题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043801-52398.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043801-56120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043802-84098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043802-24864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043802-15891.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043802-15891.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043802-15891.png)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043802-84098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043802-59619.png)
(3)若对任意
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043802-89169.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043803-70284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043803-64408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043802-24864.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043803-45877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043803-27240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043803-94252.png)
解析
试题分析:(Ⅰ)因为
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043804-93778.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043804-20683.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043803-45877.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043804-98306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043804-24462.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043805-85555.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043805-22455.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043802-84098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043801-56120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043805-10228.png)
(Ⅱ)当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043805-61696.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043805-22455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043806-53709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043806-53495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043806-54442.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043806-38206.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043806-74782.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043807-46138.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043807-17123.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043807-91321.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043807-98402.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043804-24462.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043806-53495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043807-74037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043807-20802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043805-22455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043806-53495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043808-50800.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043808-30158.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043808-94900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043806-53709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043804-24462.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043806-53495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043806-54442.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043809-65665.png)
综上所述
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043803-27240.png)
(Ⅲ)因为
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043809-36050.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043803-70284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043803-64408.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043809-54520.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043809-54835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043810-96334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043810-18928.png)
而
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043810-96334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043810-90712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043810-23575.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043803-94252.png)
点评:求函数极值最值主要是通过函数导数寻找单调区间求其值,本题第二问有一定难度,主要是对区间
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043810-13181.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043758-94513.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043758-94513.png)
A.(1,+∞) | B.![]() |
C.(-∞,1) | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043754-82700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043754-76201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043755-23433.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043755-40673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043755-40673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043755-75842.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043755-59265.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043755-40673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043755-51104.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043755-23433.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043746-60065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043746-74896.png)
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043746-50224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043746-79841.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043747-52260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043747-51271.png)
(3)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043747-13766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043747-72845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043747-26768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043747-41764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043742-35201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043742-78938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043742-95835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043742-35201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043742-82866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043742-80292.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043743-95188.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043743-64059.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043743-31600.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043736-42579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043736-70750.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043736-62587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043737-24569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818043736-42579.png)
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