名校
解题方法
1 . 在三棱锥
中,
,
,
,且
,
,若该三棱锥的体积为
,则三棱锥
外接球的体积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f780afd52b9e0fb11a91933914f952a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c956ac0eb05cf120e14f17413dfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b546d4123d061cd1bcd825455df62dbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8390b8e153b2338b6485552996aea6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c48a649fcc7057f6d7da5eb65e9db83a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f17ef2f38ffd644351cfeaae5ccbfd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f83dbfddc6f98548699ed581e8c8608.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
您最近一年使用:0次
2023-11-16更新
|
857次组卷
|
3卷引用:湖北省武汉部分重点中学5G联盟2023-2024学年高二上学期期中联考数学试题
名校
解题方法
2 . 如图①,在
中,
,
,D,E分别为AC,AB的中点,将
沿DE折起到
的位置,使
,如图②.若F是
的中点,则四面体FCDE外接球的体积是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4b85155ef02a3d4ad84819e14d0c12a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209acf15985d1ea1ad86fc4a37e38c0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa2a83fed9bf4cb09d84a980452e346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fffbf41f3890efb6956907ad3c4062a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/13/12e1ddc8-4203-4fda-959b-6748bf27d1e7.png?resizew=322)
您最近一年使用:0次
2023-09-27更新
|
235次组卷
|
2卷引用:湖北省武汉市江夏实验高级中学2023-2024学年高二上学期9月月考数学试题
3 . 如图,在几何体ABCFED中,
,
,
,侧棱AE,CF,BD均垂直于底面ABC,
,
,
,则该几何体的体积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7788830ed1cb3b9c5988f70f43595f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32f01c4faacedfe56f5127d6c0cc63cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cec73fce3ed065803d763c700124a31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc5df62e8ac9c74a46462519b95479a.png)
您最近一年使用:0次
2023-09-22更新
|
574次组卷
|
6卷引用:湖北省仙桃中学2022-2023学年高一下学期5月月考数学试题
湖北省仙桃中学2022-2023学年高一下学期5月月考数学试题(已下线)第七章 立体几何 专题 2 几何体的体积与 “外接”,“ 内切”球问题江西省上高二中2023-2024学年高二上学期10月期中考试数学试题13.3 空间图形的表面积和体积(1)-【帮课堂】(苏教版2019必修第二册)(已下线)第八章:立体几何初步-同步精品课堂(人教A版2019必修第二册)(已下线)专题突破:空间几何体的体积求法-同步题型分类归纳讲与练(人教A版2019必修第二册)
名校
4 . 如图,在二面角
中,
且
,垂足分别为A,B,已知
,
,则二面角
所成平面角为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754bbd99327195520a4ca3ce3b9a0577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ca6f1a7524fab6c2b4f43dd13bf2675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ffeae7c3013de0df85a61bc609bd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36325a3eb64a9bdbb7a50852b3a71ac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1771d2242c027bfcc882fcda8f49442f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754bbd99327195520a4ca3ce3b9a0577.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/19/b27bd456-3986-478d-b940-95061503e532.png?resizew=174)
您最近一年使用:0次
2023-09-16更新
|
659次组卷
|
4卷引用:湖北省荆州市沙市中学2023-2024学年高二上学期9月月考数学试题
名校
解题方法
5 . 在四面体ABCD中,
,AB与CD所在的直线间的距离为3,且AB与CD所成的角为
,则四面体ABCD的体积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/292d0b9ce587bd5df884a988c22ccba2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ad1b0a76a887783392268ae203ad22.png)
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名校
6 . 在直角
中,
,
上有一动点
(异于
,
),将
沿
折起,使得三棱锥
的顶点
在底面
上的投影
恰好落在线段
上,则
长度的范围______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3e9ef3e849788645552cfb0735d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf9718967af7a01c5b4866ea6f73bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
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名校
7 . 在三棱锥
中,
,
,
两两垂直,
,
,
为棱
上一点,
于点
,则当
的面积取最大值时,三棱锥
的外接球表面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a94d59dee2d5a8f0425b64b2083825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c14427faad52b64c142facdaccb3b7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e02fe83ec7038d9729ca0b9df5493e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e19dd332eccf6ca418898e64b3a1f583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0756277c18bea4e9c3b74fb28fd58c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b2e3cac5106bc8a7ad98618c251cb5d.png)
您最近一年使用:0次
2023-06-30更新
|
535次组卷
|
2卷引用:湖北省武汉市华中师范大学第一附属中学2022-2023学年高一下学期6月期末数学试题
名校
8 . 过正方体
顶点A作平面
,使
//平面
,
和
的中点分别为E和F,则直线EF与平面
所成角为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb04914c4e8fb3483da44c67fe1809f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbafedc202bd0d86c4dfdece9f8f4fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
解题方法
9 . 已知正方体
的棱长为
,点
为
的中点,
平面
,平面
过点
,则平面
截正方体所得截面图形的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0edb1508fc95765f3bb316bcb5252d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
名校
10 . 已知三棱锥
的四个顶点都在球
的球面上,
,
,
是边长为
的等边三角形,
的面积为
,则球
的体积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c383691e8d740830a865b12d66f7633.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860c4c9419ebfa927b3f3ea14e4f4784.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa37aefb6d45efe4e20ba48c2e7dfa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
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2023-01-19更新
|
1107次组卷
|
6卷引用:湖北省恩施州高中教育联盟2023-2024学年高二下学期4月期中考试数学试题