题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020807-36954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020807-40541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020807-16820.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020807-36334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020808-17718.png)
(2)在区间
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020808-67321.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020808-59535.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020808-69394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020808-80946.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020809-87490.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020809-18029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020809-54140.png)
答案
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020809-98807.png)
(3)在第一问的基础上,结合
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020810-16398.png)
解析
试题分析:解:
(1)明:设
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020810-94023.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020810-52025.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020810-15798.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020810-86240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020810-15798.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020811-89770.png)
(2):由
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020811-89447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020811-48249.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020811-47335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020812-26746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020812-99782.png)
另
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020812-53473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020812-41021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020812-12408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020813-69959.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020813-43654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020813-69523.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020813-83333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020813-83333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020814-70609.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020808-80946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020809-98807.png)
(3):由第一问得知
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020814-10064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020810-16398.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020814-90154.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020814-96944.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020815-17782.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020815-57475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020815-56479.png)
点评:解决的关键是结合导数的符号来判定函数单调性,进而得到最值,并能证明不等式,属于中档题。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020800-40797.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020800-59981.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020800-77832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020800-59981.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020800-40797.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020800-59981.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020800-17014.jpg)
A.1 | B.2 | C.3 | D.4 |
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020752-20547.png)
A.极小值-1,极大值1 | B.极小值-2,极大值3 |
C.极小值-1,极大值3 | D.极小值-2,极大值2 |
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020740-39135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020740-57750.png)
(1)讨论函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020740-42678.png)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020740-42678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020740-20281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020740-66007.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020741-10305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020741-54442.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020741-69541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020729-96610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020729-37012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020729-69845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020720-32034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020720-91409.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020720-95207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020720-60698.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020720-91409.png)
(2)设函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020720-34357.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020720-59092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020721-28644.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020721-69898.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019020720-59092.png)
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