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解题方法
1 . 已知
是定义在
上的奇函数.
(1)求
的值;
(2)判断
在
上的单调性,并用定义证明;
(3)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6f9b8202451375dddc577c0964d38e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2f7d061ccc00e8f410fc840fe7cc57c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-10-22更新
|
4729次组卷
|
6卷引用:山东省2021年冬季普通高中学业水平合格性模拟考试数学试题
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2 . 设函数
是R上的增函数,对任意x,
,都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/853866021cf621b3616b85e4bf4940c7.png)
求
;
求证:
是奇函数;
若
,求实数x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c10570c017a8e9ced002591abf78bc2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/853866021cf621b3616b85e4bf4940c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34a77c4d65f01e583b2f6c5ea97c3e5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4bb89a362c1faf4d0c306eabbb59710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16e90ab04e58c5c6f164b401e6539c4.png)
您最近一年使用:0次
2018-12-10更新
|
950次组卷
|
4卷引用:广东省广外实验2021-2022学年高一上学期期中数学试题
11-12高一上·四川攀枝花·阶段练习
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3 . 已知
是定义在
上的函数,当
时,
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd522b593f298eefe8bcdee91eaa16f.png)
(1)求
的值;
(2)证明:
在
上为增函数;
(3)若
,求满足不等式
的
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd522b593f298eefe8bcdee91eaa16f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce6155e181e21ce56ea658b70f8af17.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6777ed85586d16f88241c238662ec32b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c9533e16e5ed74e1d73b0a0095ea37d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次