名校
1 . 已知三棱锥
中,
平面
,
,三棱锥
外接球
的表面积为
,则球
的体积为_______ ,异面直线
,
所成角的余弦值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfb586b257c071c2eecb798c9325b406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08a01aed02ce1eaf1aaefaa0342b7ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6e2867f32d3f1c3cd36cd3a11a8580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
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名校
解题方法
2 . 如图,S为等边三角形ABC所在平面外一点,且SA=SB=SC=AB,E,F分别为SC,AB的中点,则异面直线EF与AC所成的角的正切值为______ .
![](https://img.xkw.com/dksih/QBM/2022/5/30/2990519736745984/2993198993965056/STEM/df76dcf4-f213-4a5c-a7cd-01194802d110.png?resizew=178)
您最近一年使用:0次
2022-06-03更新
|
771次组卷
|
4卷引用:广西南宁市四校联考2021-2022学年高一下学期期末考试数学试题
广西南宁市四校联考2021-2022学年高一下学期期末考试数学试题河北省邢台市卓越联盟2021-2022学年高一下学期第三次月考数学试题河北省张家口市张北县第一中学2021-2022学年高一下学期6月月考数学试题(已下线)第02讲 玩转立体几何中的角度、体积、距离问题-2022年暑假高一升高二数学衔接知识自学讲义(人教A版2019)
3 . 如图所示,已知正四面体
中,
分别为棱
的中点,则异面直线
与
所成角的余弦值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c46c696ff5f123a482bae81cf9a1b570.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
![](https://img.xkw.com/dksih/QBM/2022/5/27/2988485037981696/2990613434040320/STEM/2f92e793-5bc8-4b70-9a12-c40be6cc68b5.png?resizew=162)
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2022-05-30更新
|
1084次组卷
|
2卷引用:广西南宁市第三中学2021-2022学年高一下学期期末考试数学试题
解题方法
4 . 已知直三棱柱
中,
,
,则异面直线
与
所成角的余弦值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd320f2872eea1ac1af12519e1ce02ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
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5 . 已知三棱柱
,
平面
,
,
,求异面直线
与
所成的角的余弦值为______ .
![](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/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/776cef08136bbe98366bb0bd43a03728.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://img.xkw.com/dksih/QBM/2021/1/4/2628958168793088/2632445611130880/STEM/f895170e-a52e-4e69-a226-e9fb79679927.png?resizew=216)
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2021-01-09更新
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225次组卷
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3卷引用:南宁市东盟中学2020-2021学年高二年级期中考试数学(文)试题
6 . 在正方体
中,E为棱
的中点,则异面直线
与
所成角的余弦值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
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2020-11-02更新
|
295次组卷
|
2卷引用:广西南宁市第三中学2020-2021学年高二上学期月考(一)数学(理)试题
名校
解题方法
7 . 如图,正四面体
中,
分别是
及
的中点,则直线
与
所成的角的余弦值为______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/21/a8b5efb9-ae1b-4568-ae0f-1c839f23289e.png?resizew=156)
您最近一年使用:0次
2017-08-18更新
|
259次组卷
|
3卷引用:广西南宁二中2016-2017学年高一下学期期末考试数学(文)试题