【题文】满足的集合的个数是_______________.
【题文】满足的集合的个数是_______________.
题型:难度:来源:
【题文】满足
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135443-24671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135443-74173.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135443-46557.png)
的集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135443-21300.png)
的个数是_______________.
答案
【答案】
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135444-66684.png)
解析
【解析】
试题分析:首先集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135443-21300.png)
中必含有元素
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135444-73347.png)
,其次还必须含有元素
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135445-14613.png)
中的至少一个元素,所以满足条件的集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135443-21300.png)
有
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135445-18156.png)
个.
考点:集合之间的包含关系.
举一反三
【题文】
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135436-27866.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135436-18111.png)
,且
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135436-53991.png)
,则实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135436-18588.png)
的取值范围_______________.
【题文】(本题10分)已知集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135402-96296.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135403-38342.png)
,若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135403-80019.png)
,求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135403-36361.png)
、
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135404-36993.png)
的值.
【题文】(本题12分)已知集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135345-11529.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135345-38149.png)
.若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135346-64523.png)
,求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135346-81945.png)
的取值范围.
【题文】(本题14分)设
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135325-47209.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135326-80196.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135326-97012.png)
.
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135326-28519.png)
,求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135327-89699.png)
的值;
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135327-76337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135328-34730.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135328-35967.png)
且
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135328-92009.png)
,求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135327-89699.png)
的值;
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135329-51448.png)
,实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322135327-89699.png)
的值.
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