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