名校
1 . 如图,在
二面角的棱上有两点A、B,线段AC、BD分别在这个二面角的两个面内,并且都垂直于棱AB,若
,则线段CD的长为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/4558b691-5c8b-4539-8882-e27d5e25a17d.png?resizew=204)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d97682083decd8f58dc5bd42aab2f3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/4558b691-5c8b-4539-8882-e27d5e25a17d.png?resizew=204)
A.![]() | B.16 | C.8 | D.![]() |
您最近一年使用:0次
2020-01-09更新
|
1147次组卷
|
14卷引用:湖北省武汉市育才高级中学2021-2022学年高二上学期第一次月考数学试题
湖北省武汉市育才高级中学2021-2022学年高二上学期第一次月考数学试题湖北省重点中学四校(襄阳五中、钟祥一中、夷陵中学、随州一中)2021-2022学年高二上学期联考学试题湖北省武汉市第十九中学2023-2024学年高二上学期10月月考数学试题吉林省长春市榆树市2019-2020学年高二上学期期末数学(理)试题(已下线)人教B版2019选择性必修第一册综合测试(基础过关)-2020-2021学年高二数学单元测试定心卷(人教B版2019选择性必修第一册)重庆市第三十七中学校2020-2021学年高二上学期期中数学试题(已下线)专题03 空间向量与立体几何的压轴题(一)-【尖子生专用】2021-2022学年高二数学考点培优训练(人教A版2019选择性必修第一册)(已下线)第一章 (综合培优)空间向量与立体几何 B卷-【双基双测】2021-2022学年高二数学同步单元AB卷(人教A版2019选择性必修第一册)安徽省芜湖市2021-2022学年高二上学期期中联考数学试题浙江省湖州市吴兴高级中学2021-2022学年高二上学期10月阶段性测试数学试题广东省佛山市南海区南海中学2022-2023学年高二上学期第一次段考数学试题湖南省郴州市嘉禾县第六中学2022-2023学年高二上学期第二次月考数学试题辽宁省大连市第八中学2021-2022学年高二上学期10月阶段考试数学试题重庆市万州沙河中学2023-2024学年高二上学期10月月考数学试题
2 . 在直四棱柱
中,底面
是菱形,
,
,
、
分别是线段
、
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/b5ba0577-4c01-47bb-a6b9-10b7fa346500.png?resizew=178)
(1)求证:
;
(2)求平面
与平面
所成锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6906f59d09ce31956d6f5ea2b23fc77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ee9a532fa778770cc599d8592a9cfd.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/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/b5ba0577-4c01-47bb-a6b9-10b7fa346500.png?resizew=178)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/509d8dd6031dc0ef92075877e53fe201.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6261790c66cc71ee3898afabad0c09f4.png)
您最近一年使用:0次
2020-01-03更新
|
548次组卷
|
2卷引用:湖北省新高考协作体2022届高三下学期3月质量检测巩固数学试题
3 . 如图,圆形纸片的圆心为
,半径为
,该纸片上的正方形
的中心为
,
、
、
、
为圆
上点,
,
,
,
分别是以
,
,
,
为底边的等腰三角形,沿虚线剪开后,分别以
,
,
,
为折痕折起
,
,
,
,使得
、
、
、
重合,得到四棱锥.当该四棱锥体积取得最大值时,正方形
的边长为______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/244ea6a312d4b6831a6b833ea3f4fcd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee50575e3ebd56c4f46dd0bbf8e55d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbda7249e6387d4a0ad11595883a584f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f12cc84355f5585d1e3d12dde4e0c795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc6c92562ed4769af22da8b6d1006d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96239564d22c91aaa0f9f78cf487a25.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbda7249e6387d4a0ad11595883a584f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f12cc84355f5585d1e3d12dde4e0c795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc6c92562ed4769af22da8b6d1006d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96239564d22c91aaa0f9f78cf487a25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee50575e3ebd56c4f46dd0bbf8e55d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97153bc3d02dfb38ee046487a8037a41.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/22/3ca4eaa7-9a51-4a38-b844-44e0b30674d6.png?resizew=170)
您最近一年使用:0次
4 . 某三棱锥的三视图如图所示,则该三棱锥的体积为
![](https://img.xkw.com/dksih/QBM/2019/12/27/2364124288344064/2365124242538496/STEM/7b243e35104e49568211f3f1dfab3a7a.png?resizew=111)
![](https://img.xkw.com/dksih/QBM/2019/12/27/2364124288344064/2365124242538496/STEM/403438ed72da48c39e08ded14af7e943.png?resizew=75)
正(主)视图 侧(左)视图
![](https://img.xkw.com/dksih/QBM/2019/12/27/2364124288344064/2365124242538496/STEM/76db3d1a5e66421fa6d49e5e3b00affa.png?resizew=103)
俯视图
![](https://img.xkw.com/dksih/QBM/2019/12/27/2364124288344064/2365124242538496/STEM/7b243e35104e49568211f3f1dfab3a7a.png?resizew=111)
![](https://img.xkw.com/dksih/QBM/2019/12/27/2364124288344064/2365124242538496/STEM/403438ed72da48c39e08ded14af7e943.png?resizew=75)
正(主)视图 侧(左)视图
![](https://img.xkw.com/dksih/QBM/2019/12/27/2364124288344064/2365124242538496/STEM/76db3d1a5e66421fa6d49e5e3b00affa.png?resizew=103)
俯视图
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
5 . 如图,在三棱柱
中,
是
的中点,
是
上一点,但
平面
,则
的值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ebe6a446b91e73b181f9f4d56264dd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0278f9809e118b80c9946d9b9ae40c83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60e3de5e5f13bb95637e13f6c82d7988.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/e51d92b1-428f-4d49-a985-506ec11cb3bb.png?resizew=159)
您最近一年使用:0次
2019-10-28更新
|
2852次组卷
|
6卷引用:湖北省华中师范大学第一附属中学2021-2022学年高二上学期期中数学试题
湖北省华中师范大学第一附属中学2021-2022学年高二上学期期中数学试题人教B版 必修2 必杀技 第一章 1.2.2空间中的平行关系课时2 直线与平面平行人教A版(2019) 必修第二册 必杀技 第8章 8.5.2 直线与平面平行(已下线)考点22 空间几何平行问题(练习)-2021年高考数学复习一轮复习笔记(已下线)【新教材精创】11.3.2直线与平面平行(第2课时)练习(1)苏教版(2019) 必修第二册 必杀技 第13章 立体几何初步 13.2 基本图形位置关系 13.2.3 直线与平面的位置关系 课时1 直线与平面平行
6 . 如图,
、
分别是三棱锥
的棱
、
的中点,
,
,
,则异面直线
与
所成的角为
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/10/36bbbc3d-7745-4a65-b0ba-725a13cd9c7a.png?resizew=155)
![](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/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c893198d60f9129971aabf596d0ec2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec82d5207daadaefea6846b4036347a8.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/2022/12/10/36bbbc3d-7745-4a65-b0ba-725a13cd9c7a.png?resizew=155)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
19-20高一·浙江杭州·期末
名校
7 . 如图为一个几何体的三视图,则该几何体中任意两个顶点间的距离的最大值为
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/9014d5aa-28a9-46b4-87db-cd241d92a3ff.png?resizew=221)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/9014d5aa-28a9-46b4-87db-cd241d92a3ff.png?resizew=221)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-10-12更新
|
172次组卷
|
5卷引用:2019年9月湖北省黄冈市高三质量检测数学(理)试题
8 . 已知不同的两条直线m,n与不重合的两平面
,
,下列说法正确的是( )
![](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 . 如图,在四棱锥
中,
平面
,底面是棱长为
的菱形,
,
,
是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/10/5784c08c-8831-4e86-9694-ebeba116736d.png?resizew=195)
(1)求证:
//平面
;
(2)求直线
与平面
所成角的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c161375e4e6f61f1cbef8083c02e975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/364d6c88726d8c3bb8ed297057332bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/10/5784c08c-8831-4e86-9694-ebeba116736d.png?resizew=195)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68a7bf0da4f7c6f739d2e2461ad9b7.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2019-08-02更新
|
1074次组卷
|
4卷引用:湖北省孝感市孝南区孝感高级中学2019-2020学年高二上学期9月月考数学试题
10 . 如图,四棱锥
中,底面 ABCD为矩形,侧面为正三角形,且平面
平面
E 为 PD 中点,AD=2.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/2723d66a-2dfa-45a1-bf48-e2122f297d55.png?resizew=193)
(1)证明平面AEC丄平面PCD;
(2)若二面角
的平面角
满足
,求四棱锥
的体积.
![](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/efe11ff2c080a2346c3a0f156ebaabd2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/2723d66a-2dfa-45a1-bf48-e2122f297d55.png?resizew=193)
(1)证明平面AEC丄平面PCD;
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75eb1402f4270b68723f61f9e6375d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4009bdd7f95dbfc97141b7c8b836dfa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
您最近一年使用:0次
2019-08-02更新
|
887次组卷
|
8卷引用:湖北省沙市中学、郧阳中学、恩施高中、随州二中2019-2020学年高二上学期第三次月考数学试题
湖北省沙市中学、郧阳中学、恩施高中、随州二中2019-2020学年高二上学期第三次月考数学试题湖南师范大学附属中学2018届高三上学期月考试卷(三)(11月)数学理试题辽宁省实验中学、大连八中、大连二十四中、鞍山一中、东北育才学校2017-2018学年高二上学期期末考试数学(理)试题河北省武邑中学2018届高三上学期第五次调研考试数学(理)试题福建省闽侯第六中学2017-2018学年高二上学期期末考试数学(理)试题湖南省五市十校2018-2019学年高二下学期期末联考数学(理)试题1湖南省五市十校2018-2019学年高二下学期期末联考数学(理)试题2辽宁省实验中学东戴河分校2019-2020学年高二上学期12月月考数学试卷