1 . 已知正方形
边长为4,将
沿
向上翻折,使点
与点
重合,设点
为翻折过程中点
的位置(不包含在点
处的位置),则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
A.无论点![]() ![]() |
B.直线![]() ![]() ![]() |
C.三棱锥![]() ![]() |
D.当平面![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
2 . 如图,在四棱锥
中,平面
平面
,
,
,
,
.
平面
;
(2)已知三棱锥
的体积为
,点
为线段
的中点,设平面
与平面
的交线为
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec2d5ab801f2a84b78139b0ea2c5032b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62974d34de3a12418d6b700420afd1b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5928c98b341b16d4b5a5b931d2929d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)已知三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bb4a4ae03c0284c54e1636efca3e7ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c9298da3cd8b9db58692e0173f3fd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce5ac89d065f2cd37511b202ae9ea9cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
您最近一年使用:0次
2024-04-08更新
|
922次组卷
|
2卷引用:湖南省常德市2024届高三下学期3月模拟考试数学试题
名校
3 . 如图1,在矩形
中,点E在边
上,
,将
沿
进行翻折,翻折后D点到达P点位置,且满足平面
平面
,如图2.
![](https://img.xkw.com/dksih/QBM/2022/5/17/2981496153989120/2982089805996032/STEM/ef59e91a-06ba-4563-bedb-280a141a5b8a.png?resizew=368)
(1)若点F在棱
上,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
平面
,求
;
(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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1443b3e1d27b26318c9ad324e0e60da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b43490ca09467a4c8cd8cfe91c94e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d96357a07048ba79b8c84097d359d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ff27eea7545bb06f9472f91290c54e.png)
![](https://img.xkw.com/dksih/QBM/2022/5/17/2981496153989120/2982089805996032/STEM/ef59e91a-06ba-4563-bedb-280a141a5b8a.png?resizew=368)
(1)若点F在棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aafecdff4e61f7e74e06db9b31c826c.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db04e82f03e6216886d416b35abe85a3.png)
您最近一年使用:0次
2022-05-18更新
|
873次组卷
|
4卷引用:湖南省常德市第一中学2022届高三考前二模数学试题
名校
解题方法
4 . 如图1,在平行四边形ABCD中,AB=2,
,∠ABC=30°,AE⊥BC,垂足为E.以AE为折痕把△ABE折起,使点B到达点P的位置,且平面PAE与平面AECD所成的角为90°(如图2).
![](https://img.xkw.com/dksih/QBM/2022/5/5/2973060914454528/2973821919248384/STEM/24103a0b-e1e5-42e4-af23-c7153aa94fb5.png?resizew=415)
(1)求证:PE⊥CD;
(2)若点F在线段PC上,且二面角F-AD-C的大小为30°,求三棱锥F-ACD的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4187a861d1c558ee70701fc501f58842.png)
![](https://img.xkw.com/dksih/QBM/2022/5/5/2973060914454528/2973821919248384/STEM/24103a0b-e1e5-42e4-af23-c7153aa94fb5.png?resizew=415)
(1)求证:PE⊥CD;
(2)若点F在线段PC上,且二面角F-AD-C的大小为30°,求三棱锥F-ACD的体积.
您最近一年使用:0次
2022-05-06更新
|
1785次组卷
|
5卷引用:湖南省常德市第一中学2022届高三考前一模数学试题