名校
1 . 已知
是定义域为R的单调函数,且对任意实数x,都有
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d5ead1f023b84dbc5ff2dd21963f187.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e33983aad5de82a0678058c4134e701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d5ead1f023b84dbc5ff2dd21963f187.png)
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2020-12-30更新
|
1282次组卷
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2卷引用:上海市上海中学2020-2021学年高一上学期12月月考数学试题
2 . 已知函数
,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef9183df9b3f276abc8a9b279ea35dc7.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce020353e4314fe1e1cfe2d84b91221.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41695a4b39b662183ebc8092c06bf034.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b75b95500ecdd45377847255bcd5302.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d661ea1afb474d15f37b8a2378d764ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef9183df9b3f276abc8a9b279ea35dc7.png)
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3 . 函数
的图象绕着原点旋转弧度![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
,若得到的图象仍是函数图象,则
可取值的集合为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfeb49a8a6565e67c37a7c4a787af997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b87278c97d1839a69da2423c8c3d2200.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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2020-12-02更新
|
619次组卷
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4卷引用:上海市闵行区七宝中学2021届高三上学期期中数学试题
上海市闵行区七宝中学2021届高三上学期期中数学试题(已下线)热点07 解析几何-2021年高考数学【热点·重点·难点】专练(上海专用)上海市上海师范大学附属中学2022届高三上学期10月月考数学试题上海市南洋模范中学2024届高三上学期开学考试数学试题
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4 . 定义在R上的函数
满足
,且当
时,
,则
等于___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d938fc5f9e5e5daf8c75e3e10f626e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3b39bbfd4894f4d2ca18473a3e42f82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ba30f1aa5e75750c67b142fc1d7837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf37fc24c8a9f21f76ab514723cba811.png)
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2020-11-24更新
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968次组卷
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4卷引用:湖北省武汉外国语学校2020-2021学年高一上学期期中数学试题
湖北省武汉外国语学校2020-2021学年高一上学期期中数学试题(已下线)【新东方】在线数学39(已下线)专题5.2 函数对称性与周期问题 B卷-2021-2022学年高一数学单元卷模拟(易中难)(2019人教A版必修第一册)重庆实验外国语学校2021-2022学年高一上学期期中数学试题
5 . 函数
定义域是
,若对任意
,当
时,都有
,则称函数
在
上为非减函数,设函数
在
上为非减函数,满足条件:①
;②
;③
;则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd34b72bbae524d72b25cce886951892.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc1bc250c8a6523a1be394ff48d4a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ee7abd882ba99660bca68ebf544cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea8bf593f594c51fc7cc547482bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55ca42f5662e7b0e3f355995c5afcdec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4353063dd9040af707cf28416c5f03bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd34b72bbae524d72b25cce886951892.png)
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解题方法
6 . 若
是定义在
上的函数,且对任意
都有
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0455ee2dc1295a05157be422968bf.png)
____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859e341e3ee37b3028f7951ebea3ffd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/317dfdd985e880ea154da504cec0d691.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a5c5e106845cc7549bc3473818d31f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0455ee2dc1295a05157be422968bf.png)
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2020-04-11更新
|
879次组卷
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3卷引用:2020届河北省保定市高三第一次模拟数学(理)试题
7 . 已知奇函数
的定义域为
,且当
时,
,曲线
上存在四点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58c9a6ec9ce46797e0cce87187d388b2.png)
,使得四边形
为平行四边形,则四边形
的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b81af6d826817141c98752376222d4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4dd57859a99aae90a5fa5d44dd43fad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58c9a6ec9ce46797e0cce87187d388b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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2020-03-18更新
|
407次组卷
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3卷引用:山西省临汾市2020届高三下学期模拟考试(1)数学(文)试题
山西省临汾市2020届高三下学期模拟考试(1)数学(文)试题(已下线)专题01 函数(第二篇)-备战2020高考数学黄金30题系列之压轴题(新课标版)山东省滨州市邹平市第一中学2021-2022学年高三下学期3月月考数学试题
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8 . 规定
为不超过x的最大整数,对任意实数x,令
,
,
.若
,
,则x的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ab85825d4a002600ca41bd3cd2ee7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb7455952a45e44857b44de4da4c2748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515f0a4933d1c875f896847dc285ce46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbbb829347f9a8019d358b98dc0262b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c106871978af1860fa3c1185d4adeb29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209636e6f2a0b394115eb01b48eb0520.png)
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2020-03-09更新
|
407次组卷
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2卷引用:安徽省池州市贵池区2019-2020学年高一上学期期中数学试题
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解题方法
9 . 已知,若定义域为
的函数
同时满足以下三条:①对任意的
,总有
;②
;③当
,
,
时,
成立,则称函数
为
函数.以下说法:(1)若函数
为
函数,则
;(2)函数
是一个
函数;(3)若函数
为
函数,则函数在区间
上单调递增;(4)若函数
、
均为
函数,则函数
(
,
,且
)必为
函数,正确的有__________ (填写序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12aae852c3129efc16934aefc54201f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24cd2fe62ffe3caa1c6f7976851c9dc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2f51cd760aeff9365b51e9a85b41e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a55141a7ecd250e67d1228bdc3a1c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea8bf593f594c51fc7cc547482bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848ad4deff72f843948c14364c1e1f34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bde4329e8422d6ead3ee5daa8e456a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f371d431b6c91972b742c426c8a81ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
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10 . 已知定义在
上函数
满足,对一切实数
、
,均有
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f0d5211ab27de8a0ff0d39afda8c2d9.png)
______ .
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2866b1a2d5250d0aa21ef93055d89337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5836fe1720d2fc7ac2ce2f71a170231.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f0d5211ab27de8a0ff0d39afda8c2d9.png)
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2020-01-30更新
|
577次组卷
|
4卷引用:上海市复旦大学附中2018届高三上学期10月月考数学试题
上海市复旦大学附中2018届高三上学期10月月考数学试题上海市复旦大学附属中学2018届高三上学期第一次综合测试数学试题上海市复旦大学附属中学2018 届高三上学期第一次月考数学试题(已下线)第三章 函数的概念与性质单元检测卷(能力挑战卷)-【一堂好课】2021-2022学年高一数学上学期同步精品课堂(人教A版2019必修第一册)