1 . 已知
,
,
均为正数,
,
,
,则
,
,
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/322ffe625133a1bbc5517813b02943d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b0b5f40988de5757d47ce219b97533d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c61732e3a7dffdf8385172f2bd1500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-27更新
|
637次组卷
|
7卷引用:四川省广安市2024届高三第二次诊断性考试数学(文)试题
名校
解题方法
2 . 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
3 . 已知
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32948c2975e7f3ef1227fc2dc05c7c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14061f0d3b3eacbe2733835c8aa27d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c43f216d0dd092c35d7d149f865ed88d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
4 . 已知函数
,若关于
的方程
至少有8个不等的实根,则实数
的取值不可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/493c8251e56eb160422746e18c99c0a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc82b06c4a1878a920fe6e21f98a4ce2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.-1 | B.0 | C.1 | D.2 |
您最近一年使用:0次
解题方法
5 . 已知函数
,
(
),
(
),给出下列四个命题,其中真命题有________ .(写出所有真命题的序号)
①存在实数k,使得方程
恰有一个根;
②存在实数k,使得方程
恰有三个根;
③任意实数a,存在不相等的实数
,使得
;
④任意实数a,存在不相等的实数
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cadebb70692c30a7f36d61a9fcd8ba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bea9253df81a260c467b1356513b9616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a67a214de42b8a415fbd557d692ac09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36b234ba460321e811de1729eadd4b6.png)
①存在实数k,使得方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3308371d2c15d86eff4135bd7b766b2d.png)
②存在实数k,使得方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3308371d2c15d86eff4135bd7b766b2d.png)
③任意实数a,存在不相等的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/120dd116a3db060b42d4acf300214f0f.png)
④任意实数a,存在不相等的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a8d3f7620f46eb566b4aa63b9bd8e27.png)
您最近一年使用:0次
2022-03-30更新
|
1555次组卷
|
2卷引用:河南省郑州市2022届高三第二次质量预测理科数学试题
名校
6 . 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
|
1563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