名校
1 . 已知符号函数
,偶函数
满足
,当
时,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33c94c25ef8460a528557303b7e61021.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e298fe246eef819dd9b1edabe3bb9cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
2 . 已知函数
的定义城为R,且满足
,
,且当
时,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b47144278d622b666fcff69aee5abc5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28abdc5a6417da0a94a334e7d955794c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbb01a7f5e9861aa185c6c63fcd58c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b7b0deaff280ebbee0f91be5acd20d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db966991f5c33aaed168f3c1424612c2.png)
A.![]() | B.![]() | C.3 | D.4 |
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2023-09-04更新
|
1587次组卷
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7卷引用:江苏省扬州中学2023-2024学年高三上学期开学检测数学试题
名校
解题方法
3 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d4e5eca39eead14e4f438f5a9aa30fb.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414e73926d73c2dd2409703e2e9e1bd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d4e5eca39eead14e4f438f5a9aa30fb.png)
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2023-09-03更新
|
569次组卷
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7卷引用:全国名校大联考2023-2024学年高三上学期第一联考(月考)数学试题
解题方法
4 . 设
是定义在R上的奇函数,且对任意实数x,恒有
,当
时,
.
(1)求证:
是周期函数;
(2)当
时,求
的解析式;
(3)计算
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86d78dec1c1e00ec02d7bdaf76ef8901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790daaa89fc9d093f45023becf765697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3262781afb71e9dffc0b7fa1fe280cb2.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad814089e37543b2f547af9ae75b6dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bee0917aecb4103c0943d25d8c9a98f.png)
您最近一年使用:0次
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解题方法
5 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5215a578933ba72022450a6d3a37d14.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a773892246ca8b70b2d527497607493e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5215a578933ba72022450a6d3a37d14.png)
您最近一年使用:0次
2023-08-22更新
|
419次组卷
|
2卷引用:新疆阿克苏市实验中学2023-2024学年高三上学期第一次月考数学试题
名校
解题方法
6 . 设
是定义在
上的奇函数,且对任意实数
,恒有
.当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/651492c53f8747a2da821e502a813313.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933093b52cca887f597cbe22a5467b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a294ac176a455e749d73aedb6eb7f3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86151899e2219e45528942fb7e85ae9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3262781afb71e9dffc0b7fa1fe280cb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/651492c53f8747a2da821e502a813313.png)
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2023-08-07更新
|
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5卷引用:甘肃省兰州成功学校2024届高三上学期第二次月考数学试题
2023高三·全国·专题练习
7 . 函数
的定义域为
,其图像如图所示.函数
是定义域为R的奇函数,满足
,且当
时,
.给出下列三个结论:
①
;
②函数
在
上有且仅有3个零点;
③不等式
的解集为
.
其中,正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e0fa87135405d7ea0800ccc5954cc87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047056c99b39c70fa40d3c8178e5b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d1a94ea3c278c2197572cc1b7725b1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/15/79b29c51-cca5-40a4-ac51-7ed35eb97419.png?resizew=179)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2e2f931ab87773b8d3b0984686fdf12.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d82ec141c8e84ac00891f48577052e4.png)
③不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d5f74bcf329df593c2e37610439c613.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6640970eb4100af0717eae293ef429e2.png)
其中,正确结论的序号是
您最近一年使用:0次
名校
解题方法
8 . 定义在R上的函数
满足
,且当
,则
=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dc9538dc75c0bd581862acf38004b49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1cddf04ce7f2b4015253d8b8a9bfcb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f16274ed3be91f1c9b7abe08990442cf.png)
您最近一年使用:0次
2023-07-11更新
|
946次组卷
|
3卷引用:黑龙江省佳木斯市第一中学2022-2023学年高三第一次调研考试数学试题
名校
9 . 下列命题为真命题的是( )
A.若幂函数![]() ![]() ![]() |
B.函数![]() ![]() ![]() ![]() |
C.![]() ![]() ![]() ![]() |
D.函数![]() ![]() |
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2023-07-10更新
|
382次组卷
|
3卷引用:山西省大同市第二中学校2024届高三上学期九月月考数学试题
名校
解题方法
10 . 设
是定义域为R的奇函数,且
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/677e1ec8c9912eca7d757bfdb3abf2a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d45af87a3c97cf74f6bd13977827315d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0b5758409731f247cb3063ef0948e3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-07-08更新
|
1108次组卷
|
6卷引用:天津市蓟州区擂鼓台中学2023-2024学年高三上学期暑假开学练习数学试题
天津市蓟州区擂鼓台中学2023-2024学年高三上学期暑假开学练习数学试题天津市新华中学2024届高三上学期第一次月考数学试题天津市河西区2022-2023学年高二下学期期末数学试题(已下线)FHsx1225yl022福建省福州市闽侯县第一中学2023-2024学年高二下学期第二次月考(5月)数学试题(已下线)专题03 函数导数简单应用(六大题型)-【好题汇编】备战2023-2024学年高二数学下学期期末真题分类汇编(天津专用)