名校
解题方法
1 . 以下命题正确的有( )
A.![]() |
B.![]() ![]() |
C.已知函数![]() ![]() ![]() ![]() |
D.函数![]() ![]() |
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名校
解题方法
2 . 以下命题正确的是( )
A.函数![]() ![]() |
B.函数![]() ![]() |
C.函数![]() ![]() ![]() ![]() ![]() |
D.已知![]() ![]() ![]() ![]() |
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名校
解题方法
3 . 下列各组函数是同一函数的是( )
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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名校
解题方法
4 . 定义在
上的奇函数
,
,且对任意不等的正实数
,
都有
,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c5e6d6c165457490e0d208d58d8e08.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/da3bf19a38ce17b18be77cdbf40665e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2031ee4e5639eb4fc2376f1214b42075.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
5 . 已知集合
,
,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/637902b7eb322549a3b084137fe1701b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/366c94537fae62c7da8b3ff8c0bbbe1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9163ebe812708ee5337d62298c2e3363.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
6 . 对任意的
函数
,都有
,且当
时,
,若关于
的方程
在区间
内恰有6个不等实根,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aedc1c8a16e306bcd6e5154f9ed6dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d203f81cd25b0e4b6e0f994d6a042b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a21e1e80acd7ce4837f80e0257fa5357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/016eff8c401a95d3eb5c7a785632293a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a08bd89cef4f0b1ae3d31a0a9f8f937.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/939f77278a5622a7dfc1759c721d4ee0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.(3,5) | B.(3,4) | C.[3,4] | D.[3,5] |
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名校
解题方法
7 . 已知函数
为奇函数,且
,当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c09c5c89b0c2a92f8c4b70e69b0eada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c6fd660dd8bdcb76921fd72436d8f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e4e0015bbadab05308e3de499b37799.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() | D.![]() |
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解题方法
8 . 已知定义在
上的函数
满足
,当
时,
.若
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84138ea27b607e42e82613ce107c19a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f5c837522a811402efb9762210c5362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f52f6ee8ead43c46f73102b87a2d943.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e430de61597b048041deac179a95bb43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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解题方法
9 . 若函数
是奇函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f60e42fcb0f90a6bd13fda2d78837515.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
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2024-06-09更新
|
792次组卷
|
3卷引用:陕西省安康市高新中学2023-2024学年高一下学期6月月考数学试题
名校
解题方法
10 . 若定义在
的函数
满足:对于给定的
,存在
,使得
成立,则称
具有性质
.
(1)函数
,
是否具有性质
,请说明理由;
(2)已知函数
具有性质
,求T的最大值;
(3)已知函数
的定义域为
,满足
,且
的图像是一条连续不断的曲线,问:是否存在正整数n,使得函数
具有性质
?若存在,求出这样的n的取值集合;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b006ca4156920323d4a6e5b824eb4cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb03852bfba151574918a5ccdfa2eaeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c03be80f9a2db9ab33ff5505f9c22f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6be9a1c3d2ecfaf4aadfcd92c5f9204.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0facd8ef8a4f03cb439af27a89d25a35.png)
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d84c5adeb3bce246ebbe10df3ee61d9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/716121901a339a5cfabd31a13562339e.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d7ce04b79ef6ae16d9d38288af2108.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0facd8ef8a4f03cb439af27a89d25a35.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b006ca4156920323d4a6e5b824eb4cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499bc3e09a7b069e8eb33f4cc203c030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500965e9c4bf763d6f51c7abd2de309e.png)
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