11-12高三·上海·期中
1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0660a21711e04b9cd2c0427ccf6b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76120e5c37c4fc3af41b6c4151be1cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2cef3316a898f1cb539e87a5de9b2eb.png)
⑴试就实数
的不同取值,写出该函数的单调递增区间;
⑵已知当
时,函数在
上单调递减,在
上单调递增,求
的值并写出函数的解析式;
⑶若函数
在区间
内有反函数,试求出实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0660a21711e04b9cd2c0427ccf6b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76120e5c37c4fc3af41b6c4151be1cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2cef3316a898f1cb539e87a5de9b2eb.png)
⑴试就实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
⑵已知当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eda48853e8bdb7e266370b4e0d5a258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/649949df5856e5ffbd98380d073ffc50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e123eade9cf1c926ea204ea74f71f16b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
⑶若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23bdb398c53fd08b48310b6b01254413.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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12-13高三上·上海·期中
2 . 已知函数f(x)=loga(1+x)﹣loga(1﹣x)(a>0且a≠1).
(1)讨论f(x)的奇偶性与单调性;
(2)若不等式|f(x)|<2的解集为
求
的值;
(3)设f(x)的反函数为f﹣1(x),若关于x的不等式f -1(x)<m(m∈R)有解,求m的取值范围.
(1)讨论f(x)的奇偶性与单调性;
(2)若不等式|f(x)|<2的解集为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b409bb1ee5e13518a976bfa40f9154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)设f(x)的反函数为f﹣1(x),若关于x的不等式f -1(x)<m(m∈R)有解,求m的取值范围.
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10-11高一·广西桂林·阶段练习
3 . 若点(1,2)既在y=
上,又在其反函数的图象上,求
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abb0606e56d4233cc07614dbe903000d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
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4 . 已知函数
的反函数为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fc454c30c9bf809d045988f9d1f8aa4.png)
(1)若
,求实数
的值;
(2)若关于
的方程
在区间
内有解,求实数
的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee6881a170f6ef9ed5c133b95c2f448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fc454c30c9bf809d045988f9d1f8aa4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dcc0790d0c836499b1b79905074ece1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b81ef629d3fe785d708ca89acb521199.png)
![](https://img.xkw.com/dksih/QBM/2015/6/25/1572147778420736/1572147783909376/STEM/f9dad9e30af14296a6e85c9cb560fada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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