名校
解题方法
1 . 已知函数
的定义域为
,
不恒为零,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82bde53de43dda74249725823c0e6610.png)
A.![]() |
B.![]() |
C.![]() ![]() |
D.若![]() ![]() |
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2024-04-15更新
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1740次组卷
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4卷引用:数学(广东专用03,新题型结构)
(已下线)数学(广东专用03,新题型结构)广东省湛江市2024届高三下学期二模考试数学试题广东省梅州市梅江区梅州中学2024届高三下学期5月高考仿真考试数学试题(已下线)模块五 专题6 全真拔高模拟6(人教B版高二期中研习)
解题方法
2 . 已知定义为
的函数
满足下列条件:①对任意的实数
都有:
;②当
时,
.
(1)求
;
(2)求证:
在
上为增函数;
(3)若
,关于
的不等式
对任意
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3840452335451407791b4832d004bbd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7fde71807463dbdfd8fce1655a5a9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb0743f82142d9de1e911f27207b130e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6afeede1e920a57feb40fc0cd66b961a.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5fb1a94e9f5c4f3487fe52a8e2fb8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66e01223698d5b603a3fab141a9fbc7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b7150f9e3024e86c74a358f499f4855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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