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
MN
,则P点的坐标为______.

设点P(x,y),则

MP
=(x-3,y+2),
MN
=(-8,1);
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
).