题目内容
已知A(2,3),B(4,-3),点P在线段AB的延长线上,且|
|=
|
|,则点P的坐标为______.
| AP |
| 3 |
| 2 |
| PB |
设点P(x,y),
∵点P在线段AB的延长线上,且|
|=
|
|
∴
=-
即(x-2,y-3)=-
(4-x,-3-y)
解得点P的坐标(8,-15)
故答案为(8,-15)
∵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 |
解得点P的坐标(8,-15)
故答案为(8,-15)
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