名校
解题方法
1 . 已知函数
,且
与函数
互为反函数.
(1)若
的图象过点
,解不等式:
;
(2)在(1)的条件下,若对于任意
,都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ede877f4dfa6b0a9a4c2e749e8fc27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081cd41dab0f2a8f84b0e9f1df4843fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c54be9f6467a93e5dbd53d458fe730a3.png)
(2)在(1)的条件下,若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8182356e4323a4dfe5ceb83caf347cd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2cd38c1c5561866cca19ef960e979bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2 . 已知函数
,函数
.
(1)若关于
的方程
在区间
上有实数根,求实数
的取值范围;
(2)设
的反函数为
,且
,
,若对任意的
,均存在
,满足
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc4e3775c850f1c1804f9eb7a70153a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aaad3d9cb6d255f56ebe50da13afd9a.png)
(1)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39dccadd8bb99cec36d9e38f6eeda7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30a5498bb0236a2bb04ae38329b408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc4e3775c850f1c1804f9eb7a70153a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c97d54952104950bfd7afc0176bbd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e0ec5ffcb7f5aa32e86cb45a3bf5dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09315dcca4d04baf5da46cd964520d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6f7c07f0975cacde1af4063ef8ad01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fba145810f7d05dbe04bf9bcb37abec8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a00d792d31a8f406f713737cf6582dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
3 . 已知函数
,其反函数为
.
(1)定义在
的函数
,求的最小值;
(2)设函数
的定义域为D,若
有
,且满足
,我们称函数
为“奇点函数”.已知函数
为其定义域上的“奇点函数”,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eaeb2ab68a49074d623ffca072fed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(1)定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829f3fc2a6b50f762c8378283b56023f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bcdd85eef364a409be967e1698de402.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf91726683a3963e941231877c8c6ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92cee8296180434323233402cad0567c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf26cb0612e3afd9fe70bbfa46975c51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5fb9800455c336e959df326d338344.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf91726683a3963e941231877c8c6ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2108516d42502d76629dd99dd9411cc7.png)
您最近一年使用:0次
2022-12-12更新
|
213次组卷
|
4卷引用:山东省德州市第二中学2022-2023学年高一上学期第二次阶段性检测数学试题
2011高三上·山东菏泽·专题练习
名校
4 . 已知函数
的反函数为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42cf9602c5ada6f82c7b3da8149e6ba5.png)
(1)若
,求
的取值范围
;
(2)设函数
,当
属于(1)中的
时,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d900b106c2b44b211c60b0ba9c2cf6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42cf9602c5ada6f82c7b3da8149e6ba5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9416ac98417dbc7c15879a88810e0154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bbb2a42f956f28e09d89f166ea23bc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
您最近一年使用:0次
2019-11-09更新
|
365次组卷
|
5卷引用:2012届山东省郓城一中高三数学10月单元练习(函数一)
(已下线)2012届山东省郓城一中高三数学10月单元练习(函数一)2016届黑龙江省齐齐哈尔市实验中学高三上期中文科数学试卷上海市高桥中学2018-2019学年高一上学期期末数学试题上海市格致中学2016-2017学年高一上学期期末数学试题(已下线)第4章+幂函数、指数函数与对数函数精讲精练-2020-2021学年高一数学期末考试高分直通车(沪教版2020,必修一)