F5 MATH Locus Problem

2012-09-14 7:22 am
Two points:A(4,2),C(-4,3)
1.)Find Locus of point P that AP parallel AC.
2.)Then find the equation of it.

回答 (1)

2012-09-14 7:43 am
✔ 最佳答案
1.)
Slope of AC
= (2 - 3)/(4 + 4)
= -1/8

Locus of point P :
a straight line passing through A(4,2) and withslope -1/8


2.)
Let (x, y) be a point on the locus of point P.

The equation of the locus of point P :
y - 2 = -(1/8)(x - 4)
8y - 16 = -x + 4
x + 8y - 20 = 0
參考: micatkie


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