题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074221-80334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074222-74062.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074222-35377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074222-21451.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074222-18611.png)
面的距离相等,则
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074222-21451.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074222-18611.png)
A.外心 | B.垂心 | C.内心 | D.重心 |
答案
解析
解:侧面与底面所成的二面角都相等,并且顶点在底面的射影在底面三角形内则底面三条高的垂足、三棱锥的顶点和顶点在底面的射影这三者构成的3个三角形是全等三角形,所以顶点在底面的射影到底面三边的距离相等,所以是内心.故选C.
核心考点
举一反三
则两个棱锥A-B1CD1,P-ABCD的体积之比是( )
A.1:4 | B.3:8 | C.1:2 | D.2:3 |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074217-52626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074211-66702.png)
①若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074211-48114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074212-20079.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074212-33468.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074212-97511.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074212-52572.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074211-48114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074212-11947.png)
③若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074213-19583.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074212-20079.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074213-98838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074213-50243.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074213-20956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074214-72094.png)
其中正确命题的序号是 ( )
A.①和② | B.②和③ | C.③和④ | D.①和④ |
A.2 | B.4 | C.6 | D.8 |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074158-42066.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074158-60413.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074158-56478.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074158-97015.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074158-47762.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074159-24059.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074159-58118.gif)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074159-76878.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074159-29459.gif)
(2)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074159-28570.gif)
(3)求三棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074159-94241.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074150-40287.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074150-66551.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074151-56010.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074151-57958.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074151-87782.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074151-34950.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074151-54110.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074152-19759.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074152-18247.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074152-19759.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074152-73576.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074152-30858.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022074152-93469.gif)
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