1 . 如图,ABCD是块矩形硬纸板,其中AB=2AD,AD=
,E为DC的中点,将它沿AE折成直二面角D-AE-B.
![](https://img.xkw.com/dksih/QBM/2016/3/22/1572553729376256/1572553735413760/STEM/45313a1eefc1407badfc7615c651e5ae.png)
(1)求证:AD⊥平面BDE;
(2)求二面角B-AD-E的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://img.xkw.com/dksih/QBM/2016/3/22/1572553729376256/1572553735413760/STEM/45313a1eefc1407badfc7615c651e5ae.png)
(1)求证:AD⊥平面BDE;
(2)求二面角B-AD-E的余弦值.
您最近一年使用:0次
2016-12-04更新
|
498次组卷
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2卷引用:2016-2017学年广东省仲元中学高二上学期期末考试数学(理)试卷
2 . 如图,在直三棱柱ABC-A1B1C1中,
,点E、F、G分别是AA1、AC、BB1的中点,且CG⊥C1G.
![](https://img.xkw.com/dksih/QBM/2016/2/26/1572500601774080/1572500607582208/STEM/3a36b77999f041fc8e6a3f7688599870.png)
(1)求证:CG//面BEF;
(2)求证:面BEF⊥面A1C1G.
![](https://img.xkw.com/dksih/QBM/2016/2/26/1572500601774080/1572500607582208/STEM/0317b8fb26364973a26b6eb5ccab664e.png)
![](https://img.xkw.com/dksih/QBM/2016/2/26/1572500601774080/1572500607582208/STEM/3a36b77999f041fc8e6a3f7688599870.png)
(1)求证:CG//面BEF;
(2)求证:面BEF⊥面A1C1G.
您最近一年使用:0次
3 . 如图,⊙O在平面
内,AB是⊙O的直径,
平面
,C为圆周上不同于A、B的任意一点,M,N,Q分别是PA,PC,PB的中点.
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572033030545408/1572033036361728/STEM/f9c3632de4f94051977d625dc64d8e16.png)
(1)求证:
平面
;
(2)求证:平面
平面
;
(3)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d1a34ae2b8c77f8d7e355c6d1d667e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/551e4cd76a93de89ea2750160fe74923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d1a34ae2b8c77f8d7e355c6d1d667e.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572033030545408/1572033036361728/STEM/f9c3632de4f94051977d625dc64d8e16.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d1a34ae2b8c77f8d7e355c6d1d667e.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8febfad1a7c86072a29336f18106946e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d1a34ae2b8c77f8d7e355c6d1d667e.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc3719c11b0b0ae54d43d6f45fe7b1f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
您最近一年使用:0次
2016-12-03更新
|
6137次组卷
|
3卷引用:2014-2015学年广东省肇庆市高二上学期期末考试文科数学试卷
2014-2015学年广东省肇庆市高二上学期期末考试文科数学试卷【全国百强校】西藏拉萨中学2018-2019学年上学期高二第二次月考数学试题(已下线)江西省南昌市进贤二中2019-2020学年高二下学期数学期中考试数学试题
11-12高二·广东·阶段练习
名校
解题方法
4 . 如图所示,在棱长为2的正方体
中,
、
分别为
、
的中点.
(Ⅰ)求证:
//平面
;
(Ⅱ)求证:
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679748eab882a6be0fefd2cc300349a4.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d435974639ea2850bb5c21efe64b123b.png)
![](https://img.xkw.com/dksih/QBM/2012/2/17/1570744981004288/1570744986304512/STEM/d5f71ea2-bc73-4b2c-b2c8-9b82da5fd984.png?resizew=170)
您最近一年使用:0次
5 . 如图,在三棱柱ABC﹣A1B1C1中,∠BAC=90°,AB=AC=2,AA1=4,A1在底面ABC的射影为BC的中点E,D是B1C1的中点.
![](https://img.xkw.com/dksih/QBM/2016/3/11/1572532911251456/1572532917149696/STEM/e6e568d68d4442409511d2ff8abede5d.png)
(1)证明:A1D⊥平面A1BC;
(2)求点B到平面A1ACC1的距离.
![](https://img.xkw.com/dksih/QBM/2016/3/11/1572532911251456/1572532917149696/STEM/e6e568d68d4442409511d2ff8abede5d.png)
(1)证明:A1D⊥平面A1BC;
(2)求点B到平面A1ACC1的距离.
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6 . 如图,三角形
是边长为4的正三角形,
底面
,
,点
是
的中点,点
在
上,且
.
![](https://img.xkw.com/dksih/QBM/2015/7/10/1572178491924480/1572178497839104/STEM/ffe287c408e04d25895a9ac9b7693649.png)
(1)证明:平面
平面
;
(2)求直线
和平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/551e4cd76a93de89ea2750160fe74923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4014edd5ca7ddd954507ab87eb2638e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535a65c61f47d2b893706d4bc3499e20.png)
![](https://img.xkw.com/dksih/QBM/2015/7/10/1572178491924480/1572178497839104/STEM/ffe287c408e04d25895a9ac9b7693649.png)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d85c98d07c0abe66dc7a529f0dcb14f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37793a3a810e823e10c340986f55ddd.png)
您最近一年使用:0次
12-13高二上·广东梅州·期末
7 . 如图正方体ABCD-
中,E、F、G分别是
、AB、BC的中点.
(1)证明:
⊥平面AEG;
(2)求
,![](https://img.xkw.com/dksih/QBM/2012/2/15/1570739834798080/1570739840245760/STEM/361ecb64299d4e038ee9985b012b7140.png?resizew=45)
![](https://img.xkw.com/dksih/QBM/2012/2/15/1570739834798080/1570739840245760/STEM/289a500d10474c9cb90e1f9405415070.png?resizew=62)
![](https://img.xkw.com/dksih/QBM/2012/2/15/1570739834798080/1570739840245760/STEM/dda4d0cee1974a3998bece70cd3586a1.png?resizew=29)
(1)证明:
![](https://img.xkw.com/dksih/QBM/2012/2/15/1570739834798080/1570739840245760/STEM/0ff6e007c8664ee097974085ee16481e.png?resizew=32)
(2)求
![](https://img.xkw.com/dksih/QBM/2012/2/15/1570739834798080/1570739840245760/STEM/1b65aa56036a434bb9100479b88dd19d.png?resizew=65)
![](https://img.xkw.com/dksih/QBM/2012/2/15/1570739834798080/1570739840245760/STEM/361ecb64299d4e038ee9985b012b7140.png?resizew=45)
![](https://img.xkw.com/dksih/QBM/2012/2/15/1570739834798080/1570739840245760/STEM/c44a38897617417690cee742c5d653c5.png?resizew=124)
您最近一年使用:0次
8 . 如图所示,在长方体ABCD﹣A1B1C1D1中,BC=2AB=4,
,E是A1D1的中点.
![](https://img.xkw.com/dksih/QBM/2016/8/17/1572981576130560/1572981581651968/STEM/7b90cd6e-b4db-430b-9c5e-7f2b760f3d10.png)
(Ⅰ)在平面A1B1C1D1内,请作出过点E与CE垂直的直线l,并证明l⊥CE;
(Ⅱ)设(Ⅰ)中所作直线l与CE确定的平面为α,求点C1到平面α的距离.
![](https://img.xkw.com/dksih/QBM/2016/8/17/1572981576130560/1572981581651968/STEM/88393b58260c4ae9a3db11dabca11181.png)
![](https://img.xkw.com/dksih/QBM/2016/8/17/1572981576130560/1572981581651968/STEM/7b90cd6e-b4db-430b-9c5e-7f2b760f3d10.png)
(Ⅰ)在平面A1B1C1D1内,请作出过点E与CE垂直的直线l,并证明l⊥CE;
(Ⅱ)设(Ⅰ)中所作直线l与CE确定的平面为α,求点C1到平面α的距离.
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9 . 如图,长方体
中,
,
,点E是线段AB中点.
证明:
;
求二面角
的大小的余弦值;
求A点到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd694ad3a4733c7c84aaa7946aeea4de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95db5d71f0d7cdb83e2b6bb25cea42b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7fa3aea72ccc36948a4a90f7368f71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62191bcb4f06ed7667c470207a91cf8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dbeb4e8eeb288b3cabb5c30b6af473b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4bb89a362c1faf4d0c306eabbb59710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/557b79c2a9bc8321629c1d1c8bcf74c2.png)
![](https://img.xkw.com/dksih/QBM/2019/1/17/2120854487957504/2123462368133120/STEM/d75b15a0cba84c2b984465ee7f16dbb7.png?resizew=199)
您最近一年使用:0次
2016-12-03更新
|
987次组卷
|
2卷引用:2014-2015学年广东省揭阳市三中高二下学期第一次段考理科数学试卷
2012·浙江台州·二模
名校
10 . 如图,AC是圆O的直径,点B在圆O上,∠BAC=30°,BM⊥AC交AC于点M,EA⊥平面ABC,FC//EA,AC=4,EA=3,FC=1.
(1)证明:EM⊥BF;
(2)求平面BEF与平面ABC所成的二面角的余弦值.
(1)证明:EM⊥BF;
(2)求平面BEF与平面ABC所成的二面角的余弦值.
![](https://img.xkw.com/dksih/QBM/2012/7/30/1570943890194432/1570943895568384/STEM/5e458b96-13c1-4413-af71-836dc330dd33.png?resizew=146)
您最近一年使用:0次
2016-12-01更新
|
1376次组卷
|
9卷引用:广东省广州市第二中学高二上学期数学人教A版选修2-1模块测试试卷
广东省广州市第二中学高二上学期数学人教A版选修2-1模块测试试卷(已下线)2012届浙江省台州中学高三下学期第二次统练文科数学(已下线)2012届浙江省宁波市五校高三适应性考试理科数学试卷(已下线)2012届浙江省东阳中学高三5月模拟考试理科数学试卷(已下线)2014届浙江省绍兴市第一中学高三上学期回头考试理科数学试卷2016届海南省文昌中学高三上学期期末考试理科数学试卷2017届陕西师范大学附属中学高三上学期第二次模考数学(理)试卷陕西省西安市长安区第一中学2017届高三4月模拟考试数学(理)试题2018届高三数学训练题:阶段滚动检测试题(六)