名校
解题方法
1 . 如图,在四棱锥
中,平面
平面
,
为等边三角形,四边形
为矩形,
,则四棱锥
的外接球的表面积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abc28e69c1ba0aac981256887f7dfa94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://img.xkw.com/dksih/QBM/2021/2/5/2651506292899840/2652431910559744/STEM/85b3ee82ab8648fe90383ead074f1000.png?resizew=184)
您最近一年使用:0次
2021-02-06更新
|
919次组卷
|
7卷引用:广西来宾市2020-2021学年高一上学期期末数学试题
解题方法
2 . 已知圆柱的底面半径为1,若圆柱的侧面展开图的面积为
,则圆柱的高为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4986217611fc5eefe70fd217a9d5726a.png)
您最近一年使用:0次
2021-02-06更新
|
1193次组卷
|
6卷引用:广西来宾市2020-2021学年高一上学期期末数学试题
广西来宾市2020-2021学年高一上学期期末数学试题广西河池市2020-2021学年高一上学期期末数学试题沪教版(2020) 必修第三册 新课改一课一练 期末测试B(已下线)8.3 简单几何体的表面积与体积(精练)-2020-2021学年高一数学一隅三反系列(人教A版2019必修第二册)(已下线)专题8.2 简单几何体的表面积与体积(A卷基础篇)-2020-2021学年高一数学必修第二册同步单元AB卷(新教材人教A版,浙江专用)甘肃省金昌市2021届高三第二次联考文科数学试题
解题方法
3 . 如图,在三棱柱
中,
,
.
![](https://img.xkw.com/dksih/QBM/2021/2/5/2651506292899840/2652431910764544/STEM/25409eba9f6a4170a928d61d110499dc.png?resizew=131)
(1)若三棱柱
的体积为1,求三棱锥
的体积;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4422feb1d327f5d658b69c2a6329361b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://img.xkw.com/dksih/QBM/2021/2/5/2651506292899840/2652431910764544/STEM/25409eba9f6a4170a928d61d110499dc.png?resizew=131)
(1)若三棱柱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/861d61d2b7b16e12fd97f870fb3fa522.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffeea0a84cdd67bd8bed95bc0f8ae364.png)
您最近一年使用:0次
2021-02-06更新
|
491次组卷
|
3卷引用:广西来宾市2020-2021学年高一上学期期末数学试题
广西来宾市2020-2021学年高一上学期期末数学试题广西河池市2020-2021学年高一上学期期末数学试题(已下线)8.6空间直线、平面的垂直(1)(精讲)-2020-2021学年高一数学一隅三反系列(人教A版2019必修第二册)
名校
4 . 一正方体的六个面上用记号笔分别标记了一个字,已知其表面展开图如图所示,则在原正方体中,互为对面的是( )
![](https://img.xkw.com/dksih/QBM/2020/3/11/2417255254097920/2417443069091840/STEM/2e547464-1b52-402d-b4c8-8e2a91f69a66.png?resizew=150)
![](https://img.xkw.com/dksih/QBM/2020/3/11/2417255254097920/2417443069091840/STEM/2e547464-1b52-402d-b4c8-8e2a91f69a66.png?resizew=150)
A.西与楼,梦与游,红与记 |
B.西与红,楼与游,梦与记 |
C.西与楼,梦与记,红与游 |
D.西与红,楼与记,梦与游 |
您最近一年使用:0次
2020-03-11更新
|
520次组卷
|
2卷引用:广西来宾市2019-2020学年高一上学期期末数学试题
5 . 如图,在四棱锥
中,
,
,
,
分别为棱
,
的中点,
,
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/7fbb3f05-f304-4937-8db9-c83ec288d998.png?resizew=162)
(1)证明:平面
平面
.
(2)若四棱锥
的高为3,求该四棱锥的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb2dd10731b99c0f4f89ee957f8a239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca7e1a727ba332984ad857b3d25344d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/519d3cbe962154438e43a23b0d9eda2f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/7fbb3f05-f304-4937-8db9-c83ec288d998.png?resizew=162)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b711c453131b5420cbade7e0e451b908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c0bfeadcf17b2a45896071f07a4a5a.png)
(2)若四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
您最近一年使用:0次
6 . 如图,在四棱锥
中,
,
是以
为斜边的等腰直角三角形,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/da872b18-08b8-4e66-80ca-b57cc45eca64.png?resizew=168)
(1)证明:平面
平面
.
(2)若四棱锥
的体积为4,求四面体
的表面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/813428e32a05c46ae3fb4c2c7353e602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf1c00108ec0fe5eefe9281ca2b1b6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82e15ac85882124bada16b8886b98481.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/da872b18-08b8-4e66-80ca-b57cc45eca64.png?resizew=168)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
(2)若四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/771a7a9e485517a3c1a529608104f32f.png)
您最近一年使用:0次
2020-02-23更新
|
353次组卷
|
2卷引用:广西来宾市2019-2020学年高一上学期期末数学试题
名校
7 . 在三棱锥
中,
,
,
两两垂直,
,
,三棱锥
的侧面积为13,则该三棱锥外接球的表面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41ffdaecfb3c73d403179e5745c71a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb3d1070981fed5ca65a34bb2282e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41ffdaecfb3c73d403179e5745c71a8.png)
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2020-01-11更新
|
2111次组卷
|
9卷引用:广西来宾市2019-2020学年高一上学期期末数学试题
广西来宾市2019-2020学年高一上学期期末数学试题辽宁省辽阳市2019-2020学年高三上学期期末考试数学(理)试题2020届高三1月(考点07)(理科)-《新题速递·数学》吉林省通钢一中、集安一中、梅河口五中等省示范高中2020届高三(5月份)高考数学(文科)模拟试题(已下线)考点28 空间几何体外接球(练习)-2021年高考数学复习一轮复习笔记(已下线)考点35 空间几何体的表面积和体积(考点专练)-备战2021年新高考数学一轮复习考点微专题四川省棠湖中学2020-2021学年高三上学期开学考试数学(文)试题四川省棠湖中学2020-2021学年高三上学期开学考试数学(理)试题广西崇左高级中学2020-2021学年高一下学期开学考试数学(理)试题
解题方法
8 . 有一个底面半径为2,高为2的圆柱,点
,
分别为这个圆柱上底面和下底面的圆心,在这个圆柱内随机取一点P,则点P到点
或
的距离不大于1的概率是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
您最近一年使用:0次
9 . 如图,网格纸上小正方形的边长均为
,粗线画出的是某几何体的三视图,若该几何体的体积为
,则
( )
![](https://img.xkw.com/dksih/QBM/2020/1/2/2368550415998976/2372198242320384/STEM/3e9f5d178c7f451aaabccb762a4ca165.png?resizew=242)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb69696a695cdb5e352d5dbbb7182b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://img.xkw.com/dksih/QBM/2020/1/2/2368550415998976/2372198242320384/STEM/3e9f5d178c7f451aaabccb762a4ca165.png?resizew=242)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-01-11更新
|
199次组卷
|
2卷引用:广西来宾市2019-2020学年高一上学期期末数学试题
10 . 某几何体的三视图(单位:cm)如图所示,其中侧视图是一个边长为
的正三角形,则这个几何体的体积是
![](https://img.xkw.com/dksih/QBM/2017/3/10/1640751348940800/1691720113463296/STEM/adaeca234f134527b7b6c097d3af8785.png?resizew=167)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://img.xkw.com/dksih/QBM/2017/3/10/1640751348940800/1691720113463296/STEM/adaeca234f134527b7b6c097d3af8785.png?resizew=167)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2017-05-21更新
|
592次组卷
|
8卷引用:2016届广西来宾市高三上学期期末文科数学试卷