题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004751-86917.png)
(1)求f(
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004751-12728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004751-47687.png)
(2)若f(x)=
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004752-58638.png)
(3)作出该函数简图;
(4)求函数值域.
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004751-47687.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004751-47687.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004752-22776.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004752-87705.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004752-91003.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004752-45042.jpg)
(4)y∈[0, 2]
解析
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004751-12728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004751-47687.png)
解:(1)f(
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004751-12728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004751-12728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004751-47687.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004751-47687.png)
∴f[f(-
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004751-47687.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004751-47687.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004752-22776.png)
(2)当-1≤x<0时 f(x)=-x=
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004752-87705.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004753-81964.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004752-87705.png)
当0≤x<1时 f(x)=x2=
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004752-87705.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004753-81964.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004752-91003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004752-91003.png)
当1≤x≤2时 f(x)=x=
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004752-87705.png)
综上:x=-
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004752-87705.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004752-91003.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004753-93064.jpg)
(4)y∈[0, 2]
核心考点
举一反三
A.-0. 5 | B.0.5 | C.1. 5 | D.-1.5 |
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004742-17410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004742-17243.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004742-33104.png)
的斜率是
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004742-15660.png)
(1)求实数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004742-17866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004743-50006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004743-24452.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004730-62989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004730-44641.png)
(1)若曲线
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004731-46204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004731-12828.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004731-51364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004731-15751.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004731-49175.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004731-55806.png)
(2)在(1)的条件下,试求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004732-95517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004732-58186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004732-59681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004718-98452.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004718-69954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004718-16991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004718-71068.png)
(1)若数列
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004719-13469.png)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004719-63919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004715-94682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004715-24796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004716-16133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818004716-96959.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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