名校
1 . 如图,多面体
由正四棱锥
和正四面体
组合而成.
平面
;
(2)求
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df84914d9cec15285342f91961929d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75bf01006f888d50f60b0735eab922c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae6b57a2a6a2b6c6be28d9b2b65ead2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c77e9c89b7275b0c1a9af5c9a72e5968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
您最近一年使用:0次
2024-01-06更新
|
952次组卷
|
3卷引用:海南省琼中黎族苗族自治县琼中中学2024届高三上学期高考全真模拟数学试题(五)
名校
解题方法
2 . 如图,在正方体
中,棱长为2,M、N分别为
、AC的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/30/b56008ba-9c08-4d69-b4f2-a76a19df14d6.png?resizew=145)
(1)证明:
平面
;
(2)求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/30/b56008ba-9c08-4d69-b4f2-a76a19df14d6.png?resizew=145)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7592c4f01c8e06c7ee90df5b9413a9f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7935fe3125f247b7bea4f065ce9ad985.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb04914c4e8fb3483da44c67fe1809f.png)
您最近一年使用:0次
名校
解题方法
3 . 如图,在四棱锥
中,底面
是平行四边形,
分别为
上的点,且
.
(1)证明:
平面
;
(2)若
平面
为
的中点,
,求二面角
的正切值.
![](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/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac4ee9a98647379757a6f643fb73438.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c781fc002d462d7be259f2235f63a1f8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/28/657a9728-5e11-4395-a7fa-febb29aa5750.png?resizew=158)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d46554105150391e671609fc6348a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9068f29d671d76d1e95ba3a4eaff5b96.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23d11e19c84255eb0431415c2dec553d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a633ce356e31adae2c0f1c4be3bbdfdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0baa2f1a925d67fcd406218b83015d13.png)
您最近一年使用:0次
2023-12-27更新
|
539次组卷
|
4卷引用:海南省海口市海口中学2024届高三上学期第四次月考数学试题
海南省海口市海口中学2024届高三上学期第四次月考数学试题(已下线)高二上学期数学期末模拟卷(二)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第一册)山西省山西大学附属中学校2024届高三下学期第一次月考数学试题(已下线)模块六 立体几何(测试)
4 . 如图,在四棱锥
中,
平面
,
为
的中点,
为
的中点,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/16/5139995d-07a7-49c5-b57d-657035ebbaa1.png?resizew=149)
(1)求证:
平面
;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defa5b53043ae802bb1af7d14374406d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9060f03b9ee41d70d135b1e1a8902ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829018a6ca0aff95d89e3f7cd943274e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46ff87836403b4cf4f728d5ac4d2c87a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/16/5139995d-07a7-49c5-b57d-657035ebbaa1.png?resizew=149)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d32e76582bf550593fdef53e081225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef796b46e68fe77b117ff0483d2370c.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef796b46e68fe77b117ff0483d2370c.png)
您最近一年使用:0次
5 . 如图,点
为正方形
的中心,
为正三角形,平面
平面
,点
是线段
的中点,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/d871e077-b1f2-43b6-b21e-292e773347e0.png?resizew=157)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d631f45bc652539853f236952afa5bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79c1acdd27cebb11e0266464b03b3afb.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/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/d871e077-b1f2-43b6-b21e-292e773347e0.png?resizew=157)
A.直线![]() ![]() | B.直线CD∥平面![]() |
C.直线![]() ![]() | D.二面角![]() |
您最近一年使用:0次
6 . 不重合直线a,b,c和不重合平面
,下列说法:①若
,则
;②若
,则
;③若
,则
;④若
,则
;⑤若
,则
;⑥若
,则
,其中正确的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7cf3147265d4264b90bd19812d37be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa93810472e3f712a41b0256d0679b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347347d0147894ec926890e1eef45de0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2d8bf87219733e47b7165702aa098c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2293799d379200cf746e8450ebd5744f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b8a3b7eb1e1fd3eadfacd8093c93a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fbc714c63815dad9a27418f6492f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a710380505e1a45da7f9c485a7c635.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fbc714c63815dad9a27418f6492f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ccdd91519930803983ce6f02d6f5e1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e81e2fae4bf226cb0311850199f50d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/750323bb31800fd98396e7d4027ef1f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d35a45cfcdfbda18b089ce6698ccdbcd.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
解题方法
7 . 若a,b是两条不重合的直线,
是两个不重合的平面,且
,则a与b的关系不可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc14778010a33f90902ff17b1ec0ac73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c1d9eaea65f5ffc4c6d4bb892ccd614.png)
A.相交 | B.平行 | C.异面 | D.垂直 |
您最近一年使用:0次
解题方法
8 . 如图,在长方体
中,
,点
为
的中点,点
是
上靠近
的三等分点,
与
交于点
.
(1)求证:
平面
;
(2)若
,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/480f4df0a32a910db7d39695ffd86665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cdc08e1c4a04a18d5ecea03393e36d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/6/e50b0c89-8b2e-4a41-a9ab-d3abffa7e1df.png?resizew=180)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280247d7df395bb9ea78c51e67b458d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04731c2f37d21cd66d3f1554c24da16d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ff616a43f18947ab743ee1dcf27854.png)
您最近一年使用:0次
解题方法
9 . 三棱台
中,若
面
,
,
,
,
,
分别是
的中点.
(1)求证:
平面
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845ccc0d735dc14c92a8926d9b1def6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90e17995e2f71e297d94ae51c7e5b1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9260ee90b4107dcdc5b2b0937c40e8c6.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/c3676391efa2ac62958c633b7943e746.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/30/20ddad7a-9ed7-4235-94cd-0ae962869862.png?resizew=153)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef2e72bc4f73790da7c76e46767b4fd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f96c673a2381f118ea2d3efc0bca1f3.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a3f5c4436466bed86c25c5f26ccbeb.png)
您最近一年使用:0次
10 . 下列命题正确的是( )
A.函数![]() ![]() ![]() ![]() ![]() ![]() |
B.平面![]() ![]() ![]() ![]() ![]() |
C.方程![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次