题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051735-46915.png)
(1)判断
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051735-45875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051735-35922.png)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051735-55144.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051735-10171.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051735-45875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051735-35922.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051736-31784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051736-36982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051736-72273.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051736-47076.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051737-93396.png)
解析
试题分析:解(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051735-45875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051737-97608.png)
且
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051737-55049.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051735-45875.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051737-28477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051737-33614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051738-38738.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051738-87633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051738-88588.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051738-21371.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051735-45875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051736-31784.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051738-30236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051739-53528.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051739-29421.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051735-45875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051736-72273.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051735-45875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051739-65333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051739-81564.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051735-45875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051736-47076.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051736-36982.png)
所以,
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051735-35922.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051736-31784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051736-36982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051736-72273.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051736-47076.png)
(2) 由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051740-51458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051740-59039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051740-95816.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051740-69651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051740-32525.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051737-28477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051741-34986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051741-48681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051741-33945.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051741-71901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051742-84556.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051742-59867.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051742-27045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051741-71901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051742-84727.png)
所以, 当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051737-28477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051741-71901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051743-81652.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051741-71901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051739-81564.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051741-71901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051743-54028.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051743-57001.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051737-93396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051743-28729.png)
点评:主要是考查了运用导数来判定函数单调性以及函数零点的综合运用,属于中档题。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051729-66530.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051729-31902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051730-71358.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051730-88448.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051725-70158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051720-35407.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051720-78148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051720-11921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051711-51064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051711-60177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051712-95217.png)
求a、b的值;
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051712-20018.png)
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051712-41162.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051712-87234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051713-65717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051658-92743.png)
求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051658-94882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051658-94882.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051658-89407.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051658-28372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051659-90203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051659-16458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051659-86838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051659-93907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051659-19053.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051659-40924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051659-19599.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051659-16491.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018051659-86838.png)
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