名校
1 . 如图,在多面体
中,四边形
是边长为
的正方形,
,
,
,平面
平面
.
;
(2)求平面
与平面
所成锐角的余弦值.
![](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/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb5f97d47fbb49fcfcdc7f5e882a80b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f09078cfef11def13fdeb6ba2b42cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2547fdf1f1100a4b1dcc94704449f2b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10eca594d6a0e6f8b7d9c2b62f9e588f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a31a8e1321c1f5c9bc28c9164995187.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae8768996ca9a0f2c5d9a19abbd54df.png)
您最近一年使用:0次
2024-03-07更新
|
533次组卷
|
4卷引用:浙江省杭州第二中学2023-2024学年高二下学期3月月考数学试题
名校
2 . 如图,在多面体ABCDEF中,平面
平面ABCD,
是边长为2的等边三角形,四边形ABCD是菱形,且
,
,
.
平面ACF;
(2)在线段AE上是否存在点M,使平面MAD与平面MBC夹角的余弦值为
.若存在,请说明点M的位置;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d28c625d7ac6878957facc8274d459c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25eff69a4a0dc7a7ab183843303d333.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6034301fc4110da89bdb0f46ad82ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5928c98b341b16d4b5a5b931d2929d.png)
(2)在线段AE上是否存在点M,使平面MAD与平面MBC夹角的余弦值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee14db57f0c762aad845cf5b4a243c0.png)
您最近一年使用:0次
2024-02-04更新
|
409次组卷
|
3卷引用:浙江省2023-2024学年高二下学期3月四校联考数学试题
名校
3 . 已知三棱台
中,平面
平面
,
,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/445cfb40051c3821a95f67c40929c35b.png)
;
(2)求
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0671b4776e142e17a79af5b3f0378ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b16cff607cdc2d69afc70dc778acbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5eb02976be807beda7ac2ebaec4ca69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/445cfb40051c3821a95f67c40929c35b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a90cde96ac04fd1938965bbaab6b0e8.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9961e091f180e964a962adf6916f33c8.png)
您最近一年使用:0次
2024-03-19更新
|
353次组卷
|
3卷引用:浙江省武义第一中学2023-2024学年高二上学期10月检测数学试题
浙江省武义第一中学2023-2024学年高二上学期10月检测数学试题(已下线)专题07 空间直线﹑平面的垂直(二)-《知识解读·题型专练》(人教A版2019必修第二册)宁夏银川一中、昆明一中2024届高三下学期联合考试二模文科数学试卷
解题方法
4 . 已知菱形
的边长为2,
.将菱形沿对角线AC折叠成大小为60°的二面角
.设E为
的中点,F为三棱锥
表面上动点,且总满足
,则点F轨迹的长度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/951609a31601ae3944aba9684de61142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/020ebe1219437129358b986eb9e70bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04fd30d1c73fde67ff18e19dd26a420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1384ffba86ff08ce9e783d5d1bc51686.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-01-24更新
|
309次组卷
|
5卷引用:浙江省杭州市富阳区江南中学2023-2024学年高二上学期12月月考数学试卷
浙江省杭州市富阳区江南中学2023-2024学年高二上学期12月月考数学试卷(已下线)第15讲 8.6.3平面与平面垂直(第2课时)-【帮课堂】(人教A版2019必修第二册)(已下线)专题07 空间直线﹑平面的垂直(二)-《知识解读·题型专练》(人教A版2019必修第二册)(已下线)重难点专题11 轻松搞定立体几何的轨迹问题-【帮课堂】(苏教版2019必修第二册)(已下线)专题8 立体几何中探究问题【练】(高一期末压轴专项)
解题方法
5 . 如图所示,在四棱锥
中,底面是直角梯形,
,
,
,
,侧面
是等边三角形.
(1)证明:平面
平面
;
(2)求二面角
的平面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84e0b7d845cbceccd3e76ca461fcc534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ae16b72924eb24c45f5dcfab07cc01b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d20fec32122b4a70b993976201c9ba9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/22/5947f236-8368-40e4-9748-895f28ad1285.png?resizew=172)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d7d6e5be7914a224e94a7b7e409a79c.png)
您最近一年使用:0次
名校
解题方法
6 . 在三棱锥
中,
平面
,
,
于
,
,
为
中点,则三棱锥
的体积最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9742943d59d907e9145ac5553516c1c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e126c16032892966489053f44b9048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc83f34b5a3c1dc09d990ce4bdc8e078.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/131a2b8beff47078c1210260153599d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2da585f18462b2efc6da8c5b3817f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602ee324ca5bc3cf9ef251a061b431ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406c251d16b88e2ca2263237aeea0b7e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-08-27更新
|
746次组卷
|
2卷引用:浙江省绍兴蕺山外国语学校2023-2024学年高三上学期9月检测数学试题
名校
解题方法
7 . 如图,直三棱柱
中,
是边长为2的正三角形,O为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/3b4a2708-ee86-46b3-9c45-c63bb37e585e.png?resizew=187)
(1)证明:
平面
;
(2)若
,求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/3b4a2708-ee86-46b3-9c45-c63bb37e585e.png?resizew=187)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeebdf3d00c146a1b4d220909d7573c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41fd676c41d2d644928f014b0fea4689.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9539f8fb13345b449274b67bbda995db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea848cd2aa3a464618020475097949fc.png)
您最近一年使用:0次
8 . 已知P,A,B,C四点不共面,若
,直线
与平面
所成的角为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4961a7dd688b8a12db7d1d3480c6b87f.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/341170b2f67a1b7c85c8efba0e451c99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4961a7dd688b8a12db7d1d3480c6b87f.png)
您最近一年使用:0次
解题方法
9 . 在底面为菱形的直四棱柱
中,
为
中点,点
满足
,
,
( )
![](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/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7f7ac5bd7eb2e7f5c1d3e79bc75a542.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de70098ff89ac12b26af3778683d7a25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91b79ee131c944abc042558ea90adb7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/28/232184e1-4535-4f3a-b164-3b128f519759.png?resizew=200)
A.当![]() ![]() | B.当![]() ![]() |
C.当![]() ![]() ![]() | D.当![]() ![]() ![]() |
您最近一年使用:0次
名校
10 . 如图,三棱柱的底面是边长为2的等边三角形,
,
,点
分别是线段
,
的中点,二面角
为直二面角.
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26d8a9d64ad3c8cba28840b41ed7837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48c7a28689896cc033a327f899a79544.png)
您最近一年使用:0次
2023-11-19更新
|
322次组卷
|
2卷引用:浙江省金华市武义第一中学2023-2024学年高二上学期12月检测2数学试题