问题 填空题
已知A(2,3),B(4,-3),点P在线段AB的延长线上,且|
AP
|=
3
2
|
PB
|,则点P的坐标为______.
答案

设点P(x,y),

∵点P在线段AB的延长线上,且|

AP
|=
3
2
|
PB
|

AP 
=-
3
2
PB

即(x-2,y-3)=-

3
2
(4-x,-3-y)

解得点P的坐标(8,-15)

故答案为(8,-15)

解答题
填空题