已知M(3,-2),N(-5,-1),且MP=1/2MN,则P点的坐标为_.
问题描述:
已知M(3,-2),N(-5,-1),且
=MP
1 2
,则P点的坐标为______. MN
答
设点P(x,y),则
=(x-3,y+2),MP
=(-8,1);MN
又
=MP
1 2
,MN
∴
,
x-3=-4 y+2=
1 2
∴x=-1,y=-
;3 2
∴P(-1,-
).3 2
故答案为:P(-1,-
).3 2