题目
题型:不详难度:来源:
如图,多面体
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003658-86537.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003658-34441.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003658-10010.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003659-55020.gif)
平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003659-27570.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003659-80708.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003659-12300.gif)
(1)证明四边形
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003659-98196.gif)
(2)判断点
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003700-56396.gif)
(3)连结
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003700-17227.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003700-12068.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003700-78635.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003700-63508.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003701-54236.gif)
…………..2分
同理
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003701-93436.gif)
则四边形
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003659-98196.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003701-72970.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003701-47917.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003659-98196.gif)
(2) 取
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003702-41310.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003702-76303.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003702-62230.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003702-10536.gif)
在梯形
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003702-10373.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003703-97142.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003703-34174.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003703-90309.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003703-97336.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003701-47917.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003704-91376.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003704-27392.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003701-47917.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003704-23175.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003701-47917.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003704-52970.gif)
在梯形
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003704-49249.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003705-99713.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003701-47917.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003705-77412.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003701-47917.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003700-56396.gif)
(3)同(1)中证明方法知四边形BFGC为平行四边形.
且有
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003705-49260.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003705-54733.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003705-94982.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003706-29968.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003706-57033.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003706-93178.gif)
故四边形BFGC为菱形,
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003706-76364.gif)
又由
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003707-64261.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003707-95247.gif)
正方形
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003707-55000.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003707-27770.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003707-49483.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003708-48437.gif)
解析
核心考点
试题【(本小题满分16分)如图,多面体中,两两垂直,平面平面,平面平面,.(1)证明四边形是正方形;(2)判断点是否四点共面,并说明为什么?(3)连结,求证:平面.】;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
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003642-66385.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003642-32886.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003642-23709.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003643-98661.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003642-32886.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003643-46415.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003643-29131.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003642-32886.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003643-10717.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003643-56285.gif)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003643-38512.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003643-40643.gif)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003643-66362.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003643-10414.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003644-66553.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003644-65695.gif)
(Ⅲ)设平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003643-40643.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003644-14134.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003644-55559.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003644-71237.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003644-85683.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003644-19077.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003635-60566.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003635-28203.gif)
(1)证明:PA∥平面EDB;
(2)证明:PB⊥平面EFD.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003636-33474.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003617-81616.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003617-48693.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003617-29757.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003617-27201.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003618-75503.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003618-92884.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003618-36830.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003617-81616.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003618-71684.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003618-79280.gif)
(1)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003619-60681.gif)
(2)求四棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003619-16676.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003617-29757.gif)
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003619-16529.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003619-49564.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003620-38258.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003620-12067.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003608-66030.png)
①若
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003608-95465.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003608-31615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003608-98333.png)
②若a、b相交,且都在
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003609-49909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003609-19359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003609-24529.png)
③若
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003609-60928.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003610-77708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003610-67095.png)
④若
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003610-10882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003610-22016.png)
其中正确的是( )
A.①② | B.②③ |
C.①④ | D.③④ |
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003553-20672.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003553-26126.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003554-96217.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003554-96217.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003554-31316.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003554-88978.jpg)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003554-14323.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003555-14273.gif)
(2)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003555-36876.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003555-14273.gif)
(3)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021003555-44554.gif)
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