名校
解题方法
1 . 已知
,
为定义在
上的函数,且对任意的x,y满足:
,且
,则下面说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/109b8acf40088f0385734c68f7b2747f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49a98717f40c32b9ed1a29edc6b9f527.png)
A.![]() |
B.![]() |
C.![]() |
D.若![]() ![]() |
您最近一年使用:0次
2023-08-24更新
|
724次组卷
|
3卷引用:云南师范大学附属中学2024届高三高考适应性月考卷(二)数学试题
解题方法
2 . 已知函数
的定义域为
,对于任意的
,都有
成立,则( )
![](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/f5ab4b75fa22deba7fcbcdcb31dd45b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82bde53de43dda74249725823c0e6610.png)
A.![]() | B.若![]() ![]() |
C.![]() | D.若![]() ![]() |
您最近一年使用:0次
解题方法
3 . 已知函数
对任意
,都有
成立,且当
时,
.有以下结论:
①
;
②
是
上的偶函数,
③若
,则
;
④函数
在
上是减函数.
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9dbe6c97e2ffd3d4dcd75d138fd95f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752d8db8a05b3ec7312f6ac8b64a07.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb2613dda00677d447c986cac505bc.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c9462c98381290a22e97c993ad7108.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5409f79d5899f4822deaf275df1739c8.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
其中所有正确结论的序号是
您最近一年使用:0次
名校
解题方法
4 . 函数
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b6d0f9a0510e3ce906b06caefce9277.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
2023-11-02更新
|
579次组卷
|
3卷引用:云南省昆明市云南师范大学附属中学2023-2024学年高一上学期期中考试数学试题
名校
5 . 已知函数
对任意
,恒有
,且当
时,
.
(1)证明:函数
为奇函数;
(2)求
的值;
(3)
时,
成立,求实数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5223ece2f8f76850c49e2505304532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/656f0b5d3194a8cfef50f8823547ff1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6223eaa360fc1be94d1e0cbd26c3f890.png)
(1)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33421768f9572f4b4251ad78e006dc05.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b61b0d809754857fc67a9e525c2bbe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2675630e0b69c6c0b212bbba464a6456.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-11-02更新
|
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3卷引用:云南省昆明市云南师范大学附属中学2023-2024学年高一上学期期中考试数学试题
解题方法
6 . 函数
的定义域为
,且
与
都为奇函数,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e81e15b871dd32b2438ef8025bcc42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7661d3fc28f785b438ad8c8f9d240a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-08-13更新
|
897次组卷
|
3卷引用:云南省昭通市镇雄县浙江外国语学院附属镇雄中学2024届高考适应性月考(二)数学试题
云南省昭通市镇雄县浙江外国语学院附属镇雄中学2024届高考适应性月考(二)数学试题 江苏省徐州市铜山区铜北中学2022-2023学年高二下学期学情调研数学试题(已下线)考点06 函数的周期性 2024届高考数学考点总动员【练】
7 . 定义在
上的函数
满足
.
(1)求
的值;
(2)判断函数
的奇偶性并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d028846b8614318fbf90387d13c75b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3e1e248aef013c04f927d442f80997.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32822a106d217ffdec43557a236f786.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
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名校
解题方法
8 . 已知函数
对
都有
,若函数
的图象关于直线
对称,且对
,
,当
时,都有
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531fb7015d3229a34bb58292401a4434.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e57fd4660ebab6bd1dfb11329036e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba53065eb180a682305fddb95d14b62f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/673207f6b77b8192d25463d071737b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8749f112832287b0738dd83c5bf255d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83aaf0d80a8b856d9af451adb966d6bd.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2022-12-06更新
|
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5卷引用:云南省大理白族自治州民族中学2022-2023学年高二下学期3月月考数学试题
名校
解题方法
9 . 定义在
上的函数
满足
,当
时,
,则函数
满足( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933093b52cca887f597cbe22a5467b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd384d86840b7b158af41f56fe29c7d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
A.![]() | B.![]() |
C.![]() ![]() ![]() | D.![]() ![]() |
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2022-11-21更新
|
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6卷引用:云南省昆明市第十中学2023届高三数学省测数学纠错试题
10 . 已知函数
及其导函数
的定义域都为
,对于任意的
,都有
成立,则下列说法正确的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ab4b75fa22deba7fcbcdcb31dd45b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92e0efc4bb9daf1e30cd4aaa2dd5ab1.png)
A.![]() |
B.若![]() ![]() |
C.![]() |
D.若![]() ![]() |
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2022-11-16更新
|
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