名校
1 . 设偶函数
在
上单调递增,且
,则不等式
的解集是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fceb969de98e32f56f9610c213823489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18896c9058d074f96552b7c4b22a171d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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4卷引用:河南省南阳市六校2021-2022学年高一上学期第二次联考数学试题
河南省南阳市六校2021-2022学年高一上学期第二次联考数学试题黑龙江省鹤岗市第一中学2021-2022学年高三上学期期末考试数学(文)试题(已下线)专题6.7 必修第一册期末考试总复习检测3(难)-【满分计划】2021-2022学年高一数学阶段性复习测试卷(人教A版2019必修第一册)福建省仙游县度尾中学2021-2022学年高一上学期数学期末试题
21-22高一·全国·课前预习
2 . 已知函数
是
上的偶函数,且在
上是增函数,若
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e58768fc0df02f60aa54d00fe063c52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e5b0569b8a7bf1339a2fce8a43c831.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() |
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5卷引用:【导学案】《第三章 函数概念与性质》本章小结-2021-2022学年高一数学《新教材同步精典导学案》(人教A版2019必修第一册)
(已下线)【导学案】《第三章 函数概念与性质》本章小结-2021-2022学年高一数学《新教材同步精典导学案》(人教A版2019必修第一册)山西省朔州市平鲁区李林中学2021-2022学年高一(平行班)上学期月考二数学试题天津市益中学校2023-2024学年高一上学期期中数学试题天津市第九十六中学2023-2024学年高一上学期期中考试数学试卷辽宁省朝阳市育英高级中学2021-2022学年高二上学期期末数学试题
名校
解题方法
3 . 设函数
定义在区间
上,若对任意的
、
、
、![](https://staticzujuan.xkw.com/quesimg/Upload/formula/177e54e8deea5da9dc6bc82eb3de0c2c.png)
,当
,且
时,不等式
成立,就称函数
具有M性质.
(1)判断函数
,
是否具有M性质,并说明理由;
(2)已知函数
在区间
上恒正,且函数
,
具有M性质,求证:对任意的
、![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
,且
,有
;
(3)①已知函数
,
具有M性质,证明:对任意的
、
、![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
,有
,其中等号当且仅当
时成立;
②已知函数
,
具有M性质,若
、
、
为三角形
的内角,求
的最大值.
(可参考:对于任意给定实数
、
,有
,且等号当且仅当
时成立.)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea9c587f6257331045c362ef25677c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/770cf3716f1e9dc8023a898df7f33783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/177e54e8deea5da9dc6bc82eb3de0c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d589f18d16b1a6bbd5108409c53fd05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a49c641617f38855f6abc7baf36af8e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f05279fb93940ea0741b64227cc58c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a70644524df044d4a24b998a81d44c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee6881a170f6ef9ed5c133b95c2f448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/475a20b276768b190ac15c9aa5c352ef.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea9c587f6257331045c362ef25677c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80fcd5a1ca4f9abf76c88db3a3542b38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb5348b540c0b2e012191ae95351aaac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d589f18d16b1a6bbd5108409c53fd05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450fb41cf5543a06035606ff29a9e934.png)
(3)①已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb5348b540c0b2e012191ae95351aaac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d589f18d16b1a6bbd5108409c53fd05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f183be2a65b185fd240990dffdec3ba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b62e63003be4ad8c4c51e36e71df2ac3.png)
②已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b923078510697d5f7f9ea392eb76dd9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/089e6e44271b4c08be46dda1e7403741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a8080fef9bdfa92ae70f3e314eef3e3.png)
(可参考:对于任意给定实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/205ca5a7d5bede14db0175445bb6d508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f6b79d363c080275b93b8cc4b279653.png)
您最近一年使用:0次
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|
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5卷引用:上海市黄浦区2022届高三上学期一模数学试题
(已下线)上海市黄浦区2022届高三上学期一模数学试题上海市黄浦区2022届高三一模数学试题(已下线)第04讲 函数最值与性质-3上海市文来高中2023届高三上学期期中数学试题(已下线)专题06 期末解答压轴题-《期末真题分类汇编》(上海专用)
名校
解题方法
4 . 若定义在
的奇函数
在
上单调递增,且
,则满足
的
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2edd8edcb21bd41584daf9bb95a5c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fceb969de98e32f56f9610c213823489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f25fc5bbd2c7c2aaf0551a8c5dcc8b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
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|
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2卷引用:四川省成都外国语学校2021-2022学年高一上学期12月月考数学试题
名校
5 . 设
,
,若函数在
的函数值大于函数在
的函数值,函数在
的函数值大于
的函数值,则下列关系式中一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1c9b8e7d0b23361d7b8afc9a3f7c2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1fee06cc1bf96fc80df8f4de15d93f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a454588e9beb97c69a0332a7c5c796.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b53b86bd516400d6fa7dabb3603f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b53b86bd516400d6fa7dabb3603f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b334dafda377c3db77647c8cf1e95f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
482次组卷
|
3卷引用:沪教版(2020) 必修第一册 领航者 一课一练 第4章 复习与小结(2)
名校
解题方法
6 . 设函数
的定义域为
,
为奇函数,
为偶函数,当
时,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e356a6e54a669fda721085096c8416db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e81e15b871dd32b2438ef8025bcc42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998485ffeb46a0412ff1a0f814429257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5f4970c1785ebfce8bf0c810cd2b12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7090eabd22c068ae22b36e076701efc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad69e072416bd6c6118f619a5d102964.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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3卷引用:四川省南充市2021-2022学年高三高考适应性考试(一诊)数学(理)试题
四川省南充市2021-2022学年高三高考适应性考试(一诊)数学(理)试题辽宁省大连市金普新区省示范性高中联合体2021-2022学年高三第四阶段考试(下学期开学考试)数学试题(已下线)热点13 函数的图象与性质-2022年高考数学【热点·重点·难点】专练(全国通用)
名校
7 . 已知定义在
上的函数
的图象是连续不断的,且满足以下条件:①
,
;②函数
在
上单调递增;③
.则下列选项成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf116ecbdb894c1d05d5b3b5203c10a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a431537df789febf4bc45e3dc23cefaf.png)
A.![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.![]() |
您最近一年使用:0次
名校
8 . 已知偶函数
在区间
上单调递增,则满足
的
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f615c5f5b81a52663c1228d9b470166b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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4卷引用:云南省昭通市永善、绥江县2021-2022学年高一12月月考数学试题
名校
解题方法
9 . 已知函数
为定义在R上的奇函数,满足对
,其中
,都有
,且
,则不等式
的解集为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d44984ab5340c6ca3feeeb4433620e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c40b52314541001e71960822292018ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e7b359eb7cd04493fc030a87eccbf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/399ea02b076786e309aedecb3e98d63d.png)
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5卷引用:江苏省南京市六校2021-2022学年高一上学期12月联考数学试题
名校
解题方法
10 . 设函数y=f(x)是定义在R上的偶函数,对任意x∈R,有f(x+6)=f(x)+f(3)成立,且f(-2)=-1,当x1,x2∈[0,3]且x1≠x2时,有
>0,下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39bbaa673d75c93089cadc45bef573db.png)
A.f(2024)=-1 |
B.f(3)=0 |
C.y=f(x)在[-9,-6]上是增函数 |
D.函数y=f(x)在[-9,9]上有4个零点 |
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3卷引用:广东省中山市中山纪念中学2021-2022学年高一上学期第二次段考数学试题