名校
1 . 小图给出了某池塘中的浮萍蔓延的面积
与时间
(月)的关系的散点图.有以下叙述:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/20/029f96d1-7a94-4aa9-aad5-4b1f8f157fa5.png?resizew=153)
①与函数
相比,函数
作为近似刻画
与
的函数关系的模型更好;
②按图中数据显现出的趋势,第
个月时,浮萍的面积就会超过
;
③按图中数据显现出的趋势,浮萍每个月增加的面积约是上个月增加面积的两倍;
④按图中数据显现出的趋势,浮萍从
月的
蔓延到
至少需要经过
个月.
其中正确 的说法有__________ (填序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4010da5b1fd07138d34cd7c2bd75bfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/20/029f96d1-7a94-4aa9-aad5-4b1f8f157fa5.png?resizew=153)
①与函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28bebf5990eedb3ea8007cbecbeed74a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fbddfe8f39a0f9bff98ba8c43e2f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
②按图中数据显现出的趋势,第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa0d2fc279da590a219b3cf21824bc22.png)
③按图中数据显现出的趋势,浮萍每个月增加的面积约是上个月增加面积的两倍;
④按图中数据显现出的趋势,浮萍从
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/303dd9dcc519133e7fde976018cc0b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acf9507178ebeea5d8cb761d392ef81a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
其中
您最近一年使用:0次
2018-08-13更新
|
427次组卷
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4卷引用:北京市西城161中学2017-2018学年高一上期中考试数学试题
北京市西城161中学2017-2018学年高一上期中考试数学试题北京市2023届高三数学模拟试题北京市顺义区第一中学2023届高三高考考前适应性检测数学试题(已下线)【走进新高考】(人教A版必修一)3.2.2 函数模型的应用实例(第2课时)同步练习01
名校
2 . 下列说法中,所有正确的命题序号为( )
①在同一坐标系中,函数
与函数
的图象关于
轴对称;
②函数
(
且
)的图象经过顶点
;
③函数
的最大值为1;
④任取
,都有
.
①在同一坐标系中,函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b161347f6a2fcfd9bf0acf1e8a03fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/996a92bcfc7fb20171fa1768d5ffddb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa80ae0b0eab1f14cccf872500f0843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2e1bb3e70e20280047d9b6c546dd16.png)
④任取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf7a904df8f22e3f1e26a4116eb7913.png)
A.①②③④ | B.② | C.①② | D.①②③ |
您最近一年使用:0次
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1049次组卷
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3卷引用:北京市第五十五中学2019-2020学年高一上学期期中数学试题
名校
3 . 已知全集
,非空集合
. 若在平面直角坐标系
中,对
中的任意点
,与
关于
轴、
轴以及直线
对称的点也均在
中,则以下命题:
①若
,则
;
②若
,则S中至少有8个元素;
③若
,则S中元素的个数可以为奇数;
④若
,则
.
其中正确命题的序号为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad79f30410cb52f68d9dba9c5c5b7ce2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7d5e33f296db5c92f103ec5b8d851d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aada9a837b764c886a451003c590d65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c46dee9a7ce99bbcba531c2ef1d6f154.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2070176ac1c57ba86235db68f1be3ddd.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91c45170b5d2c3a31ce773de80e727c.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dddb2d01c331c86930972e4d6918e288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6be5b2a6c8d41a82f0b0c11e0d9d1df9.png)
其中正确命题的序号为
您最近一年使用:0次
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|
838次组卷
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5卷引用:北京市陈经纶中学2022-2023学年高二下学期数学期中诊断试题
北京市陈经纶中学2022-2023学年高二下学期数学期中诊断试题北京市清华志清中学2023-2024学年高一上学期第一次月考练习数学试题(已下线)高一上学期第一次月考填空题压轴题50题专练-举一反三系列(已下线)高一上学期期中考试填空题压轴题50题专练-举一反三系列上海市东华大学附属奉贤致远中学2024届高三上学期10月教学评估数学试题
解题方法
4 . 已知非空集合
满足:
,
.对于函数
给出下列结论:
①存在非空集合对
,使得
没有最小值;
②不存在非空集合对
,使得
为奇函数;
③存在唯一非空集合对
,使得
为偶函数;
④存在无穷多非空集合对
,使得方程
无解.
其中,所有正确结论的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99544f1fe605de822213b0e8bbe541f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d7f14bf7f60fe19b509223284455f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dfe16220ebb1435ac9bf6d7cabeb2e9.png)
①存在非空集合对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99544f1fe605de822213b0e8bbe541f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
②不存在非空集合对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99544f1fe605de822213b0e8bbe541f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
③存在唯一非空集合对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99544f1fe605de822213b0e8bbe541f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
④存在无穷多非空集合对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99544f1fe605de822213b0e8bbe541f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/293e4bd6067452589e275ad4f30cbbd6.png)
其中,所有正确结论的序号为
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5 . 已知函数
,有下列结论:
①
,等式
恒成立;
②
,方程
有两个不等实根;
③
、
,若
,则一定有
;
④存在无数多个实数
,使得函数
在
上有三个零点.
则其中正确结论序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed38d89c34a21860287df306e9f3670.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b398653977a7e83326b32a716f89715a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d3dfb9993f0852e443ea196e974013d.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3550045493995a319b81b98a27bf6ffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ffd05445e62cf6352e48d073fac779.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/673207f6b77b8192d25463d071737b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c96a3141bc9fee638c69b3ed1dec7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f27822887caad20f3a075ca2fb74155c.png)
④存在无数多个实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27ce93b9f0ea8d7e3a5e4a4f2fcacf45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b61bb7cb94b4d06f0090df1e365667.png)
则其中正确结论序号为
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885次组卷
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4卷引用:北京市中关村中学2021-2022学年高一上学期期中阶段学情调研数学试题
北京市中关村中学2021-2022学年高一上学期期中阶段学情调研数学试题浙大附中玉泉、丁兰2022-2023学年高一上学期期中数学试题广东省三校联考2023-2024学年高一上学期期中数学试题(已下线)第8章 函数应用 单元综合检测(难点)(单元培优)-2021-2022学年高一数学课后培优练(苏教版2019必修第一册)
名校
解题方法
6 . 已知函数
,有下列结论:
①
,等式
恒成立;
②
,方程
有两个不等的实根;
③
,若
,则一定有
;
④存在无数多个实数
,使得函数
在
上有三个零点
则其中正确结论的序号为?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5226527a50804e4ac2b98a1660c94945.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86e3a9d6bf1d6cebdb8e1be3b7528a4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdb558e17c9818610772917878d82d03.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3550045493995a319b81b98a27bf6ffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7911015fb1648b3d3fa7a344f16fa0f2.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a45218ae116261aa67dd3a87da7d00b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360880b267f405ee5900bcbda6c9576b.png)
④存在无数多个实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab6b28c29a9e823cf1d6c764323d7e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
则其中正确结论的序号为?
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7 . 几位同学在研究函数
时给出了下面几个结论:①函数
的值域为
;②若
,则一定有
;③
在
是增函数;④若规定
,且对任意正整数
都有:
,则
对任意
恒成立.上述结论中正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3cec8fa96f67ace1278e5e8222812f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f27822887caad20f3a075ca2fb74155c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66a88cbaed58dcf9671ba9240359b9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47758fd032883f8fbded2ca2fe374df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cbee2209dc9c9fdabe42f52b06274a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
您最近一年使用:0次
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|
1285次组卷
|
4卷引用:北京市人大附中2019-2020学年高一上学期期中数学试题
名校
8 . 已知
,
,则下列命题中所有正确命题的序号为______ .
①存在
,使得
的单调区间完全一致;
②存在
,使得
的零点完全相同;
③存在
,使得
分别为奇函数,偶函数;
④对任意
,恒有
的零点个数均为奇数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/402ce8a613e5f2fbb94a97bbe670638d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f9d0624e29b819bfcf26187ae043db.png)
①存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0e9d1ad9561d693958756ee8398218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
②存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0e9d1ad9561d693958756ee8398218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e513e8e01e8c436b4c8900b31f6cd571.png)
③存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0e9d1ad9561d693958756ee8398218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/348655470887ca720aa5a436867dda7e.png)
④对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0e9d1ad9561d693958756ee8398218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/348655470887ca720aa5a436867dda7e.png)
您最近一年使用:0次
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|
456次组卷
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2卷引用:【区级联考】北京市海淀区2018-2019学年高二年级第二学期期中考试数学试题
9 . 对于函数
(
为常数),给出下列命题:
①对任意
,
都不是奇函数;②
的图像关于点
对称;
③当
时,
无单调递增区间;④当
时,对于满足条件
的所有
总有
.其中正确命题的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b7dce45a779cdb448ade40551841bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
①对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61e3829bae3f056b86ef3ce85b3e5536.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3002ad1638f25e355d70d5ab63e637f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89d08550cde3e34887cfe734fabf7ada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7356328558b6434fadd38ecee38dae4e.png)
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10 . 设集合S,T都至少含有两个元素,且S,T同时满足:条件1:对任意
,若
,则
;条件2:对任意
,若
,则
.给出下列说法:
①若S只有2个元素,则这2个元素互为相反数;
②若S只有2个元素,则
必有3个元素;
③若S只有2个元素,则
可能有4个元素;
④存在含有3个元素的集合S,满足
有4个元素.
其中所有正确说法的序号是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c36aecba41f6f5ff0d46a29dccaaf01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a11a069688e4c797fcf527eab15afa82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d015f20727d06fcd4fde4ed4de4e7c56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/566d386cbedb1c8750f4837633c2af64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a11a069688e4c797fcf527eab15afa82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e0f9ba8419972cff845bfd91f64297.png)
①若S只有2个元素,则这2个元素互为相反数;
②若S只有2个元素,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e8092e0dec3a194a5f7f0dc6f00f23.png)
③若S只有2个元素,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e8092e0dec3a194a5f7f0dc6f00f23.png)
④存在含有3个元素的集合S,满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e8092e0dec3a194a5f7f0dc6f00f23.png)
其中所有正确说法的序号是
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