1 . 化简:
(1)
;
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cd01632a7e051c85432c4bd3aa2267.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81da26c988e6416b3c778b9709498f3f.png)
您最近一年使用:0次
名校
2 . 若函数
对定义域内的每一个值
,在其定义域内都存在唯一的
,使
成立,则称该函数为“依赖函数”.
(1)判断函数
是否为“依赖函数”,并说明理由;
(2)若函数
在定义域
上为“依赖函数”,求
的取值范围;
(3)已知函数
在定义域
上为“依赖函数”,若存在实数:
,使得对任意的
,不等式
都成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92365662df7a3badcfaa2bcd0b54bffe.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c86ec4ffba69df637d15be893deb46e.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da5bf1fbb7d7339058beb960a4c6ae5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67417af99db3ea6103a47cc3ca888069.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc23f8d012aeaf9ee20a2fe375ccc1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851ba83b36dc51cbe6711b4dfaf1781e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69ef8712fdc2c58083c0d9844d8f5c89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51159984b2cb00f30b3986315019623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eaaf57bdb80bd7cfe4abe1cf06a369c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
您最近一年使用:0次
3 . 已知函数
是R上的偶函数.
(1)求常数m的值;
(2)若
,求x的值;
(3)求证:对任意
,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e662ac65a8888d53333b6e90457dc389.png)
(1)求常数m的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02e4fbda8319948741fd3e7fefbe456.png)
(3)求证:对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d200a7afe1e011713e14886a6887e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29a7901661c71b40b5601ad0c0f6dacc.png)
您最近一年使用:0次