题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062750-71893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062750-76310.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062750-40328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062751-56639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062751-18402.png)
(1)求四面体
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062750-71893.png)
(2)证明:四边形
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062751-98568.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062751-56065.png)
解析
试题分析:(1)由该四面体的三视图可知:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062751-27486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062751-64745.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062752-73779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062752-82260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062752-83318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062752-82434.png)
(2)由该四面体的三视图可知:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062751-27486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062751-64745.png)
由题设,
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062752-72435.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-83091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-83091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-83261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-41010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-83091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-83261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-50180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062752-72435.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-10065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062752-72435.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062754-63265.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-10065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062754-63265.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062754-84766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062754-51021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-83091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062754-62777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-83091.png)
试题解析:
(1)由该四面体的三视图可知:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062751-27486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062751-64745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062755-47568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062752-82260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062755-93897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062755-19868.png)
(2)由该四面体的三视图可知:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062751-27486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062751-64745.png)
由题设,
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062752-72435.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-83091.png)
面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-83091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-83261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-41010.png)
面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-83091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-83261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-50180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062755-64352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-10065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062752-72435.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062754-63265.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062756-16737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062754-63265.png)
同理
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062754-84766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062756-88981.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062754-51021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062756-88981.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062756-23296.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062754-51021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062755-93897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-83091.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062756-31347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062755-93897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062752-73779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062752-82260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062756-60874.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062757-89607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-10065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062754-84766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062756-88981.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062757-61675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062755-93897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062753-83091.png)
核心考点
试题【四面体及其三视图如图所示,平行于棱的平面分别交四面体的棱于点.(1)求四面体的体积;(2)证明:四边形是矩形.】;主要考察你对空间几何体的视图与直观图等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062744-45374.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062738-88704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062738-30736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062739-77693.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062739-82469.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062734-66026.jpg)
A.三棱锥 | B.三棱柱 | C.四棱锥 | D.四棱柱 |
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062732-47532.png)
A. B. C. D
(1)试说出该几何体是什么几何体;
(2)按实际尺寸画出该几何体的直观图,并求它的表面积及体积.(只要做出图形,不要求写作法)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021062725-77401.png)
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