1 . 已知
为异面直线,
平面
,
平面
,直线
满足
,
,
,
,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1765c98c56b0f1432b077327843c2f63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d1a34ae2b8c77f8d7e355c6d1d667e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42137c97a4e4ceba8c8ab15ac97c7171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c62c14a017007a6bdfe25eada9c433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88f636ffb1c966151260fb82604d2916.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98159914fe3456fea49a8afe255439fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/920eed81051dc296ce8bd704e0aec365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a144b1da8462b1ee9fbd6c7587d946.png)
A.![]() ![]() ![]() |
B.![]() ![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
2 . 如图,在三棱锥P—ABC中,PC⊥底面ABC,AB⊥BC,D,E分别是AB,PB的中点.
![](https://img.xkw.com/dksih/QBM/2015/10/26/1572264677883904/1572264683847680/STEM/69c6e4fe-e139-4edb-a9b0-194f2e345fc9.png?resizew=245)
(Ⅰ)求证:DE∥平面PAC.
(Ⅱ)求证:AB⊥PB;
(Ⅲ)若PC=BC,求二面角P—AB—C的大小.
![](https://img.xkw.com/dksih/QBM/2015/10/26/1572264677883904/1572264683847680/STEM/69c6e4fe-e139-4edb-a9b0-194f2e345fc9.png?resizew=245)
(Ⅰ)求证:DE∥平面PAC.
(Ⅱ)求证:AB⊥PB;
(Ⅲ)若PC=BC,求二面角P—AB—C的大小.
您最近一年使用:0次
2016-12-03更新
|
1157次组卷
|
4卷引用:2015-2016学年湖南省长郡、雅礼中学等名校高一第一次段测数学试卷
3 . 如图所示,正方形
和矩形
所在平面相互垂直,
是
的中点.
(I)求证:
;
(Ⅱ)若直线
与平面
成45o角,求异面直线
与
所成角的余弦值.
![](https://img.xkw.com/dksih/QBM/2011/12/30/1570670039982080/1570670045560832/STEM/269fa22ea2094d3d89c98ceccf9bb4c8.png)
![](https://img.xkw.com/dksih/QBM/2011/12/30/1570670039982080/1570670045560832/STEM/94b1a1e028f342b5afc275133abc16a4.png)
![](https://img.xkw.com/dksih/QBM/2011/12/30/1570670039982080/1570670045560832/STEM/2aa472021b2c4aa594a10bd7be6ca1cf.png)
![](https://img.xkw.com/dksih/QBM/2011/12/30/1570670039982080/1570670045560832/STEM/ccf381b5c300478fb63a417aa0e20096.png)
(I)求证:
![](https://img.xkw.com/dksih/QBM/2011/12/30/1570670039982080/1570670045560832/STEM/a3071d36b15e4c6fb11191bdf6c619ff.png)
(Ⅱ)若直线
![](https://img.xkw.com/dksih/QBM/2011/12/30/1570670039982080/1570670045560832/STEM/323d63cefb284f7a91573cf196c8e1fc.png)
![](https://img.xkw.com/dksih/QBM/2011/12/30/1570670039982080/1570670045560832/STEM/269fa22ea2094d3d89c98ceccf9bb4c8.png)
![](https://img.xkw.com/dksih/QBM/2011/12/30/1570670039982080/1570670045560832/STEM/795494b8f79c4bd3a277f1b662f486ec.png)
![](https://img.xkw.com/dksih/QBM/2011/12/30/1570670039982080/1570670045560832/STEM/3ef6d0ce925b40fbacfa83b3d1a35501.png)
![](https://img.xkw.com/dksih/QBM/2011/12/30/1570670039982080/1570670045560832/STEM/af253d886d054654bcecdc3cebdb693e.png)
您最近一年使用:0次
2016-12-03更新
|
827次组卷
|
6卷引用:2016届湖南省长沙明德中学高三上第三次月考文数学卷
2016届湖南省长沙明德中学高三上第三次月考文数学卷(已下线)2011-2012学年浙江省岱山县大衢中学高二上学期期末考试文科数学(已下线)2012—2013学年四川省攀枝花市七中高二上学期期中理科数学试卷2014-2015学年海南省四校联考高一下学期期末考试数学试卷2015-2016学年四川成都市六校高二上学期期中联考理科数学试卷2015-2016学年四川成都市六校高二上学期期中联考文科数学试卷
4 . 如图1,在边长为
的正方形
中,
,且
,且
,
分别交
于点
,将该正方形沿
折叠,使得
与
重合,构成图
所示的三棱柱
,在图
中:
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/a4481d9256454d01bff9cc1879c2f0e1.png)
(1)求证:
;
(2)在底边
上有一点
,使得
平面
,求点
到平面
的距离.
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/a699a92e534442e3a6fe272adbea0bc2.png)
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/68e7ea500ddc46c68802c1fa886def8f.png)
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/436b7864ef5144f58f0f14411b2a42f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/cb56d01ef8f84b4283224f40ab9a0e82.png)
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/9ccec588a42b40928c4422e3ace09bd1.png)
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/21da31dc9bdb407786ccb92aa773db61.png)
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/15aa9f5d492a421582c8082a6232b287.png)
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/4b4445af0db84e36bc9e83ca1a09d999.png)
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/ba7f4866ed88464f894dbaf2a2dea8af.png)
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/b1f77247542c43efb9e2e4d1ba7b5210.png)
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/dee8d6d16ef04fcda9c9c2bdf658b5a8.png)
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/b1f77247542c43efb9e2e4d1ba7b5210.png)
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/a4481d9256454d01bff9cc1879c2f0e1.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/e5717035286f4368ba601a8c4593ce77.png)
(2)在底边
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/a6478bed4ab24236a46286c2c36dbf94.png)
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/64a954274bab41378c39f1ca403deb09.png)
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/2da510d224ca45f78f3f33bc45f2f4bb.png)
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/63f9c638f2564f8e878280e6fe95aaac.png)
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/64a954274bab41378c39f1ca403deb09.png)
![](https://img.xkw.com/dksih/QBM/2015/6/29/1572151777124352/1572151783088128/STEM/d1da99918bfa499083de65403f890098.png)
您最近一年使用:0次
5 . 如图,在长方体ABCD-A1B1C1D1中,AA1=AB=2AD=2,E为AB的中点,F为D1E上的一点,D1F=2FE.
![](https://img.xkw.com/dksih/QBM/2015/6/16/1572126552014848/1572126557708288/STEM/04f46ce5fc674c419d108ff6f3b30089.png)
(Ⅰ)证明:平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44b34f6deecbc80481218e1e901f788.png)
平面
;
(Ⅱ)求二面角
的平面角的余弦值.
![](https://img.xkw.com/dksih/QBM/2015/6/16/1572126552014848/1572126557708288/STEM/04f46ce5fc674c419d108ff6f3b30089.png)
(Ⅰ)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44b34f6deecbc80481218e1e901f788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4237f6a1fc115bb790aa10704b7908c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb4e4c148b9185e09e454955eaa7312.png)
(Ⅱ)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f00b8bcb4ff3f40f7796f73d8ddfaa4.png)
您最近一年使用:0次
6 . 如图,在三棱柱
中,
侧面
,已知
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341316096/STEM/ca009acaf07e4e96b47d8f6072d283e1.png)
(1)求证:
平面
;
(2)当
点为棱
的中点时,求
与平面
所成的角的正弦值.
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341316096/STEM/9e6cec99428b45d68f910a3796b45ac7.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341316096/STEM/d7401aaeecce45948f43f161049df72b.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341316096/STEM/36a70409909846759f53a157686d60cf.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341316096/STEM/3decf25ae9c94dc982bbe3900c9ac504.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341316096/STEM/a57369472f6647aca29e7cff6e6a629b.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341316096/STEM/73e0fd140b094aaa83762a1ad544d090.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341316096/STEM/3b5e59295876408492787dc5e50ad3be.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341316096/STEM/ca009acaf07e4e96b47d8f6072d283e1.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341316096/STEM/75efc8b6cc2847198892eae24c8484b8.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341316096/STEM/75175b8899dd463180ecaf45c5fd89d5.png)
(2)当
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341316096/STEM/8c762f1fc0464fc1b6753f82948be8fc.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341316096/STEM/bda708c1e6cc481cbba900fee6ebaabc.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341316096/STEM/6d0728c2a96d4ba8ab451ce0bd696117.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572123335229440/1572123341316096/STEM/276da37823ae4e0a8232267507223f7d.png)
您最近一年使用:0次
7 . 如图,在四棱锥
中,
平面
,底面
是菱形,
,
为
与
的交点,
为
上任意一点.
(1)证明:平面
平面
;
(2)若
平面
,并且二面角
的大小为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86db010859f7a243badec02946a4e24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/677d1863ff4d8ac1604b18149d4f320f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36222db36e348661eb5f616820e4e60f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca48c18021e7be4bbb3e95576e1c1b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/306681bd5aaa51e9c63ab3002e23dec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ccfd81d120348601cd611241d1a5dc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af53bde2b93b4707c79d00010ac9ff06.png)
![](https://img.xkw.com/dksih/QBM/2018/3/25/1909534314594304/1912476343926784/STEM/d7f94517aeb34b6b99a53db8b1b90065.png?resizew=164)
您最近一年使用:0次
2016-12-03更新
|
17次组卷
|
4卷引用:2015届湖南长沙长郡中学等十三校高三第二次联考理科数学试卷
8 . 如图,在四棱锥
中,底面
是正方形,
底面
,
,点
是
的中点,
且交
于点
.
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572037009702912/1572037015175168/STEM/d0ad3d8f86b14ef6b1d0b774d55be1c6.png)
(Ⅰ)求证:平面
平面
;
(Ⅱ)求二面角
的余弦值.
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572037009702912/1572037015175168/STEM/f91834aec9e4406ca6c5e530e59a5174.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572037009702912/1572037015175168/STEM/49c892179a1d470588be72914758f651.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572037009702912/1572037015175168/STEM/71f7594c28e74fa1afc78a4dd837941b.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572037009702912/1572037015175168/STEM/49c892179a1d470588be72914758f651.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572037009702912/1572037015175168/STEM/b8952d8c03ba4ef3aa724bf17a79c80e.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572037009702912/1572037015175168/STEM/56dcee58ce844e1fac90ecf34cf0c445.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572037009702912/1572037015175168/STEM/30eca33a186c44a9bee613d9b8ec0c52.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572037009702912/1572037015175168/STEM/3450569e1be3482bbed74a8e757e0629.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572037009702912/1572037015175168/STEM/e6ae040b16af480ebf6f41f0ab8c8213.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572037009702912/1572037015175168/STEM/f2089e9c69014c06818121647f28cefe.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572037009702912/1572037015175168/STEM/d0ad3d8f86b14ef6b1d0b774d55be1c6.png)
(Ⅰ)求证:平面
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572037009702912/1572037015175168/STEM/8ea98d035f694d07aa822d3db439d6be.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572037009702912/1572037015175168/STEM/1130ed172f284f1991d54d20b90ff43b.png)
(Ⅱ)求二面角
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572037009702912/1572037015175168/STEM/cb526a8c5f714270aa20563b38362e9d.png)
您最近一年使用:0次
9 . 如图,四边形
是正方形,△
与△
均是以
为直角顶点的等腰直角三角形,点
是
的中点,点
是边
上的任意一点.
![](https://img.xkw.com/dksih/QBM/2015/3/25/1572027454300160/1572027459665920/STEM/11089b4bf19946629b08c59efbc2ec56.png)
(1)求证:
;
(2)求二面角
的平面角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2015/3/25/1572027454300160/1572027459665920/STEM/11089b4bf19946629b08c59efbc2ec56.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ddaefd87840c63bb301477bfabf5b26.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea71ca581022f0091a634db730ac77ba.png)
您最近一年使用:0次
2016-12-03更新
|
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6卷引用:2015届广东省广州市高三1月模拟理科数学试卷
2015届广东省广州市高三1月模拟理科数学试卷2015-2016学年河南省信阳高中高二12月考理科数学试卷人教A版高中数学必修二 2.3.2 平面与平面垂直的判定安徽省阜阳市太和第一中学2020-2021学年高二(平行班)上学期开学考试数学试题湖南省长沙市雅礼中学2020-2021学年高二上学期期末数学试题(已下线)第六章 立体几何初步(基础过关)-2020-2021学年高一数学单元测试定心卷(北师大2019版必修第二册)
10 . 如图,三角形
和梯形
所在的平面互相垂直,
,
,
是线段
上一点,
.
![](https://img.xkw.com/dksih/QBM/2015/1/7/1571954537906176/1571954543583232/STEM/eb5de11f53b9486a95c823ca5395a033.png)
(Ⅰ)当
时,求证:
平面
;
(Ⅱ)求二面角
的正弦值;
(Ⅲ)是否存在点
满足
平面
?并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://img.xkw.com/dksih/QBM/2015/1/7/1571954537906176/1571954543583232/STEM/34863702cddf4f69a0a631b827a375ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af254745c1c19bd20e83344bee674ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc0ad970b9a20e8d7e6f9c9ffe8427b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08d033f52d45ef3ba9c69a1d34615e30.png)
![](https://img.xkw.com/dksih/QBM/2015/1/7/1571954537906176/1571954543583232/STEM/eb5de11f53b9486a95c823ca5395a033.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/883a2090ac575f032e379b7e64a623cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1399e7ae0b2decaafc62a5cdffb15522.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(Ⅱ)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f77444ac4bc308a0fd5f996598e74b54.png)
(Ⅲ)是否存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf511390456b2ef0370e326b6d76fbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffee8b7eff437080a0936d837ceabe95.png)
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