题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191154-40267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191154-87767.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191154-95848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191155-50688.png)
(2)试讨论
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191154-95848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191155-33287.png)
答案
(2)根据第一问的结论,那么结合单调性来得到最值。
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191155-22278.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191155-81347.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191155-35408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191156-93631.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191156-84389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191156-41820.png)
解析
试题分析:解:(1)根据题,由于
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191156-35479.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191155-50688.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191155-50688.png)
(2)由上可知,那么需要对于参数a进行分情况讨论,
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191155-22278.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191155-33287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191155-81347.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191155-35408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191156-55343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191157-73604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191157-56373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191156-93631.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191156-84389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191155-33287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191156-41820.png)
点评:主要是考查了函数单调性的定义以及运用,属于中档题。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191146-70557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191146-40671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191146-36782.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191147-12106.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191119-82383.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191120-73206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191120-28709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191120-50841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191119-82383.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191120-36455.png)
A.增函数且![]() | B.减函数且![]() |
C.增函数且![]() | D.减函数且![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191108-65204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191108-24226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191109-35930.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191109-51667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191108-24226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191108-65204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191108-65204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191109-90694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191109-77529.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191109-77490.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191109-77529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191110-85635.png)
(2)讨论
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191110-91596.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191109-77529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191039-64306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191040-77976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191040-34553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204191040-24744.png)
A.![]() | B.![]() | C.![]() | D.R |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204190951-59172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204190951-62817.jpg)
A. B. C. D.
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