名校
1 . 在下列命题中,正确命题的序号为___________ .(写出所有正确命题的序号)
①函数
的最小值为
;
②已知定义在
上周期为4的函数
满足
,则
一定为偶函数;
③定义在
上的函数
既是奇函数又是以2为周期的周期函数,则
;
④已知函数
,若
,则
.
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/800e649f49ad991b8eca1933d02a5ca2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8aae28ca96120a3ec1f4ce541db3580.png)
②已知定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aeeb9b81e3c6a0d36add7093b657832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
③定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9626c180cc029e80e9b3b008038c67d.png)
④已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7192d87d0fa400d5d7dba57924bbbe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ecda7bfb0a2043306bf7707a136ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f74fe8b70a97156754d8e878f6607719.png)
您最近一年使用:0次
解题方法
2 . 已知函数
,现给出下列四个说法:
①
是周期函数;②
有无数个零点;③
是奇函数;④
.
其中所有正确说法的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3207ceddc981c5bc86351b485e55dbd.png)
①
![](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/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/175ead8ebfd36b5df0bf77673ea5dd82.png)
其中所有正确说法的序号为( )
A.②③ | B.①②③ | C.②③④ | D.①②③④ |
您最近一年使用:0次
2023-01-13更新
|
103次组卷
|
4卷引用:云南省楚雄州2022届高三上学期期末教育学业质量监测数学(文)试题
名校
解题方法
3 . 已知函数
,则下列说法中:
①函数
的图象关于点
中心对称;
②函数
的值域为
;
③函数
的所有零点之和大于0.
其中所有正确说法的序号为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feff8848183cdbdb041cd430536130d4.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f61d060b46e13cdbf0f7a9c90b14861.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b094cba781181aeb90752170e9ba6c94.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ed0a706f0f99690a25194a4586cea66.png)
其中所有正确说法的序号为
您最近一年使用:0次
4 . 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
的下列4个结论:
①函数
的图象关于原点对称;
②函数
为偶函数;
③函数
的最小值为0;
④函数
在
上为增函数
其中,正确结论的序号为__ .(将你认为正确结论的序号都填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679da8a975f3a340f456d205b9da9a42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d5f98bea9b91b4a1bcc6afa13f3967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
其中,正确结论的序号为
您最近一年使用:0次
解题方法
5 . 某同学在研究函数
时,得到以下几个结论:
①函数f(x)是奇函数;
②函数f(x)的值域是[﹣1,1];
③函数f(x)在
上是增函数;
④函数g(x)=f(x)﹣m(m是常数)必有一个零点.
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/859867e84526f7607c4f67e252c26cb3.png)
①函数f(x)是奇函数;
②函数f(x)的值域是[﹣1,1];
③函数f(x)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
④函数g(x)=f(x)﹣m(m是常数)必有一个零点.
其中正确结论的序号为
您最近一年使用:0次
12-13高三上·广东中山·期末
6 . 已知函数
的图象与函数g(x)的图象关于直线
对称,令
则关于函数h(x)有下列命题:
①
为图象关于y轴对称; ②
是奇函数;
③
的最小值为0; ④
在(0,1)上为减函数
其中正确命题的序号为 (注:将所有正确命题的序号都填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee6881a170f6ef9ed5c133b95c2f448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab44adf3141466c80945ab13c0a2ffe0.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
其中正确命题的序号为 (注:将所有正确命题的序号都填上)
您最近一年使用:0次
名校
7 . 已知定义域为
的函数
同时满足:
①对于任意的
,总有
;
②若
,
,
,则有
;③
;
以下命题中正确的命题的序号为__________ .(请写出所有正确的命题的序号)
(1)
;
(2)函数
的最大值为
;
(3)函数
对一切实数
,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12aae852c3129efc16934aefc54201f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24cd2fe62ffe3caa1c6f7976851c9dc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2f51cd760aeff9365b51e9a85b41e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a55141a7ecd250e67d1228bdc3a1c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
以下命题中正确的命题的序号为
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea8bf593f594c51fc7cc547482bee.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d3c756a52c9185ae6d02d9b9312f29.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
,函数
的最小值记为
,给出下面四个结论:
①
的最小值为0;
②
的最大值为3;
③若
在
上单调递减,则
的取值范围为
;
④若存在
,对于任意的
,
,则
的可能值共有4 个;
则全部正确命题的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efee94d8d161b6471d4c6e89a153af7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a239d924a26dbc7f33052c63a20a327a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a239d924a26dbc7f33052c63a20a327a.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a239d924a26dbc7f33052c63a20a327a.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c82644f77c5455ceb7f94950e94273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/573490ed07601c52a92d4a374db57d95.png)
④若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51159984b2cb00f30b3986315019623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05ccecaf28ac8d62d16577082832dab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
则全部正确命题的序号为
您最近一年使用:0次
2023-03-07更新
|
1330次组卷
|
5卷引用:北京中央民族大学附属中学2023届高三零模数学试题
北京中央民族大学附属中学2023届高三零模数学试题(已下线)北京市中央民族大学附属中学2023届高三零模数学试题山东师范大学附属中学幸福柳分校2023-2024学年高一上学期期中考试数学试题(已下线)第三章 函数的概念与性质-【优化数学】单元测试能力卷(人教A版2019)(已下线)专题6 绝对值函数中参数问题(每日一题)
9 . 函数
图象上不同两点
,
处的切线的斜率分别是
,
,规定
叫做曲线
在点
与点
之间的“弯曲度”,给出以下命题:①函数
图象上两点
与
的横坐标分别为1,2,则
;②存在这样的函数,图象上任意两点之间的“弯曲度”为常数;③设点
、
是抛物线
上不同的两点,则
;④设曲线
上不同两点
,
,且
,若
恒成立,则实数
的取值范围是
.以上正确命题的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05193d9096bd9da9230acc14228aa4e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4920bf4db93b18d4ecfdc05e310dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8605ae9897d5d6f0679b4aa80e014bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b3e87e9bb00d9ba09cb5660aebd76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ee4222da9e1c0341066ac70fd7fab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f63710d6fa1a1d49e2d6c5e01eb6478e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316db967a70305dcd846281b29f421db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b629bea8e22de9bfc49158e2289871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad613217bdff0b1c225e3e5ca31eec4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f2eff609c6043c2a89a6dd163fe2244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05193d9096bd9da9230acc14228aa4e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4920bf4db93b18d4ecfdc05e310dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08aeab36f3c3546b641470aad464ebd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d54d4444cd3d44a4e72c68a6013a21d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d8fcaef916db4b90e9ce3054974759.png)
A.①② | B.②③ | C.③④ | D.②③④ |
您最近一年使用:0次
10 . 定义:若整数
满足:
,称
为离实数
最近的整数,记作
.给出函数
的四个命题:
①函数
的定义域为
,值域为
;
②函数
是周期函数,最小正周期为
;
③函数
在
上是增函数;
④函数
的图象关于直线
对称.
其中所有的正确命题的序号为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b6800621bfb6d2da44092b8e7e4ff81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1d40d3e5aab8f43ba6e28156c326c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a39d129fa0aa81aa70a5d4cad101b6e9.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd2a526959a95e06a82a95a62c777fd.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd2a526959a95e06a82a95a62c777fd.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ddf8269a9f1c05759a846b9d97aef83.png)
其中所有的正确命题的序号为
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次