解题方法
1 . 在菱形
中,
,将
折起到
的位置,若三棱锥
的外接球的体积为
,则二面角
的正弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53725bff9ac59a3e5082e395a47a5322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acee03d4bb4667b6c345221b6c9b0fa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08a9ec3b527947cad9caa4537e0cb7e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b66567c2663971b54f67ee3d021e39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02a7ba7cd0c654714c967a900513ba16.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-02-09更新
|
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3卷引用:2016届湖南省长沙市长郡中学高考模拟一理科数学试卷
2016届湖南省长沙市长郡中学高考模拟一理科数学试卷福建省闽侯第六中学2018届高三上学期期末考试数学(理)试题(已下线)第二章 立体几何中的计算 专题五 几何体的外接球、棱切球、内切球 微点2 含二面角的外接球终极公式综合训练【培优版】
名校
解题方法
2 . 已知边长为
的菱形
中,
,沿对角线
折成二面角
为
的四面体
,则四面体
的外接球的表面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f1854ba6cc92481d7a616bd2788a47e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2016-12-04更新
|
526次组卷
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6卷引用:2017届湖南长沙长郡中学高三摸底考试数学(理)试卷
2017届湖南长沙长郡中学高三摸底考试数学(理)试卷2017届湖南长沙长郡中学高三摸底测试数学(理)试卷安徽省六安市舒城中学2017-2018学年高二下学期第一次统考(开学考试)数学(理)试题【校级联考】江西省南康中学、于都中学2018-2019学年高二上学期第三次月考数学(理)试题(已下线)模块六 立体几何 大招13 外接球之折叠模型(已下线)第三章 折叠、旋转与展开 专题三 球与翻折 微点3 球与翻折综合训练
3 . 如图,在四棱锥
中,底面
是正方形,
底面
,
, 点
是
的中点,
,且交
于点
.
(Ⅰ)求证:
平面
;
(Ⅱ)求证:平面
⊥平面
;
(Ⅲ)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a93767331e9bac06a564973a9f4fc663.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defa5b53043ae802bb1af7d14374406d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f04e6ed01c8f3778a64f055d33ee70c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/28/d42cc5d6-f31f-49ae-a78c-72125039babb.png?resizew=154)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b30e2f7b22d83bef3421a4ecc7ed4a44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68a7bf0da4f7c6f739d2e2461ad9b7.png)
(Ⅱ)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc6f6dfdbe7d39891c35f67e1a95c7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1885efcff0b903e314057dd153578600.png)
(Ⅲ)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6772edef04d878a91bf4d7e8419a4628.png)
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3卷引用:2015届湖南省长沙市高考模拟理科数学试卷