1 . 如图,四棱锥
中,底面
为矩形,
平面
,若
,
,三棱锥
的体积
,则
到平面
的距离是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98823cbc09ca52df1fbcc446eba3e44f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d783fe7f3ce673d5d21281174e7a7968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddfe0ccf24d760c77535a70c92dad145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f63d22f5172eebabd077e24726c3d230.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/5/51b4d488-cbf9-4fd5-92b9-bc82767e9fd2.png?resizew=167)
您最近一年使用:0次
名校
2 . 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)
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2016-12-03更新
|
687次组卷
|
2卷引用:浙江省嘉兴市第一中学2017-2018学年高二上学期期末考试数学试题
3 . 如图,PA⊥圆O所在的平面,AB是圆O的直径,C是圆O上的一点,E、F分别是点A在PB、PC上的射影,给出下列结论:
![](https://img.xkw.com/dksih/QBM/2015/10/10/1572254762270720/1572254768275456/STEM/34dcf127-e1ed-49d2-82b5-92ab64e3c3ee.png?resizew=201)
①AF⊥PB;②EF⊥PB;③AF⊥BC;④AE⊥平面PBC;⑤
.其中正确命题的序号是______ .
![](https://img.xkw.com/dksih/QBM/2015/10/10/1572254762270720/1572254768275456/STEM/34dcf127-e1ed-49d2-82b5-92ab64e3c3ee.png?resizew=201)
①AF⊥PB;②EF⊥PB;③AF⊥BC;④AE⊥平面PBC;⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87b2b968085972da3b5353de96cb44f.png)
您最近一年使用:0次
2016-12-03更新
|
1029次组卷
|
2卷引用:安徽省滁州市定远县育才学校2020-2021学年高二上学期第一次月考数学(理)试题
4 . 已知平面
和直线,给出条件:
①
;②
;③
;
④
;⑤
.
(i)当满足条件__________ 时,有
;
(ii)当满足条件__________ 时,有
.(填所选条件的序号)
![](https://img.xkw.com/dksih/QBM/2012/3/15/1570803955482624/1570803960553472/STEM/b1296a1544f04c889f2c789deecd9670.png?resizew=32)
①
![](https://img.xkw.com/dksih/QBM/2012/3/15/1570803955482624/1570803960553472/STEM/ed561fc1bdd548b89dbb191ae93bee0e.png?resizew=41)
![](https://img.xkw.com/dksih/QBM/2012/3/15/1570803955482624/1570803960553472/STEM/6e42a27a7f074ace87564ca01f18909d.png?resizew=45)
![](https://img.xkw.com/dksih/QBM/2012/3/15/1570803955482624/1570803960553472/STEM/171b4deaefe94058b9c4453c7894c99d.png?resizew=47)
④
![](https://img.xkw.com/dksih/QBM/2012/3/15/1570803955482624/1570803960553472/STEM/5182a1332309460a9e5d092cc0a5411d.png?resizew=45)
![](https://img.xkw.com/dksih/QBM/2012/3/15/1570803955482624/1570803960553472/STEM/142e597ea6df457e9e716a5cca9d350c.png?resizew=41)
(i)当满足条件
![](https://img.xkw.com/dksih/QBM/2012/3/15/1570803955482624/1570803960553472/STEM/e73db2ac9cea4649b25be4c2a7d9b8a8.png?resizew=43)
(ii)当满足条件
![](https://img.xkw.com/dksih/QBM/2012/3/15/1570803955482624/1570803960553472/STEM/e3e2f922959e42ab810c6c37ac7c2f7c.png?resizew=47)
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14-15高二上·广东汕头·期末
解题方法
5 . 如图所示,在三棱锥
中,
平面
,
,则
与平面
所成角的正弦值为__________ .
![](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/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848cf874a774dd57769d0d06484ee939.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/7/92636fda-153c-45c2-9d14-3050469bf388.png?resizew=141)
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2014高三·全国·专题练习
解题方法
6 . 如图所示,在正四棱柱ABCD-A1B1C1D1中,E,F,G,H分别是CC1,C1D1,D1D,DC的中点,N是BC的中点,点M在四边形EFGH上或其内部运动,且使MN⊥AC.
![](https://img.xkw.com/dksih/QBM/2014/3/27/1571581743513600/1571581748961280/STEM/75ec8c39-5a20-40f3-92aa-af6584e18e3d.png)
对于下列命题:①点M可以与点H重合;②点M可以与点F重合;③点M可以在线段FH上;④点M可以与点E重合.其中真命题的序号是________ (把真命题的序号都填上).
![](https://img.xkw.com/dksih/QBM/2014/3/27/1571581743513600/1571581748961280/STEM/75ec8c39-5a20-40f3-92aa-af6584e18e3d.png)
对于下列命题:①点M可以与点H重合;②点M可以与点F重合;③点M可以在线段FH上;④点M可以与点E重合.其中真命题的序号是
您最近一年使用:0次
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
11-12高二·甘肃兰州·期末
9 . 以下命题:
①在平面内的一条直线,如果和这个平面的一条斜线的射影垂直,那么它和这条斜线垂直;
②已知平面
的法向量分别为
,则
;
③两条异面直线所成的角为
,则
;
④直线与平面所成的角为
,则
.
其中正确的命题是_____________________ (填上所有正确命题的序号).
①在平面内的一条直线,如果和这个平面的一条斜线的射影垂直,那么它和这条斜线垂直;
②已知平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436f09f5dbfe95803d8f123893a33f7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9512a65aa2dd4d2f83d969d3403c3c6e.png)
③两条异面直线所成的角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3712ce4cde0a2c2f4a3d50ff2caca730.png)
④直线与平面所成的角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27ed74dbeba7d418a559f9c97c1df414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b48c2bd07186927b1524dd44039bfb4.png)
其中正确的命题是
您最近一年使用:0次
10 . 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
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