题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085931-20563.png)
A.![]() | B.![]() | C.![]() | D.![]() |
答案
解析
专题:计算题.分析:几何体是一个简单组合体,上面是一个圆锥,圆锥的高是a,底面直径是2a,这些都比较好看出,再根据圆锥的体积公式,得到结果,下面是一个特正方体,棱长是a,做出体积把两个体积相加得到结果.
解答:解:由三视图知,几何体是一个简单组合体,
上面是一个圆锥,圆锥的高是a,底面直径是2a,
∴圆锥的体积是
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085932-65386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085932-73477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085932-65386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085932-32091.png)
下面是一个棱长是a的正方体,
正方体的体积是a
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085932-32091.png)
∴空间几何体的体积是
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085932-65386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085932-32091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085932-32091.png)
故选A.
点评:本题考查由三视图求空间组合体的体积,解题的关键是看清题目的个部分的长度,特别是椎体,注意条件中所给的是锥体的高,还是母线长,这两个注意区分.
核心考点
试题【一几何体的三视图如下,则它的体积是 ( ) A.B.C.D.】;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/20191021/20191021085924-96993.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085924-83755.png)
A.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085925-95362.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085925-95959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085925-93999.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085925-49845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085918-11128.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085918-43826.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085918-32233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085919-89423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085919-97630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085919-27908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085919-56298.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021085920-49188.jpg)