名校
1 . 在长方体
中,
与平面
所成的角为
与
所成的角为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebb05874eb3353d754af24c9974273e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b77cc3aef2763547eb20c7f0610c65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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昨日更新
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5卷引用:河南省濮阳市2024届高三第三次模拟考试数学试题
河南省濮阳市2024届高三第三次模拟考试数学试题2024届河南省名校联盟考前模拟大联考三模数学试题陕西省西安市第一中学2023-2024学年高三下学期高考考前模拟考试理科数学试题(已下线)专题06 空间角、距离的计算-期末考点大串讲(苏教版(2019))(已下线)必考考点7 立体几何中角和距离 专题讲解 (期末考试必考的10大核心考点)
2 . 在三棱锥A-BCD中,E、F分别是AB,CD的中点,若
,
,AD与BC所成的角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/341e8dae00f6b2abc94199ccfd6cf180.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68004768b879c6a052f45a2c45217cd6.png)
A.30° | B.60° | C.120° | D.150° |
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名校
解题方法
3 . 如图,在棱长为2的正方体
中,P为线段
上的动点,则下列结论错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
A.直线![]() ![]() ![]() |
B.当![]() ![]() ![]() ![]() |
C.当![]() ![]() |
D.若![]() ![]() ![]() |
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4 . 下列说法正确的是( )
A.异面直线所成的角范围是![]() |
B.命题“![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.![]() ![]() |
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2024-02-12更新
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2卷引用:四川省雅安市天立学校2022-2023学年高二下学期第三次教学质量检测(理)试题
5 . 已知四棱锥
底面
是矩形,其中
,
,侧棱
底面
,E为
的中点,四棱锥
的外接球表面积为
,则直线
与
所成角的正弦值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/dd0b9d7e-ce6a-4c9e-9c91-8681d8de9ddb.png?resizew=122)
![](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/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.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/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9c176877b59cd7c34fcc0838b05493.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/dd0b9d7e-ce6a-4c9e-9c91-8681d8de9ddb.png?resizew=122)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 在棱长为
的正方体
中,
、
分别为
、
的中点,则下列说法不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
A.当三棱锥![]() ![]() ![]() ![]() |
B.异面直线![]() ![]() ![]() |
C.点![]() ![]() ![]() ![]() ![]() ![]() |
D.过点![]() ![]() ![]() ![]() ![]() |
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4卷引用:理科数学-【名校面对面】河南省三甲名校2023届高三校内模拟试题(六)
理科数学-【名校面对面】河南省三甲名校2023届高三校内模拟试题(六)(已下线)专题8.13 立体几何初步全章综合测试卷(提高篇)-举一反三系列四川省成都市第七中学2024届高三下学期4月分推考试数学(理科)试卷陕西省西安市西安中学2024届高三模拟考试(九)数学(理科)试题
解题方法
7 . 在正方体
中,
分别为
和
的中点,则异面直线
与
.所成角的余弦值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15dc61d5de97b5a40be925b278ae494c.png)
A.0 | B.![]() | C.![]() | D.![]() |
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名校
8 . 下列命题正确的个数为( )
①长方体
中,
,
,则异面直线
与
所成角的余弦值为
;
②对于命题:
,则命题p的否定:
;
③“
”是“
”的充分不必要条件.
①长方体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829018a6ca0aff95d89e3f7cd943274e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92535536bd3c2761724fd058427f95a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64e76a4c1e5934f51cdca2ffbc8313f.png)
②对于命题:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9e4e47b6400ba3416694d3c578e12a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c01552be050fff5ee2106d13cc84bf0d.png)
③“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae8adaa3d42ccb9d59e0d6b6f60bf73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5553e7018e6e14755bbcda2b657c7b03.png)
A.0 | B.1 | C.2 | D.3 |
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9 . 已知正方体
为下底面
的中心,
为棱
的中点,则下列说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe3fa177e2f5791bdf1cc5d348c1f003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
A.直线![]() ![]() ![]() | B.直线![]() ![]() ![]() |
C.直线![]() ![]() | D.直线![]() ![]() ![]() |
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|
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2卷引用:河北省承德市部分高中2024届高三上学期12月期中数学试题
名校
解题方法
10 . 将正方形
沿对角线折成直二面角
,以下结论中错误 的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f1854ba6cc92481d7a616bd2788a47e.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
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