题目
题型:不详难度:来源:
答案
由E、F、G是棱DA、DC、DD1的中点可得
GE∥AD1,GP∥CD1.
又GE
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044230-91150.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044230-91150.gif)
∴AD1∥平面EFG,CD1∥平面EFG.
又AD1∩CD1=D1,∴平面EFG∥平面ACD1.
解析
核心考点
试题【正方体ABCD—A1B1C1D1中,E、F、G分别是棱DA、DC、DD1的中点,试找出过正方体的三个顶点且与平面EFG平行的平面,并证明.】;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
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044221-52123.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044222-94551.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044222-90408.gif)
求证:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044222-71456.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044222-87335.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044222-38242.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044222-99880.gif)
![]() |
则另一个平面也垂直于第三个平面.
已知:如图,
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044213-69457.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044213-67856.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044213-16640.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044213-23830.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044213-91926.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044214-37457.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044214-14694.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044208-87594.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044209-58056.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044159-36411.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044159-45771.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044200-53224.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044200-28628.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044200-82870.gif)
求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044201-85370.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044201-24195.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044148-60978.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044148-33869.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044148-60978.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044149-68565.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044149-25889.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044149-67305.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044149-49254.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044149-49254.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044150-65595.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044150-49434.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044150-11258.gif)
求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106044150-35786.gif)
![]() |
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