1 . 符号
表示不超过x的最大整数,如
,
,定义函数
.给出下列四个结论:
①函数
的定义域是R,值域为
;
②方程
有无数个解;
③函数
是增函数;
④函数
是奇函数.
其中正确结论的序号为__________ .(写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec13b2c5950301683e240faf02340617.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150587114b2912d6cee27974aa4cad50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f2754b3b1dad0794ec35a1771e1453.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f344fd588492f8bcbb5f55b2946ea735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
②方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/096c0b91043235e8d883e19b7008c87c.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f344fd588492f8bcbb5f55b2946ea735.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f344fd588492f8bcbb5f55b2946ea735.png)
其中正确结论的序号为
您最近一年使用:0次
2 . 已知函数
的图象与
的图象关于直线
对称,令
,则关于函数
有下列命题:
①
的图象关于原点对称;②
的图象关于
轴对称;
③
的最大值为
;④
在区间
上单调递增.
其中正确命题的序号为___________ (写出所有正确命题的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b43b9ac168348257cf8436046eb107.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9d46b47e710205ed53be72d9abf83b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74314814cdc6fb803abb4692458af131.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74314814cdc6fb803abb4692458af131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74314814cdc6fb803abb4692458af131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74314814cdc6fb803abb4692458af131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74314814cdc6fb803abb4692458af131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c275d203295b989c129101d82e74ae01.png)
其中正确命题的序号为
您最近一年使用:0次
3 . 如果对定义在R上的函数
,对任意两个不相等的实数
都有
,则称函数
为“H函数”.
给出下列函数:
①
;
②
;
③
;
④
.
以上函数是“H函数”的所有序号为__________(把所有正确命题的序号都填上).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adadf0f28bdb6733cb7d588d89dffc1a.png)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572045619978240/1572045625155584/STEM/97c0e8b9da3c448793c6b557cdbdde1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
给出下列函数:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d373b4a763b989a919246d85e3feab9c.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af438f95af6c4b8ec694e96355cd4311.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17e1a2a0846da193b5d2456fff29f7f3.png)
以上函数是“H函数”的所有序号为__________(把所有正确命题的序号都填上).
您最近一年使用:0次
名校
解题方法
4 . 设函数
的定义域为
,给出下列命题:
①若对任意
,均有
,则
一定不是奇函数;
②若对任意
,均有
,则
为奇函数或偶函数;
③若对任意
,均有
,则
必为偶函数;
④若对任意
,均有
,且
为
上增函数,则
必为奇函数;
其中为真命题的序号为__ (请写出所有真命题的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
①若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bb06544da76ec02c74d2adb0a115d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c76849db86d931f64f9e6e65ebce9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/465476d4a842d56606427d597a1abbfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
④若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c76849db86d931f64f9e6e65ebce9c.png)
![](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/09f86f37ec8e15846bd731ab4fcdbacd.png)
其中为真命题的序号为
您最近一年使用:0次
20-21高一·江苏·课后作业
5 . 判断下列说法是否正确,对的填“正确”,错的填“错误”.
(1)若定义在
上的函数
满足
,则函数
是
上的增函数;_________
(2)若定义在
上的函数
满足
,则函数
在
上不是减函数;_________
(3)若定义在
上的函数
在区间
上是增函数,在区间
上也是增函数,则函数
在
上是增函数;_________
(4)若定义在
上的函数
在区间
上是增函数,在区间
上也是增函数,则函数
在
上是增函数._________
(1)若定义在
![](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/cf204e8357b7b74b7056c17aba7d4d9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(2)若定义在
![](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/cf204e8357b7b74b7056c17aba7d4d9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(3)若定义在
![](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/60cce332317884d04b38b1ebe8a50d18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bdfed8d6862125dc1fecfce0322a750.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(4)若定义在
![](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/60cce332317884d04b38b1ebe8a50d18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8938db94f49dcbe0c383fba0241bb0da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
您最近一年使用:0次
名校
6 . 下列说法中,所有正确的命题序号为( )
①在同一坐标系中,函数
与函数
的图象关于
轴对称;
②函数
(
且
)的图象经过顶点
;
③函数
的最大值为1;
④任取
,都有
.
①在同一坐标系中,函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b161347f6a2fcfd9bf0acf1e8a03fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/996a92bcfc7fb20171fa1768d5ffddb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa80ae0b0eab1f14cccf872500f0843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2e1bb3e70e20280047d9b6c546dd16.png)
④任取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf7a904df8f22e3f1e26a4116eb7913.png)
A.①②③④ | B.② | C.①② | D.①②③ |
您最近一年使用:0次
2021-10-24更新
|
1049次组卷
|
3卷引用:北京市第五十五中学2019-2020学年高一上学期期中数学试题
7 . 有关幂函数的下列叙述中,错误的序号是______ .
①幂函数的图像关于原点对称或者关于
轴对称;
②两个幂函数的图像至多有两个交点;
③图像不经过点
的幂函数,一定不关于y轴对称;
④如果两个幂函数有三个公共点,那么这两个函数一定相同.
①幂函数的图像关于原点对称或者关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
②两个幂函数的图像至多有两个交点;
③图像不经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
④如果两个幂函数有三个公共点,那么这两个函数一定相同.
您最近一年使用:0次
名校
8 . 下列说法中:
①函数
与函数
的图象关于
轴对称;
②函数
(
且
)的图象恒过点
;
③函数
的最大值为1;
④任取
,都有
.
所有正确的命题序号为______ .
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc3d36c7faa45fe5dae65a800cb59c19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa80ae0b0eab1f14cccf872500f0843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbfd0c7caacb8f926dbc857f913a6dd.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c69ed50392c036ddbef1d13065e37fb1.png)
④任取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf7a904df8f22e3f1e26a4116eb7913.png)
所有正确的命题序号为
您最近一年使用:0次
名校
解题方法
9 . 给出下列四个命题:
①奇函数的图象一定经过原点;
②偶函数的图象一定关于
轴对称;
③函数
不是奇函数;
④函数
不是偶函数.
其中正确命题序号为__________ .(将你认为正确的都填上)
①奇函数的图象一定经过原点;
②偶函数的图象一定关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c2f1ea2e7e9c92216389d9ba51f27c.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3754b11bedfb4869a5cf95f423d471f.png)
其中正确命题序号为
您最近一年使用:0次
10 . 函数
是区间I上的增函数,对区间I上任意两个不同的值
,
,记
,
,则下列四个结论中:①
;②
;③
;④
,所有正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.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/047360990d25df5ce439f0b690193e30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37f91fc46133396bccbd045c2e717449.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3cdc235fd6166dd6af08621f22e892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69d2e76e447453c0afb0ac75f075a764.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084732d2dd9a196d3e3b38ee8c9539b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/012ec7894e87289affb10883553ab3de.png)
A.①② | B.①③ | C.②③ | D.②③④ |
您最近一年使用:0次