题目内容
设点P为△ABC的外心(三条边垂直平分线的交点),若AB=2,AC=4,则
•
=( )
| AP |
| BC |
| A.8 | B.6 | C.4 | D.2 |
设BC的中点为D,则DP⊥BC,
所以
•
=(
+
)•
=
•
=
(
+
)•(
-
)=
(
2-
2)=
(16-4)=6,
故选B.
所以
| AP |
| BC |
| AD |
| DP |
| BC |
| AD |
| BC |
| 1 |
| 2 |
| AB |
| AC |
| AC |
| AB |
| 1 |
| 2 |
| AC |
| AB |
| 1 |
| 2 |
故选B.
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