名校
解题方法
1 . 如图,在长方形
中,
,现将
沿
折至
,使得二面角
为锐二面角,设直线
与直线
所成角的大小为
,直线
与平面
所成角的大小为
,二面角
的大小为
,则
的大小关系是( )
![](https://img.xkw.com/dksih/QBM/2020/12/22/2619899361886208/2620220709052416/STEM/d2f0416f528449bbbc06174854a15e7e.png?resizew=194)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27de5a8c12bfe7c507d9f90b338ed51d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1335dec9b6a1dcc7b18f7b3989c4cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/117df8d6647d18763502cc18718ccaab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/117df8d6647d18763502cc18718ccaab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ba63ad02b1d5af2982fac3d91eb15c.png)
![](https://img.xkw.com/dksih/QBM/2020/12/22/2619899361886208/2620220709052416/STEM/d2f0416f528449bbbc06174854a15e7e.png?resizew=194)
A.![]() | B.![]() | C.![]() | D.不能确定 |
您最近一年使用:0次
2020-12-23更新
|
965次组卷
|
9卷引用:浙江省湖州中学2019-2020学年高三下学期3月月考(网测)数学试题
浙江省湖州中学2019-2020学年高三下学期3月月考(网测)数学试题(已下线)专题17 立体几何中的折叠、最值、探索性问题-冲刺2020高考跳出题海之高三数学模拟试题精中选萃(浙江专版)(已下线)【新东方】【2020】【高二上】【期中】【HD-LP362】【数学】(已下线)【新东方】杭州新东方高中数学试卷359浙江省宁波市效实中学2020-2021学年高二上学期期中数学试题(已下线)【新东方】杭州新东方数学试卷409(已下线)专题10 立体几何线面位置关系及空间角的计算 第一篇 热点、难点突破篇(练)-2021年高考数学二轮复习讲练测(浙江专用)(已下线)专题06 立体几何初步(难点)-2020-2021学年高一数学下学期期末专项复习(北师大版2019必修第二册)四川省泸县第一中学2023-2024学年高三上学期10月月考数学(理)试题
名校
解题方法
2 . 如图,三棱柱
中,
底面
,且
为正三角形,
为
中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/451ed369-a11b-41df-bf2f-feb355d9e6ff.png?resizew=163)
(1)求证:直线
平面
;
(2)求证:平面
平面
.
![](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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/451ed369-a11b-41df-bf2f-feb355d9e6ff.png?resizew=163)
(1)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1496afecd92a619fbe5e9b736f06f4e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a935b7d21a103a264b6e96ecf82dbe4a.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f7d9ac3c0e60f1419dc90a37ff731b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
您最近一年使用:0次
2021-08-24更新
|
440次组卷
|
9卷引用:【校级联考】浙江省湖州市长兴县、安吉县、德清县2018-2019学年高二(上)期中考试数学试题
【校级联考】浙江省湖州市长兴县、安吉县、德清县2018-2019学年高二(上)期中考试数学试题【全国百强校】广州市第二中学2017-2018学年度高一上数学期末复习题1【全国百强校】广州市第二中学2017-2018学年高一上学期期末复习一数学试题江西省赣州市南康区南康中学2019-2020学年高二上学期10月月考数学试题1湖南省怀化市2019-2020学年高一上学期期末数学试题安徽省亳州市涡阳县第九中学2019-2020学年高二下学期期末数学(文)试题江苏省南京师范大学附属中学江宁分校2020-2021学年高二上学期期初数学试题江西省南昌市豫章中学2021-2022学年高二入学调研(B)数学(文)试题浙江省湖州市长兴县、安吉县、德清县等三县2018-2019学年高二上学期期中数学试题
名校
3 . 已知m,n是两条不同直线,
,
是两个不同平面且
,则下列命题正确的( )
![](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/40b707f5ee4fbb2e637c65fbc6d8ed03.png)
A.若m,n为异面直线且![]() ![]() |
B.若m,n为共面直线且![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
2020-11-27更新
|
703次组卷
|
6卷引用:浙江省湖州市三贤联盟2020-2021学年高二上学期期中联考数学试题
浙江省湖州市三贤联盟2020-2021学年高二上学期期中联考数学试题(已下线)【新东方】【2020】【高二上】【期中】【HD-LP365】【数学】(已下线)【新东方】杭州新东方高中数学试卷363江西省吉安县立中学2020-2021学年高二12月月考数学(理A)试题(已下线)第一章 点线面位置关系 专题二 空间垂直关系的判定与证明 微点2 空间直线垂直的判定与证明综合训练【培优版】(已下线)8.6.2直线与平面垂直(第2课时) 直线与平面垂直的性质(分层作业)-【上好课】
名校
解题方法
4 . 如图,在四棱锥
中,
平面
,底面
是直角梯形,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
,
,
,若动点
在
内及边上运动,使得
,则三棱锥
的体积最大值为______ .
![](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/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c301998d64e8565371dcc4a28debf88b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/491c3a4f72b84ebadd28b90711435adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc24d5628f9d905969dfc323caab303d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7edc2e23df190c35aafad93410a05b8a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/25/ca2a26c2-9357-4142-b01a-3924931f61b9.png?resizew=175)
您最近一年使用:0次
2020-11-17更新
|
1406次组卷
|
8卷引用:浙江省湖州市三贤联盟2020-2021学年高二上学期期中联考数学试题
浙江省湖州市三贤联盟2020-2021学年高二上学期期中联考数学试题(已下线)【新东方】【2020】【高二上】【期中】【HD-LP365】【数学】(已下线)【新东方】杭州新东方高中数学试卷363广东省、辽宁省、湖北省、湖南省、重庆市等八省市2021届高三(上)适应性数学试题八省市2021届高三新高考统一适应性考试江苏省无锡市天一中学考前热身模拟数学试题江苏省南京市中华中学2020-2021学年高二上学期期末数学试题(已下线)考点41 点、直线、平面之间的位置关系-备战2021年高考数学经典小题考前必刷(新高考地区专用)江苏省常州市第一中学2021-2022学年高二下学期4月月考数学试题
名校
5 . 设
为两条不重合的直线,
为两个不重合的平面,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c974dafd7f992c28eb67787daa6387b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85412e0569fef68744f32f3fc084b9fe.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
您最近一年使用:0次
2020-10-26更新
|
469次组卷
|
2卷引用:浙江省湖州中学2021-2022学年高一下学期第二次质量检测数学试题
名校
解题方法
6 . 已知四边形
中,
,
,再将
沿着
翻折成三棱锥
的过程中,直线
与平面
所成角均小于直线
与平面
所成角,设二面角
,
的大小分别为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c055da7b52cc1516fe5e7d7b7e080212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a16dc02090b6e9263555061f14fbc8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db5e1441a49e782ff0ef46e776cde06a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a11759485722f714300c7737e2adf5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9edd1ac27b9be261e2f35a6fbc23c02a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8220a259f16cbb907b544c4983c0890f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc14778010a33f90902ff17b1ec0ac73.png)
A.![]() | B.![]() |
C.存在![]() | D.![]() |
您最近一年使用:0次
名校
7 . 如图所示,在四棱柱
中,底面
是梯形,
,侧面
为菱形,
.
![](https://img.xkw.com/dksih/QBM/2020/8/10/2524927743574016/2527670660644864/STEM/5926af6ed9bc45b29d5195509423c3c6.png?resizew=425)
(1)求证:
;
(2)若
,点D在平面
上的射影恰为线段
的中点,求平面
与平面
所成锐二面角的余弦值.
![](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/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5a19e74dfd34b87b2f3e4d16c583cb.png)
![](https://img.xkw.com/dksih/QBM/2020/8/10/2524927743574016/2527670660644864/STEM/5926af6ed9bc45b29d5195509423c3c6.png?resizew=425)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5b0bfe1e7a956345f7ed58a3b2faa70.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d11340b4efe070df4a9f00744fa8f310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b54387f870ae37f7951b253665d64f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
您最近一年使用:0次
名校
8 . 如图,在四棱锥
中,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380684146999372bf39f6893a30d57e6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/e0a2b30f-a7c4-44f4-a37a-f2592c0e3e86.png?resizew=189)
(1)证明:
;
(2)求
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03121c141fa171d95ec6c0e91ab21889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b218deaa35c7475751c6531ef77491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380684146999372bf39f6893a30d57e6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/e0a2b30f-a7c4-44f4-a37a-f2592c0e3e86.png?resizew=189)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5ea309886e947ea7cb4b81716206fd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
您最近一年使用:0次
9 . 在四面体
中,
,
,
,点P是棱
上的动点,点Q为棱
的中点,记直线
与直线
所成的夹角为
,直线
与平面
所成的角为
,二面角
的平面角为
,则有( )
![](https://img.xkw.com/dksih/QBM/2020/7/30/2516891955380224/2518007260856320/STEM/2ce50d20-5aab-4cf9-b81a-d496584dcb3d.png?resizew=157)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce519312a849963b376c202c3f9d7cf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1c13e2642c7d31216e7aea0980a367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d783fe7f3ce673d5d21281174e7a7968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/715cc9ea5e7d80930284ffb117142770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
![](https://img.xkw.com/dksih/QBM/2020/7/30/2516891955380224/2518007260856320/STEM/2ce50d20-5aab-4cf9-b81a-d496584dcb3d.png?resizew=157)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-07-31更新
|
541次组卷
|
2卷引用:浙江省湖州市长兴中学2020-2021学年高二上学期12月月考数学试题
名校
解题方法
10 . 如图,已知三棱锥
,
,
是边长为2的正三角形,
,
,点F为线段AP的中点.
![](https://img.xkw.com/dksih/QBM/2020/7/13/2505227520450560/2507254581518336/STEM/8eacb5b555ea43d1809fb8fcfa780b20.png?resizew=118)
(Ⅰ)证明:
平面ABC;
(Ⅱ)求直线BF与平面PBC所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e4b16c2c6c9bd089da78122e9d2511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b336e518ac4ff04c6c26e4b8a15844.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20f08ca44f10e3f184fb0e9b2907921.png)
![](https://img.xkw.com/dksih/QBM/2020/7/13/2505227520450560/2507254581518336/STEM/8eacb5b555ea43d1809fb8fcfa780b20.png?resizew=118)
(Ⅰ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.png)
(Ⅱ)求直线BF与平面PBC所成角的正弦值.
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2020-07-16更新
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