题目内容
△ABC中,已知点D在边BC上,且BD=2DC,设
=
,
=
,则
等于______.

| AB |
| a |
| AC |
| b |
| AD |
根据平面向量的运算法则及题给图形可知:
=
+
=
+
=
+
(
+
)=
+
=
+
.
故答案为:
+
.
| AD |
| AB |
| BD |
| AB |
| 2 |
| 3 |
| BC |
| AB |
| 2 |
| 3 |
| BA |
| AC |
| 1 |
| 3 |
| AB |
| 2 |
| 3 |
| AC |
| 1 |
| 3 |
| a |
| 2 |
| 3 |
| b |
故答案为:
| 1 |
| 3 |
| a |
| 2 |
| 3 |
| b |
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