问题 选择题
已知等边△ABC的边长为2
3
,平面内一点M满足
CM
=
1
6
CB
+
2
3
CA
,则
MA
MB
=(  )
A.-2B.
11
3
C.
7
3
D.
3
答案

CM
=
1
6
CB
+
2
3
CA

MA
=
CA
-
CM
1
3
CA
-
1
CB

MB
=
CB
-
CM
=
5
6
CB
-
2
3
CA

MA
MB
=(
1
3
CA
-
1
6
CB
)•
(
5
6
CB
-
2
3
CA
)

7
18
CA
CB
-
2
9
CA
2
-
5
36
CB
2

=-2

故选A

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