名校
1 . 已知定义域为
的函数
满足
,
的部分解析式为
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c407b426b32cce99710f7574b6041d83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f34f0b17b23212498c19b3b932bc85e.png)
A.函数![]() ![]() |
B.若函数![]() ![]() ![]() ![]() |
C.存在实数![]() ![]() ![]() |
D.已知方程![]() ![]() ![]() |
您最近一年使用:0次
2023-06-22更新
|
1451次组卷
|
6卷引用:河北省盐山中学2023届高三模拟数学试题
河北省盐山中学2023届高三模拟数学试题重庆市第八中学校2022-2023学年高二下学期7月调研数学试题黑龙江省大兴安岭实验中学(东校区)2022-2023学年高二下学期期末数学试题广东省揭阳市普宁市华美实验学校2023-2024学年高二上学期9月联考数学试题(已下线)专题02 函数及其应用、指对幂函数(5大易错点分析+解题模板+举一反三+易错题通关)(已下线)专题6 函数的零点问题(过关集训)(压轴题大全)
2023·上海·模拟预测
名校
2 . 已知
.记
,其中常数m,
.
(1)证明:对任意m,
,曲线
过定点;
(2)证明:对任意s,
,
;
(3)若对一切
和一切使得
的函数
,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9df569b67897be7670d10c7b7d06af16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e2696b1a336d7ab14b50d6ca80be95a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)证明:对任意m,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
(2)证明:对任意s,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff6e7e2b9f2b68b1647f6350b98dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d6819945aa00328aa3073e581cdfd39.png)
(3)若对一切
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636289ad84b4a3a51095dd32ca201f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed57d79c717fc8cf7ede3d9995c98359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4ff4809078ded17cd2674176342d6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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解题方法
3 . 设函数
,
,若存在实数
满足:①
;②
,③
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8b6d63ca9698b1f9d1ff2879a668ac8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3f69894b1b10520ae9aaef7e13002f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56b3a65a9d5e8d42f0ffc0c658c64dee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76bdfa588a0a2a3fd0d4cae767cfa486.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c37174dc675e0cb3af22146f8831711.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5950d5cc35344af754b18d1062b6612.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 设
且
,若在平面直角坐标系xOy中,函数
与
的图像于直线l对称,则l与这两个函数图像的公共点的坐标为______ .
![](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/c7bbb80619d6e1312fba9cd3a02c8f91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/947a492a80e26798f9570e190d0207a2.png)
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