题目
题型:解答题难度:一般来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052432-86179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052432-15945.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052432-80906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052432-57764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052432-81387.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052432-32433.png)
(1)取一个对数函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052433-60125.png)
(2)对于满足条件①,②,③的一般函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052432-86179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052432-86179.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052433-20622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052433-43605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052433-24685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052433-44924.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052434-26773.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052434-97001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052434-75331.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052434-73791.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052435-37252.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052433-60125.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052432-86179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052435-49585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052432-86179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052435-49585.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052433-60125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052432-80906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052433-24685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052433-44924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052432-32433.png)
解:(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052433-20622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052433-43605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052433-24685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052433-44924.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052435-97965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052434-97001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052434-75331.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052434-73791.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052435-37252.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052433-60125.png)
(2)这样的函数是奇函数.
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052435-63486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052435-36934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052436-29426.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052436-20396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052436-28800.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052432-86179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052435-49585.png)
这样的函数是减函数.
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052436-91506.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052436-73301.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052437-72818.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052437-78974.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052437-86115.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052436-28800.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052432-86179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052435-49585.png)
核心考点
试题【已知函数满足:①定义在上;②当时,;③对于任意的,有.(1)取一个对数函数,验证它是否满足条件②,③; (2)对于满足条件①,②,③的一般函数,判断是否具有奇偶】;主要考察你对函数的单调性与最值等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052430-82681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052430-25503.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052430-81058.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052427-18766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052428-50088.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052425-16285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052426-54521.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052426-78835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052426-92514.png)
A.最大值![]() | B.最小值![]() |
C.最大值![]() | D.最小值![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052423-48925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052423-37847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052423-15796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052424-62423.png)
( )
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052421-25653.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052421-69478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052422-55183.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052422-82103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818052422-87378.png)
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