la elipse se convierte en una circunferencia.[br]Entre más se acerca el valor de [b][i]e[/i][/b] a [b]1[/b], la elipse se alarga de tal forma que si llega a 1, será una línea recta.[br][br]Al mover el punto en el deslizador, observa cómo se mueven los focos de tal forma que coinciden con el centro cuando el valor de [b][i]e[/i][/b] es 0 y la elipse se convierte en circunferencia.[br]También puedes observar que entre más se alejan los focos del centro, la elipse se alarga y la excentricidad se acerca al valor de 1.[br]
Mueve el punto que está en el deslizador d, y observa como cambia la excentricidad (e) de la Elipse.
Ecuación y elementos de la Elipse vertical con centro en el origen
Creando la Elipse vertical con centro en el origen y sus elementos
[br]Instrucciones:[br][br]Vamos a crear la elipse vertical de forma semejante a como se vio la elipse horizontal en el capítulo anterior. Para ello deberás realizar los siguientes pasos en la Hoja de Geogebra.[br][br]1. Da click sobre la herramienta [b][i]Elipse[/i][/b], [icon]/images/ggb/toolbar/mode_ellipse3.png[/icon][br][br]2. Ahora tendrás que dar click sobre tres puntos en el plano: dos de ellos sobre el eje “y” (serán los focos) y otro sobre el eje “x” (será b). Pueden ser (0,3), (0,-3) y (2,0). Se visualizará la elipse.[br][br]3. Activa la herramienta [b][i]Mueve [/i][/b] [icon]/images/ggb/toolbar/mode_move.png[/icon], da click derecho sobre el punto A, se visualizará el submenú; elige la opción [b][i]Renombrar [/i][/b]y escribe F. [br][br]4. Realiza lo mismo con el punto B y renombrarlo F[sub]1, [/sub]para ello deberás escribir F_1.[br][br]5. En la barra de entrada escribe Centro(c) y presiona Enter. Se visualizará el punto A.[br][br]6. Repite el paso 3 para renombrar el punto A como C.[br][br]7. En la barra de entrada escribe Vértices(c) y presiona Enter. Se crearan dos puntos A y B.[br][br]8. Deberás renombrar los puntos A y B como V y V[sub]1[/sub]; para ello repite los pasos 3 y 4.[br][br]9. Activa la herramienta [i][b]Polígono[/b][/i] [icon]/images/ggb/toolbar/mode_polygon.png[/icon] y da click en los puntos C[sub]1, [/sub]C, F, C[sub]1[/sub]. Se formará un triángulo rectángulo.[br][br]10. Renombra los tres lados del triángulo, repitiendo el paso 3:[br][br]La hipotenusa se deberá nombrar como a; [br]El cateto del eje “x”, será b; [br]El cateto del eje “y”, será c.[br][br]11. Elige el punto C[sub]1[/sub] con la herramienta [b][i]Mueve[/i][/b] [icon]/images/ggb/toolbar/mode_move.png[/icon] y click derecho para activar el submenú, deberás elegir la opción [b][i]Objeto Visible[/i][/b] [icon]/images/ggb/toolbar/mode_showhideobject.png[/icon] para desactivarla. Ya no se visualizará el punto.[br][br]12. Activa la opción [i][b]Deslizador [icon]/images/ggb/toolbar/mode_slider.png[/icon][/b][/i] y da click sobre cualquier parte del plano cartesiano fuera de la elipse. Se visualizará una ventana en la que deberás ingresar lo siguiente: [br][br]Nombre, d; [br]Intervalo mínimo, 0 [br]Intervalo máximo, 10;[br]Incremento, 1. [br][br]Da click en ok. Se visualizará una recta a la que llamaremos deslizador d.[br][br]13. Desliza el punto del deslizador y observa que se mueve desde 0 hasta 10. Déjalo en la posición de 1.[br][br]14. En la barra de entrada que se encuentra en la parte inferior de la hoja, escribe:[br][br]F=(0,d) y presiona Enter[br][br]El punto F se moverá a la posición (0,1)[br][br]15. En la barra de entrada escribe:[br][br]F_1=(0,-d) y presiona Enter[br][br]El punto F[sub]1[/sub] se moverá a la posición (0,-1)[br][br]16. Mueve el punto del deslizador y observa como cambian las posiciones de los focos y de los vértices de la elipse.[br][br]17. En la barra de entrada escribe:[br][br]e=c/a[br][br]18. Activa la herramienta [i][b]Texto [icon]/images/ggb/toolbar/mode_text.png[/icon][/b][/i], da click sobre cualquier parte del plano fuera de la elipse; se visualizará una ventana en la que deberás escribir lo siguiente:[br][br]e=[br][br]en la sección de Objetos, elige “e” y da click en ok.[br]Deberá visualizarse el valor de la excentricidad, “e”.[br][br]19. Activa la herramienta [i][b]Mueve [icon]/images/ggb/toolbar/mode_move.png[/icon][/b][/i], arrastra el texto "e" hasta una posición adecuada.[br][br]20. Activa la herramienta[i][b] Texto [icon]/images/ggb/toolbar/mode_text.png[/icon][/b][/i], da click sobre el plano; se visualizará una ventana en la que deberás escribir lo siguiente (ten cuidado pues cualquier falla en la escritura no dará el resultado esperado):[br][br]\frac{x^2}{( )^2}+\frac{y^2}{( )^2}=1[br][br]Coloca el cursor dentro del primer paréntesis, deberás elegir de la sección de objetos “b”.[br]Coloca el cursor dentro del segundo paréntesis, deberás elegir de la sección de objetos “a”. [br][br]Da click en ok. Deberá visualizarse la ecuación de la elipse. Repite el paso 19.[br][br][br]21. Activa la herramienta [i][b]Texto [icon]/images/ggb/toolbar/mode_text.png[/icon][/b][/i], da click sobre el plano; se visualizará una ventana en la que deberás escribir lo siguiente (no olvides escribir el signo menos):[br][br]F(0, ) y F_1(0,- )[br][br]Coloca el cursor dentro del primer paréntesis después de la coma, deberás elegir de la sección de objetos “c”.[br]Coloca el cursor dentro del segundo paréntesis después de la coma, deberás elegir de la sección de objetos “c”. [br][br]Da click en ok. Deberán visualizarse las coordenadas de los focos. Repite el paso 19.[br][br]22. Activa la herramienta [i][b]Texto [icon]/images/ggb/toolbar/mode_text.png[/icon][/b][/i], da click sobre el plano; se visualizará una ventana en la que deberás escribir lo siguiente:[br][br]V(0, ) y V_1(0,- )[br][br]Coloca el cursor dentro del primer paréntesis después de la coma, deberás elegir de la sección de objetos “a”.[br]Coloca el cursor dentro del segundo paréntesis después de la coma, deberás elegir de la sección de objetos “a”. [br][br]Da click en ok. Deberán visualizarse las coordenadas de los vértices. Repite el paso 19.[br][br]23. Mueve el deslizador y observa cómo cambian los elementos de la elipse y su ecuación.[br][br]24. Para dar color a los objetos, deberás realizar lo siguiente en cada objeto:[br][br]Activa la herramienta [i][b]Mueve [icon]/images/ggb/toolbar/mode_move.png[/icon][/b][/i][br]Da click derecho sobre algún objeto[br]Elige la opción Propiedades del objeto[br]Se abrirá una ventana en donde podrás elegir el color.[br][br][br]
Tu creación deberá quedar así.
Elementos y ecuación de la Elipse horizontal con centro fuera del origen
Mueve el punto que está en el deslizadores h; observa como cambian los elementos y la ecuación de la elipse
Ejercicios:
[size=200]En tu cuaderno:[br][br]1. Encuentra los elementos de la elipse con:[br] C(5,3), b=3 y c=3 y realiza la gráfica.[br][br]Verifica deslizando el centro hasta las coordenadas dadas.[br][br]2. Repite la actividad para la elipse con C(-1,3), b=3 y c=9[/size]
Cuestionario
Instrucciones
Elige la respuesta correcta
1.
Si la excentricidad de una elipse es muy cercana a 0, ¿a qué figura se acerca más?
2
Una elipse con centro en el origen, tiene uno de sus focos en (-1,3) y uno de sus vértices en (2,3). ¿Cuál es su excentricidad?
3
¿Cuál de las ecuaciones representa la elipse?[br][img]data:image/png;base64,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[/img]
4
Cuál de las gráficas representa la elipse con ecuación [math]\frac{x^2}{9}+\frac{y^2}{4}=1[/math]?
5
¿Cuál es la ecuación de la elipse con centro en el origen si su eje focal está sobre el eje Y, sus semiejes mayor y menor miden 6 y 5 unidades respectivamente?
6
La órbita que describe la tierra alrededor del sol es una elipse, donde el centro del sol coincide con uno de los focos. El semieje mayor de la elipse es de aproximadamente 150 millones de kilómetros, y su excentricidad 1/60.[br]¿Cuáles serán las distancias mínima y máxima entre el Sol y la Tierra?