题目
题型:解答题难度:一般来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062445-98977.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062445-71868.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062445-69531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062445-71868.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062445-30112.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062446-14134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062445-71868.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062446-51337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062446-56045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062446-44437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062446-56045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062446-23774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062446-44437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062447-21614.png)
解析
试题分析:(1)本题通过换元转化为二次函数最值问题,再利用单调性求最值,从而得到函数值域;(2)某区间上的二次函数最值问题,要进行配方,确定对称轴,弄清单调性,才能求解.如果对称轴不确定,要进行分类讨论来解决.
试题解析:设
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062447-65674.png)
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062447-65807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062447-44256.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062447-31855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062448-50733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062446-51337.png)
(2)①当
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062448-58711.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062448-87528.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062448-86016.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062449-72621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062449-32316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062449-75941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062449-67953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062449-48810.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062450-50527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062450-89928.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062450-50363.png)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062450-94185.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062451-59419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062449-72621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062451-86226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062449-75941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062451-73561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062451-77174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062451-85203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062451-45429.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062452-46705.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062452-15316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062452-49564.png)
综上,
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062446-56045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062446-44437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062446-56045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062446-23774.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062446-44437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062447-21614.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062440-54346.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062440-26218.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062440-73314.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062441-90788.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062437-48541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062437-91380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062437-91380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062431-39386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062432-11152.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062432-13258.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062432-82743.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062432-35750.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062432-46271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062432-12438.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062433-27990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062433-96513.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062426-44008.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062426-91194.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062422-97987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062422-99598.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062422-50910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062423-43233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820062423-93987.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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