名校
解题方法
1 . 已知函数
是定义为
,给出下列两个结论:①当
时,都有
,则函数
是
上的增函数;②若函数
满足
,则该函数为奇函数或偶函数.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ba30f1aa5e75750c67b142fc1d7837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c580c971f63b7ae398f7874cbe7e91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d69dbd8880f09843f52cc798aa41b8ac.png)
A.①对②对 | B.①对②错 | C.①错②对 | D.①错②错 |
您最近一年使用:0次
2 . 已知函数
及其导函数
的定义域均为R且连续,记
,若
,
,且对任意的
,
,
,都有
恒成立,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a91e4f3c8930674f98a9fa527709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65a7ec935650f95b04cf360daf583269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56b3dbbcced4dfed3747dd61b03733e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075003acd031c016a78506c4e1b4a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d587d4a242705426467b18abb4aea9f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc7274c2f3ef1bc780bc276d69a1b2f.png)
A.![]() |
B.![]() |
C.函数![]() ![]() |
D.函数![]() ![]() |
您最近一年使用:0次
2024·全国·模拟预测
3 . 德国数学家狄利克雷(Dirichlet)是解析数论的创始人之一,下列关于狄利克雷函数
的结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c52bca8d3ddd1118afbee2bde9c081a2.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
4 . 已知函数
是定义在
上的奇函数,且对任意的
,都有
,且
,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b108daeed07cc138b15d220f397eacd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/443c6b7a42020562dd359c9ba32e9616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09cc2d590d74ecaf47de3b501f355ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00cfbf36c6a6dd8e447c022dedaefaf.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
5 . 函数
在
上的图象是一条连续不断的曲线,且与
轴有且仅有一个交点,对任意
,
,
,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f370a1d4dd341e5ab1774a66c66c1204.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8466638a7b73d4fb96eb8dc40ff431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
A.![]() | B.![]() |
C.![]() ![]() | D.若![]() ![]() |
您最近一年使用:0次
解题方法
6 . 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
解题方法
7 . 已知定义在区间
上,值域为
的函数
满足:①当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
;②对于定义域内任意的实数a、b均满足:
.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9094f0402c953997bfd615321325f77a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80900f266b539470970e665176fe3f1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cc7cc9e2d6cfe945147931be58ca496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb817da8048d55a8c58c28a381e8846.png)
A.![]() |
B.![]() |
C.函数![]() ![]() |
D.函数![]() ![]() |
您最近一年使用:0次
解题方法
8 . 对于定义域为
的函数
,若对任意的
,当
时都有
,则称函数
为“增函数”,若函数
的定义域
,值域为
,则函数
为“增函数”的有( ) 种.
![](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/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/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17a2aa070638443726e3322801c7155.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0953af9758f3469f8bc16a061122a771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.5 | B.6 | C.7 | D.8 |
您最近一年使用:0次
9 . 已知函数
的定义域为
.
命题
:若当
时,都有
,则函数
是D上的奇函数.
命题
:若当
时,都有
,则函数
是D上的增函数.
下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbcba9ab52d6b482665b3c174c763eb6.png)
命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/621dcdcda531ea579ce0af1380e602d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1f95db0eedb357ee977acb20633f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/580c300d1699fc2145c914a0c99ae585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5388a6f23531c3fdd1a32f0cc6a6e8a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
下列说法正确的是( )
A.p、q都是真命题 | B.p是真命题,q是假命题 |
C.p是假命题,q是真命题 | D.p、q都是假命题 |
您最近一年使用:0次
名校
10 . 已知函数
满足
,当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33c5c3f7f8c66c5deab16118ecb962e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8147893347620a7099b55a0cda797b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2e0bb6d63b7bcaee92a470d58cc399.png)
A.![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
您最近一年使用:0次