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Prueba: Parabola Unidad 3

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Prueba: Parabola Unidad 3

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Parábolas: locus y aplicaciones

Created by

Ana Judith Renderos de Amaya
Ana Judith Renderos de Amaya
El Salvador

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Prueba: Parabola Unidad 3
 

Prueba: Parabola Unidad 3Online version

Parábolas: locus y aplicaciones

by Ana Judith Renderos de Amaya
1

¿Qué representa el lugar geométrico de puntos equidistantes del foco y de laDirectriz en una parábola?

2

¿Cuál es la ecuación típica de una parábola que abre hacia la derecha?

3

En y^2 = 4ax, ¿cuál es la coordenada del foco?

4

¿Qué es la directriz de la parábola y^2 = 4ax?

5

¿Qué propiedad de reflexión tiene una parábola respecto a su eje?

6

¿Qué indica la ecuación x^2 = 4py?

7

¿Qué punto es el foco de la parábola x^2 = 4py?

8

¿Qué describe una parábola orientada a la derecha?

9

Aplicación importante de las parábolas en ingeniería:

10

¿Qué describe la lección 1.11 sobre parabola?

Explicación

La definición clásica de una parábola es el conjunto de puntos equidistantes del foco y la directriz.

y^2=4ax describe una parábola horizontal que abre hacia la derecha para a>0.

Para y^2=4ax, el foco está en (a, 0) y la directriz es x = -a.

La directriz de y^2=4ax es x = -a.

Las rectas paralelas al eje reflejan hacia el foco en una parábola.

x^2=4py es una parábola vertical con foco (0,p) y directriz y=-p.

Para x^2=4py, foco es (0,p) y la directriz es y = -p.

Una parábola que abre hacia la derecha tiene eje horizontal; por ejemplo y^2=4ax.

Los reflectores parabólicos enfocan señal o energía en el foco.

La unidad cubre aplicaciones de la parabola y ejemplos prácticos.

 
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