名校
1 . 已知函数
是奇函数,且
,若对
,
恒成立,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/185004fb3c8e654487662eaf199fe0c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83998918252817c075189645a952cab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a024e70f58968a8a471610bce284264f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-05-05更新
|
423次组卷
|
2卷引用:2019届湖南省长沙市雅礼中学高三下学期5月高考适应性考试理科数学试题
名校
解题方法
2 . 如果函数
的定义域为
,对于定义域内的任意
存在实数
使得
成立,则称此函数具有“
性质”.
(1)判断函数
是否具有“
性质”,若具有“
性质”,写出所有
的值;若不具有“
性质”,请说明理由.
(2)设函数
具有“
性质”,且当
时,
,求当
时函数
的解析式;若
与![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cca39b30b0b8e769293e13546b91f35.png)
交点个数为1001个,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fa3b92df8c75839b421bd3f9c974f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e91a18862bb48be69b5b72d2125d358a.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e91a18862bb48be69b5b72d2125d358a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e91a18862bb48be69b5b72d2125d358a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e91a18862bb48be69b5b72d2125d358a.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc6e69ad1a27916fb5c3d5901ded134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86c2570913b742194ae5cbb698d37d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b06ba630c1ea702753cb6bbc8099aafd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00b96007d1cc4e155fde29767203b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc6e69ad1a27916fb5c3d5901ded134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cca39b30b0b8e769293e13546b91f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f79b8690c922e042e422cda331fbdfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
,且
.
(1)求
的解析式;
(2)已知
的定义域为
.
(ⅰ)求
的定义域;
(ⅱ)若方程
有唯一实根,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b387fd7ffd8b00ba7ffc72438e9abec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b4ed4485745f1d259a3953c242b9cf2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1215d01764a3b041d2f4497806da95d.png)
(ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7d3a7a3a47355fe9b29a58f1574079f.png)
(ⅱ)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e255cb0217bed61e6ed29d5f139365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2020-02-14更新
|
531次组卷
|
3卷引用:湖南省长沙市第一中学2020-2021学年高二上学期入学考试数学试题
真题
名校
4 . 对定义域
的函数
,
,规定:
函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa65bd65401e3ba6873eb7b8115cf2a7.png)
(1)若函数
,
,写出函数
的解析式;
(2)求问题(1)中函数
的值域;
(3)若
,其中
是常数,且
,请设计一个定义域为R的函
数
,及一个
的值,使得
,并予以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0606be557187bb410105f7c9e7df32b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa65bd65401e3ba6873eb7b8115cf2a7.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec5c8dcdeb8d4250a258a2f9fee0948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c4473159277aed64ea96c4af087954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
(2)求问题(1)中函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/810a58271edb9c987cb9f8bcb562c70c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d204082daeea4b4a5b8396ebf2b80e9e.png)
数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/520521462cf21c660b7a28a7d39448fb.png)
您最近一年使用:0次
2016-12-04更新
|
1216次组卷
|
9卷引用:湖南省常德市石门县一中2017届高三上学期8月单元测理科数学试题
湖南省常德市石门县一中2017届高三上学期8月单元测理科数学试题上海市交通大学附属中学2017-2018学年高一下学期开学考试数学试题沪教版(上海) 高三年级 新高考辅导与训练 第一章 集合与函数 三、指数函数与对数函数广西南宁市第三中学2019-2020学年高一下学期期末考试数学试题广西南宁三中2019-2020学年高一(下)期末数学试题2005年普通高等学校招生考试数学(理)试题(上海卷)(已下线)课时12 函数的概念、函数关系及运算-2022年高考数学一轮复习小题多维练(上海专用)沪教版(2020) 一轮复习 堂堂清 第三单元 3.4 二倍角及半角的三角公式(已下线)专题02 函数的综合应用-1
9-10高三·湖南湘潭·阶段练习
名校
解题方法
5 . 已知二次函数
对
都满足
且
,设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/079f277788b447aabb0b527020dc20a4.png)
(
,
).
(1)求
的表达式;
(2)若
,使
成立,求实数
的取值范围;
(3)设
,
,求证:对于
,恒有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb38ca84b4eadbe4eaa09bb5c778d912.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1feffb0bb2658090edd0b2f9f2721fc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/079f277788b447aabb0b527020dc20a4.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5bf7d03f075e1c0a67d02a56ddd6611.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86aada6c0797463dd75408a0ad45c43e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e07a024c9ae1e811ea066430c02fd62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfd1b5a2a71ae12061e768a1814f536a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950e0e6b300b63f5424deaa89734811f.png)
您最近一年使用:0次