【题文】(本小题满分10分)已知全集,若,,求实数、的值.
【题文】(本小题满分10分)已知全集,若,,求实数、的值.
题型:难度:来源:
【题文】(本小题满分10分)已知全集
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150133-11444.png)
,若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150133-40595.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150133-18671.png)
,求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150133-16247.png)
、
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150134-99527.png)
的值.
答案
解析
【解析】
试题分析:由题意
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150135-14895.png)
,而
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150133-11444.png)
,故
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150135-41397.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150134-77255.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150134-42621.png)
或
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150135-62131.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150134-42621.png)
.
试题解析:因为
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150133-40595.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150133-18671.png)
,
所以
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150135-14895.png)
,
由已知得
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150135-41397.png)
,
解得
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150135-72890.png)
.
因此
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150134-77255.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150134-42621.png)
或
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150135-62131.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150134-42621.png)
.
考点:集合的运算
举一反三
【题文】(本小题满分12分)已知集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150121-14005.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150121-87470.png)
.
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150121-39150.png)
时,求集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150121-69155.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150122-13793.png)
;
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150122-57101.png)
,求实数m的取值范围.
【题文】集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150015-95837.png)
可表示为
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150015-53183.png)
,也可表示为
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150016-26142.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150016-87681.png)
的值为 ( )
【题文】已知集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150006-91128.png)
是函数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150006-87208.png)
的定义域,集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150006-57896.png)
是
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150007-40570.png)
的值域,则
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322150007-21212.png)
的子集的个数是( )
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