Question

p是圆x2+y2=16上一动点,q(-4,0)为定点,若点m为qp延长线上一点,且|pq|=|pm|,求点m轨迹方程

Answer 1

M(x,y)

x-4=2xP,xP=0.5x-2

yP=0.5y

(xP)^2+(yP)^2=16

(0.5x-2)^2+(0.5y)^2=16

(x-4)^2+y^2=64