【题文】,,若“”是“Ф”的充分条件,则的取值范围是
【题文】,,若“”是“Ф”的充分条件,则的取值范围是
题型:难度:来源:
【题文】
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130147-74570.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130147-42436.png)
,若“
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130147-73642.png)
”是“
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130147-78679.png)
Ф”的充分条件,则
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130148-45793.png)
的取值范围是 ( )
答案
【答案】D
解析
【解析】此题考查集合与充要条件的知识
由题意知,当
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130149-82455.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130149-34684.png)
Ф。
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130149-78658.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130149-92625.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130149-12912.png)
或
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130150-15776.png)
答案 D
点评:利用数轴来帮助解决集合的取值问题很实用。
举一反三
【题文】
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130138-89478.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130138-80549.png)
,若“
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130138-47759.png)
”是“
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130139-28676.png)
Ф”的充分条件,则
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130139-71645.png)
的取值范围是 ( )
【题文】集合
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130134-82548.png)
,B=
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130134-18677.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130134-25346.png)
( )
A.{0} | B.{1} | C.![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130134-55933.png) | D.![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130134-60079.png) |
【题文】集合
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130127-62306.png)
,B=
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130127-43510.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130127-55380.png)
( )
A.{0} | B.{1} | C.![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130127-43698.png) | D.![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130128-13594.png) |
【题文】
设全集
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130122-95477.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130122-88097.gif)
( )
【题文】
设全集
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130056-76426.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20200323/20200323130056-11052.gif)
( )
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