【题文】集合A={富强,民主,文明,和谐},B={自由,平等,公正,法治},C={爱国,敬业,诚信,友善},则集合的真子集的个数是
题型:难度:来源:
【题文】集合A={富强,民主,文明,和谐},B={自由,平等,公正,法治},C={爱国,敬业,诚信,友善},则集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145547-70234.png)
的真子集的个数是
.
答案
【答案】0.
解析
【解析】
试题分析:因为A={富强,民主,文明,和谐},B={自由,平等,公正,法治},C={爱国,敬业,诚信,友善},所以
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145547-70234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145548-92940.png)
,故答案为0.
考点:①集合的运算;②真子集的概念.
举一反三
【题文】(本题12分)若集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145414-51239.png)
,集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145414-79740.png)
,且
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145414-41228.png)
,求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145415-50622.png)
的取值范围.
【题文】(本题13分)已知集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145343-93992.png)
函数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145344-24472.png)
的定义域为集合B.
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145344-81672.png)
,求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145344-16070.png)
的值;
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145345-79740.png)
,求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145344-16070.png)
的取值范围.
【题文】(本题14分)对于函数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145320-25973.png)
,若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145320-29554.png)
,则称
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145320-46241.png)
为
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145320-25973.png)
的“不动点”,若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145320-21765.png)
,则称
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145320-46241.png)
为
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145320-25973.png)
的“稳定点”,函数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145320-25973.png)
的“不动点”和“稳定点”的集合分别记为A和B,即
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145321-63040.png)
.
(1)设
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145321-76820.png)
,求集合A和B;
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145321-64963.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145321-27259.png)
,求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145322-16978.png)
的取值范围;
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145322-13434.png)
,求证:
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322145322-15210.png)
.
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