1 . 已知函数
.
(1)证明:
为偶函数;
(2)用定义证明:
是
上的增函数;
(3)求满足不等式
的
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33e1e658f5fe3aeb43b98c2cadfb0b1.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)用定义证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2a5e336b6bcba6354fd366c892dd06.png)
(3)求满足不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa11968441f80225225f81c9789345c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
2021-02-01更新
|
368次组卷
|
2卷引用:北京市通州区2020-2021学年高一上学期期末数学试题
2 . 若实数
满足
,则称
比
远离
.
(1)比较log20.6与20.6哪一个远离0;
(2)已知函数f(x)的定义域
,任取
,
等于
和
中远离0的那个值,写出函数
的解析式以及
的三条基本性质(结论不要求证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d32d4403d0e81eacfbe429dc51f07f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9965755486b6b0887a2fcd0dc16e702b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)比较log20.6与20.6哪一个远离0;
(2)已知函数f(x)的定义域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f07521bf5c02e0f01fcead90a529d45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a48345d239aaf8e9ca1ff2846c08a99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66db91bb3be9e2b6ad567774e3699758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次