题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140101-18332.png)
(1) 求
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140101-57857.png)
(2)是否存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140101-59780.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140101-88296.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140101-94899.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140101-36936.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140101-59780.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140101-57857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140101-93238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140102-70398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140101-57857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140102-85460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140102-21887.png)
解析
试题分析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140102-68658.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140103-50099.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140103-98428.png)
列表如下
![]() | ![]() | ![]() | ![]() |
![]() | - | 0 | + |
![]() | ![]() ![]() | 极小值 | ![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140105-77316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140101-93238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140102-70398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140101-57857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140102-85460.png)
(2) 设
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140105-54997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140101-88296.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140101-94899.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140105-32997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140105-21181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140106-61638.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140106-75373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140106-74699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140106-73038.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140107-93739.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140107-50992.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140107-18051.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140107-12071.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140107-98849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140108-67832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140108-90368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140108-93749.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140109-94768.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140109-83607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140109-64147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140109-80229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140108-90368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140109-95494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140109-32806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140110-30328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140106-74699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140110-93923.png)
所以,a的取值范围为
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140102-21887.png)
点评:导数本身是个解决问题的工具,是高考必考内容之一,高考往往结合函数甚至是实际问题考查导数的应用,求单调、最值、完成证明等,请注意归纳常规方法和常见注意点.
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140054-32877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140055-43873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140055-66042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140054-32877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140055-66042.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140049-31830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140049-25041.png)
A.导函数![]() ![]() |
B.导函数![]() ![]() |
C.函数![]() ![]() |
D.函数![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140038-86439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140038-79457.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140038-64940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140038-52353.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140030-91655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140030-16684.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140030-93834.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140030-72837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140024-70060.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140024-28964.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140024-26845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140024-70060.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017140024-26845.png)
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