【题文】关于x的方程,在上有解,则实数a的取值范围是( )A.B.C.D.
【题文】关于x的方程,在上有解,则实数a的取值范围是( )A.B.C.D.
题型:难度:来源:
【题文】关于x的方程
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202243-59978.png)
,在
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202243-13396.png)
上有解,则实数a的取值范围是( )
答案
【答案】C
解析
【解析】
试题分析:当
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202244-21269.png)
时
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202245-73825.png)
,要使
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202243-59978.png)
有解,
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202245-63575.png)
的值域必须为
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202245-53285.png)
,即
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202245-25323.png)
解不等式可得
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202245-48718.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202244-83152.png)
.
考点:含参函数值域.
举一反三
【题文】函数
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202229-13530.png)
的值域为( )
A.[0,3] | B.[-1,0] | C.[-1,3] | D.[0,2] |
【题文】函数
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202215-42931.png)
的定义域为
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202215-59385.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202215-66022.png)
.
(1)求集合
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202215-59385.png)
;
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202215-43478.png)
,求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202216-49766.png)
的取值范围.
【题文】函数f(x)=
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202156-63124.png)
+
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202157-57355.png)
的定义域为( )
A.[-2,0)∪(0,2] | B.(-1,0)∪(0,2] | C.[-2,2] | D.(-1,2] |
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