题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050938-42292.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050938-28043.png)
(1)讨论
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050939-61878.png)
(2)若对任意的
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050939-81103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050939-43969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050939-66102.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050940-75968.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050940-51431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050940-86732.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050940-20052.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050940-60343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050941-53310.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050941-93577.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050941-22901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050941-82972.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050941-53310.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050941-22901.png)
解析
试题分析:(1)根据题意,由于
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050941-58020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050942-51211.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050940-51431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050940-86732.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050940-20052.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050940-60343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050941-53310.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050941-93577.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050941-22901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050941-82972.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050941-53310.png)
(2)根据题意,由于对任意的
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050939-81103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050939-43969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050939-66102.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050942-74803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050941-22901.png)
点评:主要是考查了导数判定函数单调性,以及分类讨论思想的运用,属于中档题。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050923-85307.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050923-35652.png)
(Ⅰ) 当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050924-93733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050924-84174.png)
(Ⅱ) 当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050924-32637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050924-84174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050924-98543.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050924-50650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050900-44372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050900-40906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050900-97398.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050900-39673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050900-73927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050900-17560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050900-73927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050900-97398.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050900-17560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050900-30951.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050900-39673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050842-27207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050842-25489.png)
(1) 当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050842-45899.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050842-92854.png)
(2) 当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050842-39761.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050842-92854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050843-73540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050843-54199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050843-52600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050833-38025.png)
(II)若不等式
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050834-40480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050823-67672.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050823-79261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050823-62569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050823-59714.png)
(Ⅱ)设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050823-23788.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050823-21101.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018050824-21993.png)
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