解题方法
1 . 已知实数a,b满足
,则下列关系式中可能正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5e2c8e3a7e759bf13c31e3826886100.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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2024高三下·全国·专题练习
名校
解题方法
2 . 已知函数
,
,正实数a,b,c满足
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9f049a5f960728c60a909821b2404b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5007479ae7f8c4579c5b2e5e7686f125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/298c3d031a4cf648c73f7175024e4fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07e65b44589c531a91b46fed6d7745b2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
3 . 已知
,
,则下面正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a750da7046224505f03d1abf0656d1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a44bd6e43352da6cf15655ec4748432.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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4 . 当实数
变化时,函数
最大值的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b78c79175b07675507fca34fd59fbd24.png)
A.2 | B.4 | C.6 | D.8 |
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解题方法
5 . 已知定义在
上的函数
满足
,
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7a877c9fece6c8d3dd17d8424e5736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0015ba78cb98bcc7691141bf25bc0be4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d65facc023d51b3f3aec709492d2f313.png)
A.![]() | B.![]() |
C.函数![]() | D.![]() |
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名校
6 . 已知
是定义在
上的单调递增且图象连续不断的函数,若
,恒有
成立,设
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323728d4d7e3b2a3dcc7ad46962c0026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b93a938813fc8178fb00f723a56696f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff422f3c701584afe9614d664e883d2.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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解题方法
7 . 已知定义在
上的增函数
满足:对任意的
都有
且
,函数
满足
,
. 当
时,
,若
在
上取得最大值的
值依次为
,
,…,
,取得最小值的
值依次为
,
,…,
,若
,则
的取值范围为____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0102c694f0d246336867e2fe17116909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711d6e4d873ff21b365e9ed00982447a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec8d82fe0dd2eb26609e6b27168dcdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3f63e341aa4d2fe436053d65098c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/181e9a1eefc2b1e4d53d8d515ae3c1d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa0766aba16fa6ebe08c40bfefeb6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbae0d22d931ac42b565c7990764a2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/596afe6f8149e39c53d36a759bee6151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/770cf3716f1e9dc8023a898df7f33783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/177e54e8deea5da9dc6bc82eb3de0c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f4f8bdb238c2f177e2a41172765b82a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea973ea9b030a360028ae7e7f18a481f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
解题方法
8 . 对于定义域为
的函数
,若存在区间
,使得
同时满足:
①
在区间
上是单调函数;
②当
的定义域为
时,
的值域也为
,则称区间
为该函数的一个“和谐区间”
已知定义在
上的函数
有“和谐区间”,则正整数k取最小值时,实数m的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235b69c35a633494664799f642cf47bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
已知定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/590e9b355752da576aa7f628315e6c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ef658ba0fcda37d15e46fbde0ff0199.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 定义域为R的函数
满足
,且函数
的图象关于直线
对称,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25d29d67ba974c7f766e951f4f4fc303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5cc0a8a4c80f6e1e5bab782894cfe0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
A.![]() ![]() | B.![]() |
C.![]() | D.若![]() ![]() |
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解题方法
10 . 已知函数
、
的定义域均为
,函数
的图象关于点
对称,函数
的图象关于y轴对称,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0272f0e3829877b9eeec92f4fd0c458d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f840aba79ff3352e9d2591d5eaa5e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec59c22478ad9b1920389301c6af32b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b460417b238aeab5ce64df8e0ebcf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f6a3a877d74b10a9f6636cd9e11883.png)
A.![]() | B.![]() | C.3 | D.4 |
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