Ecuaciones De La Recta Flashcards

1
Q

Def vector y partes

A

Es un segmento orientado.
Módulo: longitud del segmento
Dirección: recta sobre la que se encuentra
Sentido: el que indica la flecha

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2
Q

Ec. Vectorial

A

(x,y)=(a,b)+t(u1, u2)

t e R

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3
Q

Ec. Parametricas

A

A partir de la vectorial depejando x e y.
x=a+t u1
y= b+t u2
t e R

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4
Q

Ec. Continúa

A

Desde las parametricas despejando t e igualando.
(x-a)/u1= (y-b)/u2
No vale si u1 o u2 son 0

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5
Q

Ec. Punto-pendiente

A

Desde la continúa pasando u2 multiplicando.

y-b=m(x-a)

No vale si u1=0

m= u2/u1

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6
Q

Ec. Explícita

A

Desde la punto-pendiente despejando y

y=mx +n

n=b-ma

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7
Q

Ec. Implícita

A

u2x -u1y -au2 -bu1=0

Desde la continúa quitando denominadores.

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