名校
1 . 已知圆锥的顶点为P,底面圆心为O,
为底面直径,
,
,点C在底面圆周上,且二面角
为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8b3bfde4b7cbca10de7d63bb7b2cfd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b80ee363635d73f601654339028daec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47eca9e8032232b63368bd724f9749db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/10/37fd14cc-ab02-450d-bfc6-d3b23d9d7397.png?resizew=182)
A.该圆锥体积为![]() | B.该圆锥的侧面积为![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-07-08更新
|
239次组卷
|
2卷引用:新疆维吾尔自治区喀什第二中学2023-2024学年高二上学期开学测试数学试题
名校
解题方法
2 . 如图,
是正方形
所在平面外一点,且平面
平面
,
、
分别是线段
、
的中点.
(1)求证:
平面
;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/10/c9b82e02-bf2b-4ce4-bc0b-8164c4dd2ea8.png?resizew=200)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb5d56d8170b764b80a672cd6c861921.png)
您最近一年使用:0次
2023-07-08更新
|
320次组卷
|
2卷引用:新疆维吾尔自治区喀什第二中学2023-2024学年高二上学期开学测试数学试题
3 . 已知圆锥的顶点为P,底面圆心为O,AB为底面直径,
,
,点C在底面圆周上,且二面角
为45°,则( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8b3bfde4b7cbca10de7d63bb7b2cfd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b80ee363635d73f601654339028daec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47eca9e8032232b63368bd724f9749db.png)
A.该圆锥的体积为![]() | B.该圆锥的侧面积为![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
2023-06-07更新
|
36644次组卷
|
44卷引用:新疆维吾尔自治区昌吉回族自治州呼图壁县第一中学2023-2024学年高二上学期期初模块测试数学试题
新疆维吾尔自治区昌吉回族自治州呼图壁县第一中学2023-2024学年高二上学期期初模块测试数学试题新疆阿勒泰地区2022-2023学年高二下学期期末考试数学试题四川省成都市成飞中学2023-2024学年高二上学期入学考试数学试题2023年新课标全国Ⅱ卷数学真题(已下线)2023年高考数学真题完全解读(新高考Ⅱ卷)专题06立体几何与空间向量(成品)专题06立体几何与空间向量(添加试题分类成品)(已下线)第04讲 利用几何法解决空间角和距离19种常见考法归类(5)江苏省盐城市响水中学2022-2023学年高一下学期期末模拟数学试题专题06空间向量与立体几何(成品)四川省成都市成都市第七中学2022-2023学年高一下学期6月月考数学试题(已下线)模块五 专题3 期末全真拔高模拟3广西百色市2022-2023学年高一下学期数学期末复习预测试题(已下线)2023年新课标全国Ⅱ卷数学真题变式题6-10福建省华安县第一中学2022-2023学年高一下学期期末考试数学模拟试题(已下线)专题09 立体几何初步山西省晋城市第一中学校2024届高三上学期8月月考数学试题福建省厦门第二中学2024届高三上学期第二次阶段性考试(10月)数学试题湖北省武汉市部分重点中学2023-2024学年高二上学期9月阶段性检测数学试题四川省内江市威远中学2023-2024学年高二上学期第一次月考数学试题广东省湛江市爱周中学2024届高三上学期调研考前模拟 (二)数学试题辽宁省大连市名校2023-2024学年高二上学期11月阶段性模拟测试数学试题(已下线)专题15 立体几何多选、填空题(理科)专题07立体几何与空间向量(已下线)专题02 结论探索型【讲】【通用版】(已下线)模块7 空间几何篇 第2讲:立体几何的截面问题【练】(已下线)第5讲:立体几何中的动态问题【练】(已下线)专题05 空间向量与立体几何(解密讲义)(已下线)专题05 空间向量与立体几何(分层练)(四大题型+21道精选真题)(已下线)第4讲:立体几何中的最值问题【练】(清北二轮)(已下线)专题7.2 空间中的位置关系【十大题型】(已下线)专题7.3 空间角与空间中的距离问题【九大题型】(已下线)重难点11 立体几何常考经典小题全归类【九大题型】(已下线)专题06 立体几何 第二讲 立体几何中的计算问题(解密讲义)贵州省黔西南州兴义五中、兴义六中、晴隆县第三中学2024年春季学期第一次联考数学试卷(已下线)第八章 立体几何初步(二)(知识归纳+题型突破)(2)-单元速记·巧练(人教A版2019必修第二册)(已下线)信息必刷卷05(江苏专用,2024新题型)单元测试A卷——第八章?立体几何初步(已下线)第八章 本章综合--数学思想训练【第二练】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)第八章 本章综合--汇总本章方法【第三课】“上好三节课,做好三套题“高中数学素养晋级之路四川省成都市石室中学2023-2024学年高二下学期5月月考数学试题广东省东莞市海逸外国语学校2023-2024学年高一下学期第三次质量检测数学试题(已下线)五年新高考专题07立体几何与空间向量(已下线)三年新高考专题07立体几何与空间向量
名校
4 . 如图,在四棱锥
中,
,
,点
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/18/4843957b-9858-4465-bcf8-55ad7be977f2.png?resizew=212)
(1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
平面
;
(2)若平面
平面
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b63b504a1086dde6360cb40bb9ea32e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fddc6faf2ebb390cd7fa7de4d315c810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/18/4843957b-9858-4465-bcf8-55ad7be977f2.png?resizew=212)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(2)若平面
![](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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
您最近一年使用:0次
2023-05-18更新
|
1031次组卷
|
4卷引用:新疆巴音郭楞蒙古自治州若羌县中学2024届高三上学期6月摸底考后强化数学试题
5 . 如图,已知三棱柱
,平面
平面
,
,
,
,
分别是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/28/392cfd3d-3ef5-409d-a8c7-287cb5110f39.png?resizew=190)
(1)证明:
;
(2)求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df00cdf77ed39ca5a0b305861a693142.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/ab926d89b65f26c12e3da73ef1e5cf68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e24261d71106c4a78fb187a1171bb6f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/204ffc27244d93a36696a938c1d85798.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/28/392cfd3d-3ef5-409d-a8c7-287cb5110f39.png?resizew=190)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc90fee532e50d319081d571410421.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9a248d1d22e1c29cfbce96b32e2206.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9961e091f180e964a962adf6916f33c8.png)
您最近一年使用:0次
名校
6 . 已知圆
的直径
,
圆
所在平面,
,点
是圆周上不同于
、
的一点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/4/f1545863-8d2f-4ad2-84a5-ebb9446b7057.png?resizew=167)
(1)证明:
;
(2)已知
,点
是棱
上一点,若
与平面
所成角的余弦值为
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b80ee363635d73f601654339028daec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/4/f1545863-8d2f-4ad2-84a5-ebb9446b7057.png?resizew=167)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5148e7fc64ac3fed107192236f8e129d.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/0b60870baa5e3fbc33a749aa5f0a94be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e699f6e1923284a5eecdc897bfbc2337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2023-01-18更新
|
425次组卷
|
3卷引用:新疆乌鲁木齐市第101中学2022-2023学年高二下学期开学考试数学试题
名校
7 . 在四棱锥
中,平面
底面ABCD,底面ABCD是菱形,E是PD的中点,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/e6a95353-0043-4fd0-82fe-b47e99b82296.png?resizew=140)
(1)证明:
平面EAC;
(2)求直线EC与平面PAB所成角的正弦值.
![](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/1d7fca40920c70c01c551e83d61e69b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/e6a95353-0043-4fd0-82fe-b47e99b82296.png?resizew=140)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa69a2247ad4d5231aa361349b12f97.png)
(2)求直线EC与平面PAB所成角的正弦值.
您最近一年使用:0次
2022-12-31更新
|
713次组卷
|
4卷引用:新疆乌鲁木齐市第一中学2022-2023学年高二下学期开学诊断性测试数学试题
名校
解题方法
8 . 如图所示,在四棱锥
中,底面
是边长为4的正方形,
,点
在线段
上,
,点
分别是线段
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/3/744d2351-63e3-42ff-8fa2-c33b85798193.png?resizew=189)
(1)证明:
平面
;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e05b6d03d24f932d6df32afe14aa79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae25bdfe94839f26e9a151d33e44723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf33d73483c93f24cc6a1d76ef22ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481e426224c3a3ce9bb5a731eed81c40.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/3/744d2351-63e3-42ff-8fa2-c33b85798193.png?resizew=189)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9bbc7e0de28c652ae10a8db5b4e2687.png)
您最近一年使用:0次
2022-07-02更新
|
550次组卷
|
4卷引用:新疆乌鲁木齐市第101中学2023-2024学年高二上学期开学考试数学试题
名校
解题方法
9 . 如图,三棱柱
中,点
在平面
内的射影
在线段
上,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/28/23922da5-ee67-40b1-9d02-4dcaca87f354.png?resizew=257)
(1)证明:
;
(2)设直线
与平面
所成角为
,求二面角
的平面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea07c1e3aea17f104399edabbab9861.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/28/23922da5-ee67-40b1-9d02-4dcaca87f354.png?resizew=257)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1515a445310d259a080d02e16c2e58e.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c6ee40dff32baf8ffbf3cd4562c25a.png)
您最近一年使用:0次
2022-06-26更新
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1351次组卷
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3卷引用:新疆乌鲁木齐市第六十一中学2022-2023学年高二下学期开学考试数学试题
10 . 如图,在四棱锥
中,
,
底面
,
是边长为2的菱形,
,正
所在平面与底面
垂直.
![](https://img.xkw.com/dksih/QBM/2022/4/8/2953847934976000/2954472989581312/STEM/c253a32d-6fb2-4092-b310-2028a71673b6.png?resizew=191)
(1)求证:
平面
;
(2)求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9641d01140939c44450bf39773272af6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/d41984f53bb280ba8b5ac00a52ce2825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2022/4/8/2953847934976000/2954472989581312/STEM/c253a32d-6fb2-4092-b310-2028a71673b6.png?resizew=191)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72221ee5b504d596ff799c0b356aa0ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e866091156cbd7beea724fbbdb25082.png)
您最近一年使用:0次
2022-04-09更新
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943次组卷
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3卷引用:新疆生产建设兵团第六师五家渠高级中学2022-2023学年高二下学期开学考试数学试题