题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130803-18647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130803-86368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130803-65335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130804-35636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130803-65335.png)
(Ⅰ)、求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130804-59786.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130804-77211.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130804-49681.png)
(Ⅱ)、设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130804-31784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130805-96020.png)
答案
解:(Ⅰ)、
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130805-53277.png)
由题意得,
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130805-31257.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130805-87090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130806-82451.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130806-80906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130806-11312.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130806-11068.png)
(Ⅱ)、由(Ⅰ)得
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130807-55374.png)
于是
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130807-57428.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130807-35413.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130807-31696.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130808-37065.png)
所以函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130805-96020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130808-58937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130808-71849.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130808-26795.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130808-60029.png)
所以函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130805-96020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130809-94895.png)
解析
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130750-22213.png)
(1) 当a =" –" 1时,求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130751-15238.png)
(2) 对一切
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130751-85517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130751-80909.png)
(3) 证明:对一切
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130751-51372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130751-34818.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130738-27615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130738-19774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130738-26404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130738-98240.png)
(1)求m、n的值;
(2)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130739-13179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130739-94725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130720-53995.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130721-35888.png)
(Ⅰ) 求实数a的取值范围;
(Ⅱ) 若x1∈(0,1),x2∈(1,+
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130721-63072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130721-35888.png)
注:e是自然对数的底数.
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130705-36176.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130705-74814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130705-75386.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130706-62442.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130706-71862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130706-71447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130706-63543.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130648-13408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130648-82617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130649-84458.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130649-31385.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130649-34246.png)
(2)试判断关于
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130649-31952.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130650-90565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018130650-21204.png)
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