12-13高三·江西景德镇·阶段练习
1 . 如图,平面
平面
,
是等腰直角三角形,
,四边形
是直角梯形,
,
,
,
,
分别为
,
的中点.
(I)求证:
平面
.
(II)求直线
和平面
所成角的正弦值.
(III)能否在
上找一点
,使得
平面
?若能,请指出点
的位置,并加以证明;若不能,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31effd1d3f7ce1f6e57be80c7f3af4ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08313da7b66283d2e0b3987f3e6761f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3a079cfdcca9acdacecbf08f9f78cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd190c4ce3e95d46416c7e635b5a8e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a22940cd2a129350c952ad7dc6db924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/514ab3791431088948816c4ba7514c58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(I)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d468887a6e318a953b9dcc93231db407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(II)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1220cf7442bc7658dbd74a845a62dfce.png)
(III)能否在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b46c607b3deac746c0ef3389ad8f65c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/038b331d32c87fbd86c3accec0841fc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3a079cfdcca9acdacecbf08f9f78cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://img.xkw.com/dksih/QBM/2017/11/3/1809205128200192/1809771536965632/STEM/d1a673bf4913488d8148dd5a7282210c.png?resizew=173)
您最近一年使用:0次
2 . 如图,在三棱柱ABC-A1B1C1中,AA1C1C是边长为4的正方形.平面ABC⊥平面AA1C1C,AB=3,BC=5.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/13/4ca3cfb7-fea0-4c1f-b33e-a301806e022c.png?resizew=140)
(Ⅰ)求证:AA1⊥平面ABC;
(Ⅱ)求二面角A1-BC1-B1的余弦值;
(Ⅲ)证明:在线段BC1存在点D,使得AD⊥A1B,并求
的值.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/13/4ca3cfb7-fea0-4c1f-b33e-a301806e022c.png?resizew=140)
(Ⅰ)求证:AA1⊥平面ABC;
(Ⅱ)求二面角A1-BC1-B1的余弦值;
(Ⅲ)证明:在线段BC1存在点D,使得AD⊥A1B,并求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c04c68f1ef1e37534b5bbc7a1f592ef7.png)
您最近一年使用:0次
2016-12-02更新
|
4628次组卷
|
30卷引用:2013年全国普通高等学校招生统一考试理科数学(北京卷)
2013年全国普通高等学校招生统一考试理科数学(北京卷)(已下线)2014届上海交大附中高三数学理总复习二空间向量与立体几何练习卷2016-2017学年湖北省重点高中联考协作体高二下学期期中考试数学(理)试卷湖北省宜昌市葛洲坝中学2018届高三9月月考数学(理)试题【全国百强校】江苏省泰州中学2017-2018学年高二6月月考数学(理)试题【全国百强校】宁夏银川一中2019届高三第四次月考数学(理)试题专题11.8 空间向量与立体几何(练)-江苏版《2020年高考一轮复习讲练测》湖南省长沙市长郡中学2017-2018学年高二下学期入学考试数学(理)试题人教A版(2019) 选择性必修第一册 过关斩将 第一章 空间向量与立体几何 专题强化练3 立体几何中的存在性与探究性问题福建省连城县第一中学2020-2021学年高二上学期第一次月考数学试题江西省景德镇一中2020-2021学年高二(2班)上学期期中考试数学试题(已下线)第一章 空间向量与立体几何单元检测(知识达标卷)-【一堂好课】2021-2022学年高二数学上学期同步精品课堂(人教A版2019选择性必修第一册)河北省涞水波峰中学2020-2021学年高二上学期期末数学试题(已下线)专题03 空间向量与立体几何-立体几何中的存在性与探究性问题-2021-2022学年高二数学同步练习和分类专题教案(人教A版2019选择性必修第一册)(已下线)专练9 专题强化练3-立体几何中的存在性与探究性问题-2021-2022学年高二数学上册同步课后专练(人版A版选择性必修第一册)(已下线)期中考试重难点专题强化训练(1)——向量的综合运用-2021-2022学年高二数学单元卷模拟(易中难)(2019人教A版选择性必修第一册+第二册)海南热带海洋学院附属中学2021届高三11月第二次月考数学试题江西省靖安中学2021-2022学年高二上学期第一次月考数学(理)试题苏教版(2019) 选修第二册 名师精选 第六章 空间向量与立体几何云南省弥勒市第一中学2021-2022学年高二上学期第三次月考数学试题安徽省合肥市第八中学2021-2022学年高二下学期平行班开学考理科数学试题河南省濮阳市范县第一中学2021-2022学年高二上学期第二次月考检测数学试题河南省鹤壁市浚县浚县第一中学2021-2022学年高一下学期7月月考数学试题2023版 北师大版(2019) 选修第一册 名师精选卷 第三章 空间向量与立体几何北京市丰台区第十二中学2021-2022学年高二上学期期中数学试题重庆市忠县乌杨中学校2021-2022学年高二上学期期中数学试题云南省曲靖市罗平县第二中学2021-2022学年高二上学期第二次月考数学试题福建省福州市福州中加学校2023-2024学年高二上学期期中数学试题(已下线)第五章 破解立体几何开放探究问题 专题一 立体几何存在性问题 微点1 立体几何存在性问题的解法(一)【基础版】(已下线)【一题多解】存在与否 向量探索
11-12高二下·北京·期中
3 . 如图,三棱柱
中,
⊥平面
,
,
,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572239377891328/1572239383977984/STEM/477065a330894238adb68aa9ea750e5a.png?resizew=192)
(Ⅰ)求证:
平面
;
(Ⅱ)求二面角
的余弦值;
(Ⅲ)在侧棱
上是否存在点
,使得
平面
?请证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d900531973c546625694146fa1509ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/283c8668ca30b171ee4352452e1c7e94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d927585a17c2e98ef7d5a9589a26ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572239377891328/1572239383977984/STEM/477065a330894238adb68aa9ea750e5a.png?resizew=192)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1496afecd92a619fbe5e9b736f06f4e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf9628142422a4884bd59538da6d312.png)
(Ⅱ)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd190b5a26dfb45a06c1d6ee86dd82d9.png)
(Ⅲ)在侧棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e245440d3761fb4217eaa8dc303fa288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf9628142422a4884bd59538da6d312.png)
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2012·河南·一模
解题方法
4 . 四棱锥P—ABCD中,底面ABCD是矩形,PA
底面ABCD,PA=" AB" =1,AD =2,点M是PB的中点,点N在BC边上移动.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/13/6c03d344-6a12-4db1-96c5-9d3d14b2c7b3.png?resizew=190)
(I)求证:当N是BC边的中点时,MN∥平面PAC;
(Ⅱ)证明,无论N点在BC边上何处,都有PN
AM;
(Ⅲ)当BN等于何值时,PA与平面PDN所成角的大小为45
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/13/6c03d344-6a12-4db1-96c5-9d3d14b2c7b3.png?resizew=190)
(I)求证:当N是BC边的中点时,MN∥平面PAC;
(Ⅱ)证明,无论N点在BC边上何处,都有PN
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
(Ⅲ)当BN等于何值时,PA与平面PDN所成角的大小为45
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83873a9d782f2588c5eedbfe73f9bc2f.png)
您最近一年使用:0次
2011·北京西城·二模
5 . 如图,已知菱形
的边长为
,
,
.将菱形
沿对角线
折起,使
,得到三棱锥
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/14/e16d49b7-88bf-4480-af0e-45ffb09e6a85.png?resizew=342)
(Ⅰ)若点
是棱
的中点,求证:
平面
;
(Ⅱ)求二面角
的余弦值;
(Ⅲ)设点
是线段
上一个动点,试确定
点的位置,使得
,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6906f59d09ce31956d6f5ea2b23fc77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a23f01af749100e1888bba06268843db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57abb19d63cad8f06c62f2ed75d70dce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41ffdaecfb3c73d403179e5745c71a8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/14/e16d49b7-88bf-4480-af0e-45ffb09e6a85.png?resizew=342)
(Ⅰ)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280247d7df395bb9ea78c51e67b458d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
(Ⅱ)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b661fc2f6213ff6dab5e0b10bee383c5.png)
(Ⅲ)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64d9ebeeefbd4bd27023709d01b5dc95.png)
您最近一年使用:0次
9-10高三·云南昆明·阶段练习
6 . 如图,四棱锥
的底面
是边长为2的菱形,
,
是
的中点,
底面
,
.
(1)证明:若
是棱
的中点,求证:
平面
;
(2)求平面
和平面
所成二面角(锐角)的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ec435aa1401dbce7863b531bf2f3e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab2c27eac56fffa4cd7dbe1dcdf1a.png)
(1)证明:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9d682e5d3cc8573574d8d11636758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64eb31601464364be2baf4aa87404bcd.png)
![](https://img.xkw.com/dksih/QBM/2010/11/15/1569900502810624/1569900508160000/STEM/cf5c0c19-16ed-4c54-9b1f-0ffc40555e71.png?resizew=138)
您最近一年使用:0次
解题方法
7 . 如图,已知AB⊥平面ACD,DE⊥平面ACD,
为等边三角形,
,F为CD的靠近C的四等分点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/12/19723d5e-3a0a-4cab-90c7-5c98716114fa.png?resizew=220)
(1)求证:AF∥平面BCE;
(2)请问:平面BCE与平面CDE是否互相垂直?请证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e80ffdaa7e672d194d86b5e4a7ddf931.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/12/19723d5e-3a0a-4cab-90c7-5c98716114fa.png?resizew=220)
(1)求证:AF∥平面BCE;
(2)请问:平面BCE与平面CDE是否互相垂直?请证明你的结论.
您最近一年使用:0次
10-11高二下·四川成都·阶段练习
解题方法
8 . (文科做)如图,在长方体
中,
,
,点
在棱
上移动.
(1)证明:
;
(2)当
为
的中点时,求点
到面
的距离;
(3)
等于何值时,二面角
的大小为
.
![](https://img.xkw.com/dksih/QBM/2011/4/2/1570103484932096/1570103490330624/STEM/aeecb2e6-ec12-440e-a5aa-2fe63a557155.png?resizew=203)
(理科做)如图,在直三棱柱
中,
,
,
,
,
为侧棱
上一点,
.
(1)求证:
平面
;
(2)求二面角
的大小;
(3)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7d64fc81c857b124268609a8beb77b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0fa81c1f81266b4ef3d471bc6bfc38d.png)
(2)当
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7977ab975efa6411cc17de39be70d9.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35988677892d6ffdf4773f7a861f26a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://img.xkw.com/dksih/QBM/2011/4/2/1570103484932096/1570103490330624/STEM/aeecb2e6-ec12-440e-a5aa-2fe63a557155.png?resizew=203)
(理科做)如图,在直三棱柱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed8f7d3d7043d4b1eb98fc5c4e2fcd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c279c8033acb94c3f91be2e05b0a6bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d313c04fff3842a635b334e356b07efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db57eca2a7cbd91bc57372592580a76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c7c9b452fba2c98370cd2cf692aceb.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0edb1508fc95765f3bb316bcb5252d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afac7c616bbb14e1ed428a3c507c7dc.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41a7841fca64062a1f2112de9e696921.png)
(3)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3653ada76ba0c8afe9d57c8e7832c6ed.png)
![](https://img.xkw.com/dksih/QBM/2011/4/2/1570103484932096/1570103490330624/STEM/50b20683-ada3-41ce-9f4a-df3902a384a0.png?resizew=145)
您最近一年使用:0次
解题方法
9 . 如图:已知四棱柱
的底面ABCD是菱形,
=
,且
.
表示
,并求
;
(2)求证:
;
(3)试判断直线
与平面
是否垂直,若垂直,给出证明;若不垂直,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d2b11373ab38e88e0389c575595adec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cf78256450d35903dcb0d71008e76f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7425e954dff22e28ee64901f05b3fc7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adb96420ac535f564aee04a049c1329f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/954b037f02fd77a8b5549df819dbabac.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bda52b48b75bf5409781554205c15d1.png)
(3)试判断直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73845d4d663b3de0b281611fe2c762fe.png)
您最近一年使用:0次
10 . 正△ABC的边长为2, CD是AB边上的高,E、F分别是AC和BC的中点(如图(1)).现将△ABC沿CD翻成直二面角A-DC-B(如图(2)).在图(2)中:
(1)求证:AB∥平面DEF;
(2)在线段BC上是否存在一点P,使AP⊥DE?证明你的结论;
(3)求二面角E-DF-C的余弦值.
您最近一年使用:0次
2016-12-04更新
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1122次组卷
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3卷引用:2015-2016学年陕西省城固县一中高二上学期期末考试理科数学试卷
2015-2016学年陕西省城固县一中高二上学期期末考试理科数学试卷2018届高考数学高考复习指导大二轮专题复习:专题五 立体几何 测试题5(已下线)专题06+立体几何-2021高考数学(理)高频考点、热点题型归类强化