名校
1 . 如图所示,
是边长为2的等边三角形,
平面
,
是
的中点.
(1)求证:
平面
;
(2)求二面角
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7f6e3552eddd977fc8560d5316769a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/23/0bc9a75e-661b-4bdc-9246-296b32504a17.png?resizew=107)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/564376a88fa74090de9f7694226a6184.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b796bbaeb8450404c2d146283562006e.png)
您最近一年使用:0次
名校
解题方法
2 . 已知某圆锥的顶点为
,其底面半径为
,侧面积为
,若
,
是底面圆周上的两个动点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0407e1f5977d2cb46d362e8362c8816f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.圆锥的母线长为2 | B.圆锥的侧面展开图的圆心角为![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2023-07-11更新
|
365次组卷
|
2卷引用:新疆维吾尔自治区乌鲁木齐市第二十中学2024届高三上学期12月月考数学试题
名校
解题方法
3 . 如图,直三棱柱
中,
为棱
的中点,
为线段
上的动点.以下结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3a5dc19c960d2fd0c6f14d6688d1475.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
A.存在点![]() ![]() |
B.不存在点![]() ![]() |
C.对任意点![]() ![]() |
D.存在点![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-07-11更新
|
578次组卷
|
8卷引用:新疆生产建设兵团第二师八一中学2023-2024学年高二上学期第一次月考数学试题
新疆生产建设兵团第二师八一中学2023-2024学年高二上学期第一次月考数学试题北京市东城区2022-2023学年高一下学期期末统一检测数学试题(已下线)模块二 专题4 立体几何中的平行与垂直的位置关系 能力卷B(已下线)模块二 专题7 立体几何中的平行与垂直的位置关系 能力卷B(已下线)高一下学期期末复习选择题压轴题二十三大题型专练(2) -举一反三系列(人教A版2019必修第二册)(已下线)专题06 空间中点线面的位置关系6种常考题型归类(2) -期期末真题分类汇编(北京专用)【北京专用】专题15立体几何与空间向量(第四部分)-高一下学期名校期末好题汇编北京市汇文中学2023-2024学年高一下学期期中考试数学试卷
名校
解题方法
4 . 如图,
平面
,
为圆O的直径,
分别为棱
的中点.
(1)证明:
平面
.
(2)证明:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829a1a887ceba13dd8551b1e3604bf6f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/13/51ff050d-5566-460c-94d9-052de5ee0a63.png?resizew=152)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c3a407eb59c67bdfa9bdb78dbc6379a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
您最近一年使用:0次
2023-07-10更新
|
797次组卷
|
3卷引用:新疆维吾尔自治区可克达拉市兵团地州学校2022-2023学年高一下学期期末联考数学试题
5 . 如图,四棱锥
的底面
是梯形,
,
,E为AD延长线上一点,
平面
,
,
,F是PB中点.
(1)证明:
;
(2)若
,三棱锥
的体积为
,求锐二面角
的余弦值.
![](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/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db807b09cc550f476b3f8fa0c6a14425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/885020440f20b5fc2f91ac373ffa004e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a60023f7a8c7310dfad0b55a5266977c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/12/fbc31e23-168a-4b75-a21d-e0759a348e12.png?resizew=144)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2484662ae40c406b054d14a7f9e118.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ea9d92e5c258a50af1e461c7388894.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c4188199c6db7e447f1b642e4997044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61bfc65bfbc357d43069e9aad18f8625.png)
您最近一年使用:0次
6 . 如图,在四棱锥
中,底面
是菱形,
,
,
,
底面
,
,点
在棱
上,且
.
(1)求证:
平面
.
(2)求二面角
的余弦值.
(3)求四面体
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/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a23f01af749100e1888bba06268843db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e126c16032892966489053f44b9048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae890f9e8b32aa53a54158f24f4a87bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc72a44dad13532cb9ddcc64bd78105.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/12/778aeaad-c5bf-4c02-850b-275be8f9db43.png?resizew=185)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56fdf217165748fafe938b64fa08179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5102c216393e133fa25dba98cd78535.png)
(3)求四面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f178906e90bafd73e0ef9f89814855d5.png)
您最近一年使用:0次
解题方法
7 . 如图,正方体
的棱长为2,E,F,G分别为棱
,
,
的中点,则①直线
到平面
的距离为2;②直线
与直线
的夹角的余弦值为
;③点
与点
到平面
的距离之比为
;④平面
截正方体所得截面面积为9.上述结论中正确的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e22ebcc4aa98d46366df48f751a5f368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fec5bd77cfc1313bc200480cc66c766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33adb74906403b0b00fcbd9fa691d8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37d65e051e943ab28fa57aee2fb57994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
您最近一年使用:0次
8 . 设有直线
、
和平面
、
.下列四个命题中,正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
9 . 四棱锥的四个侧面都是腰长为
,底边长为2的等腰三角形,则该四棱锥的高为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619096595112f0340a43b756e114dd3d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-07-09更新
|
801次组卷
|
5卷引用:新疆维吾尔自治区乌鲁木齐市第三十一中学2024届高三上学期10月月考数学试题
新疆维吾尔自治区乌鲁木齐市第三十一中学2024届高三上学期10月月考数学试题四川省成都市成都市第七中学2022-2023学年高一下学期期末数学试题新疆维吾尔自治区乌鲁木齐市第六十八中学2024届高三上学期1月月考数学试题(已下线)第17讲 第八章 立体几何初步 章末重点题型大总结-【帮课堂】(人教A版2019必修第二册)(已下线)专题12 基本立体图形(第1课时)-《重难点题型·高分突破》(人教A版2019必修第二册)
名校
解题方法
10 . 在三棱台
中,
平面
,
,
,
,
.
.
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d25e8fc3dda4f8b45491514b6e22a962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2f39d3fcb1664705228e683c2cc3b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37750daa8ba3b3fe3e9e2092f81c848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570f8b295ee0c7c60e6fe1dbf054ff52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/295aced98768ce261e00fe6660a427a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4fcf607b0710d12aaabd17fd053d83.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
您最近一年使用:0次
2023-07-09更新
|
780次组卷
|
9卷引用:新疆石河子第一中学2023-2024学年高二上学期9月月考数学试题
新疆石河子第一中学2023-2024学年高二上学期9月月考数学试题河北省邢台市2022-2023学年高一下学期期末数学试题河南省周口市2022-2023学年高一下学期期末数学试题(已下线)第一章 空间向量与立体几何 章末测试(基础)-2023-2024学年高二数学《一隅三反》系列(人教A版2019选择性必修第一册)湖南省名校联盟2023-2024学年高二上学期入学摸底考试数学试题重庆市第七中学校2023-2024学年高二上学期期末模拟检测数学试题(已下线)8.6.1直线与直线垂直+8.6.2直线与平面垂直——课后作业(提升版)(已下线)重组1 高一期末真题重组卷(河北卷)B提升卷福建省泉州市安溪第一中学2023-2024学年高一下学期6月份质量检测数学试题