已知三棱柱
中,侧棱
底面
,记
,
,
.
![](https://img.xkw.com/dksih/QBM/2020/3/16/2420882788179968/2421575777787904/STEM/71f6e4ed48da42fe94d1d230e46472fb.png?resizew=172)
(1)用
表示
;
(2)若
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845ccc0d735dc14c92a8926d9b1def6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4827791eee92794c5324b24b86c83152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febcf1295fc9f93c64876b128b1d3ddb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e46f9d7ad03ddb15f34255ca71a5445f.png)
![](https://img.xkw.com/dksih/QBM/2020/3/16/2420882788179968/2421575777787904/STEM/71f6e4ed48da42fe94d1d230e46472fb.png?resizew=172)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96022a881e03e32d3483d997c3f170c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e610509e3f4fce4ca2e5ecefbe594bd8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa8345302e8036af33d4598282144d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e862713d078c4f06ec1f15ccd6f5a1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09ba8eb4ac84cf535f80bd05b56f90fb.png)
更新时间:2020-03-17 17:31:26
|
【知识点】 空间向量加减运算的几何表示
相似题推荐
解答题-问答题
|
较易
(0.85)
【推荐1】如图所示,已知斜三棱柱
,点
、
分别在
和
上,且满足
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/872b7f0a-7f8e-4328-afaf-142a017517ff.png?resizew=152)
(1)用向量
和
表示向量
;
(2)向量
是否与向量
,
共面?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/804654678ee0e161332e7342160e7a14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700a483512bf6c86140285be6fa74474.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/872b7f0a-7f8e-4328-afaf-142a017517ff.png?resizew=152)
(1)用向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59719064db2579c7479960ff3c1051cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ed7b341c6ad150e5926aad7b6708d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc77f6f4e0bf9f7cf90b84d071210bd6.png)
(2)向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc77f6f4e0bf9f7cf90b84d071210bd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59719064db2579c7479960ff3c1051cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ed7b341c6ad150e5926aad7b6708d1.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
【推荐2】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)
您最近一年使用:0次