试题:
已知A(2,3),B(3,0),且
AC
=-2
CB
,则点C的坐标为(  )
A.(-3,4)B.(4,-3)C.(
8
3
,1)
D.(1,-
8
3
)

答案:

我来补答
设点C(x,y),由于A(2,3),B(3,0),得
AC
=(x-2,y-3),2
CB
=(3-x,-y)

AC
=-2
CB

∴-(6-2x,-2y)=(x-2,y-3)
2x-6=x-2
2y=y-3
解得
x=4
y=-3
,即C(4,-3)
故选B
 
 
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