题目内容
△ABC中,∠C=60°,且CA=2,CB=1,点M满足
=2
,则
•
=( )
| BM |
| AM |
| CM |
| CA |
A.4+
| B.2
| C.7 | D.9 |
由题意可得
•
=1×2×cos60°=1,
∴
•
=(
+
)•
=
•
+
•
=1+2
•
=1+2(
-
)•
=1+2
2-2
•
=1+8-2=7,
故选C.
| CB |
| CA |
∴
| CM |
| CA |
| CB |
| BM |
| CA |
| CB |
| CA |
| BM |
| CA |
| BA |
| CA |
=1+2(
| CA |
| CB |
| CA |
| CA |
| CB |
| CA |
故选C.
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