名校
解题方法
1 . 已知函数
的定义域为
,且
,
,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/0865c21dd3dbe00c7935fbcb41bceb0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d8c7bb4fe82c62be38565dae4d303b7.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-03-04更新
|
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|
4卷引用:广东省梅州市梅县东山中学2023-2024学年高一下学期月考(一)数学试题
名校
解题方法
2 . 已知函数
,函数
与
互为反函数.
(1)若函数
的值域为
,求实数
的取值范围;
(2)求证:函数
仅有1个零点
,且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7f56243e7c102bcea2755b9e5ab8455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f6655e9e9bb9995d0c7e1dd02eb718d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1680e0b88a968543d32bb4ccf820e0d.png)
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2024-03-01更新
|
314次组卷
|
2卷引用:湖北省部分学校2023-2024学年高一上学期期末考试数学试题
名校
解题方法
3 . 函数
,给出下列四个结论:
①
的值域是
;
②
且
,使得
;
③任意
且
,都有
;
④规定
,其中
,则
.
其中,所有正确结论的序号是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7e965fb1d3fbadd5769d86c3853e384.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9faf2212b2e789fe72211ad0b85fad24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ca3ecbbaca8eeb1cfa8f4035f7d5726.png)
③任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea9484fcea82180e9886a18d7a947b03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb572cf70a40f65fb90f3e93cdc439b.png)
④规定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6bcb585a1ef10a3cf0e178782dec40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5664c8ff0e617bbdff16b4470bd198b2.png)
其中,所有正确结论的序号是
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2024-03-01更新
|
187次组卷
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2卷引用:河北省保定市第一中学第八届贯通班2023-2024学年高一下学期第二次阶段测试数学试题
名校
解题方法
4 . 若函数
对定义域内的每一个值
,在其定义域内都存在唯一的
,使
成立,则称该函数为“依赖函数”.
(1)判断函数
是否为“依赖函数”,并说明理由;
(2)若函数
在定义域
(
)上为“依赖函数”,求
的取值范围;
(3)已知函数
在定义域
上为“依赖函数”.若存在实数
,使得对任意的
,不等式
恒成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4920f64bf2d21782d3cc1dcf762a82b6.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5104d5cb070f4821eed3e4b6d4444312.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067a7039d0a209dde7ee2ab83f165cff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbd8466b576ad34d6ef492599940f4b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f537c893dfe2661ba4273cf218c72d34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ed0b4f5d3f3692248103c019dfc7b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a62181e63e71982641232f19bd3b76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3ae0f4860c40e7f07da441d7a082c7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39106d1bdd098fc71c68b9c606891eeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6cfdec5cc7be35e031e3ff6e13f38d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
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2024-03-01更新
|
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|
2卷引用:江苏省无锡市第一中学2023-2024学年高一上学期期末数学试卷
名校
解题方法
5 . 设定义在
上的函数
满足
为奇函数,当
时,
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b81a59c1c237bb74e76b8485433efefd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/459d1d8477fd46ece5a65d40e32b4bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ab30faa78cc53c104f61b1cd906c365.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-02-28更新
|
297次组卷
|
2卷引用:浙江省嘉兴市2023-2024学年高一上学期1月期末检测数学试题
名校
解题方法
6 . 已知函数
的定义域为
,且
,
,若
,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/d52deeaf58fbeea5b382fb3347063a9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f185d10b351d5990e270a76b6ce941c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac908b5b5dd277e8362be45f7f75385.png)
A.![]() |
B.![]() ![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
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|
502次组卷
|
2卷引用:重庆市璧山来凤中学校2023-2024学年高一下学期3月月考数学试题
名校
解题方法
7 . 设函数
的定义域为
,
为奇函数,
为偶函数,当
时,
.若
,则
( )
![](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/1fe17821ea81c6fec60bd5273901bd50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f25990e1d373ac30d7480633e47cc1ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9b9205cf6a58cf9f9fcaab3417519f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de52485227217f25d11676b289fa5c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdff65ed9e7a2ca957f420c40a3a4cb0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-02-17更新
|
394次组卷
|
2卷引用:安徽省A10联盟2023-2024学年高一上学期期末检测数学试卷
8 . 已知函数
,若函数
所有零点的乘积为1,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00660a23d34b28bff918675016329a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063e117674cfa096c5f0aa45f7d663d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-02-17更新
|
199次组卷
|
2卷引用:山东省日照市2023-2024学年高一上学期期末校际联合考试数学试题
解题方法
9 . 已知函数
.
(1)解不等式
;
(2)讨论函数
的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbd9e52b79fb84c320dc522e13d4f0b.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1d6efe63d9798440a8335b3a1f6538a.png)
(2)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c778177da6f3d47b7d7a585bef24124b.png)
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2024-02-14更新
|
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|
3卷引用:福建省厦门市2023-2024学年高一上学期1月期末质量检测数学试题
名校
解题方法
10 . 定义在
上的函数
满足
,且
关于
对称,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20787747d1cf12c7f4028916d62cab98.png)
__________ .(注:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524e95abf6a50e19c040bedb7c2a9a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6214fbda454bf9579c5d0b8142598f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd243fab0af865af67a2ab817e909cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3e46371f310e03a153a1698aad9d4c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d85538db6f828db8f777c33478d664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20787747d1cf12c7f4028916d62cab98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70884a7621a61388c20811f83621522d.png)
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|
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2卷引用:湖北省武汉市华中师范大学第一附属中学2023-2024学年高一上学期1月期末检测数学试题