P1(2,-1),P2(0,5),且P在P1P2的延长线上,使|p1p|=2|p p2|,则点P为(  ) A.(2,11) B.(34,3) C.(23,3) D.(2,-7)

问题描述:

P1(2,-1),P2(0,5),且P在P1P2的延长线上,使|

p1p
|=2|
p p2
|,则点P为(  )
A. (2,11)
B. (
3
4
,3)
C. (
2
3
,3)
D. (2,-7)

由题意知P1P2=P2P,
设P(x,y),则(-2,6)=(x,y-5),

x=-2
y-5=6
,∴
x=-2
y=11

∴点P的坐标为(-2,11).
故选A.