解题方法
1 . 如图,在四棱锥
,底面
是正方形,侧面
底面
,且
,若
、
分别为
、
的中点.求证:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/23/facb2261-cd7d-4e3d-aac2-ddce94e97cdb.png?resizew=219)
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
平面
;
(2)
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6be2b61f4a38e2ee2c1a01e00b3ae6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2c4cc37d6ba218107c9c5d820740fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18037eb1473bf29cbeadabf51fca022f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252053b853152bd294a8315debd00b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655b6a742dbacdab5aaa298007663dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/23/facb2261-cd7d-4e3d-aac2-ddce94e97cdb.png?resizew=219)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb31ef428bd9de9bc875b343feded3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92dc7c262bba52d1b97c17c6d07e9d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
您最近一年使用:0次
名校
解题方法
2 . 在正方体
中,M,N,P分别为
,AD,
的中点,棱长为1.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/14/e146b5d5-617e-49a1-9ba0-cc78811c0c1c.png?resizew=176)
(1)求证:
平面
;
(2)过M,N,P三点作正方体的截面,画出截面(保留作图痕迹),并计算截面的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1adfcfa3dbc655af0f42d8773eb7710f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb16f7dbc4b9993c4efa0764df1d8ca.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/14/e146b5d5-617e-49a1-9ba0-cc78811c0c1c.png?resizew=176)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3123da0313d458c833e82aaa234b9117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d80ed37728f5933020ccb894541e857.png)
(2)过M,N,P三点作正方体的截面,画出截面(保留作图痕迹),并计算截面的周长.
您最近一年使用:0次
2022-10-11更新
|
552次组卷
|
3卷引用:上海市洋泾中学2022-2023学年高二上学期10月质量检测数学试题
2022高二·上海·专题练习
3 . 如图,已知正方形ABCD和矩形ACEF所在的平面互相垂直,AB=
,AF=1,M是线段EF的中点.
(2)求二面角A﹣DF﹣B的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
(2)求二面角A﹣DF﹣B的大小.
您最近一年使用:0次
2022-11-18更新
|
370次组卷
|
5卷引用:上海市高二上学期【第一次月考卷】(测试范围:第10章-第11章)-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(沪教版2020必修第三册)
(已下线)上海市高二上学期【第一次月考卷】(测试范围:第10章-第11章)-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(沪教版2020必修第三册)(已下线)易错31题专练(沪教版2020必修三全部内容)-2022-2023学年高二数学考试满分全攻略(沪教版2020必修三)(已下线)上海高二上学期期中【常考60题考点专练】(1)(已下线)上海高二上学期期中【易错、好题、压轴60题考点专练】(2)(已下线)期中真题必刷易错40题(17个考点专练)-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(沪教版2020必修第三册)
名校
4 . 如图,已知四边形ABCD为矩形,PD
底面ABCD,PD=DC=2AD=2,E是PC的中点,过E点作EF
PB交PB于点F.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/927faa7f-16f1-4abb-a183-668422b3d1c5.png?resizew=162)
(1)求证:PA
平面EDB;
(2)求证:PB
ED;
(3)求BD与平面EFD所成角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/927faa7f-16f1-4abb-a183-668422b3d1c5.png?resizew=162)
(1)求证:PA
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
(2)求证:PB
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
(3)求BD与平面EFD所成角.
您最近一年使用:0次
名校
5 . 如图,在直三棱柱
中,
,
,
分别为
,
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/16/7a096403-e09e-4693-be92-aecc0f275368.png?resizew=222)
(1)求证:
平面
;
(2)若
,求异面直线
与
所成的角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbdaa2495981cf1f87339efd7911f56f.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/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/16/7a096403-e09e-4693-be92-aecc0f275368.png?resizew=222)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1be642ddd61c3ad26bcbe2dc42e3512.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
您最近一年使用:0次
2022-10-14更新
|
343次组卷
|
2卷引用:上海市华东师范大学第一附属中学2023届高三上学期10月月考数学试题
名校
6 . 在2021年6月17日,神舟十二号载人飞船顺利升空并于6.5小时后与天和核心舱成功对接.如图,是神舟十二号飞船推进舱及其推进器的简化示意图,半径相等的圆
,
,
,
,与圆柱
底面相切于A,
,
,
四点,且圆
与
,
与
,
与
,
与
分别外切,线段
为圆柱
的母线.点
线段
中点,点
在线段
上,且
.已知圆柱
,底面半径为2,
.
![](https://img.xkw.com/dksih/QBM/2022/9/24/3073394627772416/3077134407106560/STEM/1a9d11fdcd454718bc26122f5c85a8d9.png?resizew=249)
![](https://img.xkw.com/dksih/QBM/2022/9/24/3073394627772416/3077134407106560/STEM/616638412e2e4043a9271d45e1fa5d2e.png?resizew=304)
(1)求证:
平面
;
(2)线段
上是否存在一点
,使得
平面
?若存在,请求出
的长,若不存在,请说明理由;
(3)如图,是飞船推进舱与即将对接的天和核心舱的相对位置的简化示意图.天和核心舱为底面半径为2的圆柱
,它与飞船推进舱共轴,即
,
,
,
共线.核心舱体两侧伸展出太阳翼,其中三角形
为以
为斜边的等腰直角三角形,四边形
为矩形.已知推进舱与核心舱的距离为4,即
,且
,
.在对接过程中,核心舱相对于推进舱可能会相对作出逆时针旋转的运动,请你求出在舱体相对距持不变的情况下,在舱体相对旋转过程中,直线
与平面
所成角的正弦值的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f1ac49b4139636fb1809fe970b23a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1a0fd1ad044a9ecfcba672779bd678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f904e5f274c559bdba741df035ed3461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce5991360cbe7b47dc6b44ae4c323bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f4f9446c954a291f779d963f90257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f1ac49b4139636fb1809fe970b23a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1a0fd1ad044a9ecfcba672779bd678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1a0fd1ad044a9ecfcba672779bd678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f904e5f274c559bdba741df035ed3461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f904e5f274c559bdba741df035ed3461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce5991360cbe7b47dc6b44ae4c323bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce5991360cbe7b47dc6b44ae4c323bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f1ac49b4139636fb1809fe970b23a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a696a182fff038a86b2bbe8ca099442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f4f9446c954a291f779d963f90257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edf3e262887cd9bfad78cad43b979b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c4c2157cf374ebe6352715ef100471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d47d2403519f528c80887ad7045b630c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f4f9446c954a291f779d963f90257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55a2310cbba5e050488cd9296eb195d.png)
![](https://img.xkw.com/dksih/QBM/2022/9/24/3073394627772416/3077134407106560/STEM/1a9d11fdcd454718bc26122f5c85a8d9.png?resizew=249)
![](https://img.xkw.com/dksih/QBM/2022/9/24/3073394627772416/3077134407106560/STEM/616638412e2e4043a9271d45e1fa5d2e.png?resizew=304)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac480d8d9d7821b62a603cf5cfda236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfaf581b4f42a25087f7eee23a7d66b6.png)
(2)线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de7ea432599108b34a0ccaa0f2c75e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfaf581b4f42a25087f7eee23a7d66b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
(3)如图,是飞船推进舱与即将对接的天和核心舱的相对位置的简化示意图.天和核心舱为底面半径为2的圆柱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3711953485a76de370a04756009a644a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dacb04fa29178c0af4353e4369a7e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e046095eefc95b26511f64d1cb3bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08cce6cac0fdd4b1a434af8bcaec8fef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134c3d2c318a33a82da4134dd17fa57e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cbf49977b753e293bdf415fccd91abd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23be45176cc25e19752dc551147b02eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19d2a5b65d9119ddd8649164ecde37ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0ff310aabd2282b539537ebed3f788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134c3d2c318a33a82da4134dd17fa57e.png)
您最近一年使用:0次
2022-09-29更新
|
819次组卷
|
7卷引用:上海市五校2022-2023学年高二下学期3月联考数学试题
上海市五校2022-2023学年高二下学期3月联考数学试题湖北省部分重点中学2022-2023学年高二上学期9月联考数学试题湖北省武汉市第十一中学2022-2023学年高二上学期10月月考数学试题(已下线)核心考点05 空间向量及其应用(3)山东省日照市实验高级中学2022-2023学年高二上学期第一次阶段(10月月考)数学试题(已下线)河北省石家庄市河北省实验中学2024届高三上学期名校联考数学试题变式题19-22(已下线)第六章 突破立体几何创新问题 专题二 融合科技、社会热点 微点1 融合科技、社会热点等现代文化的立体几何和问题(一)【培优版】
名校
解题方法
7 . 已知如图,四边形
为矩形,
为梯形,平面
平面
,
,
,
.
为
中点,求证:
平面
;
(2)求直线
与平面
所成角的正弦值;
(3)在线段
上是否存在一点
(除去端点),使得平面
与平面
所成锐二面角的大小为
?若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5bf51c07144386bd23a422d9ceb140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6379891c7150af4188b5ab746d703bae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d20fec32122b4a70b993976201c9ba9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0046177466c78f08d45449dc5639bf38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe7a201432af0a2f9d21c6803906f5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f81fa367ec317fe2a30142e1c30cce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df21b7b7a47318ef2bb069450c39f1cd.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(3)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e40cae1138ce408cf7ebbe14f152d6e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d46d11e82d212c5dd76dfc0bca0399e4.png)
您最近一年使用:0次
2022-01-08更新
|
1195次组卷
|
7卷引用:上海市七宝中学2023-2024学年高二上学期10月月考数学试题
上海市七宝中学2023-2024学年高二上学期10月月考数学试题上海市七宝中学2023-2024学年高二上学期9月月考数学试题天津市静海区第一中学2021-2022学年高三上学期12月学生学业能力调研数学试题(已下线)解密12 空间向量在空间几何体中应用(分层训练)-【高频考点解密】2022年高考数学二轮复习讲义+分层训练(新高考专用)天津市红桥区2022-2023学年高一下学期期末数学试题天津市耀华中学2024届高三第一次校模拟考试数学试卷(已下线)专题04 空间中的平行、垂直关系-期末真题分类汇编(天津专用)
名校
解题方法
8 . 如图,在四棱锥
中,底面ABCD是边长为1的菱形,
,
底面ABCD,
,M为OA的中点,N为BC的中点.
![](https://img.xkw.com/dksih/QBM/2022/9/26/3074962496315392/3077487675555840/STEM/89ab3db848a149f798a7b2df16dded4a.png?resizew=180)
(1)证明:直线
面OCD;
(2)求点B到平面OCD的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a5faf3cbb633fc4294c8ce703c64c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94d01872723102269f05c9d1b77c6e34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4317430d5a2b61d9a2a88b73e7d7ad39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9774f83067ed956a551bc41adcce0469.png)
![](https://img.xkw.com/dksih/QBM/2022/9/26/3074962496315392/3077487675555840/STEM/89ab3db848a149f798a7b2df16dded4a.png?resizew=180)
(1)证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eaa5e336f830a3e5cd60ff7a756f3ef.png)
(2)求点B到平面OCD的距离.
您最近一年使用:0次
2022-09-30更新
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699次组卷
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2卷引用:上海市松江二中2023届高三上学期9月月考数学试题
名校
9 . 如图,在四棱锥PABCD中,底面ABCD是边长为1的菱形,
,
,
为PD的中点,
为AM的中点,点
在线段PB上,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/e0ad567a-4d77-486f-aa8e-43271eb3751b.png?resizew=160)
(1)求证:
平面ABCD;
(2)若平面
底面
,且
,求平面PAD与平面PBC夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0ce06dbe9e1177468781ba4aff85ffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cd5c4f8b106d01e0e431078e1a468b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/6afaa76e94414331574f42873e2b12c3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/e0ad567a-4d77-486f-aa8e-43271eb3751b.png?resizew=160)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a407b262c22419f73396170ecdc849.png)
(2)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ad6a0124359e8b9f7649cf0bff51ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f9425630dcfe5a824c44904d4f71e13.png)
您最近一年使用:0次
2021-12-24更新
|
577次组卷
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5卷引用:上海市华东师范大学第二附属中学2021届高三上学期10月月考数学试题
(已下线)上海市华东师范大学第二附属中学2021届高三上学期10月月考数学试题山东省济南外国语2019-2020学年高三寒假综合测试三月份在线考试试题河北省廊坊市第一中学2021-2022学年高二上学期11月考试数学试题【市级联考】广东省深圳市2019届高三第一次(2月)调研考试数学理试题广东省广州市华南师大附中2018-2019学年高二下期中考试理科数学试题
名校
10 . 在四棱锥
中,
平面
,四边形
是矩形,
分别是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/22/d955797e-f20e-4de6-b9d8-fbb5a25ea443.png?resizew=171)
(1)求证:
平面
;
(2)求二面角
的余弦值.
![](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/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fae73d61d2cd23e406428c4201adb2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1add89591b65658711b0ee4864426d55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/22/d955797e-f20e-4de6-b9d8-fbb5a25ea443.png?resizew=171)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ade6931be0db4f7a771bb764c88c80d9.png)
您最近一年使用:0次
2022-06-21更新
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3156次组卷
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11卷引用:上海市育才中学2023届高三下学期3月月考数学试题
上海市育才中学2023届高三下学期3月月考数学试题河南省洛阳市洛宁县第一高级中学2022-2023学年高二上学期9月月考数学试题广东省潮州市潮安区凤塘中学2024届高三上学期第四次统测数学试题吉林省通化市辉南县第六中学2023-2024学年高二上学期11月月考数学试题安徽省淮北市第一中学2023-2024学年高二上学期第三次月考数学试题2022届全国新高考Ⅱ卷仿真模拟试卷(一)(已下线)7.5 空间向量求空间角(精讲)(已下线)专题16 空间向量及其应用(讲义)-2广东省汕尾市城区汕尾中学2023届高三下学期第一次月考(期末)数学试题广东省河源市龙川县第一中学2023-2024学年高二上学期11月期中考试数学试题(已下线)第一章 空间向量与立体几何(单元提升卷)-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(人教A版2019选择性必修第一册)