1 . 如图所示,已知
矩形
所在的平面,图中互相垂直的平面有__________ 对.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2017/11/3/1809219865976832/1809470081032192/STEM/2e2a4205b3914b9ca5560e5bcfc1399f.png?resizew=201)
您最近一年使用:0次
2017-11-03更新
|
359次组卷
|
5卷引用:北京市海淀教师进修学校2016-2017学年高二上学期期中考试数学(文)试题
北京市海淀教师进修学校2016-2017学年高二上学期期中考试数学(文)试题2016-2017学年江苏徐州睢宁县古邳中学高二上第一次月考数学试卷(已下线)8.6.3 平面与平面垂直-2020-2021学年高一数学新教材配套学案(人教A版2019必修第二册)第二章 第三节 2.3直线、平面垂直的判定及其性质第 10 章 空间直线与平面 “四基”单元测试
2 . 已知
是等腰直角三角形,
,
是斜边
上的高,以
为折痕使
成直角.在折起后形成的三棱锥
中,有如下三个结论:
①直线
平面
;
②侧面
是等边三角形;
③三棱锥
的体积是
.其中正确结论的序号是__________ .(写出全部正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d59cdc4d6fa9e28e0d7ce6ea74833bb.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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a72dfbf0138a611174c36ce077e0c47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5dd496ee0c1170ef6dcc48266ee444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
②侧面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
③三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/288769fec0207e8e5eb8e3937550860b.png)
您最近一年使用:0次
2017-11-03更新
|
397次组卷
|
2卷引用:北京市西城区41中2016-2017学年高二上学期期中考试数学试题
解题方法
3 . 如图,在四棱锥
中,
平面
,且四边形
是矩形,那么该四棱锥的四个侧面中是直角三角形的有__________ 个.
![](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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/25/04a48664-97b6-448c-8dc3-5725778cb41a.png?resizew=169)
您最近一年使用:0次
2017-11-03更新
|
258次组卷
|
2卷引用:北京市西城区41中2016-2017学年高二上学期期中考试数学试题
4 . 设
,
是不同的直线,
,
是不同的平面,则下列四个命题中正确的是________ .(填序号)
① 若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
;② 若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
,
⊥
,则
⊥
;
③ 若
⊥
,
⊥
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
;④ 若
,
⊥
,
⊥
,则
⊥
.
![](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)
① 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057cdb4057bca398a838e868efd360f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675f1e09eb033dab8ef96d1f1c349150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
③ 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057cdb4057bca398a838e868efd360f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
您最近一年使用:0次
名校
解题方法
5 . 如图,矩形
中,
,
为边
的中点,将
沿直线
翻转成
.若
为线段
的中点,则在
翻折过程中:
![](https://img.xkw.com/dksih/QBM/2017/4/26/1673914377658368/1674997233164288/STEM/9cced382-88ac-4200-a13a-77047a05e7f6.png?resizew=237)
①
是定值;②点
在某个球面上运动;
③存在某个位置,使
;④存在某个位置,使
平面
.
其中正确的命题是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0041488020a3e19377b18a70fbf82e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa2a83fed9bf4cb09d84a980452e346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://img.xkw.com/dksih/QBM/2017/4/26/1673914377658368/1674997233164288/STEM/9cced382-88ac-4200-a13a-77047a05e7f6.png?resizew=237)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc126a3e67c9b81bb9213871b42c0b42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29bcdd8c05cd04f46c6f4ba8aa3cb1d0.png)
③存在某个位置,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2181c78134c310f746eab44b9124e63b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d8d90d123fec1ae1b7b30dac9f88e05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657dffbd3623b705f871878fbd9df57e.png)
其中正确的命题是
您最近一年使用:0次
2017-04-27更新
|
1517次组卷
|
5卷引用:安徽省江淮名校2017-2018学年高二期中考试试题数学(理)
安徽省江淮名校2017-2018学年高二期中考试试题数学(理)2017届安徽省江淮十校高三下学期第三次联考理科数学试卷2017届安徽省江淮十校高三下学期第三次联考文科数学试卷【全国百强校】江西省南昌市第二中学2018-2019学年高二下学期第一次月考数学(文)试题(已下线)三轮冲刺卷04-【赢在高考·黄金20卷】备战2022年高考数学(理)模拟卷(全国卷专用)
名校
6 . 三棱柱
的底是边长为1的正三角形,高
,在
上取一点
,设面
与面
所成的二面角为
,面
与面
所成的二面角为
,则
的最小值是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac4fb99967c46a3855bcf2885b448c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a81da3172abc151e61cbf8a35779551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0109f79d338bdbd1c2969c52a48512c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b16cff607cdc2d69afc70dc778acbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ae369d670e349d3fc60b4295fb823af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b16cff607cdc2d69afc70dc778acbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c1f914da4657eca7865982b130b299.png)
您最近一年使用:0次
2016-12-03更新
|
687次组卷
|
2卷引用:2016届浙江省嘉兴一中高三期中理科数学试卷
9-10高二下·四川眉山·期末
解题方法
7 . 将边长为2,锐角为
的菱形
沿较短对角线
折成二面角
,点
分别为
的中点,给出下列四个命题:
①
;②
是异面直线
与
的公垂线;③当二面角
是直二面角时,
与
间的距离为
;④
垂直于截面
.
其中正确的是______________ (将正确命题的序号全填上).
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/4f3bdc47383c4188a1d0cd702232287b.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/d5011570b2af442ca2d6a16aa50b4819.png?resizew=48)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/ca65a43e3494478a95118b55346ce9a6.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/810255ef761d4c66a79254944bbfd535.png?resizew=79)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/f74b0e92ecab4e3e9f7c16e34c55b10e.png?resizew=33)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/ec89d7d6c115471c900a65d2925c77ae.png?resizew=56)
①
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/83d1761e17144cd5bfa0cea20333825a.png?resizew=61)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/89fa0ce58e95410cae81a945bb88bbd8.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/ee62b038fee34cc08497b0e126e9f4fe.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/ca65a43e3494478a95118b55346ce9a6.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/810255ef761d4c66a79254944bbfd535.png?resizew=79)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/ee62b038fee34cc08497b0e126e9f4fe.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/ca65a43e3494478a95118b55346ce9a6.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/6491e1a091b04eb48433ba3bdcad725d.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/ee62b038fee34cc08497b0e126e9f4fe.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2014/7/7/1571812019953664/1571812025393152/STEM/170241cf8bdd4d57a06b594c39ce0453.png?resizew=37)
其中正确的是
您最近一年使用:0次
13-14高二上·安徽池州·期中
解题方法
8 . 在直角坐标系
中,设A(-2,3),B(3,-2),沿
轴把直角坐标平面折成大小为
的二面角后,这时
则
的大小为_____
![](https://img.xkw.com/dksih/QBM/2010/4/12/1569696237862912/1569696242737152/STEM/f55b2c0f5c304b80b286b8233ca6f32b.png?resizew=32)
![](https://img.xkw.com/dksih/QBM/2010/4/12/1569696237862912/1569696242737152/STEM/5a63a970d866492882c11672eafb70fb.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2010/4/12/1569696237862912/1569696242737152/STEM/8607f1df26304d6dbb0b13d085ac500c.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2010/4/12/1569696237862912/1569696242737152/STEM/a30a481925264639ae5f23511378ad0c.png?resizew=81)
![](https://img.xkw.com/dksih/QBM/2010/4/12/1569696237862912/1569696242737152/STEM/8607f1df26304d6dbb0b13d085ac500c.png?resizew=13)
您最近一年使用:0次
9 . 如图,以等腰直角三角形斜边BC上的高AD为折痕,把△ABD与△ACD折成互相垂直的两个平面后,某学生得出下列四个结论:
①
;
②∠BAC=60°;
③三棱锥D﹣ABC是正三棱锥;
④平面ADC的法向量和平面ABC的法向量互相垂直.
其中正确结论的序号是 .(请把正确结论的序号都填上)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae6e248327278c525b66d174e7845db3.png)
②∠BAC=60°;
③三棱锥D﹣ABC是正三棱锥;
④平面ADC的法向量和平面ABC的法向量互相垂直.
其中正确结论的序号是 .(请把正确结论的序号都填上)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/15/4b24e43a-f2f0-4d81-aba5-0c5c8f8b17fd.png?resizew=282)
您最近一年使用:0次
2016-12-01更新
|
1253次组卷
|
10卷引用:2011-2012学年重庆市万州二中高二上学期期中理科数学试卷
(已下线)2011-2012学年重庆市万州二中高二上学期期中理科数学试卷海南省三亚华侨学校2019-2020学年高二上学期期中数学试题陕西省西安市西北工业大学附属中学2020-2021学年高二下学期期中理科数学试题陕西省西安中学2022-2023学年高二上学期期中理科数学试题广西钦州市第四中学2022-2023学年高二上学期期中考试数学试题沪教版(上海) 高三年级 新高考辅导与训练 第八章 向量 本章测试湖北省黄冈市黄梅国际育才高级中学2019-2020学年高二上学期10月月考数学试题广东省广州市第八十九中学2021-2022学年高二上学期第一次月考数学试题河南省开封市立洋外国语学校2022-2023学年高二上学期第二次月考数学试题吉林省通化市辉南县第六中学2023-2024学年高二上学期第一次半月考数学试题
11-12高二上·浙江嘉兴·期中
解题方法
10 . 点
为
所在平面外一点,
、
、
与平面
所成的角相等,
,则
的形状可以是__________ .(将以下正确答案的序号填上:①等边三角形;②等腰三角形;③非等腰三角形;④等腰直角三角形.)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a15a004f7d47ed595f063e60075223a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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