如图,在体积为
三棱锥
中,
⊥平面
,
且
,求异面直线
与
所成角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb370f79414cec31a7716b1b0fa8277c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571ef38fc225d102bcd4f35bab70078c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc130e4f2499cc620a0df6542d8127b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/2015/4/13/1572069641363456/1572069744549888/STEM/739ca63858454220a52d3bdc8aaa3365.png?resizew=174)
更新时间:2016-12-03 12:06:59
|
【知识点】 求异面直线所成的角
相似题推荐
解答题-问答题
|
较易
(0.85)
解题方法
【推荐1】如图,在棱长为1的正方体
中,点E、F、G分别是
、BD、
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/5/b77ebc41-a7e7-4908-a4e4-c92ad3599a1c.png?resizew=169)
(1)求CE的长;
(2)求EF与CG所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/5/b77ebc41-a7e7-4908-a4e4-c92ad3599a1c.png?resizew=169)
(1)求CE的长;
(2)求EF与CG所成角的余弦值.
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解答题-问答题
|
较易
(0.85)
名校
解题方法
【推荐2】已知三棱柱
中,
平面
,
,
,
为
中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/16/319e0656-3c3b-4028-a144-22dabe13ee9d.png?resizew=162)
(1)证明:直线
平面
;
(2)求异面直线
与
所成角的余弦值.
![](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/3d11a5a756d8fdd7b294c4f5fd63467b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d3d5c6d668afddb0603556c9133996.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/16/319e0656-3c3b-4028-a144-22dabe13ee9d.png?resizew=162)
(1)证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/504a36c231b8e80724d01649e7c0944f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de9078475c350c04bd97666d808dd55a.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
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