1 . 已知函数
(其中
且
),
是
的反函数.
(1)已知关于
的方程
在
上有实数解,求实数
的取值范围;
(2)当
且
时,关于
的方程
有三个不同的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db115ce8f2717590c9534b7671df9cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7661d3fc28f785b438ad8c8f9d240a.png)
(1)已知关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5382d0907b8a792801dd4af252154d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d0b969f58a09dff5c32b43219e2080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc49e4ceb04c063b10761d58170453cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-03-23更新
|
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3卷引用:辽宁省营口市2022-2023学年高一上学期期末教学质量监测数学试题
辽宁省营口市2022-2023学年高一上学期期末教学质量监测数学试题辽宁省营口市2022-2023学年高一下学期开学考试数学试题(已下线)第四章 指数函数与对数函数(压轴题专练)-速记·巧练(人教A版2019必修第一册)
名校
2 . 若函数
的反函数记作为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fc17ebcc65ea1a67ba1eabe2b0edab1.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de5a6a753dd9af91c0937f8b388add3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d6b59f4796a45963dea76b89c72bea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fc17ebcc65ea1a67ba1eabe2b0edab1.png)
您最近一年使用:0次
名校
3 . 函数
的反函数为__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f59a497abde516b9fe98a9833d61a6ac.png)
您最近一年使用:0次
4 . 已知函数
为
的反函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ebfbd16965e214e84a525306e57d9c.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc5bbf1426b9fa7c4d49659797ef34ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ebfbd16965e214e84a525306e57d9c.png)
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3卷引用:第16讲 对数函数及其性质(1)-【暑假自学课】(人教A版2019必修第一册)
(已下线)第16讲 对数函数及其性质(1)-【暑假自学课】(人教A版2019必修第一册)福建省泉州市2022-2023学年高一上学期期末教学质量监测数学试题福建省福州市马尾第一中学2023-2024学年高一上学期期末模拟数学试题
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解题方法
5 . 已知函数
是函数
(
且
)的反函数.
(1)若a=3,解方程
;
(2)若
在区间![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
上的值域为
,求实数p的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)若a=3,解方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4fc7389530aafb8b10f170fb8d30d7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f25990e1d373ac30d7480633e47cc1ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc00a8392b5bcd2886cdf7ec530d626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ba65384cf437b118cd17b9968d42ef.png)
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6 . 已知函数
为函数
的反函数,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc5bbf1426b9fa7c4d49659797ef34ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0123042382d97884546f30e8e0c3be7e.png)
A.1 | B.2 | C.3 | D.4 |
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2023-02-21更新
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2卷引用:山东省青岛市西海岸新区2022-2023学年高一下学期调研检测(分科考试)数学试题
解题方法
7 . 已知函数
,
(
且
),且
.
(1)求实数a的值;
(2)设
,
,
(
的反函数),当
时,试比较
,
,
大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369efe9799ca38ec7940cdd18c1c3fda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a84518e68c9e73dee93a8a3cafce4d26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ec93c28346da63c7eb6e894937977c.png)
(1)求实数a的值;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85e21cbaae53db40485165c26864c46f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae49ac1b38c486b9d5c8fcba91259a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae56bd2fd434a26eb5c7c632410c8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f05f89e726bc6bc77463034e0654cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047056c99b39c70fa40d3c8178e5b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c7eb49a823f757461cd5260757b088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd84a8f95166367063218ee03ffd5a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8db31d2bbc9b044646fd026f239e7b62.png)
您最近一年使用:0次
名校
8 . 已知函数
与
互为反函数,记函数
.
(1)若
,求x的取值范围;
(2)若
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc5bbf1426b9fa7c4d49659797ef34ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c3b214e8326bdf7b17fb7911a6818f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fa38ca27c6c0c40d5e36b2ae4fb7ba7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbb01a7f5e9861aa185c6c63fcd58c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
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2023-02-19更新
|
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9卷引用:四川省遂宁市2022-2023学年高一上学期期末数学试题
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9 . 函数
与
的图像关于直线
对称,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72253d846d8750db2bf695df99c53f3e.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72253d846d8750db2bf695df99c53f3e.png)
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10 . 函数
的反函数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a3fe61fe0c99b21a08587196c61a3f0.png)
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2023-02-13更新
|
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6卷引用:上海市复旦大学附属中学2022-2023学年高一上学期期末数学试题
上海市复旦大学附属中学2022-2023学年高一上学期期末数学试题(已下线)5.4 反函数-数学同步精品课堂(沪教版2020必修第一册)(已下线)专题16反函数-【倍速学习法】(沪教版2020必修第一册)(已下线)专题01幂函数、指数函数与对数函数全章复习攻略与难点强化训练(2)-【寒假自学课】(沪教版2020)(已下线)专题02函数的概念、性质及应用全章复习攻略-【寒假自学课】(沪教版2020) 上海市上海师范大学附属中学宝山分校2023-2024学年高一上学期期末数学试卷