如下图,已知四边形ABCD,ADEF,AFGH均为正方形,先将矩形EDHG沿AD折起,使二面角
的大小为30°,再将正方形
沿
折起,使二面角
的大小为30°,则平面
与平面ABCD所成的锐二面角的余弦值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/16/32f6f0d4-a929-4cee-a907-22b4beddb01f.png?resizew=526)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eead1fcc9585ee9e0034fc2186c75183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a737b7c3d1433ac12f50f2a4bd7e474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad0a19415e796564f30906f2e7dbf76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba9dfdf98494332e12c175518e2f2f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de5a47ecc7590fa400481297463fcdd6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/16/32f6f0d4-a929-4cee-a907-22b4beddb01f.png?resizew=526)
A.![]() | B.![]() | C.![]() | D.![]() |
22-23高二下·上海杨浦·开学考试 查看更多[5]
上海市杨浦高级中学2022-2023学年高二下学期开学考试数学试题(已下线)第八章《立体几何初步》单元达标高分突破必刷卷(基础版)《考点·题型·技巧》第10章 空间直线与平面 单元综合检测(难点)-2023-2024学年高二数学同步精品课堂(沪教版2020必修第三册)(已下线)专题04平面与平面的位置关系(2个知识点8种题型)-【倍速学习法】2023-2024学年高二数学核心知识点与常见题型通关讲解练(沪教版2020必修第三册)(已下线)第10章 空间直线与平面(压轴题专练)-2023-2024学年高二数学单元速记·巧练(沪教版2020必修第三册)
更新时间:2023-03-15 00:48:35
|
相似题推荐
单选题
|
较难
(0.4)
名校
解题方法
【推荐1】已知四面体
中,
,
,
,直线
与
所成的角为
,且二面角
为锐二面角.当四面体
的体积最大时,其外接球的表面积为( )
![](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/bf9ad150cb1e4cd8977d4cc3d99be17c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b0382c28547d3834ca71f3f0677695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca6d1c5eace748465b2dad5065f5111c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
单选题
|
较难
(0.4)
名校
解题方法
【推荐2】如图,已知菱形
的边长为2,且
分别为棱
中点.将
和
分别沿
折叠,若满足
平面
,则线段
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bbca83f3aa1cda54019aa5a610a057b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fa8bd3792adb4f75697357808cd50c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6830ebecddbd9759be626289c408e4f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e7941d355eebcd363be2577d2107496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f81fa367ec317fe2a30142e1c30cce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f3c15b30bd155641e548a7d8c172dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
单选题
|
较难
(0.4)
名校
解题方法
【推荐1】如图,在单位正方体
中,点P是线段
上的动点,给出以下四个命题:
![](https://img.xkw.com/dksih/QBM/2022/5/26/2987806771306496/2989879579000832/STEM/0b706944-4fdd-4179-b9ee-cbea0c649cf7.png?resizew=283)
①异面直线
与直线
所成角的大小为定值;
②二面角
的大小为定值;
③若Q是对角线
上一点,则
长度的最小值为
;
④若R是线段
上一动点,则直线
与直线
不可能平行.
其中真命题有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://img.xkw.com/dksih/QBM/2022/5/26/2987806771306496/2989879579000832/STEM/0b706944-4fdd-4179-b9ee-cbea0c649cf7.png?resizew=283)
①异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad3a1ea6790177130e16c2124984087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
②二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d286cc307396ae72d71f98503b942f7e.png)
③若Q是对角线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7daf1bd6cc2e6229afc02131d714f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
④若R是线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/902f97913e1af1e6c793f7edfe6b2114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
其中真命题有( )
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次
单选题
|
较难
(0.4)
名校
解题方法
【推荐2】如图,已知
中
为直角,
是线段
上任意一点(不含端点),沿直线
将
折成
,所成二面角
的平面角为
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172f1b400d9ddec4ea01f6fd040b3802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff0a49b9a3976893039103a7ba3727e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa19f78fd19c8e5601bba0f52e438ca6.png)
A.![]() | B.![]() ![]() ![]() |
C.![]() | D.![]() ![]() ![]() |
您最近一年使用:0次
单选题
|
较难
(0.4)
名校
【推荐3】已知四面体
的每个顶点都在球O(О为球心)的球面上,
为等边三角形,
,
,且
,则二面角
的正切值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a05e0ab55e325fb3b85fc8ca9c27c76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a88c44f558705de3bcefcfc0ece96b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfc1f76257275ab4b04f9bc913535670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/345d6db266003b4aebea44c46c10fabe.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次