名校
1 . 已知方程
的正根构成等差数列,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d688733a01b1bc9ac801100c50c60f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
A.![]() | B.![]() | C.2 | D.4 |
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2024-06-14更新
|
50次组卷
|
2卷引用:山西省晋城市第一中学校2023-2024学年高二下学期第四次调研考试(5月)数学试题
名校
2 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c109a3d972118f18d9ec2fe747912e50.png)
A.函数![]() ![]() |
B.函数![]() ![]() |
C.函数![]() ![]() |
D.方程![]() ![]() ![]() ![]() |
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22-23高三·河北·阶段练习
名校
3 . 设
,
.记
.则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbad5b0bde84efe462c11d904b9ab51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af4136664478bbcfa0c7cbd767206f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57d0ef08352a68ae1b311f4e4659e29a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ebc928a77c8d32426182fac401e880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235fcd9cb6a519c3944149c7820dc478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9193562d100eb2b21f19d19bd7bf496f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f2e626497999561c3433000d30c256a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e2b6311488e94608baecd5c0d19c1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbad5b0bde84efe462c11d904b9ab51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af4136664478bbcfa0c7cbd767206f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57d0ef08352a68ae1b311f4e4659e29a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ebc928a77c8d32426182fac401e880.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
4 . 高斯是德国著名的数学家,人们称他为“数学王子”,他和阿基米德、牛顿并列为世界三大数学家.用其名字命名的“高斯函数”为:设
,用
表示不超过x的最大整数(例如:
,
),则
称为高斯函数.已知函数
,
,下列结论中不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ab85825d4a002600ca41bd3cd2ee7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c20118f5251c23c3b861d2262f2d5c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e935bb66ce8ce69c0a4043aa5c820a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e3204e4dc47a448860779349efcedf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f490ccce3c01c6ce4da5f38a5e495e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92393df5b72b845aeaf7646aa3e63753.png)
A.函数![]() |
B.函数![]() ![]() |
C.函数![]() ![]() |
D.函数![]() |
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2022-01-28更新
|
1182次组卷
|
4卷引用:湖南省张家界市2021-2022学年高一上学期期末联考数学试题
湖南省张家界市2021-2022学年高一上学期期末联考数学试题重庆市永川北山中学校2022-2023学年高一上学期期末联考数学试题四川省南充市嘉陵第一中学2022-2023学年高一下学期3月月考数学试题(已下线)高一上学期期末考试选择题压轴题50题专练-举一反三系列
5 . 已知函数
,则下列结论错误的是( )
①
时,函数
图象关于
对称;②函数
的最小值为-2;③若函数
在
上单调递增,则
;④
,
为两个不相等的实数,若
且
的最小值为
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83b3fd9d4fa63d1bae1a76a90f0ff9dc.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dcee772e6187ac31d7f8d69b0487000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c63e1c64c42b7f3b7fdc396d4756cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe0e99cd239e789a9df7b181e98a10b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787f2c8b1d9d1ef0cf740d2fd9b25a8b.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/bd2dc6d650e0885a1001c7a102b9c981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc191ebded559cc4e6752b9a4e2727c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c05a467ddaa138590b3b56615c2c42a5.png)
A.②③ | B.②④ | C.①③④ | D.②③④ |
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解题方法
6 . 设函数
满足
,且当
时,
,又函数
,则函数
在
上的零点个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b47144278d622b666fcff69aee5abc5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1666c56e4cd330fe2ef32666903acb77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b3b52d835180316a418d3a45b0ba2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca4be345087f993a4078e16c16608e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f326a5bebacb4e613f6cee7864de1a89.png)
A.3 | B.4 | C.5 | D.6 |
您最近一年使用:0次
名校
7 . 已知
,函数
.
(1)若关于x的方程
在
上恰有两个不等的实数根,求实数a的取值范围;
(2)设
,若对任意
,函数
在区间
上的最大值与最小值的差不超过1,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4f159847aac03a301d6ec4491ea49e3.png)
(1)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0509558520d03c53eda503ef826a9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b24192cace1d2a643fc3a42a5b7ac273.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab00e58e074b513ac78555e39a628c0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48222eea9755a7c7635578031a573bc4.png)
您最近一年使用:0次
2020-12-31更新
|
233次组卷
|
2卷引用:湖北省武汉市武昌实验中学2020-2021学年高一上学期12月月考数学试题
名校
解题方法
8 . 若函数
的图象上存在两个不同点A,B关于原点对称,则称A,B两点为一对“优美点”,记作
,规定
和
是同一对“优美点”.已知
,则函数
的图象上共存在“优美点”___________ 对.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95d247ffb2774bb7e22708b25daf7f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95d247ffb2774bb7e22708b25daf7f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71bbe792268ddc7adc67b489a3c61927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd0faca43eed404150aba4fec3d71579.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2020-08-03更新
|
459次组卷
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4卷引用:黑龙江省绥化市2020届高三模拟联考质量检测数学(理科)试题
黑龙江省绥化市2020届高三模拟联考质量检测数学(理科)试题(已下线)专题11 函数性质的综合运用-2020年高考数学(理)母题题源解密(全国Ⅱ专版)(已下线)专题12 函数性质的综合运用-2020年高考数学(文)母题题源解密(全国Ⅱ专版)广东省广州市第六中学2022-2023学年高一上学期线上限时训练(问卷)数学试题
名校
9 . 关于
的方程
在
上解的个数是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be8ebe6396bfd78f07d3cc6c824b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b7c926d4bdaf2fc6b6352aeaef42ff2.png)
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2020-01-03更新
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584次组卷
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2卷引用:上海市南模中学2017-2018学年高三上学期第一次月考数学试题
解题方法
10 . 已知函数
,关于
的方程
有以下结论:
①当
时,方程
恒有根;
②当
时,方程
在
内有两个不等实根;
③当
时,方程
在
内最多有
个不等实根;
④若方程
在
内根的个数为正偶数,则所有根之和为
.
其中正确的结论是__________ (填写所有正确结论的番号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb1152dac89a5550489f036c7c59fc72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c5a01371237d9f145c03922f313fc8.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c5a01371237d9f145c03922f313fc8.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4d0aca3657c6d99e820e2567f18683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c5a01371237d9f145c03922f313fc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bccd6a6e85bdf500218a3e75b31f3c.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c5a01371237d9f145c03922f313fc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267e1007ff46f40af735a749d6650646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
④若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c5a01371237d9f145c03922f313fc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267e1007ff46f40af735a749d6650646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d93ea6b78c16307d56cba63315d0051.png)
其中正确的结论是
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