1 . 如图,边长为2的正方形
所在的平面与平面
垂直,
与
的交点为
,
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/22/0d24986c-414b-48f8-b0ef-5ee3c051735c.png?resizew=128)
(1)求证:
平面
;
(2)求直线
与平面
所成角正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9d54cbbf601f4583659771eb534997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/22/0d24986c-414b-48f8-b0ef-5ee3c051735c.png?resizew=128)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0edb1508fc95765f3bb316bcb5252d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8257b6bd25104e07b9ad935c0a3aac4.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
您最近一年使用:0次
2 . 如图在四棱锥
中,底面
为平行四边形,
,
,
为
的中点,
平面
,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/15/b5fa3e11-ccf7-49e7-8ee4-9cc0ada76a02.png?resizew=156)
(1)证明:
平面
;
(2)证明:
平面
;
(3)求直线
与平面
所成角的正切值.
![](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/25ab46164b23af7a4c4907f176e392ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24dcd50b9f6dba73b160297efd9574c2.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/f3e126c16032892966489053f44b9048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae890f9e8b32aa53a54158f24f4a87bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/15/b5fa3e11-ccf7-49e7-8ee4-9cc0ada76a02.png?resizew=156)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa69a2247ad4d5231aa361349b12f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68a7bf0da4f7c6f739d2e2461ad9b7.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5dd496ee0c1170ef6dcc48266ee444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(3)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
名校
解题方法
3 . 如图,点P是菱形ABCD所在平面外一点,且
平面ABCD,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/24cb8be5-10a8-4bd7-87c7-33f06a60d6c9.png?resizew=135)
(1)求证:平面
平面PCE;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/202bdcbdc02deb43a861c501afafa55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9e1636ee301839f397198139b72e5b2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/24cb8be5-10a8-4bd7-87c7-33f06a60d6c9.png?resizew=135)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a67a4e9289c99c6ea017e928120988a.png)
您最近一年使用:0次
2020-02-21更新
|
332次组卷
|
2卷引用:2019届重庆市合川瑞山中学高三下学期模拟训练(理)数学试题
4 . 如图,四棱锥
的底面是边长为1的正方形,
.
![](https://img.xkw.com/dksih/QBM/2011/5/28/1570226053169152/1570226058158080/STEM/6ec1047bc798406ebc411c8d8306fcc2.png?resizew=182)
(1)求证:
平面ABCD;
(2)求四棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e896ec179a48561a0671416340ddfc10.png)
![](https://img.xkw.com/dksih/QBM/2011/5/28/1570226053169152/1570226058158080/STEM/6ec1047bc798406ebc411c8d8306fcc2.png?resizew=182)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
(2)求四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
您最近一年使用:0次
2016-11-30更新
|
1607次组卷
|
8卷引用:重庆市合川实验中学2020-2021学年高二上学期第一次月考数学试题
重庆市合川实验中学2020-2021学年高二上学期第一次月考数学试题(已下线)2010-2011学年湖南省长郡中学高二学业水平二模考试数学(已下线)2012-2013学年山西省大同市实验中学高二第一次月考数学试卷2014-2015学年广东三水区实验中学高二上学期第五段测文科数学试卷宁夏银川市育才中学学益校区2019-2020学年高一上学期第二次月考数学试题重庆市第七中学2020-2021学年高二上学期11月月考数学试题吉林省白城市第一中学2020-2021学年高三上学期第三次月考数学(文)试题苏教版(2019) 必修第二册 必杀技 第13章 立体几何初步 13.2 基本图形位置关系 13.2.3 直线与平面的位置关系 课时2 直线与平面垂直
5 . 如图4,四边形
为正方形,
平面
,
,
于点
,
,交
于点
.
平面
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/728dd7fac41e469ff3e1a1dbe59fb50c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f392902d611863c6908a48e696e7bd8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdd3699fbb7a8ba3f792cceb24719f71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac0b72906641ed13716cfbce50923282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa3254460ecbacecb3e57c5dce227f4.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9726261c25e7086835912c0d4815d270.png)
您最近一年使用:0次
2016-12-03更新
|
5399次组卷
|
8卷引用:【全国校级联考】重庆市合川区高2018届高三下5月模拟理科数学试题
【全国校级联考】重庆市合川区高2018届高三下5月模拟理科数学试题2014年全国普通高等学校招生统一考试理科数学(广东卷)2016届宁夏石嘴山三中高三上学期期末考试理科数学试卷陕西省师范大学附属中学2017-2018学年高二上学期期中考试数学(理)试题(已下线)专题24 空间向量与空间角的计算-十年(2011-2020)高考真题数学分项陕西省西安市长安区第一中学2024届高三上学期期中数学(理)试题宁夏石嘴山三中2016届高三(上)期末数学试卷(理科)(解析版)(已下线)专题23 立体几何解答题(理科)-2