题目内容
在△ABC中,AB=
,AC=2,若O为△ABC内部的一点,且满足:
+
+
=
,则
•
( )
| 3 |
| OA |
| OB |
| OC |
| 0 |
| AO |
| BC |
A.
| B.
| C.
| D.
|
∵
+
+
=
,∴点O是三角形ABC的重心
∵
=
(
+
)
=
-
∴
•
=
(
+
)•(
-
)=
(
2-
2)=
(4-3)=
故选C.
| OA |
| OB |
| OC |
| 0 |
∵
| AO |
| 1 |
| 3 |
| AB |
| AC |
| BC |
| AC |
| AB |
∴
| AO |
| BC |
| 1 |
| 3 |
| AB |
| AC |
| AC |
| AB |
| 1 |
| 3 |
| AC |
| AB |
| 1 |
| 3 |
| 1 |
| 3 |
故选C.
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