名校
1 . 已知函数
,其中
.
(1)判断
的奇偶性(直接写出结论,不必说明理由);
(2)当
时,比较
与
的大小;
(3)若函数
有三个零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27cfd4498a1cc658b943061497345f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e23b3e7a3bae640c314bc9347ff67f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/123d2a9d1c04f94c4219ad15f6d6fdd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
的定义域为
,且
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/146ff57d46a7f258604e9660a726fdba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61c9a7ed0961f8977a21dab37aab396.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe088397814f2e8a74c02857bab7cce8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/953429ee5defb3a2c68d4ec38405b474.png)
A.![]() | B.![]() | C.0 | D.1 |
您最近一年使用:0次
2024-03-03更新
|
923次组卷
|
3卷引用:湖南省株洲市第二中学2024年第四届“同济大学”杯数理化联赛高一数学试题
3 . 已知函数
,方程
有六个不相等实根,则实数b的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edda531bc7c89db0fb12a287693f2dba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e22680c9b6661cf08683eaad8d59d412.png)
您最近一年使用:0次
解题方法
4 . 已知定义在
上的奇函数
满足
,且当
时,
,则( )
![](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/86d78dec1c1e00ec02d7bdaf76ef8901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdcdce390913ba35a3c3d13af6ac335f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd230a9c21ae0ad7b60c8a0cdbc2101.png)
A.![]() | B.![]() ![]() |
C.![]() | D.函数![]() |
您最近一年使用:0次
2024-02-17更新
|
282次组卷
|
2卷引用:湖南省部分学校2023-2024学年高一上学期期末联考数学试题
解题方法
5 . 为了响应国家“土地流转”政策,某公司在城郊租赁了大量土地作为蔬菜种植基地,种植的蔬菜销往城内各大超市和农贸市场.今年冬季的某一天(记为第1天)有一批绿色有机大白菜开始陆续上市.据预测,大白菜上市的第1天至第60天内,每天的产量x(单位:kg)(注:每天的产量即为每天的销售量)近似地满足图1所示的两条线段对应的函数关系;每天的销售价格y(单位:元/kg)近似地满足图2(其中前一段为线段,后一段为函数
)
所示的函数关系.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/13/14883502-5c0e-4f8b-9670-b04c153289a4.png?resizew=393)
(1)求这60天内每天的产量x,每天的销售价格y与第t天的函数关系;
(2)从开始销售起第几天的销售收入w(单位:元)最大?最大的销售收入是多少元?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50167c2e67da3f81b913f8725bbe7d74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf957500fe9cb00f9dca09c839eb766.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/13/14883502-5c0e-4f8b-9670-b04c153289a4.png?resizew=393)
(1)求这60天内每天的产量x,每天的销售价格y与第t天的函数关系;
(2)从开始销售起第几天的销售收入w(单位:元)最大?最大的销售收入是多少元?
您最近一年使用:0次
解题方法
6 . 已知函数
.若
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/483796c965fccef2b613fa1b293d2d97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb9a102ee64dedb8c8f66dd862bf4443.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 借助信息技术计算
的值,我们发现当
时
的底数越来越小,而指数越来越大,随着
越来越大,
会无限趋近于
(
是自然对数的底数).根据以上知识判断,当
越来越大时,
会趋近于__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d285a6a3ca6b2b04d5397183436b5b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62dbd49de67f043222d84023bbc870fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b3f779c42398b1158faa9f9124ed13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b3f779c42398b1158faa9f9124ed13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11204e2fb6e560bf7a4ca26eaebfc526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda3a356637a488a68626a6427b34a43.png)
您最近一年使用:0次
8 . 函数
的定义域为
,若对于任意的
,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,且满足以下三个条件:①
;②
;③
,则
等于( )
![](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/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/09f86f37ec8e15846bd731ab4fcdbacd.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/3afdc66f3e598a970f2236f7052a573b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
9 . 已知函数
的定义域为
,函数
是定义在
上的奇函数,函数
),则必有( )
![](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/56a8a487b86277897fd4b4f7c1384a0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b35c600bfd329fe94045c33e99036381.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-01-30更新
|
817次组卷
|
4卷引用:湖南省衡阳市2023-2024学年高三上学期期末数学试题
解题方法
10 . 已知函数
的定义域为
,且对任意
,都有
及
成立,当
,
且
时,都有
成立,下列四个结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa500a0c235dd51b76d9f7f22ac8559.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71be996420faa2e7dc5140af3317064d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a49684ba67f71171321586f1a77ad4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/717a1efcded39ade5c5e98eeb21013e4.png)
A.![]() |
B.直线![]() ![]() |
C.函数![]() ![]() |
D.方程![]() ![]() |
您最近一年使用:0次