1 . 在正方体ABCD﹣A1B1C1D1的各面的12条对角线中,与正方体的对角线A1C垂直的共有_____ 条.
您最近一年使用:0次
2016-12-04更新
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297次组卷
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2卷引用:2015-2016学年安徽省阜阳市太和县二职高一上学期期末数学试卷
名校
2 . 已知四棱锥
的底面
是平行四边形,
与
是等腰三角形,
平面
,
,
,
,点
是线段
上靠近点
的一个三等分点,点
,
分别在线段
,
上.
![](https://img.xkw.com/dksih/QBM/2017/5/16/1688409124438016/1689168287866880/STEM/1df3bef034cd47af85dc67f5c353df9a.png?resizew=215)
(1)证明:
;
(2)若三棱锥
的体积为
,求
的值.
![](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/53502463cc76201000e02df314e58769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/0b80ee363635d73f601654339028daec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9c3ec174b1ce835cc8737ff6ce57e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70db2693129e27367797e47645e00158.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/2017/5/16/1688409124438016/1689168287866880/STEM/1df3bef034cd47af85dc67f5c353df9a.png?resizew=215)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/999e00d5721554215fb7936e9743605f.png)
(2)若三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/199098479c92e87304b91871172d46e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6486784415f3537c9a13556c05d893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c096a4d7fd1cafa95f2a270843b3bd5c.png)
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2017-05-17更新
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445次组卷
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5卷引用:黄金30题系列 高三年级数学(文) 大题好拿分【提升版】
(已下线)黄金30题系列 高三年级数学(文) 大题好拿分【提升版】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)试题江西省2017届高三调研考试(五)数学(文)试题江西省宜春市2017届高三下学期第五次调研考试数学(文)试题宁夏育才中学2018届高三第四次月考数学(文)试题
3 . 如图是正方体的平面展开图.在这个正方体中,
![](https://img.xkw.com/dksih/QBM/2016/5/20/1572643813212160/1572643818569728/STEM/93c5daab1c2d4a1296891ca0904d1681.png)
①BM与ED是异面直线;
②CN与BE平行;
③CN与BM成60°角;
④DM与BN垂直.
以上四个命题中,正确命题的序号是
![](https://img.xkw.com/dksih/QBM/2016/5/20/1572643813212160/1572643818569728/STEM/93c5daab1c2d4a1296891ca0904d1681.png)
①BM与ED是异面直线;
②CN与BE平行;
③CN与BM成60°角;
④DM与BN垂直.
以上四个命题中,正确命题的序号是
A.①②③④ | B.②④ | C.②③④ | D.②③ |
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2014高三·全国·专题练习
名校
4 . 如图所示是一几何体的直观图、正(主)视图、侧(左)视图、俯视图.
![](https://img.xkw.com/dksih/QBM/2014/3/17/1571566044536832/1571566049959936/STEM/275212352b2c44eb96cdc3f8976f87ca.png)
(1)若F为PD的中点,求证:AF⊥面PCD;
(2)求几何体BEC-APD的体积.
![](https://img.xkw.com/dksih/QBM/2014/3/17/1571566044536832/1571566049959936/STEM/275212352b2c44eb96cdc3f8976f87ca.png)
(1)若F为PD的中点,求证:AF⊥面PCD;
(2)求几何体BEC-APD的体积.
您最近一年使用:0次
5 . 如图所示,已知AB是平面
的一条垂线,AC是平面
的一条斜线,
,
.求证:
.
![](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/b15474a191906ceb9dfca63981de477d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3777318aa3fbdee09cfeeea971e8fcf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95e692badf11ca5ac25104a166f4467.png)
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2020-01-31更新
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30次组卷
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2卷引用:人教B版(2019) 必修第四册 逆袭之路 第十一章 立体几何初步 11.4.1 直线与平面垂直
6 . 如图,已知AB⊥平面ACD,DE⊥平面ACD,△ACD为等边三角形,AD=DE=2AB,F为CD的中点.
![](https://img.xkw.com/dksih/QBM/2015/2/5/1571982470914048/1571982476787712/STEM/35b3b86c504c464e8fafa02869afed03.png)
(1)求证:平面BCE⊥平面CDE;
(2)求二面角B-EF-D的余弦值.
![](https://img.xkw.com/dksih/QBM/2015/2/5/1571982470914048/1571982476787712/STEM/35b3b86c504c464e8fafa02869afed03.png)
(1)求证:平面BCE⊥平面CDE;
(2)求二面角B-EF-D的余弦值.
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7 . 设
是两条不同的直线,
是两个不同的平面,下列命题中正确的是
![](https://img.xkw.com/dksih/QBM/2016/12/17/1619429694144512/1619429694275584/STEM/bab4cfb451f74dccaaec67d29948752e.png)
![](https://img.xkw.com/dksih/QBM/2016/12/17/1619429694144512/1619429694275584/STEM/8808042c97ff451d81e0f5acd3128bc1.png)
A.若![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
2016-12-02更新
|
953次组卷
|
4卷引用:2014届四川眉山市高三上学期一诊测文科数学试卷
(已下线)2014届四川眉山市高三上学期一诊测文科数学试卷(已下线)2014高考名师推荐数学理科空间几何体的三视图与空间直观图2016-2017学年安徽东至二中高二文上段测数学试卷2017届湖北省部分重点中学届高三理联考一数学试卷
8 . 下列说法中不正确的个数是
①过空间任意一点有且仅有一个平面与已知平面垂直;
②过空间任意一条直线有且仅有一个平面与已知平面垂直;
③过空间任意一点有且仅有一个平面与已知的两条异面直线平行;
④过空间任意一点有且仅有一条直线与已知平面垂直.
①过空间任意一点有且仅有一个平面与已知平面垂直;
②过空间任意一条直线有且仅有一个平面与已知平面垂直;
③过空间任意一点有且仅有一个平面与已知的两条异面直线平行;
④过空间任意一点有且仅有一条直线与已知平面垂直.
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2016-12-13更新
|
516次组卷
|
2卷引用:2017届福建闽侯县二中高三上期中数学(文)试卷
9 . 在四棱锥
中,
平面
,
,底面
是梯形,
,
,
.
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572445540835328/1572445547184128/STEM/f386d9d9173444119d412095f040db23.png)
(1)求证:平面
平面
;
(2)设
为棱
上一点,
,试确定
的值使得二面角
为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6153163fecdf3f410411048428ccaef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/398f834aceea15b09c942b05343ec8da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66eb0c9607929b0b80636f99da84e04c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d31600cba2d5256c7e78b6122d6755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16114c73382b18f060150f2ab1f1484d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833cfda415649b832cc136caed392753.png)
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572445540835328/1572445547184128/STEM/f386d9d9173444119d412095f040db23.png)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6975ec118f40dc2feb16fb2dcde3285c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081d508f288f19d63217c1e13a86cf38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5fffd330dd6b9241659d790bd2a7fb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e8ebc860c0a88d36c6834c63e33ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b11d0840c5718c42ce3fe43fa00a4755.png)
您最近一年使用:0次
2016-12-04更新
|
492次组卷
|
2卷引用:江西省南昌三中2017-2018学年度上学期第二次考试高三数学(理)试卷
10 . 如图,已知直三棱柱
的侧面
是正方形,点
是侧面
的中心,
,
是棱
的中点.
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572472770240512/1572472776351744/STEM/67fc9a998f6e48edb31552b24930574f.png)
(1)求证:
平面
;
(2)求证:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f47d6a88e962cd790d2f159c021ec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e612b79595292d25bcb611f2cd592044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572472770240512/1572472776351744/STEM/67fc9a998f6e48edb31552b24930574f.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280247d7df395bb9ea78c51e67b458d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73fcf70859f620a7492e1351327725c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afac7c616bbb14e1ed428a3c507c7dc.png)
您最近一年使用:0次
2016-12-04更新
|
505次组卷
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3卷引用:2016届江苏省南京市、盐城市高三第一次模拟考试数学试卷