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
名校
解题方法
3 . 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
名校
解题方法
4 . 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
20-21高一·上海·假期作业
5 . 已知函数
的图象与函数
的图象关于直线
对称,令
,则关于函数
有下列命题:
①
为偶函数; ②
的图象关于直线
对称;
③
在
上为减函数; ④
的最小值为0.
其中正确命题的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/026fa14f66c6bca69b94c37d37e21642.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/205800d3a62425b3d1bd5e3fb9bb61b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b650820d7bed48ed67a2869ad8c65ff1.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf40534683bc7d708804ff3d0ec7deb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
其中正确命题的序号为
您最近一年使用:0次
名校
6 . 给出下列几种说法:
①若
,则
;
②若
,则
;
③
为奇函数;
④
为定义域内的减函数;
⑤若函数
是函数
(
且
)的反函数,且
,则
,其中说法正确的序号为_________ .
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431c9628813533a101cca8d8d47a2498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a8c9f990fc696c4b27d02cb9e92fe9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1bad1ee89378076927702a3b7385cf8.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd6b1b690425cf8dd7427f978774463.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c9320d009a17deba67f208c7d8be8c.png)
⑤若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.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/af9da4fdfdddc259dcef9fdd4b826b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9fc1d3731b6cde045ddfce45737248.png)
您最近一年使用:0次
2017-02-08更新
|
588次组卷
|
2卷引用:2016-2017学年云南曲靖一中高一上期中数学试卷
解题方法
7 . 下列四个结论中:(1)如果两个函数都是增函数,那么这两函数的积运算所得函数为增函数;(2)奇函数
在
上是增函数,则
在
上为增函数;(3)既是奇函数又是偶函数的函数只有一个;(4)若函数
的最小值是
,最大值是
,则
值域为
.其中正确结论的序号为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b029e85e686623cdef977b2cb1f207a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
您最近一年使用:0次
解题方法
8 . 已知函数
,给出下列命题:
①
,使
为偶函数;
②若
,则
的图像关于
对称;
③若
,则
在区间
上是单调递增函数;
④若
,则函数
有
个零点,
其中正确命题的序号为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e966c64fb29732704e489fe29c57aea0.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee4eee6c68e48303626cac0982a31615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e9c518d889fe12a5d73ad829bb36e7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c8e281e0aebdba052969bf11cf86430.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a8b8044825d59a09d5ff2efdc42981.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efd8c7152402dd8cb49b68996655c152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d92c9a0357b6edcb31ca7eb03f5bd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
其中正确命题的序号为
您最近一年使用:0次
9 . 关于
的函数
有以下说法:
①对任意的
,
都是非奇非偶函数;
②不存在
,使
既是奇函数,又是偶函数;
③存在
,使
是奇函数;
④对任意的
,
都不是偶函数.
其中错误的说法是________ .(写出所有错误说法的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ea070a08757077f748e0b631168483.png)
①对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②不存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
④对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
其中错误的说法是
您最近一年使用:0次
2019-10-09更新
|
225次组卷
|
3卷引用:人教A版 必杀技 第一章 三角函数 1.4.2 正弦函数、余弦函数的性质
人教A版 必杀技 第一章 三角函数 1.4.2 正弦函数、余弦函数的性质人教A版(2019) 必修第一册 必杀技 第五章 5.4.2 正弦函数、余弦函数的性质(已下线)7.3.2正弦函数、余弦函数的性质(一)(备作业)-【上好课】2021-2022学年高一数学同步备课系列(苏教版2019必修第一册)
10 . 已知点
在幂函数
的图像上,有以下4种说法:
①
为奇函数;
②
为偶函数;
③
在
上单调递增;
④
在
上单调递减.
其中所有正确说法的序号是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afaaa6eb6cf000f00006d2f6fa85b76d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5236e329f12f8d2a611f5ab5ca5fee11.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
其中所有正确说法的序号是
您最近一年使用:0次