【题文】函数的值域为( )A.[0,3]B.[-1,0]C.[-1,3]D.[0,2]
【题文】函数的值域为( )A.[0,3]B.[-1,0]C.[-1,3]D.[0,2]
题型:难度:来源:
【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] |
答案
【答案】C.
解析
【解析】
试题分析:二次函数
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202229-19607.png)
,其对称轴为直线
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202230-10548.png)
,故要使
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202231-50840.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202231-29714.png)
,∴
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202231-19085.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202231-88755.png)
上的值域为
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202232-19298.png)
.
考点:二次函数的值域.
举一反三
【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] |
【题文】
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324202134-58272.png)
的定义域为
;
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