【题文】,,且,则实数的取值范围_______________.
【题文】,,且,则实数的取值范围_______________.
题型:难度:来源:
【题文】
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142405-14148.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142405-96937.png)
,且
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142405-31943.png)
,则实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142405-57315.png)
的取值范围_______________.
答案
【答案】
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142406-21353.png)
解析
【解析】
试题分析:化简集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142406-32976.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142406-54827.png)
,因为
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142405-31943.png)
,所以
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142406-85634.png)
,解得
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142407-19010.png)
,所以实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142405-57315.png)
的取值范围为
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142406-21353.png)
.
考点:集合的运算与一元一次不等式组的解法.
举一反三
【题文】(本题10分)已知集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142349-69464.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142349-58118.png)
,若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142349-61767.png)
,求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142349-80882.png)
、
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142350-15014.png)
的值.
【题文】(本题12分)已知集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142322-87057.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142322-70356.png)
.若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142322-54064.png)
,求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142323-78851.png)
的取值范围.
【题文】(本题14分)设
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142306-70203.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142306-46896.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142306-36205.png)
.
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142307-30768.png)
,求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142307-88989.png)
的值;
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142307-71552.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142308-63547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142308-95357.png)
且
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142308-65296.png)
,求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142307-88989.png)
的值;
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142308-99601.png)
,实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322142307-88989.png)
的值.
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