题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141303-31075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141303-46556.png)
⑴若
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141304-97226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141304-20116.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141304-91517.png)
⑵若对
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141304-61773.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141305-89412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141304-91517.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141305-61785.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141305-75452.png)
解析
试题分析:、①
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141305-26077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141305-61785.png)
②
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141306-52851.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141306-89005.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141306-75733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141306-11029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141306-52781.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141307-99793.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141307-25357.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141306-75733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141307-39667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141307-66362.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141308-38413.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141308-13838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141308-98980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141308-25733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141309-14246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141309-20940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141309-60462.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141309-97232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141310-33554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141310-74482.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141310-71588.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141308-25733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141309-20940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141306-75733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141310-27726.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141307-66362.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141310-71588.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141305-75452.png)
点评:解决该试题的关键是利用导数的极值的含义,确定导数为零点,进而得到解析式,同时利用不等式的恒成立,转化为求解最值,是转化思想的考查,中档题。
核心考点
举一反三
设函数
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141254-42252.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141254-87713.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141254-54280.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141254-81801.png)
(1)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141254-58647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141255-23294.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141255-15826.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141254-58647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141255-87088.png)
(3)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141255-40250.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141254-81801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141240-30731.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141240-86830.png)
A.-2 | B.-1 | C.1 | D.2 |
设函数
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141223-72674.png)
(1)对于任意实数
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141223-59284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141224-75215.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141224-26979.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141224-25678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141224-23442.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141225-21046.png)
(2)若方程
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141225-70742.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141225-29499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141225-36551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141213-49973.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141213-28789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141213-66497.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141214-61150.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141156-82906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141156-53130.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141157-91007.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141157-72010.png)
A.
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141157-58517.png)
B.
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141157-45239.png)
C
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141158-39100.png)
D.
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017141158-13928.png)
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