21-22高二·湖南·课后作业
1 . 已知平行六面体
,化简下列各式:
(1)
;
(2)
;
(3)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca379d60c10cbcadedf9ee8bfe38d702.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc80822a0d97609eeb1aded41b623ba0.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17808aa4b482099cfa1bfcfb3ed0039.png)
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2 . 在平行六面体
中,点P是AC与BD的交点,若
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a58b0a3c50afe8cfe95e7e64569722.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/991451c5002137302527700e195220e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/485079a40100a88cd5b9bed7f057ba8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a58b0a3c50afe8cfe95e7e64569722.png)
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2021-11-14更新
|
296次组卷
|
8卷引用:湖南省邵阳市新邵县2021-2022学年高二上学期期末质量检测数学试题
3 . 如图,在正方体
中,点E是AB与OD的交点,M是
与CE的交点,试分别用向量
,
,
表示向量
和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3176607b2e55f85e7ede319cbb5d9995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e142e0f0e25dc2ad81ec1a7ec6ed866b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68628a408537b1cf3bf1ca2a69731b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20ec3efaa6b6ff5769e8999df5714a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a0fef5cb67dbb5705104c36cbe510ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6799b234237333b0efa331d98f0374.png)
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21-22高二·湖南·课后作业
4 . 如图,在空间四边形OABC中,
,
,
,点M在棱OA上,且
,N为BC中点.以
,
,
为基,求
在这组基下的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732e8008564ec12576ac60e498b28067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e42eacb57037d08cf18946fe8e33bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ee2e0dc73bc0f68063d55843ee2263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebe72d1b634f1e89d8699e605e7d46af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd4b9ad667f6da79bc3a5737cbc1eee.png)
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