名校
1 . 如图,点
为边长为1的正方形
的中心,
为正三角形,平面
平面
,
是线段
的中点,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/759ada0a-7d1d-4d0d-9af2-592bbcc07ff2.png?resizew=193)
![](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/b2b265d121f9ebc13671a5719604476a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa7fb4bb4caccf79639a126064771da5.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/21037e170bdbb322558e79c40c00b454.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/759ada0a-7d1d-4d0d-9af2-592bbcc07ff2.png?resizew=193)
A.直线![]() ![]() |
B.![]() |
C.直线![]() ![]() ![]() |
D.三棱锥![]() ![]() |
您最近一年使用:0次
2022-01-27更新
|
751次组卷
|
4卷引用:湖北省新高考联考协作体2021-2022学年高三上学期期末联考数学试题
湖北省新高考联考协作体2021-2022学年高三上学期期末联考数学试题(已下线)2022年新高考模拟卷(二)-2022年高考数学【热点·重点·难点】专练(新高考专用)重庆市第八中学2022届高三下学期调研检测(二)数学试题江苏省苏州市常熟中学2022-2023学年高一英才班下学期6月学业质量阳光指标调研数学试题
名校
2 . 如图,在直四棱柱
中,底面
是正方形,
,
,若
,
,则下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/cc4055ab-f45a-4e3b-8c83-b9139aeed730.png?resizew=166)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef8866ccf160ddc441bf69c5d3a3d5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3271d3d569e1a6a03d6c6bad906e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee72261f6901e62dfd0ffe547406544.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/cc4055ab-f45a-4e3b-8c83-b9139aeed730.png?resizew=166)
A.当![]() ![]() |
B.直线![]() ![]() ![]() |
C.当平面![]() ![]() ![]() |
D.四面体![]() |
您最近一年使用:0次
名校
解题方法
3 . 已知等边
,点
分别是边
上的动点,且满足
,将
沿着
翻折至
点处,如图所示,记二面角
的平面角为
,二面角
的平面角为
,直线
与平面
所成角为
,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/ee1f97e0-90a7-49cd-abcf-5f4b8df60804.png?resizew=216)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee73452ee4d5437f1399f1235b95e55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e51c49eed6d720f2dc30cf1a79721bfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da46939fd9cffe0fe9267b66b6207ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03952d664fba91020fc5f3bcf2f9746.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/ee1f97e0-90a7-49cd-abcf-5f4b8df60804.png?resizew=216)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
4 . 如图,三棱台
,平面
平面
,侧面
是等腰梯形,
,
分别是
的中点.
![](https://img.xkw.com/dksih/QBM/2022/1/25/2902016318652416/2902719550996480/STEM/8744cd04-a4ba-4d61-8149-46f06f6398d9.png?resizew=175)
(1)求证:
平面
;
(2)求
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a9ad711b25c36dae0c2a2cedff9954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df00cdf77ed39ca5a0b305861a693142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e53b212640dadf751ef7f65a78a209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc3216d0caeb19d4d867c9a890b86a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd7e73c6c794d005c36f08e38283639.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22242f6fbf434d9d4a2012f8a4087857.png)
![](https://img.xkw.com/dksih/QBM/2022/1/25/2902016318652416/2902719550996480/STEM/8744cd04-a4ba-4d61-8149-46f06f6398d9.png?resizew=175)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afabf56cc68ea438a890f9fea04b708e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e6e9dbc333577a1ac8d31f1597ace4.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ef601ca1f9c4c031adab4ffed297f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a211ad5a06b505b8365a62c1946f3cb7.png)
您最近一年使用:0次
解题方法
5 . 已知正四棱柱
的底面边长为
,侧棱长为4,点
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c16eb2486e82a448d27ccdb124c19225.png)
,点
在底面
内,且
,则( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2031d209711b058f3d278ede3c1d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c16eb2486e82a448d27ccdb124c19225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de0b5a7f23a1075b2024b15a0bcfb9fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c965a6952c03e015132e8745d761b58.png)
A.线段![]() |
B.直线![]() ![]() ![]() |
C.![]() ![]() ![]() |
D.三棱锥![]() |
您最近一年使用:0次
解题方法
6 . 在三棱锥
中,
底面ABC,
,
,
,则PB与平面PAC所成角的正切值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc532cfe64300cb3da9e04a307c957a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1baa1c07becd03537beeb09a31745cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4fc2d383876afe5be1103352571805b.png)
您最近一年使用:0次
2022-01-24更新
|
613次组卷
|
3卷引用:辽宁省县级重点高中协作体2021-2022学年高三上学期期末考试数学试题
名校
7 . 传说古希腊数学家阿基米德的墓碑上刻着一个圆柱,圆柱内有一个内切球,这个球的直径恰好与圆柱的高相等.由于这个“圆柱容球”是阿基米德生前最引以为豪的发现,于是他留下遗言:他死后,墓碑上要刻上一个“圆柱容球”的几何图形.如图,在底面半径为1的圆柱
内的球O与圆柱
的上、下底面及母线均相切,设A,B分别为圆柱
的上、下底面圆周上一点,且
与
所成的角为
,则
与圆柱
的底面所成角的正切值为__________ ;直线
与球O的球面交于两点M,N,则
的值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d817b898a4106c0fc24edee630a9eed9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17a5e3927b043383fcec844833d3f093.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/8/55dabb7a-1877-46ad-acf8-28a36094de52.png?resizew=325)
您最近一年使用:0次
2022-01-24更新
|
234次组卷
|
4卷引用:江西省名校2022届高三上学期期末联考数学(理)试题
江西省名校2022届高三上学期期末联考数学(理)试题(已下线)模块三 专题3 题型突破篇 小题满分挑战练(2)(已下线)数学-2022年高考押题预测卷02(江苏专用)河北定州中学2022-2023学年高一下学期5月月考数学试题
8 . 已知三棱柱
的所有棱长均为2,该三棱柱体积等于3,则直线
和平面
所成角的大小为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-01-23更新
|
381次组卷
|
2卷引用:山东省青岛市四区2021-2022学年高三上学期期末考试数学试题
9 . 在四棱锥
中,底面ABCD为菱形,
,
平面ABCD,
,
,E,F分别为AD,PC的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/f977d3ff-06a5-458a-a10a-d2447286fa2a.png?resizew=205)
(1)求证:
;
(2)求直线AF和平面PBE所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/364d6c88726d8c3bb8ed297057332bac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/f977d3ff-06a5-458a-a10a-d2447286fa2a.png?resizew=205)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03d3b1a7b201f380f960db4b6ff2943.png)
(2)求直线AF和平面PBE所成角的正弦值.
您最近一年使用:0次
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10 . 如图,四棱锥
中,
平面
,且四边形
中,
,
,二面角
的大小为
,且
.
![](https://img.xkw.com/dksih/QBM/2022/1/18/2897298400313344/2898727268564992/STEM/b7422ab9-584c-4ef3-822f-58586ad57fe4.png?resizew=213)
(1)求证:平面
平面
;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c74f1828d17c2059a2966fe960757541.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9778dc168ece0bbeb6c91fc42c6d7211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2952c1bb3373bd9cb2b8c59c8ec55f4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7702dbbc663545c6d088d84e91f6fb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e908c5ffd1a0d62400a508a712e37e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04af1c1856ba1c7cc969de81d77aabd4.png)
![](https://img.xkw.com/dksih/QBM/2022/1/18/2897298400313344/2898727268564992/STEM/b7422ab9-584c-4ef3-822f-58586ad57fe4.png?resizew=213)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc45b089f5323ac19636fc84465e60b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9778dc168ece0bbeb6c91fc42c6d7211.png)
您最近一年使用:0次
2022-01-20更新
|
1108次组卷
|
2卷引用:江苏省常州市教育学会2021-2022学年高三上学期学业水平监测数学试题