解题方法
1 . 已知函数
是偶函数,对任意
均有
,则下列正确结论的序号为( )
①
;②
是奇函数;③直线
是
图像的一条对称轴;④记
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d002f6523eb2b55e6c70b2b939c5caad.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17ee5f43412795671704ab0e8d0b2f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a61de40c2ca48ebd5ccf6cbc9be053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/224d30ca84f1aeeeda7a718e751a4925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a80ff303049425be87fc2ef0f309e8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18414e37f8007ed9aad25845e223949.png)
A.①②④ | B.①③④ | C.①④ | D.②③ |
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名校
2 . 若
为
上的奇函数,且满足
,对于下列命题:①
;②
是以4为周期的周期函数;③
的图像关于
对称;④
.其中正确命题的序号为_________
![](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/b85562a6f6b3eeed84eed60281defe0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec65a2bec3d4296c613a80b3ae41d5e.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/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26ae9fbc747843a9db6f04d2806c21aa.png)
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2019-07-15更新
|
911次组卷
|
2卷引用:江西省泰和中学2022-2023学年高一上学期期末数学试题
名校
3 . 设
是定义在R上的奇函数,在
上单调递减,且
,给出下列四个结论:
①
;②
是以2为周期的函数;
③
在
上单调递减;④
为奇函数.
其中正确命题序号为____________________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034b1f5ba40bb5f9fefea188ef90a0e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28266d15eb3ce27aa1140780c7255171.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1d22f794d1a79ad925c7b39be608451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f4c4985f8a820372f1349f21f8dc31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7479276dbd621fa9b35751c2f6c17830.png)
其中正确命题序号为
您最近一年使用:0次
2018-07-07更新
|
878次组卷
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2卷引用:江西省遂川中学2022-2023学年高一上学期期末考试数学试题
名校
4 . 有四个幂函数:①
;②
;③
;④
.某同学研究了其中的一个函数,并给出这个函数的三个性质:(1)偶函数;(2)值域是
,且
;(3)在
上是增函数.如果给出的三个性质中,有两个正确,一个错误,则他研究的函数是___________ .(填序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd988a227f0bf3744b361558acc4ea8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e62db7dce98b4954a0bf3fcb7ac2603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3daad3a31a3597f75fa109736ed2ebf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351c2cb070c6d4c0b91f9245bd2e6f8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c627ca8b294c1b379c35dd0869c00c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/835e2ef451da38706adc5bbc282f7ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2edd8edcb21bd41584daf9bb95a5c7.png)
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2022-11-28更新
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252次组卷
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3卷引用:江西省南昌市青山湖区南昌大学附中2023-2024学年高一上学期期中数学试题
江西省南昌市青山湖区南昌大学附中2023-2024学年高一上学期期中数学试题(已下线)第六章 幂函数、指数函数和对数函数(单元重点综合测试)-速记·巧练(苏教版2019必修第一册)江苏省扬州市第一中学2022-2023学年高一上学期期中数学试题
解题方法
5 . 已知定义在
上的函数
关于
对称,且
是奇函数,则下列说法中正确的有__________ .(填正确选项的序号)
①
;②
;
③
;④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25bacb5a64d4ae725bfcce99f0496dfb.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8f303c0fd77001dd988ebfacaed4cde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7863aa55ccf1a7c783f45502305718f.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a431537df789febf4bc45e3dc23cefaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879be2c4c67dd4aba039907aa9c6d01c.png)
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