名校
1 . 已知函数
为奇函数.
(1)求
的值;
(2)若
在
上恒成立,求实数
的取值范围;
(3)设
,若
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e38371ea57658e033f41ddf5e51c91f1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6278327c9a9968d1169ce3a125f2d3fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac1e85463a3177f487d896b3d1d24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7591504e793baf519c8b0e3ea8bfc508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e47d4c4c6d534d98138e98474804ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3bb43da17137e6c50874a8086df278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-02-29更新
|
1057次组卷
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5卷引用:江西省景德镇市乐平中学2023-2024学年高一下学期4月期中考试数学试题
江西省景德镇市乐平中学2023-2024学年高一下学期4月期中考试数学试题河南省许昌市2023-2024学年高一上学期期末教学质量检测数学试题上海市金山中学2023-2024学年高一下学期3月月考数学试卷辽宁省抚顺市第一中学2024学年高一下学期尖子班4月月考数学题(已下线)专题02三角函数的图像与性质期末10种常考题型归类-《期末真题分类汇编》(人教B版2019必修第三册)
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解题方法
2 . 已知定义在
上的函数
,且
是偶函数.
(1)求
的解析式;
(2)当
时,记
的最大值为
.
,若存在
,使
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c763c703dc84bae6cb12bff6e3b232f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c822c874e9ccc9ed9e0d126b01ce9d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16627a6c8ecdc63f57bd822efeecb734.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee80c5a801e9ab6f4a077905769f1766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad814089e37543b2f547af9ae75b6dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b332e5aaddab0b5f4cfb89248a905b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-02-28更新
|
514次组卷
|
4卷引用:江西省宜春市宜丰中学2023-2024学年高一下学期3月月考数学试题
江西省宜春市宜丰中学2023-2024学年高一下学期3月月考数学试题河南省驻马店市2023-2024学年高一上学期1月期终考试数学试题湖南省长沙市麓山国际实验学校2023-2024学年高一下学期第一次学情检测数学试题(已下线)第10题 动静转换求范围,构造函数是关键(优质好题一题多解)
3 . 已知集合
,
,
.
(1)求
,
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7130c4892bc32bdcf9b29e455e2a9455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58f1b604f486d8ba10d8f25194a3a8ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55d63a76e1891a481fe31356d6930866.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb17a2a90cd479b604258d1258e9636.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/959f3c514abb15185a429e1b2f1674e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 已知函数
,不等式
的解集为
.
(1)求实数a,b的值;
(2)函数
满足条件:①是偶函数;②
时,
.已知函数
有四个零点,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63aaa178677e179fd17fb87877ccb38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be1d8c6384d7fabddb693b2b7fcdf4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ff45f2626ddd4754c814c7c1f6685b.png)
(1)求实数a,b的值;
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2401f1358466ad761052b98564ae5873.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59ef383eb9ff64c0315e9e119046296b.png)
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解题方法
5 . 在①
;②“
”是“
”的必要条件;③
这三个条件中任选一个,补充到下面的问题中,并解答.
间题:已知集合
.
(1)当
时,求
;
(2)若___________,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36be0d45c320e74b3bfee0aa5737fb0b.png)
间题:已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad7e0a446b9bc33137cf383563db783.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da331a8c58b97333fcf642c92f089e0c.png)
(2)若___________,求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 化简求值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4d23981d6b3ba50a7700f955c56162.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/928b1adf917c02445cde99073b464590.png)
您最近一年使用:0次
解题方法
7 . 已知定义域为
的函数
满足对任意
,都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e378c159436eb968d2b03eedd0e67657.png)
(1)求证:
是奇函数;
(2)设
,且当
时,
,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff68d7374e6f548d902f18ed6b6e8c3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/243a45670e2b2fe44496d3244ed5a68d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e378c159436eb968d2b03eedd0e67657.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab409bb25958c2f01c73e26042c6f51e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0527a896aec4a245945e5edee00deed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e800115ee291759e0dbc95fdc43b2.png)
您最近一年使用:0次
名校
8 . 计算:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25653a62f8dbaa1c50f31d88d9df2ae2.png)
(2)已知
,试用
表示
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25653a62f8dbaa1c50f31d88d9df2ae2.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d586be112cea35ce289229e22bef7dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8108229c24e88fdc0cf2302b1228b51e.png)
您最近一年使用:0次
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9 . 已知函数
的图象的两相邻对称轴之间的距离为
,且在
时取得最大值2.
(1)求函数
的解析式;
(2)当
时,若方程
恰有三个根,分别记为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df94a45a83636c4603aeae49eb44473.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de633b2c143b9f76b29cde1c6ffce71.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d12d6804ac95bb944d0fa77c6f2813e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338316b0fe50fdea0f2f75aec4c990dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bacde908aec2c313978fc4309d82bc.png)
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2024-02-25更新
|
734次组卷
|
2卷引用:江西省吉安市泰和中学2023-2024学年高一下学期第一次月考数学试题(B)
10 . 对于区间
,若函数
同时满足:①
在
上是单调函数,②函数
的定义域为
时,值域也为
,则称区间
为函数
的“保值”区间.
(1)求函数
的所有“保值”区间.
(2)函数
的一个“保值”区间为
,当
变化时,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57a73413293485eec898e382c345a2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28a1529190be96a75cc40bfd7d6b647e.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9292cd30c0ffa46bbbbb59e1a546a11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
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