名校
1 . 在棱长为2的正方体
中,
在线段
上运动(包括端点),下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
A.存在点![]() ![]() ![]() |
B.不存在点![]() ![]() ![]() ![]() |
C.![]() ![]() |
D.以![]() ![]() ![]() ![]() |
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2024-03-13更新
|
630次组卷
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4卷引用:江苏省常州市2023-2024学年高三上学期期末学业水平监测数学试卷
江苏省常州市2023-2024学年高三上学期期末学业水平监测数学试卷江苏省镇江市扬中市第二高级中学2023-2024学年高三下学期期初检测数学试题(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)福建省莆田市第二中学2023-2024学年高二下学期返校考试数学试卷
解题方法
2 . 如图,点M为正方形ABCD的中心,N为等边
的边BE的中点,平面
平面ABCD,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/ca2dfb91-6a42-4a10-86c8-058da1a6133d.png?resizew=170)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5f0cfc1049f84a04c81bd213afb8d9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/ca2dfb91-6a42-4a10-86c8-058da1a6133d.png?resizew=170)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() ![]() |
您最近一年使用:0次
解题方法
3 . 如图,在矩形
中,
,
沿对角线
向上翻折,得到
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37eea7427ee5eeadc693db92b9eb7f51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dafb259e8372485bf3ca36ec4e37122a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/18/108f56f0-a72a-4c24-8e1d-1ed06f0319cb.png?resizew=148)
A.存在点![]() ![]() |
B.三棱锥![]() ![]() |
C.当![]() ![]() ![]() ![]() |
D.当![]() ![]() ![]() ![]() ![]() |
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解题方法
4 . 已知四棱锥
的底面是边长为4的正方形,
,
,则直线
与平面
夹角的正弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40a8d346469e1777c10b4f972c3e51f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebcfbf67ad9e7502ed946ae2d5a8fbb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 如图,在四棱锥
中,
为等腰三角形,
,
,底面
是正方形,
,
分别为棱
,
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/31/532c16d7-b3a4-41c6-8a48-d128fa2ced48.png?resizew=179)
(1)求证:
平面
;
(2)再从条件①、条件②这两个条件中选择一个作为已知,求
与平面
所成角的正弦值.
条件①:
;
条件②:
.
注:如果选择条件①和条件②分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15eae3c2cb4274a947f6a011960934d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb8c91e4c85a9da7f54b2237d870a50d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/31/532c16d7-b3a4-41c6-8a48-d128fa2ced48.png?resizew=179)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)再从条件①、条件②这两个条件中选择一个作为已知,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0530f462e5ec1e58c46e1f7644d0cc21.png)
条件②:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b58bbc02479917ad761a24eaae0dbfd9.png)
注:如果选择条件①和条件②分别解答,按第一个解答计分.
您最近一年使用:0次
名校
6 . 如图,以AD所在直线为轴将直角梯形ABCD旋转得到三棱台
,其中
,
.
;
(2)若
,求直线AD与平面CDF所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a01abf5ae85221309ecf031f2cd872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a204736186742e998dd00acff244a3e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4151e948feebdf7b91fbe739feafa9bc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f7a28709ada2895cec9569e20cf272.png)
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2024-02-04更新
|
1792次组卷
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6卷引用:浙江省温州市2024届高三上学期期末考试数学试题
浙江省温州市2024届高三上学期期末考试数学试题(已下线)新题型01 新高考新结构二十一大考点汇总-3湖南省湘潭市湘潭县第一中学2024届高三下学期2月月考数学试题(已下线)浙江省绍兴市上虞区2022-2023学年高一下学期期末质量调研卷数学试题(已下线)专题01 高一下期末真题精选(2)-期末考点大串讲(人教A版2019必修第二册)广东省东莞市三校(东莞一中、东莞实验、东莞外国语)2023-2024学年高一下学期期中联考数学试卷
名校
解题方法
7 . 如图,在多面体
中,四边形
为平行四边形,且
平面
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e49adfc06a83004ec42a22d9a06c26af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
.点
分别为线段
上的动点,满足
.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
平面
;
(2)是否存在
,使得直线
与平面
所成角的正弦值为
?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1caf5676a9bb01365907b62af59fdbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e49adfc06a83004ec42a22d9a06c26af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df4b833fb7dd03c34ac40c664cd8483d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f2be5f930744983e6829e8c06dc3204.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4649d20f21891975c52cc85dabd83622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09d9d486b7f91ba933210dd013a7f2c.png)
(2)是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a2e3526bc8be03b7a602d25ea2c7e24.png)
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2024-01-31更新
|
1359次组卷
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6卷引用:浙江省湖州市2024届高三上学期期末数学试题
浙江省湖州市2024届高三上学期期末数学试题四川省成都市第七中学2023 2024学年高三下学期入学考试理科数学试卷四川省成都市第七中学2024届高三下学期开学考试数学(理)试题湖南省2024届高三数学新改革提高训练二(九省联考题型)(已下线)黄金卷03(2024新题型)(已下线)高二数学下学期期末押题试卷02(测试范围:新高考全部内容)-【好题汇编】备战2023-2024学年高二数学下学期期末真题分类汇编(新高考专用)
名校
8 . 如图, 在圆台
中,
,点C是底面圆周上异于A、B的一点,
, 点D是
的中点,
为平面
与平面
的交线, 则交线
与平面
所成角的大小为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f4f9446c954a291f779d963f90257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb81f6270ed053e3f8e88da65865af2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa8406f2441769ce49264ccca6585dc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a8735eaaaa942e757f1bf9d84d0c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c643d1581b072f4b61a2211828eb0569.png)
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2024-01-29更新
|
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6卷引用:广东省深圳市高级中学2023-2024学年高三上学期第三次诊断测试数学试题
广东省深圳市高级中学2023-2024学年高三上学期第三次诊断测试数学试题(已下线)重难点6-1 空间角与空间距离的求解(8题型+满分技巧+限时检测)(已下线)第13讲 8.6.2直线与平面垂直的性质定理 (第2课时)-【帮课堂】(人教A版2019必修第二册)(已下线)第16讲 拓展一:立体几何中空间角的问题和点到平面距离问题-【帮课堂】(人教A版2019必修第二册)(已下线)高一下学期期中复习填空题压轴题十七大题型专练(2)-举一反三系列(人教A版2019必修第二册)(已下线)专题01 高一下期末真题精选(2)-期末考点大串讲(人教A版2019必修第二册)
名校
9 . “阳马”是我国古代数学名著《九章算术》中《商功》章节研究的一种几何体,即其底面为矩形,一条侧棱垂直于底面的四棱锥.如图,四棱锥
中,四边形
是边长为3的正方形,
,
,
.
是一个“阳马”;
(2)已知点
在线段
上,且
,若二面角
的余弦值为
,求直线
与底面
所成角的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91d5a57d368261e7a0a61d8386459eea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8337d3e8670a9ed0165ac853b80af3d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8cee96ca90f9f26644860329443ed56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69e27dea946df6947fb791374c992dcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6f351b3ffc75878acdbbe4d4926524f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5930602f8d9bb301d34db872d7a3cd53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34c157ff302a881c17514534903c575f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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2024-01-26更新
|
1505次组卷
|
6卷引用:山西省太原市2024届高三上学期期末学业诊断数学试题
10 . 如图,已知二面角
的棱
上有A,B两点,
,
,
,
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754bbd99327195520a4ca3ce3b9a0577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4cc2f3dcb248fc764614be3a9ddd25b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c638fb895acd987140d0ca6bef097499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaccf1887c4b530fd86a2f0f199c6797.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb0a2d7d40a6c0bf1fddb802db381689.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a6be488d3d68485aaea00e4db96e1ac.png)
A.当![]() ![]() ![]() ![]() |
B.当二面角![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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