名校
解题方法
1 . 若函数
满足:对任意正数
,都有
,则称函数
为“H函数”.
(1)试判断函数
与
是否为“H函数”,并说明理由;
(2)若函数
是“H函数”,求实数a的取值范围;
(3)若函数
为“H函数”,
,对任意正数s、t,都有
,
,证明:对任意
,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b056a90a2751f04ba5fff3dc5c1d0674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17dfefdc8541c51ae463de8b36086374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)试判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a04e15196ce905f578e53b845242ee30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0793207b5a6162ba631291f6598bb5.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f51c8abc2b4eddcbb2ff770c74f62d.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4028ed0e84791a6da036d71af685b63d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5afc7ce5b1f3ac621c3bc08b4e243278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ddd19fd5d1d779501b8adecaf3e938d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219598f1289ddb370d632ea141731d52.png)
您最近一年使用:0次
名校
2 . 已知函数
在区间
上有最小值1,最大值9.
(1)求实数a,b的值;
(2)设
,若不等式
在区间
上恒成立,求实数k的取值范围;
(3)设
),若函数
有三个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96cac9813c567a22932fa8088a17e3a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0408b9502dcc197dcf528337ef0b617b.png)
(1)求实数a,b的值;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6e28dbfcdd6fb66b9ff759be044287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7814d14b124dba3ba638bac2e52a6c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acac63dbda154e66116b89c709526f4a.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6a33278f3f37de247b146d8ffd463d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2020-02-17更新
|
1564次组卷
|
2卷引用:吉林省吉林市吉化第一高级中学2019-2020学年高一上学期期末数学试题