题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075644-45800.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075644-82203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075644-86724.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075644-65580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075644-81828.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075645-34523.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075645-29846.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075645-93846.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075646-27194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075646-63465.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075646-50741.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075646-32646.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075646-73104.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075647-80210.png)
解析
能力,(1)是中档题,(2)是较难题。
以D为原点,DA为x轴正半轴,DC为y轴正半轴,DD1为z轴正半轴,
建立空间直角坐标系,则A(1,0,0),A1(1,0,2),N(
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075647-40886.png)
面MDN的法向量
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075647-51408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075647-34645.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075647-26346.png)
设面A1DN的法向量为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075648-83186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075648-52826.png)
取
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075648-70136.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075648-80772.png)
(1)由题意:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075649-46196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075649-61529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075649-93905.png)
(2)由题意:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075649-96377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075650-53377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075650-43927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075650-37226.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075639-14849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075639-77201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075639-29362.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075639-90755.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075640-81092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075640-37591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075639-14849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075640-33667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075640-91284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075641-11021.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充分必要条件 | D.既不充分也不必要条件 |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075641-60326.png)
(1)如图,对于任一给定的四面体
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075631-80184.gif)
次排列的四个相互平行的平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075631-90137.gif)
得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075631-18602.gif)
的距离都相等;
(2)给定依次排列的四个相互平行的平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075631-90137.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075631-80184.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075631-18602.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075631-80184.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075632-58692.gif)
A.66 | B.60 | C.52 | D.44 |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075622-52103.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075622-56583.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075622-23250.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075618-56360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022075618-65839.png)
A.48 | B.32+8![]() | C.48+8![]() | D.80 |
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