名校
解题方法
1 . 设
.
(1)若不等式
对一切实数
恒成立,求实数
的取值范围;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff54dcbe5622a24540cb340d7cf1f1d.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b144a61837c06413af8d51d2ce7ded70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cbb4b1d20128228ff4cd1a7efd1115e.png)
您最近一年使用:0次
2023-10-18更新
|
325次组卷
|
2卷引用:辽宁省鞍山市第一中学2023-2024学年高一上学期10月月考数学试题
2 . 定义在
上的函数
满足条件:
对所有正实数
成立,且
,当
时,有
成立.
(1)求
和
的值;
(2)证明:函数
在
上为单调递增函数;
(3)解关于
的不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a141e697b1a31a9a4e759984e899a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97b02cc48dab7860567b6c7762b2e87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99d002d8423808d081345bdac6c25f07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e92e622e0dbd757c15afd02e7337254c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0065a63123e2cf222ce7babc7bd43ee1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74156327e5659301f391814605688899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88d75967b4ca5e79d2493d1eac59d230.png)
(2)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a141e697b1a31a9a4e759984e899a5.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/261fd712eefc15bff59d5a214dc10a17.png)
您最近一年使用:0次