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Punto medio e intersección

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Punto medio e intersección

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Quiz sobre intersección y punto medio

Created by

David Alejandro Bustamante González
David Alejandro Bustamante González
Guatemala

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Punto medio e intersección
 

Punto medio e intersecciónOnline version

Quiz sobre intersección y punto medio

by David Alejandro Bustamante González
1

¿Qué es el punto de intersección de dos rectas?

2

Si dos rectas se cruzan en (2,3), ¿qué significa ese punto?

3

Formula del punto medio entre A(x1,y1) y B(x2,y2)

4

¿Qué información necesitas para hallar la intersección de dos rectas?

5

Si las rectas y=2x+1 y y=−x+4 se cruzan, ¿cuál es la intersección?

6

Punto medio entre A(−2,4) y B(6,−2) es:

7

Si el punto medio de A y B es M(3,‑1) y A(1,4), ¿B es?

8

¿Qué representa el punto medio en geometría?

9

Si dos rectas no son paralelas, ¿ocurre qué?

10

El punto de intersección de Ax+By=C y Dx+Ey=F se obtiene resolviendo:

Explicación

El punto de intersección es el cruce de las rectas, si no se cruzan, no hay intersección.

Ese punto satisface las ecuaciones de ambas rectas y es su cruce.

El punto medio promedia cada coordenada de A y B.

Las ecuaciones permiten resolver el sistema para encontrar el cruce.

Resolviendo 2x+1=−x+4 da x=1, y=3.

Promediamos x: (−2+6)/2=2; y: (4−2)/2=1.

UsaM = ((x1+x2)/2, (y1+y2)/2). Despeja x2=2·3−1=5, y2=2·(−1)−4=−6.

El punto medio está en el centro del segmento AB.

Rectas no paralelas se intersecan en exactamente un punto.

Son dos ecuaciones lineales resueltas como un sistema para hallar el cruce.

 
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