名校
1 . 已知函数
的定义域为R,对任意实数
,
满足
,且
,当
时,
.给出以下结论:①
;②
;③
为R上的减函数;④
为奇函数. 其中正确结论的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657221948689bc58b72ec871eb1ea1cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f451fefd1e370de85a57d30d76fac6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a039b83b7784132b820a32c9894a2b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac65ef4b5cdd7370c09f20ec9e59f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13c432487864c0f12100e46f20f7f86f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b2e8e9a0d7febf73fc557adf3f7806.png)
A.①②④ | B.①② | C.①③ | D.①④ |
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名校
解题方法
2 . 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
3 . 已知函数
,
分别由下表给出,且
,
,则
( )
![](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/1f5f894a13f8915457487f2f28c5e331.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a55043ee4580a89c593deb3e5052e7ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a04dd44a312bfe5d270dd1c5b5b091f.png)
![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | ![]() |
A.0 | B.2 | C.4 | D.8 |
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名校
4 . 若函数
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e1344f928f5a9a076529feaf890e97a.png)
__________ ;
的值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fa65b4dc9946d3869ab0dc5cef86fc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f371a66e550c341c5b913eeaeb084c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ba8366f1078b3add0831c304157dc3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e1344f928f5a9a076529feaf890e97a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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名校
解题方法
5 . 已知定义域为
,值域为
的函数
满足
,
,
.当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/673207f6b77b8192d25463d071737b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33890c6b0bf167514d44139d9dca0154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d13250b9741311635d2f6dd077542b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d87af44c5f53467c0e02e0841df355c.png)
A.![]() |
B.![]() |
C.![]() ![]() |
D.不等式![]() ![]() |
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2024-01-01更新
|
279次组卷
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2卷引用:云南省部分学校2023-2024学年高一上学期期中联考数学试卷
6 . 已知函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7d73f4966f8a468ad63343c4b43242.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed926f10db55a4c9a23d0774f7753f48.png)
A.![]() | B.![]() | C.4 | D.2 |
您最近一年使用:0次
名校
7 . 已知函数
为奇函数,函数
为偶函数,
,则
( )
![](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/14f1492460f2be6131412da7e76e3be3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b735d04e727bc230a4904301a2ae124.png)
A.![]() | B.![]() | C.1 | D.2 |
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解题方法
8 . 已知函数
和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeed28b988584144d03ded81c41c07d4.png)
(1)写出
和
的值域.
(2)小明同学欲判断并证明
在其定义域上的单调性,但他只记得以下步骤,请你帮他完成剩下的证明过程
①取值:②作差:③化简变形:④判断符号:⑤下结论:
(3)若
回答下列问题:
①写出
的解析式;
②求
、
、
的值:求
,
,
的值;
③请写出你发现的规律.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9cde4e66356c5db1ee7c8f115cef315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeed28b988584144d03ded81c41c07d4.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)小明同学欲判断并证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
①取值:②作差:③化简变形:④判断符号:⑤下结论:
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7863b54185da5a3f1a765e1aa0577e76.png)
①写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d55ef0d1b7ea88d92fd6e1ecebb5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4886e28e9ecd40f7edd25f25bde28453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8a2f7d831bd8ac574a3b84b876b001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f484115a9df1b6060d6b14df85c6f38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f3fe63fcceb0a68ab17caeaedafa9d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8df7fe9d72221e29a0111440b740aee.png)
③请写出你发现的规律.
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名校
9 . 已知函数
对于一切
,都有
.
(1)求
并证明
在上
是奇函数;
(2)若
在区间
上是减函数,解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ab4b75fa22deba7fcbcdcb31dd45b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e58768fc0df02f60aa54d00fe063c52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/263a5bf1060a17a2a3f89a663c7a5287.png)
您最近一年使用:0次
2023-12-15更新
|
217次组卷
|
2卷引用:云南省昆明市第八中学2023-2024学年高一上学期12月月考数学试题
名校
10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfd4fbbfa76f7b12dc99733300221512.png)
(1)求
的值.
(2)求证:
是定值.
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfd4fbbfa76f7b12dc99733300221512.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abc6b7bbea0782699a36b825b2b1b0d.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e0b7d88e62d3ed1425e3f80b5e7c6cc.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e0df0922813f5eccfed3b5dcc108ea.png)
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