题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042901-92561.png)
(Ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-39560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-33151.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-86531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-41838.png)
(Ⅲ)证明:对任意的正整数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-91239.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-98407.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-33151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-52832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-45352.png)
解析
试题分析:(Ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-39560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-33151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042903-67964.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042901-92561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-33151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042903-93220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042903-84422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042903-98692.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042903-93026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-33151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-86531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042903-93026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-41838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042903-95792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042903-82576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042903-93026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-41838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042903-95792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042903-95792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042903-93026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042903-42836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042903-95792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042904-54201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042904-32815.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042904-68776.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042904-99468.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042905-42967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-91239.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042905-88823.png)
试题解析:(Ⅰ)定义域为(0,+∞),
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042905-36147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042905-81540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-33151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-52832.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042906-61708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042906-39702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042903-42836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042906-36375.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042906-32861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042906-29623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042907-82799.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042907-25422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042902-45352.png)
(Ⅲ)令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042907-59183.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042907-15950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042908-11954.png)
得证。(14分)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042843-69235.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042843-61630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042844-48769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042844-81787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042844-21291.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042844-48769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042844-11809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042844-38346.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042844-40154.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042845-90186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042845-59381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042845-59381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042845-30958.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042818-25095.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042818-31231.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042818-67555.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042818-93768.png)
(2)令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042818-24433.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042819-47620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042819-46546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042819-18757.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042819-17976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042819-31217.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042820-82311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042820-60843.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042804-22944.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042804-74837.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042804-51408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042804-76358.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042804-33139.png)
(2)求函数的极大值和极小值,若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042804-68357.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042805-93878.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042749-11422.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042750-61925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042750-87359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042750-18089.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042750-39426.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042750-61925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018042750-70342.png)
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