题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015208-79444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015208-62315.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015208-30832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015208-11808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015209-92105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015209-37763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015209-44777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015209-64289.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015210-42616.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015208-62315.png)
(2)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015210-74382.png)
(3)证明:在线段
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015210-95572.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015210-55214.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015211-85590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015211-30675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015211-47461.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015211-40079.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015212-42639.png)
解析
试题分析:(1)要证线面垂直,就是要证
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015212-90129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015208-62315.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015212-65721.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015212-20948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015213-68194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015213-39575.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015210-42616.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015208-62315.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015213-93665.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015213-35120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015213-62522.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015214-92690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015214-62832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015214-62175.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015214-74154.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015215-45254.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015215-52585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015215-53599.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015211-30675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015215-97570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015210-95572.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015210-55214.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015216-73418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015216-55407.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015211-30675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015216-89676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015211-30675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015216-11182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015216-90185.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015210-95572.png)
试题解析:(1)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015217-53965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015208-30832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015217-43798.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015217-64568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015218-49537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015217-64568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015213-68194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015213-39575.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015218-89012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015217-64568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015210-42616.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015208-62315.png)
(2)以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015213-35120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015213-62522.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015214-92690.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015218-50158.png)
平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015218-70213.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015219-36474.png)
设平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015211-30675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015219-80238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015217-53965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015219-12852.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015219-26603.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015217-64568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015220-45960.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015220-23800.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015217-64568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015220-84798.png)
设二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015210-74382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015220-75535.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015221-17466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015217-64568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015210-74382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015211-40079.png)
(3)假设存在点
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015221-19918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015211-85590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015211-30675.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015221-38058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015221-10157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015217-64568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015222-72750.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015211-85590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015211-30675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015217-64568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015222-90233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015222-74311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015217-64568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015222-18005.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015210-95572.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015212-42639.png)
核心考点
试题【如图:在四棱锥中,底面是正方形,,,点在上,且.(1)求证:平面; (2)求二面角的余弦值;(3)证明:在线段上存在点,使∥平面,并求的长.】;主要考察你对向量与空间位置关系等知识点的理解。[详细]
举一反三
DC//AB,DA=DC=2AB.
(1)若点E为棱PA上一点,且OE∥平面PBC,求
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015153-90159.png)
(2)求证:平面PBC^平面PDC.
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015154-15702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015133-21755.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015133-79863.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015134-56957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015134-64596.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015134-81007.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015134-83989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015134-65958.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015134-99757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015135-90884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015135-59159.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015135-74329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015136-53918.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015136-76413.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015136-98960.png)
(2)求直线
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015136-70185.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015136-79554.png)
(3)线段
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015134-99757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015137-19208.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015136-79554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015137-37134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015137-52908.png)
不存在,说明理由.
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015114-27377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015114-18333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015115-39170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015115-47188.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015115-64305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015115-38548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015115-41717.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015116-93533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015116-82239.png)
(2)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015116-85257.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015116-60687.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015059-44027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015059-85924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015059-23067.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015100-18550.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106015100-31972.jpg)
A.相交 | B.平行 | C.垂直 | D.不能确定 |
A.![]() | B.![]() | C.![]() | D.1 |
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