1 . 在正三棱锥
中,
、
分别为棱
、
的中点,且
.
![](https://img.xkw.com/dksih/QBM/2015/9/11/1572229475041280/1572229480955904/STEM/2ba52750b4c54f94a53a9e5ead3d1cd2.png)
(1)求证:直线
平面
;
(2)求证:平面
平面
.
![](https://img.xkw.com/dksih/QBM/2015/9/11/1572229475041280/1572229480955904/STEM/06a1a2bd819a44c982a525ad6cde88df.png)
![](https://img.xkw.com/dksih/QBM/2015/9/11/1572229475041280/1572229480955904/STEM/31e6e0f27e9e48be86cebe33864a9223.png)
![](https://img.xkw.com/dksih/QBM/2015/9/11/1572229475041280/1572229480955904/STEM/41469a49c14b4de586c547ff8df8bc98.png)
![](https://img.xkw.com/dksih/QBM/2015/9/11/1572229475041280/1572229480955904/STEM/940335b942964da888138fc6690f4f5a.png)
![](https://img.xkw.com/dksih/QBM/2015/9/11/1572229475041280/1572229480955904/STEM/960ff362f8da4645bd3dcf59ad26abee.png)
![](https://img.xkw.com/dksih/QBM/2015/9/11/1572229475041280/1572229480955904/STEM/b106e917b59340c384ebd38015c24826.png)
![](https://img.xkw.com/dksih/QBM/2015/9/11/1572229475041280/1572229480955904/STEM/2ba52750b4c54f94a53a9e5ead3d1cd2.png)
(1)求证:直线
![](https://img.xkw.com/dksih/QBM/2015/9/11/1572229475041280/1572229480955904/STEM/f38c6affd7034c46b6e7384380ce8c91.png)
![](https://img.xkw.com/dksih/QBM/2015/9/11/1572229475041280/1572229480955904/STEM/34c371fb18144b0ba07dda89b61665c3.png)
(2)求证:平面
![](https://img.xkw.com/dksih/QBM/2015/9/11/1572229475041280/1572229480955904/STEM/0721aeca5f464bd3ac7c553fde9eb777.png)
![](https://img.xkw.com/dksih/QBM/2015/9/11/1572229475041280/1572229480955904/STEM/f29f0ced562b4449b8ecd08a228540fe.png)
您最近一年使用:0次
2 . 如图,空间四边形ABCD中,
,
,
分别是AB,BC,CD的中点,求证:
![](https://img.xkw.com/dksih/QBM/2015/8/14/1572214065676288/1572214071500800/STEM/d9a0ed54d4b04d87aad1b69eabcc3966.png)
(1)AC∥平面
;
(2)BD∥平面
.
![](https://img.xkw.com/dksih/QBM/2015/8/14/1572214065676288/1572214071500800/STEM/626a80080fec4f7cb6214724161f3531.png)
![](https://img.xkw.com/dksih/QBM/2015/8/14/1572214065676288/1572214071500800/STEM/a91ad33ea4aa428f8ceb12305cd207ca.png)
![](https://img.xkw.com/dksih/QBM/2015/8/14/1572214065676288/1572214071500800/STEM/59a2cb39baa64285a2fe43bbc21a8608.png)
![](https://img.xkw.com/dksih/QBM/2015/8/14/1572214065676288/1572214071500800/STEM/d9a0ed54d4b04d87aad1b69eabcc3966.png)
(1)AC∥平面
![](https://img.xkw.com/dksih/QBM/2015/8/14/1572214065676288/1572214071500800/STEM/0afbdbf470f24626b0f8c80a7021e4b1.png)
(2)BD∥平面
![](https://img.xkw.com/dksih/QBM/2015/8/14/1572214065676288/1572214071500800/STEM/0afbdbf470f24626b0f8c80a7021e4b1.png)
您最近一年使用:0次
3 . 已知平行四边形
,
,
,
,
为
的中点,把三角形
沿
折起至
位置,使得
,
是线段
的中点.
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572037567160320/1572037572517888/STEM/cdb7ec85fe5c4e65804133d4ebbc3ceb.png)
(1)求证:
;
(2)求证:面
面
;
(3)求二面角
的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e1d24e6954a9736aa6ed412fa43bdf.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/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657dffbd3623b705f871878fbd9df57e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502fc5e3c7f636aac9064ec69018c95c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572037567160320/1572037572517888/STEM/cdb7ec85fe5c4e65804133d4ebbc3ceb.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a3ab1af4b3c939b0b1f819e831e32e0.png)
(2)求证:面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83716c0f110a635037adbffc7bbbb183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/483f030abf61c6a0882d656d63cf4512.png)
(3)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/516dfcfba39af76a6fffa94ac307f581.png)
您最近一年使用:0次
4 . 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
5 . 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
6 . 如图(1),
是直径
的圆上一点,
为圆
的切线,
为切点,
为等边三角形,连接
交
于
,以
为折痕将
翻折到图(2)所示
的位置,点
为平面
外的点.
![](https://img.xkw.com/dksih/QBM/2011/5/23/1570217778290688/1570217783820288/STEM/857ee6a3118946339da7ae8739e29be4.png?resizew=330)
(1)求证:异面直线
和
互相垂直;
(2)若
为
上一点,且
,
,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f8f01137e92c0f2e63467036ae9cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b63d2504bd3ecce8c10560b142356f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.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/d9f8f01137e92c0f2e63467036ae9cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b280088a8f97b52c2145bc709434e7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://img.xkw.com/dksih/QBM/2011/5/23/1570217778290688/1570217783820288/STEM/857ee6a3118946339da7ae8739e29be4.png?resizew=330)
(1)求证:异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8459bfe1dd87957f217ffcd0d10f6f92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e89e99ab9c1ece0cc5c3bbabaa97de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3fc56bf641c7b18a562dc6c1c8290bc.png)
您最近一年使用:0次
7 . 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.
您最近一年使用:0次
8 . 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
9 . 如图,三角形△PDC所在的平面与长方形ABCD所在的平面垂直,PD=PC=4,AB=6,BC=3,点E是CD的中点,点F、G分别在线段AB、BC上,且AF=2FB,CG=2GB.
(1)证明:PE⊥FG;
(2)求二面角P﹣AD﹣C的正切值;
(3)求直线PA与直线FG所成角的余弦值.
您最近一年使用:0次
2016-12-03更新
|
4745次组卷
|
4卷引用:2015年全国普通高等学校招生统一考试理科数学(广东卷)
2015年全国普通高等学校招生统一考试理科数学(广东卷)四川省宜宾县第二中学校2017-2018学年高一下学期期末模拟数学试题(已下线)专题23 立体几何解答题(理科)-1专题30立体几何与空间向量解答题(第一部分)