题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-13139.gif)
且BF
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-13139.gif)
(1)求证:AE
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-13139.gif)
(2)求三棱锥D—AEC的体积;
(3)求二面角A—CD—E的余弦值.
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-65890.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-85484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-13139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-65890.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-13139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-75733.jpg)
平面EAB
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-28305.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-35601.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-85484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-13139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-65890.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-35601.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-85484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-13139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-65890.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-13139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-35601.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-85484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-13139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-65890.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-28305.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-35601.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-35601.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-85484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-13139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-65890.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-35601.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-85484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-13139.gif)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-65890.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-13139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-85484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-68094.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011917-99241.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011917-85568.gif)
∵AE=EB=2,
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-85484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-13139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-65890.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-13139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-85484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011915-13139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011917-90902.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011916-85484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011917-46958.gif)
(3)以O为原点,分别以OE、OB所在
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011917-32157.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011918-98979.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011918-21514.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011918-41095.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011918-47365.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011919-26362.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011919-75528.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011919-84559.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011919-19163.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011919-70340.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011920-91398.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011920-14591.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011920-90520.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011920-54972.gif)
所以二面角A—CD—E的余弦值为
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011920-67211.gif)
解析
核心考点
试题【本小题满分14分)如图,四棱锥E—ABCD中,ABCD是矩形,平面EAB平面ABCD,AE=EB=BC=2,F为CE上的点,且BF平面ACE.(1)求证:AEB】;主要考察你对空间几何体的结构特征等知识点的理解。[详细]
举一反三
(本小题满分12分)如图,已知
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011909-92457.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011909-89599.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011909-29429.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011910-26506.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011910-16209.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011910-64258.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011910-10167.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011911-90328.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011911-28335.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011911-16815.gif)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011911-71353.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011911-56482.gif)
(2)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011911-56482.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011912-51235.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011912-71648.gif)
(3)求直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011912-19598.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011911-56482.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011912-40808.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011913-73022.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011859-77099.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011859-32721.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011859-82054.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011859-33964.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011859-34761.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011859-19072.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011859-60803.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011859-60803.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011859-14115.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011900-18488.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011900-79317.gif)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011900-91380.gif)
(2)求三棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011900-90822.gif)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011900-20667.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011859-14115.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011901-32964.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011901-82769.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011901-23137.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011902-68082.jpg)
如图,在四棱锥P—ABCD中,底面ABCD是矩形,
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011903-79923.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011903-87623.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011903-80791.jpg)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011904-12348.gif)
(2)求直线CD与平面ACM所成的角的余弦值.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011704-72836.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011704-72156.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011704-46962.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011705-49951.jpg)
A.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011705-94112.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011705-55336.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011705-97110.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011706-12333.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011652-12116.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011652-17161.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011652-89779.jpg)
①求证PO丄平面ABCD
②求异面直线PB与CD的夹角;
③求点A到平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011653-75713.gif)
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