题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030245-92073.gif)
AC、PC的中点,DE
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030245-92073.gif)
(1)求证:AP
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030245-92073.gif)
(2)若AE:EP=1:2,求截面BEF分三棱锥P—ABC所成上、下两部分的体积比。
![]() |
答案
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030246-69991.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030246-83521.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030246-93638.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030246-62529.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030246-94826.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030247-45063.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030247-61054.gif)
由已知
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030247-58403.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030247-68187.gif)
(2)设点E和点A到平面PBC的距离分别为
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030248-41202.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030248-84747.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030248-34880.gif)
故截面BEF分三棱锥P—ABC所成上、下两部分体积的比为1:2。…………10分
核心考点
试题【(本题满分10分) 已知三棱锥P—ABC中,PC底面ABC,AB=BC,D、F分别为AC、PC的中点,DEAP于E。(1)求证:AP平面BDE;(2)若AE:E】;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/20191021/20191021030237-92619.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030238-45538.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030238-94449.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030238-52752.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030238-30637.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030238-99499.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030239-36512.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030239-28275.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030239-49301.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030239-27748.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030240-66506.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030240-62155.gif)
其中正确结论的序号是____★______.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030240-47535.gif)
(1)求证:AC⊥面ABC1;
(2)求证:C1点在平面ABC上的射影H在直线AB上;
(3)求此三棱柱体积的最小值.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030233-90201.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030227-66164.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030228-21794.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030228-20642.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030228-36884.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030228-29676.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030229-20935.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030229-66778.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030229-15119.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030229-31455.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030228-20642.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030229-77841.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030229-66778.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030229-20935.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030222-38379.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030203-21162.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030203-10422.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030203-70573.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030204-98046.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030204-86149.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030204-51484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030204-92339.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030204-33011.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030205-94054.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030205-22883.jpg)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030204-92339.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030204-33011.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030205-94054.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030205-59153.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030206-10564.gif)
(2)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030205-59153.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030206-10564.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030205-59153.gif)
(3)在(2)的条件下,求直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030206-10564.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030205-59153.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021030206-47487.gif)
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