题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171231-72714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171231-81814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171232-40067.png)
值点,其中
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171232-35624.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171232-90291.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171232-27243.png)
(Ⅱ) 若
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171232-24539.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171233-62561.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171233-61786.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171233-62561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171233-69522.png)
解析
试题分析:(Ⅰ)解:函数
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171233-77873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171233-83409.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171234-21930.png)
依题意,方程
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171234-70198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171234-98889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171234-16088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171234-13553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171235-26411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171235-48602.png)
所以,
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171235-82273.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171235-37656.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171232-27243.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171233-61786.png)
(Ⅱ)解:当
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171235-21090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171236-29668.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171236-69740.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171236-62605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171236-69866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171236-14965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171237-39982.png)
构造函数
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171237-70763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171237-78151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171237-91942.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171237-43478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171238-59965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171238-32010.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171233-62561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171233-69522.png)
点评:本题通过导数在最大值、最小值问题中的应用,考查学生分析解决问题的能力,属于中档题.
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171228-32830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171228-18900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171228-15410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171228-65944.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171228-96255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171229-84102.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171225-85526.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171220-54990.png)
A.[1,2)∪(2,+∞) | B.(1,+∞) | C.[1, 2) | D.[2,+∞) |
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171216-52345.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171216-76500.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171216-24064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171216-11447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171217-36649.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817171213-25281.png)
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