1 . 如图,已知圆锥的顶点为
,底面圆心为
,高为
,底面半径为2.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/19/0eb400c9-84f0-495a-a911-878c13ad0693.png?resizew=152)
(1)求该圆锥的侧面积;
(2)设
为该圆锥的底面半径,且
,
为
的中点,求二面角
的大小(用反三角表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/19/0eb400c9-84f0-495a-a911-878c13ad0693.png?resizew=152)
(1)求该圆锥的侧面积;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f47ddc7c9fb41942160e3cafcf756776.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ccc37b189fa2cbc269ca0b233dac37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/142b0739dc0ee9499a7df34a4e9dc726.png)
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2023-11-21更新
|
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2卷引用:内蒙古通辽市科左中旗民族职专·实验高中2023-2024学年高二上学期期末数学试题
名校
2 . 如图,在直角梯形
中,
,
,
,
为
的中点,沿
将
折起,使得点
到点
的位置,且
,
为
的中点,
是
上的中点.
平面
;
(2)求二面角
的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd8e727e4efc22b49649f71ae9c9d84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af260e0d98c95d1e092dc4c6d348e3ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21b5ff288b8b59c0494758ae67bbe10d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377240724a516ade73c383c5d13c65ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dec9c5d7af1c18018bce59adcd761e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1bc8a077869e1b8405a4f1b0622ab95.png)
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2023-09-09更新
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1030次组卷
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5卷引用:内蒙古呼和浩特市第二中学2023-2024学年高二上学期10月月考数学试题
内蒙古呼和浩特市第二中学2023-2024学年高二上学期10月月考数学试题四川省南充市阆中市阆中中学校2023-2024学年高二上学期11月月考数学试题安徽省六安第二中学2022-2023学年高一下学期期末考试数学试题安徽省亳州市蒙城县第六中学2023-2024学年高三上学期第一次(10月)月考数学试题(已下线)重难点专题14 利用传统方法解决二面角问题-【帮课堂】(苏教版2019必修第二册)
名校
解题方法
3 . 如图,在正方体
中,二面角
的余弦值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8bdc5f67693ca34d1b2f7df2735df0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/29/d8cabc08-8b11-4aab-82f4-25d9f8ddb7f9.png?resizew=162)
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名校
4 . 如图,在三棱柱
中,侧面
是菱形,且
,侧面
是边长为
的正方形,侧面
侧面
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/7/f1f3f828-0bfa-44ab-a555-a38d18fbfc44.png?resizew=204)
(1)求证:
平面
;
(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/b9b7b7793d29d66dfdd89e7a6564a35c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd57614136e2fc269f698a9c3904e31f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f96c673a2381f118ea2d3efc0bca1f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3e34cc1159ab9198480cd0b585620d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b7b7793d29d66dfdd89e7a6564a35c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/7/f1f3f828-0bfa-44ab-a555-a38d18fbfc44.png?resizew=204)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc75a6b2fef29e6325349803099a1cc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/176b7beb3ee58b075801d6d7f6af1a4f.png)
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2022-07-06更新
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2卷引用:内蒙古赤峰二中2022-2023学年高二上学期第一次月考(11月)数学(理)试题
名校
5 . 如图,在四棱锥
中,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/c4f57c7a-f93c-48e7-b266-038c6421021c.png?resizew=200)
(1)证明:
平面
;
(2)若
,求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adf90a8c2b29334cdc5aa5b554991f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b44f4120c94cb7176dc31fcac387b32e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c204747920948bdaab6c1de890d4399c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/c4f57c7a-f93c-48e7-b266-038c6421021c.png?resizew=200)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f30533da2e1d2a958dc906c37eba9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca036d049f5205cf04cb1b9c5cd03f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e867e5c7ef4da37d8985ce82022060e.png)
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2021-12-10更新
|
835次组卷
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3卷引用:内蒙古赤峰二中2021-2022学年高二上学期第二次月考数学(理)试题
内蒙古赤峰二中2021-2022学年高二上学期第二次月考数学(理)试题江苏省南通市2021-2022学年高三上学期期中数学试题(已下线)热点08 立体几何-2022年高考数学【热点·重点·难点】专练(新高考专用)
解题方法
6 . 图,水平桌面上放置一个棱长为4的正方体的水槽,水面高度恰为正方体棱长的一半,在该正方体侧面
有一个小孔
,
点到
的距离为3,若该正方体水槽绕
倾斜(
始终在桌面上),则当水恰好流出时,侧面
与桌面所成的角正切值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b724168afaee2ecddf97257180be18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b724168afaee2ecddf97257180be18.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/17/63a5c1ff-7756-4dd0-a41f-e589fcec25f7.png?resizew=326)
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2020-12-01更新
|
368次组卷
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7卷引用:内蒙古自治区赤峰市松山区2023-2024学年高二上学期期末学业水平检测数学试题
内蒙古自治区赤峰市松山区2023-2024学年高二上学期期末学业水平检测数学试题福建省泉州市2020-2021学年高二上学期期中考试数学试题(B)山东省菏泽市2020-2021学年高二(上)期中数学试题(b卷)福建省福州市八县(市)协作校2021-2022学年高二上学期期中联考数学试题沪教版(2020) 必修第三册 精准辅导 期中测试(已下线)练习7+点线面的位置关系-2020-2021学年【补习教材·寒假作业】高一数学(人教A版)(已下线)专题07 点线面的位置关系
2020高三·全国·专题练习
名校
解题方法
7 . 如图所示,点
是二面角
棱上的一点,分别在
、
平面内引射线
、
,若
,
,那么二面角
的大小为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/14/2cf1f6d3-ff87-466b-a8ed-b14d423c10ee.png?resizew=166)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ce3f859c6b9a0cfc98bdf5b3d0f395.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3de8ef667c858dcd34cbe7bf4a8c0d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c2cb9c7e3c4155f89edd3fec590790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ce3f859c6b9a0cfc98bdf5b3d0f395.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/14/2cf1f6d3-ff87-466b-a8ed-b14d423c10ee.png?resizew=166)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-11-26更新
|
997次组卷
|
7卷引用:内蒙古自治区呼和浩特市回民区2023-2024学年高二上学期期中数学试题
内蒙古自治区呼和浩特市回民区2023-2024学年高二上学期期中数学试题四川省南充高级中学2020-2021学年高二上学期第二次月考数学(理)试题(已下线)专题02 空间向量与立体几何(同步练习)-(新教材)2020-2021学年高二数学单元复习(人教A版选择性必修第一册)人教B版(2019) 选修第一册 过关检测 第一章 综合把关练(已下线)专题44 空间向量及其应用(同步练习)-2021年高考一轮数学(理)单元复习一遍过(已下线)专题44 空间向量及其应用(同步练习)-2021年高考一轮数学单元复习一遍过(新高考地区专用)(已下线)专题10 盘点求二面角的三种方法-2
名校
8 . 如图,在四棱锥
中,底面
为菱形,
,侧面
为正三角形,且平面
平面
,则下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/2020/9/2/2540999836794880/2543541635104768/STEM/34794c184b7a4ba6b54e019e51ac4794.png?resizew=189)
![](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/ea4f5eec0addba78f2e0cdfb7ecc59a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2020/9/2/2540999836794880/2543541635104768/STEM/34794c184b7a4ba6b54e019e51ac4794.png?resizew=189)
A.平面![]() ![]() | B.异面直线![]() ![]() ![]() |
C.二面角![]() ![]() | D.在棱![]() ![]() ![]() ![]() |
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2020-09-05更新
|
598次组卷
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5卷引用:内蒙古奈曼旗第一中学2020-2021学年高二上学期期中数学(文)试题
名校
9 . 如图,在三棱锥
中,
平面
,△
是直角三角形,
,
,
,点
、
、
分别为
、
、
的中点.
;
(2)求直线
与平面
所成的角的正弦值;
(3)求二面角
的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45fbffb9e2c7fa7c5006cde8da0cabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f96d9e134e1820d80612be1bc590993e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f121eabff3c62c1a196d9ca5f6f83f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/521018fbf59681c18e94d56600a1a80c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7459863f058993e17b7dcf902053eccd.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
(3)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f33997d5b4a0d9a3feafc1a075bc56.png)
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2020-08-06更新
|
1846次组卷
|
6卷引用:内蒙古包钢一中2019-2020学年高二上学期10月月考数学试题
内蒙古包钢一中2019-2020学年高二上学期10月月考数学试题宁夏平罗中学2019-2020学年高二上学期期中考试数学(理)试题广东省肇庆市第一中学2023-2024学年高二上学期开学考试数学试题(已下线)全册综合测试模拟二-【新教材精创】2019-2020高一数学新教材知识讲学(人教A版必修第二册)-《高中新教材知识讲学》天津市滨海新区塘沽第一中学2020-2021学年高三上学期第二次月考数学试题河南省周口市太康县第一高级中学2023-2024学年高一下学期5月月考数学试题
10 . 已知直角梯形ABCD,
,
平面ABCD,
,
,
,求:
(1)点B到平面CDE的距离;
(2)二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f761521c07e5f7476d145cd0c2ec38ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662698361c6b3ddaf0c28a3c87be53e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8365271d3239f07360fb71e86a8cc3ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d2231c7a2875ab6d423dff3ead4069.png)
(1)点B到平面CDE的距离;
(2)二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1d76403bac26df50d934d93586f8a11.png)
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