名校
解题方法
1 . 如图,在圆柱
中,轴截面ABCD为正方形,点F是
的上一点,M为BD与轴
的交点.E为MB的中点,N为A在DF上的射影,且
平面AMN,则下列选项正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae0a4f38420bb9215dbc9c875b755838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae0a4f38420bb9215dbc9c875b755838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
A.![]() |
B.![]() |
C.![]() |
D.F是![]() |
您最近一年使用:0次
2024-03-08更新
|
1644次组卷
|
8卷引用:河北省部分学校联考2024届高三下学期3月模拟(二)数学试题
河北省部分学校联考2024届高三下学期3月模拟(二)数学试题河北省衡水市枣强县衡水董子高级中学2023-2024学年高三下学期3月月考数学试题河北省石家庄市2024届高三下学期教学质量检测(一)数学试题河北省保定市清苑区清苑中学2023-2024学年高一下学期5月自测数学试题(已下线)专题 14 立体几何中线面垂直的判定问题(一题多解)(已下线)第1套 全真模拟篇 【模块三】(已下线)第四章 立体几何解题通法 专题四 投影变换法 微点3 投影变换法综合训练【培优版】(已下线)6.5.1 直线与平面垂直-同步精品课堂(北师大版2019必修第二册)
名校
2 . 在如图所示的组合体中,
是直三棱柱,延长
至
,使
,连接
,
,
分别是
,
的中点,动点
在直线
上,
,
,
.
(1)试判断直线
与平面
的关系并证明;
(2)试确定动点
的位置,使二面角
的余弦值为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a9ad711b25c36dae0c2a2cedff9954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212bfbd5575772ca36d6fc3e7b246e49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cdc08e1c4a04a18d5ecea03393e36d.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/87cdc08e1c4a04a18d5ecea03393e36d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/883fc5e3faf39829d60804b59deb1730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08c596aff6331566a0149449183c2024.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/13/adae144c-12e6-482a-8125-e1e3b7c8d723.png?resizew=197)
(1)试判断直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)试确定动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/420b54e52397491c0f517c741f4bd059.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602baac86c2b1668ecdfadc8a5948885.png)
您最近一年使用:0次
2023-09-12更新
|
531次组卷
|
3卷引用:河北省石家庄市部分学校2023届高三下学期期中数学试题
解题方法
3 . 如图,在四棱台
中,
平面
,上、下底面均为正方形,
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0424446817f60c18f8e4e3cc202ad99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ecf072589c0f901d92f6bda111d841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54638dd4ebf19815a1333d84e42f927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08c596aff6331566a0149449183c2024.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/13/c4f26c32-0b61-4a8f-b561-d63773b886cd.png?resizew=190)
A.直线![]() ![]() |
B.异面直线![]() ![]() ![]() |
C.若该四棱台内(包括表面)的动点![]() ![]() ![]() ![]() ![]() |
D.若底面![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
解题方法
4 . 如图,在等腰梯形
中,
,
,
,M为
中点,将
沿直线
翻折至
.则在
翻折过程中,下列判断正确的是( ).
![](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/f80f51c31583fea58fde645474d60b8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e73c8c1d2ba6b29b301380a45dfbcdd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad09a769a75b107390b9eeccc929f761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb0a272d6917c569c36b60dd9ec8094.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad09a769a75b107390b9eeccc929f761.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/7/e14c6464-1c3e-4558-ac81-bea434f26bc2.png?resizew=186)
A.在![]() ![]() ![]() |
B.存在某个位置,使得![]() |
C.当![]() ![]() ![]() ![]() |
D.四棱锥![]() |
您最近一年使用:0次
解题方法
5 . 在正三棱锥
中,
,点
在线段
上.过点
作平行于
和
的平面
,分别交棱
于点M,N,O.
(1)证明:四边形
为矩形;
(2)若
,求多面体MNPOBC的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4357d5744046d4d44abb09e1ee35fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57c6b0a6cb307c4c02f503831862f7d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d0abaa4e36f9675f849c300dff7056.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/7/b0c010cf-ca18-4bd2-8d6f-4ade61823669.png?resizew=130)
(1)证明:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ee04f40f79d73e803b91530e208330.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8de90eb325adb8122baa14c7e49f703.png)
您最近一年使用:0次
名校
解题方法
6 . 在正三棱锥
中,
分别为棱
的中点,
分别在线段
上,且满足
,则下列说法一定正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75dc5b9679ae83920b94dbdfd14b0648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2d3a6a3c54c77999e7804169c72f617.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c8e6d76f3b649d52032999209b91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3915237d7256f139add25576584cc6dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcaf87ad4f498be78880f2bd5db0221f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9535b2f577103e9fb7fb28e01ba1520.png)
A.直线![]() ![]() |
B.直线![]() ![]() |
C.直线![]() ![]() |
D.直线![]() ![]() ![]() |
您最近一年使用:0次
2023-05-07更新
|
598次组卷
|
3卷引用:河北省唐山市曹妃甸区第一中学2022-2023学年高一下学期期末数学试题
河北省唐山市曹妃甸区第一中学2022-2023学年高一下学期期末数学试题安徽省马鞍山市2023届高三三模数学试题(已下线)第二章 立体几何中的计算 专题一 空间角 微点1 异面直线所成角(一)【培优版】
名校
解题方法
7 . 如图1,四边形ABCD是等腰梯形,E,F分别是AD,BC的中点,
.将四边形ABFE沿着EF折起到四边形
处,使得
,如图2,G在
上,且
.
平面DFG;
(2)求平面DFG与平面
夹角的余弦值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a4f0b5ec9e40e70c00eaae68d1d3888.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52bf6ff245d22c6dbebbb36bb780d3ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11197fb5a297ccd643d34ecdbd04f794.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce1b066f8869d0ff4513f7a99745125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ade35115ffaa4d6d6f1c2e136bd5f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07391ef575d28f09bc5cda0ff8130a54.png)
(2)求平面DFG与平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74bca84ad86c648d3bb20c8909c8da3f.png)
您最近一年使用:0次
2023-03-17更新
|
1647次组卷
|
3卷引用:河北省邯郸市2023届高三一模数学试题
名校
解题方法
8 . 圆柱
如图所示,
为下底面圆的直径,
为上底面圆的直径,
底面
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2022/5/25/2986891897692160/2987724381298688/STEM/5a8b1c56-2246-4566-89d0-40b77e3baf1d.png?resizew=155)
(1)证明:
面
.
(2)求圆柱
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5928c98b341b16d4b5a5b931d2929d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d212c1709b8e72a055cf1b5381ef64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de966c316db1013defc56372fcf814e.png)
![](https://img.xkw.com/dksih/QBM/2022/5/25/2986891897692160/2987724381298688/STEM/5a8b1c56-2246-4566-89d0-40b77e3baf1d.png?resizew=155)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/574a6cff0aca240f071ed933c28e32f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e2da608b66c9aee03e2503388ba4fd.png)
(2)求圆柱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
您最近一年使用:0次
2022-05-26更新
|
870次组卷
|
5卷引用:河北省沧衡八校联盟2021-2022学年高一下学期期中数学试题
河北省沧衡八校联盟2021-2022学年高一下学期期中数学试题重庆市实验中学校2021-2022学年高一下学期期末复习(三)数学试题广东省揭阳市普宁市2021-2022学年高一下学期期末数学试题(已下线)8.6.1 空间直线、平面的垂直(精练)-2022-2023学年高一数学一隅三反系列(人教A版2019必修第二册)(已下线)期末复习06 空间几何线面、面面平行-期末专项复习
解题方法
9 . 已知正方体
的棱长为1,点P是线段
上(不含端点)的任意一点,点E是线段
的中点,点F是平面
内一点,则下面结论中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
A.![]() ![]() |
B.以![]() ![]() ![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
2022-03-21更新
|
2021次组卷
|
5卷引用:河北省张家口市2022届高三第一次模拟数学试题
河北省张家口市2022届高三第一次模拟数学试题广东省湛江市2022届高三一模数学试题广东省肇庆市2022届高三下学期第三次教学质量检测数学试题(已下线)三轮冲刺卷02-【赢在高考·黄金20卷】备战2022年高考数学模拟卷(新高考专用)(已下线)5.1 三角函数的定义(精练)-【一隅三反】2023年高考数学一轮复习(提升版)(新高考地区专用)