名校
1 . 已知函数
,其中
,设函数
的反函数为
.
(1)记函数
的导函数为
,函数
的导函数为
,若存在
满足
,证明:
;
(2)若函数
与函数
的图象有两个交点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d76ee3b131ecd6aa1aacf7fb7b3eb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(1)记函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22add663bd26e87d972a10dc5fd9ada1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c62d347a6df5562e43a4e148964ceb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d77889d413e5957d03560c366da4866.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
2 . 若一个对数函数的反函数图象经过点
,则此反函数解析式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5511a368692de27c58ec48ce968de4a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
您最近一年使用:0次
2022-12-04更新
|
264次组卷
|
2卷引用:贵州省江口中学2022-2023学年高一下学期开学考试数学试题
名校
3 . 已知函数
是函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.png)
且
的反函数,且
的图象过点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d74d706d2e4392e25016e9101d07ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dffbdc6dc7c0479261716cddd2c3f26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
2022-05-02更新
|
796次组卷
|
4卷引用:贵州省遵义航天高级中学2021-2022学年高一上学期第三次月考数学试题
贵州省遵义航天高级中学2021-2022学年高一上学期第三次月考数学试题陕西省咸阳市西北农林科技大学附属中学2022-2023学年高一上学期第二次月考数学试题(已下线)6.3 对数函数(4)(已下线)第16讲 对数函数及其性质(2)-【暑假自学课】(人教A版2019必修第一册)
4 . 下列函数中,与函数
互为反函数的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f0fadbe551b0e0eb7bf9440be740b9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
5 . 已知
的反函数为
,若
,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4cd89b48c77bec078d0a331947410e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab3658f86866560ecd6d066de34359b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffd29b2e8192d673308bdf8d5cb6cab.png)
A.-2 | B.-1 | C.2 | D.![]() |
您最近一年使用:0次
2019-11-03更新
|
490次组卷
|
2卷引用:贵州省毕节市大方县第一中学2020-2021学年高一上学期第二次月考数学试题