题目内容
设D为△ABC的边AB上一点，P为△ABC内一点，且满足
=
，
=
+
，则
=（ ）
| AD |
| 2 |
| 3 |
| AB |
| AP |
| AD |
| 1 |
| 4 |
| BC |
| S△APD |
| S△ABC |
A．
| B．
| C．
| D．
|
由题意，
=
+
，
=
+
∴
=
∴
=
=
∴
=
×
=
故选B．
| AP |
| AD |
| DP |
| AP |
| AD |
| 1 |
| 4 |
| BC |
∴
| DP |
| 1 |
| 4 |
| BC |
∴
| 三角形ADP的高 |
| 三角形ABC |
| AD |
| AB |
| 2 |
| 3 |
∴
| S△APD |
| S△ABC |
| 2 |
| 3 |
| 1 |
| 4 |
| 1 |
| 6 |
故选B．
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相关题目
设D为△ABC的边AB的中点，P为△ABC内一点，且满足，
，则
=（ ）
