名校
解题方法
1 . 对于在区间
上有意义的函数
,若满足对任意的
,
,有
恒成立,则称
在
上是“友好”的,否则就称
在
上是“不友好”的.现有函数
.
(1)当
时,判断函数
在
上是否“友好”;
(2)若函数
在区间
上是“友好”的,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09760796d5ac6dfe5593fff41264b46c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1a8c69aaecfbe4d8bd7cf01a3b79c50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d92faa63f0f0b144600e077009eb956e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23980be9e2a5c9b855d58cee4b5b860e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
2 . 已知函数
,对于任意的
,都存在
,使得
成立,则实数m的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a4639effe7da795003cedebfd2ec50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a49684ba67f71171321586f1a77ad4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9bc8f11fd77a832e2f16e0387523c4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/378fc033d7265ba88fc76214733e2fac.png)
您最近一年使用:0次
2022-06-08更新
|
1808次组卷
|
7卷引用:浙江省余姚中学2023-2024学年高二下学期期中考试数学试题