问题 填空题
已知O为坐标原点,
OA
=(-3,1)
OB
=(0,5),且
AC
OA
BC
AB
,则点C的坐标为______.
答案

设C点坐标为(x,y)

则∵

OA
=(-3,1),
OB
=(0,5),

AC
=(x+3,y-1)

BC
=(x,y-5)

AB
=(3,4)

又∵

AC
OA
BC
AB

x+3+3(y-1)=0
3x+4(y-5)=0

解得:

x=12
y=-4

即C点坐标为(12,-4)

故答案为:(12,-4)

解答题
单项选择题