问题 填空题
点A(-2,0),B(3,0),动点P(x,y)满足
PA
PB
=x2
,则点P的轨迹方程为 ______.
答案

由题意得

PA
=(-2-x,-y),
PB
=(3-x,-y),

PA
PB
=x2

所以(-2-x,-y)•(3-x,-y)=x2,即y2=x+6.

故点P的轨迹方程为y2=x+6.

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