名校
1 . 已知函数
,其中
为常数.
(1)当
时,解不等式
;
(2)已知
是以2为周期的偶函数,且当
时,有
.若
,且
,求函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
的反函数;
(3)若在
上存在
个不同的点
,
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db58afeac1cfe83233a8887e16f59b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940adbf54e96ecb2bb2637e5f976a3b0.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3e46371f310e03a153a1698aad9d4c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d1a94ea3c278c2197572cc1b7725b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73403af0e659b0d37e0f0b6edf269eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c76e839b5cdae2d2a269fae6f0cecad.png)
(3)若在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b20b0fbf898ae18f2efdea8be286747b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4a67c640d93f2c77e1b1c37bffbee68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd8aca43265bd67a26d37ea1a44665e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2020-01-02更新
|
955次组卷
|
10卷引用:上海市控江中学2022届高三上学期开学考数学试题
上海市控江中学2022届高三上学期开学考数学试题上海市嘉定区、长宁、金山区2019-2020学年高三上学期期末数学试题2020届上海市长宁嘉定金山高三一模数学试题2020届上海市嘉定区高三一模数学试题(已下线)热点02 函数及其性质-2021年高考数学【热点·重点·难点】专练(上海专用)上海市杨浦区控江中学2022届高三上学期第一次月考(9月)数学试题上海市浦东复旦附中分校2022届高三上学期10月月考数学试题(已下线)期末复习【过关测试】-2020-2021学年高一数学单元复习(沪教版2020必修第一册)(已下线)期末复习【真题训练】-2020-2021学年高一数学单元复习(沪教版2020必修第一册)湖南省娄底市新化县五校联盟2022-2023学年高一上学期期末联考数学试题
名校
2 . 若函数
对定义域内的每一个值
在其定义域内都存在唯一的
使
成立,则称该函数为“依赖函数”.
(1)判断函数
是否为“依赖函数”,并说明理由;
(2)若函数
在定义域
上为“依赖函数”,求实数
乘积
的取值范围;
(3)已知函数
在定义域
上为“依赖函数”,若存在实数
使得对任意的
有不等式
都成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f242e3e106bf19364bf8f3e0525b9171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc58465193457739c5c4669cb4a4ff1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d649c5834bfd736e710f1d2d31af6dc0.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a768cc949e4d1ca3effaa7f82b2156.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/471ffc289588394be699d7fbe568c49d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3329d32cc0e1148ce760d7b1dde80efe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0877194ab8760f54c35527177b03ff93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a8decc76084a2d0ef97642204faf18c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dbdd6d7c71cb25ca0a47e82e0a964b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb1b31ced770418ada76e58c14a0b93a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4780f14f756e8057bbb9a8560e3e6de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/565c2d2a85182e252b7d2cc17ad3920e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
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