名校
1 . 在整数集Z中,被5除所得余数为k的所有整数组成一个“类”,记为
,即
,
.给出如下四个结论:
①
;
②
;
③
;
④整数a,b属于同一“类”的充要条件是“
”.
其中正确结论有____________ (填写正确结论标号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef3ae0a4507f1f66d5bf885a6b90d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eab0cb11408747d29e4390131e8371f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63702e21678ae8a609cfa1faeef69fa6.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/992df7e0fb9f11450c44923ad41ab920.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a2a818d5f8da20f51bde5f368de6f5e.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7564a88c692fa7ebe56747ae86824bfe.png)
④整数a,b属于同一“类”的充要条件是“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56fdc4deaa59b7ac4cc8bd4eaa8eecf4.png)
其中正确结论有
您最近一年使用:0次
2020-10-24更新
|
319次组卷
|
3卷引用:江苏省无锡市江阴市成化高级中学2020-2021年高一上学期9月月考数学试题
解题方法
2 . 德国著名数学家Dirichlet在数学领域成就显著,以其命名的函数
被称为Dirichlet函数.下面给出关于
的四个结论:
①
的值域是
;
②
是偶函数;
③存在非零实数T,使得
;
④对于任意的
,都有
.
请将上述结论中正确的序号填写在横线上______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ee3e8765e6f7fec2c805a8be3a695e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8238fba9b391d01ceb071e78ee221035.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8238fba9b391d01ceb071e78ee221035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8b2be1b0b6bea70d4e64894f1009359.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8238fba9b391d01ceb071e78ee221035.png)
③存在非零实数T,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a9c3e804fc20446ad72da8339c20ab.png)
④对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dafce249be1aeee0581417db4ce841db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7debbe276b0c456c466746619311d4d.png)
请将上述结论中正确的序号填写在横线上
您最近一年使用:0次
名校
3 . 设集合A,B是R中两个子集,对于
,定义:
.①若
;则对任意
;②若对任意
,则
;③若对任意
,则A,B的关系为
.上述命题正确的序号是______ . (请填写所有正确命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d5adcce23d156cdd18bb95fc5fb5439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff420c18e2749228f8014a7ea900744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f4c38f1272d07c58f9645d064e80ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ed5930525a04c8fa26e535147e3085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7baf26599546c024ce19471ad898d6b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8027071461ec144bcda549e5518d77e.png)
您最近一年使用:0次
2019-12-10更新
|
398次组卷
|
2卷引用:上海市上海师范大学附属中学2019-2020学年高一上学期期中数学试题
名校
4 . 将初始温度为
的物体放在室温恒定为
的实验室里,现等时间间隔测量物体温度,将第
次测量得到的物体温度记为
,已知
.已知物体温度的变化与实验室和物体温度差成正比(比例系数为
).给出以下几个模型,那么能够描述这些测量数据的一个合理模型为__________ :(填写模型对应的序号)
①
;②
;③
.
在上述模型下,设物体温度从
升到
所需时间为
,从
上升到
所需时间为
,从
上升到
所需时间为
,那么
与
的大小关系是________ (用“
”,“
”或“
”号填空)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/753eef04e0f8fa2f986cde182c6e0a11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa7fda751813a197463eafc50c8be5c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9297e289a9ef977009186083ec738ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea374681dd13a3faca4a6aa9cc07cc8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1a3019bfc89157cd5d3fc3d5f242e10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd2aa02e4912ad41b439b150325da54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44b47d87eddd17df99c4de2bd043c00a.png)
在上述模型下,设物体温度从
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/573a6abe18ca58ca6f5804b8770df848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64e554c28242b6cbd70c3f6974f5294e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/155c51cbd30e9611dd58f882e4b75c0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64e554c28242b6cbd70c3f6974f5294e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699848e29465963154204980727c0909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1ebc92a0010b4914d5ea0d7878394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699848e29465963154204980727c0909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a8686975dd5327f7db255156a3eaa52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83763564cdefe596fc31d487d10033e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ecc3aaae2aa289591a3b632f1e0645.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392cdb9d30684cce244bef94b8d861b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
您最近一年使用:0次
2020-01-10更新
|
454次组卷
|
5卷引用:第八章 函数应用(单元重点综合测试)-速记·巧练(苏教版2019必修第一册)
(已下线)第八章 函数应用(单元重点综合测试)-速记·巧练(苏教版2019必修第一册)北京市东城区2019-2020学年高三上学期期末数学试题(已下线)专题7.1 不等式的解法-备战2021年高考数学精选考点专项突破题集(新高考地区)重庆市第二外国语学校2021届高三上学期第四次质量检测数学试题北京市中关村中学2020届高三数学统练试题
5 . 下列说法:
①函数
的最大值为1;
②函数
是定义在
上的奇函数,当
时,
,则
在
上的解析式可以写成
;
③若函数
的值域为
,则
的取值范围是
;
④已知定义在
上的偶函数
在区间
上是减函数,若
,则
的取值范围是
.
其中正确的是______ (填写所有正确说法的序号).
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93813ce658c7b3286ad2e7390b5e08c4.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5749bb82edfb623c63ae4ec6b4d43da8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26abb224b1aa89f30f123250a671cc8f.png)
③若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a983067430c86e89851f28472465c55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a7a4a037a4dfe973f1eb683d93d799.png)
④已知定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b029e85e686623cdef977b2cb1f207a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7a320fe3c94e57916ef2447dfca9141.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d9dddbb2ed388ea8ef6d8c1d1e66ec6.png)
其中正确的是
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6 . 已知函数
,给出下列四个命题:
①函数
的图象关于点
对称;
②函数
的图象关于直线
对称;
③函数
在定义域内单调递减;
④将
的图象向右平移1个单位,再向下平移1个单位后与
的图象重合.
其中真命题是_________ (填写编号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05bdc9b724e602f586f740545c17a982.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31c4f39399ec245a67db2933ed639f2.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
④将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef854dfcbba9b7dedc1bc52f6332b011.png)
其中真命题是
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7 . 非空集合
关于运算
满足:①对任意
,都有
;②存在
使得对于一切
都有
,则称
是关于运算
的融洽集,现有下列集合与运算:①
是非负整数集,
:实数的加法;②
是偶数集,
:实数的乘法;③
是所有二次三项式构成的集合,
:多项式的乘法; ④
,
:实数的乘法;其中属于融洽集的是________ (请填写编号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9cbad1e8b405feac6e8fe403f024b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ea5a550b5452df9abdbca776c2ff500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25e6faeeed98a19d7012c921ca71a046.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/572f76c63e3a74a90a1e6ca5ae401cf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1ab14d288a58f2bd865846544b5c4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c8f10a0d3097ea9644b3147f7f0143c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
您最近一年使用:0次
2020-03-05更新
|
181次组卷
|
2卷引用:上海市青浦一中2016-2017学年高一上学期期中数学试题
名校
解题方法
8 . 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)
您最近一年使用:0次
9 . 假设某地初始物价为1,每年以5%的增长率递增,经过
年后的物价为
.
(1)该地的物价经过几年后会翻一番?
(2)填写下表,并根据表中的数据,说明该地物价的变化规律。
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)该地的物价经过几年后会翻一番?
(2)填写下表,并根据表中的数据,说明该地物价的变化规律。
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/22/59183860-75d4-433a-9b5e-347e3b027936.png?resizew=489)
您最近一年使用:0次
2020-02-07更新
|
233次组卷
|
2卷引用:人教A版(2019) 必修第一册 逆袭之路 第四章 4.4 对数函数
名校
10 . 设
是定义在
上的函数.①若存在
,使
成立,则函数
在
上单调递增;②若存在
,使
成立,则函数
在
上不可能单调递减;③若存在
对于任意
都有
成立,则函数
在
上单调递增.则以上述说法正确的是_________ .(填写序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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