名校
1 . 已知
,
,函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae9f908aabcd9d9c46a0ecdfd1d6c12.png)
(1)求
的周期和单调递减区间;
(2)设
为常数,若
在区间
上是增函数,求
的取值范围;
(3)设
定义域为
,若对任意
,
,不等式
恒成立,求实数
的取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dbb45d951aa4c64d07ea0e9394f2df5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc1dfdb520f2dd637ccb5606d4695823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae9f908aabcd9d9c46a0ecdfd1d6c12.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e665ca2220e4b27b78a173ff756e1eda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4607e9f81a317703cf52ef9dfe685c8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce53b7483eef4f0fb3334107acc4e1de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afbd17006e2625ff6748f6d098ea6573.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bf60c5e8996d138198fe74f30ce520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/841a7b00bf7477dff488ec7bbe9d8ae5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-07-15更新
|
1649次组卷
|
7卷引用:贵州省遵义市2021-2022学年高一下学期期末质量监测数学试题
贵州省遵义市2021-2022学年高一下学期期末质量监测数学试题贵州省遵义市2021-2022学年高一下学期期末质量监测数学试题江西省赣州市赣县第三中学2022-2023学年高一上学期10月月考数学(理)试题四川省仁寿第一中学校南校区2022-2023学年高一下学期期中考试数学试题 甘肃省白银市靖远县第四中学2022-2023学年高一下学期6月月考数学试题(已下线)高一下学期期末真题精选(压轴60题20个考点专练)-【满分全攻略】2022-2023学年高一数学下学期核心考点+重难点讲练与测试(人教A版2019必修第二册)(已下线)上海市高一下学期期末真题必刷04-期末考点大串讲(沪教版2020必修二)
名校
解题方法
2 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)若方程
只有一个解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4194bed79a863407d9355b1f9c477c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddea382d8bece5514a9cbd6a225667e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881cc36bf316d72c99b079a491661403.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0105b95730592d199e9055a4fc73dbf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
3 . 已知函数
的定义域为
,且满足
,当
时,有
,且
.
(1)求不等式
的解集;
(2)对任意
,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8938db94f49dcbe0c383fba0241bb0da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6521ef75f0a05fe62cdfd2fbbe0430b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/737c165baced95d7095d9f918a9cc110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b4ed4485745f1d259a3953c242b9cf2.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f48fd639616cdb1f927d3641297361.png)
(2)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce485410257c9c1fae9d87ce3e44cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450fe3dfd82db4e756924653b0047aec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-04-06更新
|
1147次组卷
|
4卷引用:2020届百校联盟TOP300八月尖子生联考(全国II卷)文科数学试题
名校
解题方法
4 . 已知函数
(
为常数,
).给你四个函数:①
;②
;③
;④
.
(1)当
时,求不等式
的解集;
(2)求函数
的最小值;
(3)在给你的四个函数中,请选择一个函数(不需写出选择过程和理由),该函数记为
,
满足条件:存在实数a,使得关于x的不等式
的解集为
,其中常数s,
,且
.对选择的
和任意
,不等式
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6614379cd63faabd1da220c786cdbedc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed15349f471493af902464777d039c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83739143c0e0731300d209a4133b5caf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd29509d5c3748c531b763bcce57bbda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3eee64da102a73908b77346ab02e53.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab839d8569171afab5ed55c22013aa72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63a4980e68a0e06cea46e3fdda16c21.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcd1b1911b9a9ae60c0ddd71eda33c7.png)
(3)在给你的四个函数中,请选择一个函数(不需写出选择过程和理由),该函数记为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cccb60908bbc616106e008e09acfd40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f18667bdb7b35b23e1cdaaaf4f52f9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995ec593baa4ef50b6d87c78380953d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1419108104429f6df5d5352a05211e36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095c5f7a3c6917839c01fd1e5654ee91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cccb60908bbc616106e008e09acfd40.png)
您最近一年使用:0次
2020-02-17更新
|
795次组卷
|
3卷引用:江苏省镇江市2019-2020学年高一上学期期末数学试题
江苏省镇江市2019-2020学年高一上学期期末数学试题江苏省苏州市高新区第一中学2020-2021学年高二上学期期初数学试题(已下线)专题03 三角函数与解三角形-【备战高考】2021年高三数学高考复习刷题宝典(压轴题专练)
名校
5 . 在下列命题中,正确的命题有________ (填写正确的序号)
①若
,则
的最小值是6;
②如果不等式
的解集是
,那么
恒成立;
③设x,
,且
,则
的最小值是
;
④对于任意
,
恒成立,则t的取值范围是
;
⑤“
”是“复数
(
)是纯虚数”的必要非充分条件;
⑥若
,
,
,则必有
;
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef389807e5cb964f7756c6841f7161d.png)
②如果不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae8fff7c98b78992edcd61daf6ea72f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7b2668d8fcf713370822c8e368ba7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da693578d4cd0c841fd529fe7ebfe4d.png)
③设x,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2519954ec2deabecd7e057886fa4023c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558c083d34cbb0a58d3ce1dc6f5778e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa8887f77124cbe18a4931826ede9c9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
④对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b687f97094676b2755bc724219a58520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ce220e0583c843810d4b44de111156.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f49bc53d70ee599df5cad39f06f728c2.png)
⑤“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d96d22950baabd8ca6647205f1d3cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
⑥若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae2e606c883dace7fbd88223c8067885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9d3040a7a1fc2cf8ac555dbafc97dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc277eef249facf647e13a58e3c2fe26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/297a7062ba8f240d7517f0dd3ee6a27d.png)
您最近一年使用:0次
名校
6 . 已知函数
.
(1)若
,求不等式
的解集;
(2)若
,对于任意的
,
都有
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f32f5c6ee5c1b539ce4617808c95ca49.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81ed7f6a4475e0fa682fa81ee747da3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3cc6aecaf7a967b8dfbbeb2892db93d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5d499666f20047af33ad30482efd37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0391e39aaeb4e3cc883b0439d7f69d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf7f0e7eba50a700bba69ad7a17cef62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2019-04-29更新
|
1469次组卷
|
3卷引用:【市级联考】河南省新乡市2018-2019学年高一下学期期中考试数学试题
名校
7 . 已知函数
是常数.
(1)当
时,求函数
的值域;
(2)当
时,求方程
的解集;
(3)若函数
在区间
上有零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c6f819f0b5aaa03198a8902d6d6a8d2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccefc9e2b317b368efcaa63a86d191c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/217a7df60635c0e378fea8177861b1d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2018-01-07更新
|
1393次组卷
|
2卷引用:江苏省宿迁市沭阳县修远中学2017-2018学年高一上学期第二次月考数学试题