名校
1 . 对于定义在
上的函数
,有下列四个命题:
①若
是奇函数,则
的图象关于点
对称;
②若对
,有
,则
的图象关于直线
对称;
③若对
,有
,则
的图象关于点
对称;
④函数
与函数
的图像关于直线
对称.
其中正确命题的序号为__________ .(把你认为正确命题的序号都填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c3dd8fa2dc8c0c7e255bfb054ad34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
②若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17a3556b7e9458ec54d4cf1de17a5649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
③若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e21b60b8b5fffe78a4fe3aed643ed925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d4755d367c39d8d063ad5c19d244370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb914a7e9e4f27aa4170fd2351cbf27f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
其中正确命题的序号为
您最近一年使用:0次
2019-02-09更新
|
1218次组卷
|
3卷引用:【市级联考】湖南省益阳市2018-2019学年高一上学期期末统考数学试题
解题方法
2 . 已知函数
,给出下列命题:
①
,使
为偶函数;
②若
,则
的图象关于
对称;
③若
,则
在区间
上是增函数;
④若
,则函数
有2个零点.
其中正确命题的序号为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b9b8ebe4891ba96eb7ee9e720668d5.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05595aa7994885ed05f1de0033da31a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90273593dca08da1b9e33e3a8663c514.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.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/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92a06dbd1f872110960fe075c079aa67.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efd8c7152402dd8cb49b68996655c152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50586d67e9c986b57a2a78ab9c187214.png)
其中正确命题的序号为
您最近一年使用:0次
解题方法
3 . 给出下列命题:
(1)设
与
是定义在
上的两个函数,若
恒成立,且
为奇函数,则
也是奇函数;
(2)若
,都有
成立,且函数
在
上递增,则
在
上也递增;
(3)已知
,函数
,若函数
在
上的最大值比最小值多
,则实数
的取值集合为
;
(4)存在不同的实数
,使得关于
的方程
的根的个数为2个、4个、5个、8个.
则所有正确命题的序号为________ .
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/336e7d6695009a422894a9bb2fb487cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e313aace4a21c98c57a85013b2672af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b24ff3b1b33d0780307e5d6e003d6ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cfcc567b95a320abcb25509923cd001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/810949b76573ccd9d43af3815299d443.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0e04ac605a80237199e8035a7cb21a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533a7b702ada1dd80123e4041271d521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f748c482eb0ff867207a3ddc388abe0c.png)
(4)存在不同的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50c9d287804b33542a3b71c86f94ad07.png)
则所有正确命题的序号为
您最近一年使用:0次
名校
4 . 已知
为
上的偶函数,对任意
都有
且当
,
时,有
成立,给出四个命题:①
;②直线
是函数
的图像的一条对称轴;③函数
在
上为增函数;④函数
在
上有四个零点,其中所有正确命题的序号为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed586e332a074da6f8aa7789ff097c62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f823dee1706b2dc44ecf54112d294028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a57d6d7b74ae630e6ce3b43afe6060.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee64d91962737f227ea7526db98bcf61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb489e91a4b601413959b0954531df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f77200105efc579da887be0dd06ee6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1431d051801f96ec5135b57da7e996.png)
您最近一年使用:0次
2016-12-03更新
|
888次组卷
|
5卷引用:2014-2015学年湖南省浏阳、攸县、醴陵一中高一12月联考数学试卷
2014-2015学年湖南省浏阳、攸县、醴陵一中高一12月联考数学试卷2015-2016学年陕西西藏民族学院附中高一上期末数学试卷四川省树德中学2020-2021学年高一上学期12月阶段性测试数学试题江西省赣州市会昌中学2020-2021学年高一上学期第二次月考数学试题(已下线)类型四 函数间的互相联系-【题型突破】备战2022年高考数学二轮基础题型+重难题型突破(新高考专用)
5 . 定义全集
的子集
的特征函数
,这里
表示
在全集
中的补集,那么对于集合
、
,下列所有正确说法的序号是______ .
(1)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9035cc9d963cb84c8da6014a6e062f6b.png)
(3)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2193c95efaedd61ff49a7ff91df9e97a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c093cbde3d3472d1f7f2b0dff2bc4881.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c38edfcbc6d0348a9fc75376f629909.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a11863d06650c0adafb18d2909336e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9035cc9d963cb84c8da6014a6e062f6b.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6409ca7b7ab3c4aa4e0b9abc8d2cb066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/749b06c4f14826c3b0a5b37e4356aa64.png)
您最近一年使用:0次
2020-02-23更新
|
1063次组卷
|
4卷引用:湖南省衡阳县创新实验班2019-2020学年高一上学期期末数学试题
湖南省衡阳县创新实验班2019-2020学年高一上学期期末数学试题重庆市万州二中教育集团2022-2023学年高一上学期第一次质量检测数学试题(已下线)高一上学期期中考试填空题压轴题50题专练-举一反三系列上海市七宝中学、松江一中、松江二中2024届高三上学期11月联考数学试题
14-15高一上·湖南·期末
6 . 在平面直角坐标系内,设
、
为不同的两点,直线
的方程为
, 设
有下列四个说法:
①存在实数
,使点
在直线
上;
②若
,则过
、
两点的直线与直线
平行;
③若
,则直线
经过线段
的中点;
④若
,则点
、
在直线
的同侧,且直线
与线段
的延长线相交
上述说法中,所有正确说法的序号是_____________
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/f04ec3c0af7e4d2f9e230d8dfdce1a53.png?resizew=67)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/efadc7f0be644e829aca6f2026d81594.png?resizew=67)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/844046db10fc4179ba8f3bb4b5f4e832.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/c5e37406297c4cc0b7a3a3977001c165.png?resizew=99)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/12d4558f9ca74d0391b0c3e19d8ba5d1.png?resizew=117)
①存在实数
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/b2a6ae7937424fb785f53e040aac9f3b.png?resizew=15)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/ceacd8043356434a835a6434856ddce3.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/844046db10fc4179ba8f3bb4b5f4e832.png?resizew=9)
②若
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/3eecf3a886884412b0e438e21231171b.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/8aab72ce677146d191625325eef9351b.png?resizew=21)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/ceacd8043356434a835a6434856ddce3.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/844046db10fc4179ba8f3bb4b5f4e832.png?resizew=9)
③若
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/0ee1eee61ac14a10914e8d2d17de77b4.png?resizew=47)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/844046db10fc4179ba8f3bb4b5f4e832.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/87e7a3ca0b2441a6aab5f3d60f715a74.png?resizew=31)
④若
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/5791add589924e8cacfaf9ceeb324072.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/8aab72ce677146d191625325eef9351b.png?resizew=21)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/ceacd8043356434a835a6434856ddce3.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/844046db10fc4179ba8f3bb4b5f4e832.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/203e1bf9fdaf441a827a51c2bff2fce9.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571538912477184/1571538918326272/STEM/87e7a3ca0b2441a6aab5f3d60f715a74.png?resizew=31)
上述说法中,所有正确说法的序号是
您最近一年使用:0次