1 . 已知在四棱锥
中,底面
是矩形,
平面
,
,
分别是
,
的中点,
与平面
所成的角的正切值是
;
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/3429eb66-6422-4c62-a2d4-8e4c7cf17ecd.png?resizew=218)
(1)求证:
平面
;
(2)求二面角
的正切值.
![](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/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8716b5aad93d97ca1c3791b9c717cc0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee14db57f0c762aad845cf5b4a243c0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/3429eb66-6422-4c62-a2d4-8e4c7cf17ecd.png?resizew=218)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d46554105150391e671609fc6348a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9068f29d671d76d1e95ba3a4eaff5b96.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15fdf93ad368287ede49777923d190dc.png)
您最近一年使用:0次
2019-09-18更新
|
461次组卷
|
2卷引用:贵州省安顺市平坝区平坝第一高级中学2018-2019学年高一下学期期末数学试题
2 . 用一个平面
去截圆柱,截得一离心率为
的椭圆,则平面
与圆柱底面所成锐二面角的余弦为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
2019-05-10更新
|
483次组卷
|
2卷引用:【市级联考】贵州省贵阳市2019年高三5月适应性考试(二)理科数学试题
3 . 如图,在三棱柱ABC-A1B1C1中,BB1⊥平面ABC,∠BAC=90°,AC=AB=AA1,E是BC的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/80160bc2-d47f-4b2a-90d0-9085e2e228e6.png?resizew=121)
(1)求证:AE⊥B1C;
(2)求异面直线AE与A1C所成的角的大小;
(3)若G为C1C中点,求二面角C-AG-E的正切值.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/80160bc2-d47f-4b2a-90d0-9085e2e228e6.png?resizew=121)
(1)求证:AE⊥B1C;
(2)求异面直线AE与A1C所成的角的大小;
(3)若G为C1C中点,求二面角C-AG-E的正切值.
您最近一年使用:0次
2019-03-29更新
|
1147次组卷
|
12卷引用:贵州省三都民族中学2017-2018学年高二第二学期第一次月考数学(理)试题
贵州省三都民族中学2017-2018学年高二第二学期第一次月考数学(理)试题【全国百强校】黑龙江省实验中学2017-2018学年高一下学期期末考试数学(文)试题【全国百强校】黑龙江省实验中学2017-2018学年高一下学期期末考试数学(理)试题【全国百强校】陕西省西安中学2018-2019学年高二(上)期末数学(理)试题广东省佛山市第一中学2019-2020学年高二上学期10月月考数学试题河北省张家口市第一中学2018-2019学年高一衔接班下学期期末数学试题吉林省长春市农安县实验中学2019-2020学年高一下学期期末考试数学试题(已下线)第32讲 平面的基本性质与推论-2021年新高考数学一轮专题复习(新高考专版)海南省海口市灵山中学2020届高三上学期数学第四次月考试题(已下线)考点50 用综合法求角与距离-备战2022年高考数学一轮复习考点帮(新高考地区专用)【学科网名师堂】北京九中2019-2020学年高二上学期期中数学试题(已下线)第50讲 用综合法求角与距离
4 . 如图,已知棱柱
中,底面
是平行四边形,侧棱
底面
,
.
![](https://img.xkw.com/dksih/QBM/2017/5/8/1682702602084352/1684516673716224/STEM/bd9b5c01c593493c886e2b349ee68d51.png?resizew=235)
(1)求证:
平面
;
(2)求二面角
的平面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845ccc0d735dc14c92a8926d9b1def6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a51471ddc72972cdce9ae16748dd54f.png)
![](https://img.xkw.com/dksih/QBM/2017/5/8/1682702602084352/1684516673716224/STEM/bd9b5c01c593493c886e2b349ee68d51.png?resizew=235)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56fdf217165748fafe938b64fa08179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35d027be176d18651cfd30f5492789ba.png)
您最近一年使用:0次
2017-05-11更新
|
349次组卷
|
3卷引用:贵州省贵阳市2017年高三适应性考试(二)理科数学试题
5 . 如图,四边形
是体积为
的圆柱
的轴截面,点
在底面圆周上,
是
的中点.
![](https://img.xkw.com/dksih/QBM/2017/4/22/1671451843780608/1675008967917568/STEM/0bbe372367a24874a8372ea96221fc71.png?resizew=259)
(1)求证:
平面
;
(2)求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e20dfdb0533931453c63bf22419dbb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0009063fe00277645aff1be6e32471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d095a6f7e13267ec2ed80827c72716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd17a66a2af938c89e46f22e4d893b1.png)
![](https://img.xkw.com/dksih/QBM/2017/4/22/1671451843780608/1675008967917568/STEM/0bbe372367a24874a8372ea96221fc71.png?resizew=259)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071159cac13097ea0928285bc1be66d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5082fa0f36a008dc2838146ea2bf2e1b.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1268d322e77220ab39f1ebda2f1923ba.png)
您最近一年使用:0次
2017-04-27更新
|
654次组卷
|
2卷引用:贵州省遵义市第四中学2018届高三上学期第一次月考理数试题
名校
6 . 如图,等腰
中,
,
,点
分别在
上,
,
为
边上的中点,
交
于点
,将
沿
折到
的位置,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/9/99d12685-9c1a-4275-8a68-b7a06fac6bb6.png?resizew=192)
(1)证明:
平面
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59fe75f967e8915c9124a5d4ac420a4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374fe9986ebbc986fc422e514ab93a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4af42b23810ede42d88067f5d86dbc5b.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/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf1438142deeac876fc7dc50552e552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2ea13010e2399194be2a681310543e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9272e76d70b87882b81823e5de53bc14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0f024e7418c0607cae20d36db6e6f74.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/9/99d12685-9c1a-4275-8a68-b7a06fac6bb6.png?resizew=192)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd40c315ef80bafac2af3e15e3920782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b50add25141b34a725b1814a73651505.png)
您最近一年使用:0次
7 . 如图:在四棱锥
中,底面
是边长为2的正方形,其它四个侧面都是侧棱长为
的等腰三角形.
![](https://img.xkw.com/dksih/QBM/2012/2/6/1570717257007104/1570717262626816/STEM/9f0383676d6b426488349d75281635d7.png?resizew=170)
(1)求二面角
的平面角的大小;
(2)求四棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95366a7c9721ed4e2f6f7dbc9ff73540.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30efdb9c7eb4b788352056f3edf21635.png)
![](https://img.xkw.com/dksih/QBM/2012/2/6/1570717257007104/1570717262626816/STEM/9f0383676d6b426488349d75281635d7.png?resizew=170)
(1)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef463661f015a797f4905a3b17de2592.png)
(2)求四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95366a7c9721ed4e2f6f7dbc9ff73540.png)
您最近一年使用:0次
2016-12-01更新
|
621次组卷
|
3卷引用:贵州省思南中学2019-2020学年高一下学期期末考试数学试题