当两个定点A (-2,-1)和B (2,1)在抛物线Y = X ^ 2上运动时,△PAB的竖心G的轨迹方程为

G(x,y)

k(AB)=0.5

k(AB)*k(PG)=-1

0.5*(y-yP)/(x-xP)=-1

xP=x+0.5y-0.5yP

k(PB)*k(AG)=-1

[(yP-1)/(xP-2)]*[(y+1)/(x+2)=-1

(1+y)yP = 2x+y+5-(2+x)xP = 2x+y+5-(2+x)*(x+0.5y-0.5 yP)

yP=

xP=

yP=(xP)^2