1 . 如图,四面体
中,
分别是
的中点,![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040089600000/1869535616679936/STEM/aecf51cb0ff24a209667b5996be7d108.png?resizew=203)
![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040089600000/1869535616679936/STEM/4b57e338e4b342c3bd3a4d91ca7f730e.png?resizew=144)
(1)求证:
平面
;
(2)求直线
与平面
所成角的正弦值.
![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040089600000/1869535616679936/STEM/81bcf23aaf4d4ebfae24e5a584c60790.png?resizew=48)
![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040089600000/1869535616679936/STEM/08529a3567294ac298595b590fc3c41c.png?resizew=43)
![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040089600000/1869535616679936/STEM/2fd23893557e445eb99bd77b466b457a.png?resizew=64)
![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040089600000/1869535616679936/STEM/aecf51cb0ff24a209667b5996be7d108.png?resizew=203)
![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040089600000/1869535616679936/STEM/4b57e338e4b342c3bd3a4d91ca7f730e.png?resizew=144)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040089600000/1869535616679936/STEM/5f12ce66f7e6435eaf2902ad169ba390.png?resizew=39)
![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040089600000/1869535616679936/STEM/c601a74b56174290946561878a458afe.png?resizew=39)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
您最近一年使用:0次
2 . 如图,四面体
中,
分别是
的中点,![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040102723584/1868950830022656/STEM/940f3b1349f242c6b0920c61e21e6fc3.png?resizew=229)
![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040102723584/1868950830022656/STEM/34c436ee940b42629800cdc93f932137.png?resizew=144)
(1)求证:
平面
;
(2)求直线
与平面
所成角的正弦值.
![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040102723584/1868950830022656/STEM/d401d3bc90a54f369af75f4cd53d2112.png?resizew=48)
![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040102723584/1868950830022656/STEM/07eb632669dc4cde8faea1f75b4feb0e.png?resizew=43)
![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040102723584/1868950830022656/STEM/5689b0eef29e4ca7862381e4965e2702.png?resizew=64)
![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040102723584/1868950830022656/STEM/940f3b1349f242c6b0920c61e21e6fc3.png?resizew=229)
![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040102723584/1868950830022656/STEM/34c436ee940b42629800cdc93f932137.png?resizew=144)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040102723584/1868950830022656/STEM/97f07fe9481845a5b57023cb8d29c939.png?resizew=39)
![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040102723584/1868950830022656/STEM/1dccb4a118b743d29748a02c0db59637.png?resizew=39)
(2)求直线
![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040102723584/1868950830022656/STEM/222cecc00c924b1e8bd03c0f4bf04e1b.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2018/1/25/1868040102723584/1868950830022656/STEM/019d101daf1a46ad844e2dc1ec267b08.png?resizew=39)
您最近一年使用:0次
9-10高二下·四川眉山·期末
3 . 如图,正方形
的边长为
,
是
的中点,
是
上的点,将
及
分别沿
和
折起,使
、
重合于
,且二面角
为直二面角.
(1)求证:
;
(2)求
与面
所成的角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5a0be7cbc1bd1f70b078111ed2a3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57831b59ea828a088ed9daec8babb774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eee50e904fed4ad9c6292bec0b08a8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35391a4e1e64e30751e1fe8102044d1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e61af2ac959eee2f4fd476eff114cb4.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbb52f9b226b1db3f6f9f055948bd38.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/678b28fddb166d90878d24d6e5481080.png)
![](https://img.xkw.com/dksih/QBM/2010/7/7/1569782356746240/1569782361997312/STEM/7abf9d9e-7752-41f9-a378-dad0be30fb75.png?resizew=374)
您最近一年使用:0次
10-11高二下·广西桂林·期中
4 . 若正三棱柱
的棱长均相等,则
与侧面
所成角的正切值为___.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
您最近一年使用:0次
2016-11-30更新
|
1032次组卷
|
4卷引用:四川省泸县泸州市第四中学2019-2020学年高三上学期期末考试数学(文)试题
四川省泸县泸州市第四中学2019-2020学年高三上学期期末考试数学(文)试题四川省泸县泸州市第四中学2019-2020学年高三上学期期末考试数学(理)试题(已下线)2010-2011学年广西桂林十八中高二下学期期中考试试卷数学(理科)(已下线)2013-2014学年广西桂林十八中高二下学期开学考理科数学试卷
名校
5 . 如图,在棱长为1的正方体
中,给出以下结论:
①直线
与
所成的角为
;
②若M是线段
上的动点,则直线CM与平面
所成角的正弦值的取值范围是
;
③若
是线段
上的动点,且
,则四面体
的体积恒为
.
其中,正确结论的个数是
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572576527712256/1572576533471232/STEM/21d14bea-e183-489b-b659-48a509ee89a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
②若M是线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a935b7d21a103a264b6e96ecf82dbe4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71669e959664b86213d3db146051ee4b.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd8cb171425253834dfd7fa1a9da9ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9e3f3f09715fd737324ea48c3696485.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e5b2e443169c2a7d8f8688babfb239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0467b0675c3ecfb282cc88255284d3e1.png)
其中,正确结论的个数是
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572576527712256/1572576533471232/STEM/21d14bea-e183-489b-b659-48a509ee89a1.png)
A.0个 | B.1个 | C.2个 | D.3个 |
您最近一年使用:0次
2016-12-04更新
|
283次组卷
|
2卷引用:2015-2016学年四川省资阳市高二上学期期末质量检测理科数学试卷
名校
6 . 已知三棱锥
的所有顶点都在球
的球面上,
是边长为
的正三角形,
为球
的直径,且
,有以下四个命题
①直线
与平面
所成的角的正弦值为
;
②
;
③若点
为直径
上一点,且
,则
平面
;
④在球
内任取一点
,则
落在三棱锥
内的概率是
.
其中正确命题有_____ (填上所有正确命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/672ec1169bab663781450d42f39ffe6f.png)
①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174142f3bba761585b6bc2653009b36.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e131db4cdacd93d39c1cf70e162c1c6.png)
③若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3de889c9cb88b0810d0f88d8c010ebea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6deecf9ccb7b7879455050633219e09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
④在球
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74b1522f168f518528a8843091a4f5bc.png)
其中正确命题有
您最近一年使用:0次
2016-12-04更新
|
332次组卷
|
2卷引用:2015-2016学年四川省德阳市高二上学期期末理科数学试卷
7 . 已知
为正方体,
,
分别是
,
的中点.
![](https://img.xkw.com/dksih/QBM/2016/4/22/1572601430384640/1572601436479488/STEM/0886319f-67ec-4bf2-b289-9f61764afba8.png?resizew=206)
(1)求证:直线
平面
;
(2)求直线
与平面
所成角的余弦值.
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://img.xkw.com/dksih/QBM/2016/4/22/1572601430384640/1572601436479488/STEM/0886319f-67ec-4bf2-b289-9f61764afba8.png?resizew=206)
(1)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
您最近一年使用:0次
2016-12-04更新
|
541次组卷
|
2卷引用:2015-2016学年四川省遂宁市高二上学期期末考试理科数学试卷
12-13高二上·四川资阳·期末
8 . 如图,在三棱柱
中,△ABC为等边三角形,侧棱
⊥平面
,
,D、E分别为
、
的中点.
(1)求证:DE⊥平面
;
(2)求BC与平面
所成角;
(3)求三棱锥
的体积.
![](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/c1dad0dcfcec274b586f576349d524f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
(1)求证:DE⊥平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
(2)求BC与平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a935b7d21a103a264b6e96ecf82dbe4a.png)
(3)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53997d627b71f60a18b770e44bb21515.png)
![](https://img.xkw.com/dksih/QBM/2012/2/7/1570719944933376/1570719950422016/STEM/e42486c7181f4730be45859d5d085b17.png?resizew=122)
您最近一年使用:0次
名校
9 . 如图,
为一个平行六面体,且
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1c8617aa476fbb8dbf04d9033defbc8.png)
,
.
与直线
垂直;
(2)求点
到平面
的距离;
(3)求直线
与平面
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/991451c5002137302527700e195220e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1c8617aa476fbb8dbf04d9033defbc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e90f9f4e44173888a54c624852064a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eabe7498654ad4d38a9f3b4951176a12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(3)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次