如图,在平面四边形
中,
,M在直线
上,
,
,
绕
旋转.
![](https://img.xkw.com/dksih/QBM/2021/2/1/2648790370820096/2650026749878272/STEM/838c09b4-f7ad-4e32-9f49-9d613b46ca22.png)
(1)若
所在平面与
所在平面垂直,求证:
平面
.
(2)若二面角
大小为
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0991d38c6edebb9740ab1061437c720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3fb1c94a174362ba469507cb532afa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef76bc37e256a2786bf6b44a32b87110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/831b29431c9b0177fa86f841417e89e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/159aa852de7f5b236072c5251669bff0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/2021/2/1/2648790370820096/2650026749878272/STEM/838c09b4-f7ad-4e32-9f49-9d613b46ca22.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/159aa852de7f5b236072c5251669bff0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db4e1e8fda90563d2dec09d15e676bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9db7e46fef4f27799aec83a8bfb8eae8.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b954e54a5057567d826beea1791ff362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e663220a66eff19da6a71e46b397db2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3653ada76ba0c8afe9d57c8e7832c6ed.png)
更新时间:2021-02-03 11:56:08
|
相似题推荐
解答题-证明题
|
适中
(0.65)
名校
【推荐1】如图,在四棱锥
中,
,
,
,E为棱
的中点,
平面
.
平面
;
(2)若二面角
的大小为
,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/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0e5697eca3f5205cb7b343648240bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639bec6242a4b3f7bfb4b7033a67328c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.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/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1636b4530c0b42d0e0b649e90e3b9e85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c20e88a33043f4279fff360c81006e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】如图,在长方体
中,
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca8cbab2ee72946beceb799a711411d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb04914c4e8fb3483da44c67fe1809f.png)
![](https://img.xkw.com/dksih/QBM/2022/4/15/2958749631250432/2962148965982208/STEM/bafb3a76-d950-4f1f-9aa3-366129d34052.png?resizew=212)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐1】已知
平面
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd6a2b112facda441f4e34bf5c145fa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/97022f50-1585-47ce-8e10-8b327dbbfd99.png?resizew=162)
(1)求证:平面
平面
;
(2)若
,
,求直线
与平面
所成角的正弦值大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd6a2b112facda441f4e34bf5c145fa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/97022f50-1585-47ce-8e10-8b327dbbfd99.png?resizew=162)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17580410bf63dba4fe164265afaac4cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4eb1b11eb4968b3dc1ea99c01c0c4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐2】在三棱锥
中,AB⊥平面BCD,∠BCD=90°,E、F分别是AC、AD上的点,且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3e1bd91112b2f7a653e012a7df46ac2.png)
(1)求证:平面BEF⊥平面ABC;
(2)若平面BEF⊥平面ACD,求证: BE⊥AC.
您最近一年使用:0次