名校
解题方法
1 . 在四棱锥
中,底面是平行四边形,
在
上,且
.
为
中点,求证:
平面
;
(2)侧棱
上是否存在一点
,使得
平面
.若存在,求
的值;若不存在,试说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd9d033f15598a1b498b0a4ea21fbd20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defa5b53043ae802bb1af7d14374406d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b165d3a4c4aa784e0d66cadaff8f64e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9428c4a6a25d360a036aaf0a92e40988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc46688d8723cf2003fc25890265200.png)
(2)侧棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6e2867f32d3f1c3cd36cd3a11a8580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b2ba2a78454b3c560ca893d694a227.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a07f232da44a98f260357e304b51ca1.png)
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名校
2 . 对于空间中的直线a,b,c以及平面
,
,下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
A.若![]() ![]() ![]() | B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() | D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024高三·全国·专题练习
名校
解题方法
3 . 如图,在四棱锥
中,底面
是矩形,点
分别在棱
上,其中E是
的中点,连接
.
的中点,求证:
平面
;
(2)若
平面
,求点M的位置.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d02bd5cfe804460846423e77f72db10f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5889e1f093f2c35273d3132ef8434e4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fbb19cb4eb2d7f3207559eb07355ba2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce6c0e9de83f2e64ae33609fc08459d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb841d975d5c7ab05598040e99df6825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb841d975d5c7ab05598040e99df6825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
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名校
解题方法
4 . 如图,在四棱锥
中,底面
是矩形,且
底面
,
,若
且
.
的值;
(2)若
平面
,求点
到平面
的距离.
![](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/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d6fc4687ab74c8a24278153dfe014c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5078d2a4af999f9e38d9e4207beb2dd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac559a1a89bfb16e1c44cdd7ad2f2bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b70cef0b79ca64acbb67dc667fc53b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
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2024-03-14更新
|
698次组卷
|
2卷引用:黑龙江省大庆市实验中学实验二部2023-2024学年高三下学期得分训练数学试卷(二)
5 . 如图,边长为4的两个正三角形
,
所在平面互相垂直,E,F分别为
,
的中点,点G在棱
上,
,直线
与平面
相交于点H.
(1)从下面两个结论中选一个证明:
①
;②直线
,
,
相交于一点;
注:若两个问题均作答,则按第一个计分.
(2)求点A到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a100d3638f0f04db2bd262c051f59b2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe8a84ca3a13f82aff1a022edc66065.png)
(1)从下面两个结论中选一个证明:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af3b9d2567109d0ff92a76f37afe47a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a16f5621716bfef7a056a3f2712feb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e57a13c665af88f326c9890072bf73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
注:若两个问题均作答,则按第一个计分.
(2)求点A到平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b6917095bea8efd3154b72d737f013.png)
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名校
解题方法
6 . 已知不同直线
,
,不同平面
,
,
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
A.若![]() ![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2024-01-18更新
|
226次组卷
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7卷引用:黑龙江省大庆市大庆中学2023-2024学年高二上学期10月月考数学试题
黑龙江省大庆市大庆中学2023-2024学年高二上学期10月月考数学试题湖北省孝感市部分学校2023-2024学年高二上学期9月起点考试数学试题湖北省襄阳市宜城市第一中学2023-2024学年高二上学期9月月考数学试题(已下线)第一章 点线面位置关系 专题一 空间平行关系的判定与证明 微点2 空间平行关系的判定与证明综合训练【培优版】山东省滨州市沾化区实验高级中学 2024届高三上学期第二次月考数学试题(已下线)专题09 立体几何(5大易错点分析+解题模板+举一反三+易错题通关)-1山东省临沂市沂水四中2024届高三上学期12月月考数学试题
名校
解题方法
7 . 下列命题正确的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-04-23更新
|
1299次组卷
|
8卷引用:黑龙江省佳木斯市第一中学2023-2024学年高一下学期5月期中考试数学试题
黑龙江省佳木斯市第一中学2023-2024学年高一下学期5月期中考试数学试题宁夏吴忠市吴忠中学2021-2022学年高一下学期期中考试数学试题(已下线)6.4.1直线和平面平行(课件+练习)山东省实验中学2022-2023学年高一下学期阶段测试数学试题(已下线)8.5.2 直线与平面平行【第一课】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)第8.5.2讲 直线与平面平行-同步精讲精练宝典(人教A版2019必修第二册)(已下线)6.4 .1 直线与平面平行-同步精品课堂(北师大版2019必修第二册)(已下线)11.3.1&11.3.2 平行直线与异面直线、直线与平面平行-【帮课堂】(人教B版2019必修第四册)
8 . 如图,在四棱锥
中,底面
是边长为2的正方形,
为等边三角形,平面
平面
,点
在线段
上,
交于点
,则下列结论正确的是( )
![](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/55a675310c8ba418e5a59beb7317e21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.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/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3c032441543354c154ee67d744abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/27/3ab3d745-5cc7-420f-a695-b65a6338de02.png?resizew=173)
A.若![]() ![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.平面![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2023-09-25更新
|
386次组卷
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2卷引用:黑龙江省牡丹江市第二高级中学2023-2024学年高三上学期第四次阶段考试数学试题
名校
解题方法
9 . 已知平面
,
,
两两垂直,直线a,b,c满足
,
,
,则直线a,b,c可能满足以下哪种关系( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72d2a947e3fdc214d40a7d3f54679a73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5475e10ea3f37788e680395999037a00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77956cfea073ef5bff78151f8ac4d9d.png)
A.两两平行 | B.两两相交 | C.两两异面 | D.两两垂直 |
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名校
解题方法
10 . 如图,四边形
为长方形,
平面
,
,点
分别为
的中点,设平面
平面
.
平面
;
(2)证明:
;
(3)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20fa40b64a2b8a9132514462e9866cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2682f3f3f0f72c893b99073bcac83ff2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b0c740eebf258deb085e0584bdd6820.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ef2fdd876078e4070a8040e1345c60f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f44f2b2f82a9126223138972850aa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64eb31601464364be2baf4aa87404bcd.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75796c706c694269bff36f1c2fda41de.png)
(3)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea56f8a50404ac066bc2099bc58ff58.png)
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2023-08-12更新
|
1313次组卷
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6卷引用:黑龙江省大庆外国语学校2023-2024学年高二上学期开学质量检测数学试题
黑龙江省大庆外国语学校2023-2024学年高二上学期开学质量检测数学试题新疆生产建设兵团第三师图木舒克市第一中学2022-2023学年高一下学期4月月考数学试题石家庄二中实验学校2022-2023学年高二下学期假期学情监测数学试题广东省珠海市斗门区第一中学2023-2024学年高二上学期开学考试数学试题(已下线)专题训练:线线、线面、面面平行与垂直证明大题-同步题型分类归纳讲与练(人教A版2019必修第二册)(已下线)第六章立体几何初步章末二十种常考题型归类(2)-【帮课堂】(北师大版2019必修第二册)