1 . 已知函数
.
(1)判断
的奇偶性,并证明.
(2)利用单调性的定义证明:
在
上单调递增.
(3)若函数
在
上是增函数,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af6ed6c4e39571798aac84c6d2bb7565.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)利用单调性的定义证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0b837c98c5741dd16b50734e5c25556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de71d25c72850e383a4c841eed0db99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2 . 已知函数
,
.
(1)若
,证明:
在
上单调递增;
(2)若
在
上是单调的,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e37433974f629e5d761af8e278605630.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-11-14更新
|
139次组卷
|
2卷引用:广东省顺德区德胜学校2023-2024学年高一上学期期中数学试题
名校
解题方法
3 . 已知定义在
上的函数
满足:①对任意的
,都有
;②当且仅当
时,
成立.
(1)求
;
(2)用定义证明
的单调性;
(3)若对
使得不等式
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd29ef32d9bc2e32ef2b8639b57dc9a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb3491851f0ca81d2649b5c7b5e41170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cb07fc041df359b25b6b47bcc4d024e.png)
(2)用定义证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
(3)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87008291cdba83461d58dbc9426d777.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb1a0e74cdd1b88109f7da0c9d5d8a72.png)
您最近一年使用:0次
2022-12-09更新
|
1448次组卷
|
6卷引用:广东省汕头市六都中学2023-2024学年高一上学期期中数学试题