题目
题型:不详难度:来源:
(本小题满分12分)
一个多面体的直观图和三视图如图所示
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091601-91645.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091601-35339.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091601-95757.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091601-69446.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091601-77998.gif)
面角为
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091601-75722.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091602-56133.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091602-88293.gif)
![]() | |||
![]() | |||
答案
解:(1)由三视图可知
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091603-81420.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091603-12612.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091603-96449.gif)
连接
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091603-99201.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091603-50629.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091604-89992.gif)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091604-72091.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091604-11748.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091604-14661.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091604-48564.gif)
(2)由三视图可知,
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091605-82367.gif)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091605-86967.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091605-65589.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091601-77998.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091605-45582.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091606-65544.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091606-53484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091606-45162.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091606-53484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091606-44030.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091606-11293.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091607-31479.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091602-56133.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091607-64298.gif)
解析
核心考点
试题【(本小题满分12分)一个多面体的直观图和三视图如图所示(1)求证:;(2)是否在线段上存在一点,使二面角的平面角为,设,若存在,求;若不存在,说明理由 】;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/20191021/20191021091556-43112.png)
A.![]() | B.![]() | C. 4 | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091550-79123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091550-41360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091550-91241.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091552-89200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091548-97056.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091545-38108.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091546-74787.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091540-68212.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091540-58802.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091540-60107.gif)
(正视图)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021091541-41645.gif)
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