解题方法
1 . 已知定义在
上的函数
满足
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2092b469eabbcb5d4c91b48a9332c17b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c78386610501d06cd65b9ef5b5008f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
2 . 已知函数
的定义域均为R,函数
的图象关于原点对称,函数
的图象关于y轴对称,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8586e22c48d0cbe3e05b13a587276020.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62932e8fa312b8aa9cd882df8b67f659.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fb5e3c82f6a63eff281d22c5dce3717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3271fc0fd59036ecf1e85e7264966f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dcc0fc71d90def57af858af9ca180e1.png)
A.![]() | B.![]() | C.3 | D.4 |
您最近一年使用:0次
解题方法
3 . 已知
为定义在R上且不恒为零的函数,若对
,都有
成立,则下列说法中正确的有( )个.
①
;
②若当
时,
,则函数
在
单调递增;
③对
,
;
④若
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f70e0db0174a2c05b28fb6d0c2508778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86ec87e9730dbedf48cabae579c249f.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f579faac22a78b4740d7cf18879a6e11.png)
②若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab409bb25958c2f01c73e26042c6f51e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
③对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b78297a65e7fad69635b19928ecc10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/534f26ed8e5fffcdfdb171dae6e3a571.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d49692fecac2b7f491e434493fa12a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233c9f0779f669214ac51679d7112061.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
4 . 若定义在
上的函数
满足
,且值域为
,则以下结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a83609aada61a1a488a8edddc4c21021.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a32cee2ccf0a041d2e81f4a68dea7b.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
5 . 若正整数
,
只有1为公约数,则称
,
互质.对于正整数
,
是小于或等于
的正整数中与
互质的数的个数,函数
以其首位研究者欧拉命名,称为欧拉函数,例如:
,
,
,则下列说法正确的序号是____________ .
①
;
②
;
③
;
④
,
是正整数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc89a53c03cb86fb653bb82128f6cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc89a53c03cb86fb653bb82128f6cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea1d22420e844884025655b0893066e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bb88141edd6ddf3efbede1cb9b9051.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a7b9b161fc14121365cdf150e3f7784.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/576768464f2ffb8473c1974bc159345c.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c404a12f24a8e5b02c0e48398c7efb67.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a06e232571567922390ffbd57494d92a.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b5bb50b494f7ba970d407b990b52af8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
6 . 已知函数
的定义域为
.对任意的
恒有
,且
,
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e764259da2c663f711c3831139f67ebb.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2372f424431ce7b547a66b7d61d75421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ab4b75fa22deba7fcbcdcb31dd45b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d9e7ca007e45dfb2d8e1078ad29f42c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed670b1f668778c6243f3f7470ee7d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec65a2bec3d4296c613a80b3ae41d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e764259da2c663f711c3831139f67ebb.png)
您最近一年使用:0次
7 . 已知函数
及其导函数
的定义域均为
,若
是奇函数,且对任意的实数
都有
,
,
,则
=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](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/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92b6024298aac1cf51853a5f3fc3215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6cd4ebd2a9f1be8e7ff6b06f9b9bead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/671147d3d079421becbbb046d5baf8b7.png)
您最近一年使用:0次
解题方法
8 . 已知函数
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149f4379d358e4111d90825029e4fb34.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
9 .
且
,则
等于______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/325fe65ac16ff9147c76682d4c581b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef2635c6e599f816c706e471a3c197d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d55ef0d1b7ea88d92fd6e1ecebb5f5.png)
您最近一年使用:0次
2024高三·全国·专题练习
10 . 已知函数
在区间
上单调递增,直线
和
为函数
图象的两条相邻对称轴,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a067e86ae162185a04bdf862b40cd255.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a7a07d85728c2c9fe0008febd6185e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c6cb0cc172657611e286e7fa669584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4eae5056ae4e4f11c49fe4b1fb67908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba3336ecfd907fc8f300fd91c125aece.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次