1 . 已知函数
满足
对于
恒成立,设
则下列不等关系正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9470e429c8833930e9294e2638648784.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb780dc4eb1fbb5dcbd262a034e16049.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2 . 若定义域为
的函数
满足
,则称
为“a型”弱对称函数.
(1)若函数
为“1型”弱对称函数,求m的值;
(2)已知函数
为“2型”弱对称函数,且函数
恰有101个零点
,若
>λ对任意满足条件函数
的恒成立,求λ的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4827a197a9cd1b3c85f2d5978e4c6d80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/975509c6b9a509d1248103c3eabd772c.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acd063c467e217bcecc134a88f049294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223f1ef2e43c65abdc79b6148e7c964f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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2022-06-30更新
|
616次组卷
|
2卷引用:江苏省盐城市2021-2022学年高一下学期期末数学试题
名校
解题方法
3 . 已知定义在R上的奇函数
满足
,且当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048f8d3ee5bf62cefacbd0ee25839932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d761c4444f5eac17133caaf19d6b9ef.png)
A.关于x的方程![]() ![]() ![]() |
B.关于x的方程![]() ![]() ![]() |
C.若函数![]() ![]() ![]() ![]() |
D.若函数![]() ![]() ![]() ![]() |
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2022-11-14更新
|
590次组卷
|
2卷引用:江苏省苏州中学2022-2023学年高一上学期期中数学试题
名校
解题方法
4 . 在平面直角坐标系
中,若对于曲线
上的任意点
,都存在曲线
上的点
,使得
成立,则称函数
具备“
性质”.则下列函数具备“
性质”的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da983aa9df47f0b324f72dc3e44e9f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e16415b61722f9961e412386e6819f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e16415b61722f9961e412386e6819f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2022-01-31更新
|
630次组卷
|
2卷引用:江苏省苏北四市(徐州、淮安、宿迁、连云港)2021-2022学年高三上学期期末联考数学试题
名校
解题方法
5 . 已知函数f(x)=ln(
+x)+x5+3,函数g(x)满足g(-x)+g(x)=6.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3657d344505064db27c25b7f30b6bba.png)
A.f(lg3)+f(lg![]() |
B.函数g(x)的图象关于点(3,0)对称 |
C.若实数a,b满足f(a)+f(b)>6,则a+b>0 |
D.若函数f(x)与g(x)图象的交点为(x1,y1),(x2,y2),(x3,y3),则x1+x2+x3+y1+y2+y3=6 |
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2021-10-29更新
|
952次组卷
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3卷引用:江苏省南京市第十三中学2022-2023学年高一上学期11月月考数学试题
名校
6 . 已知函数
.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b798a026786b9aea3d63ce85c45ab30.png)
A.当![]() ![]() ![]() |
B.当![]() ![]() ![]() |
C.![]() |
D.若存在实数![]() ![]() ![]() ![]() |
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2021-09-08更新
|
963次组卷
|
4卷引用:江苏省南京航空航天大学附属高级中学2022-2023学年高三上学期10月月考数学试题
名校
解题方法
7 . 已知函数
.
(1)若关于x的不等式
的解集为
,求
的零点;
(2)若函数
在
的最大值是11,求实数a的值;
(3)定义:区间![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351629c193354cdcf202133052e45028.png)
的长度为
.若在任意的长度为1的区间上,存在两点函数值之差的绝对值不小于1,求实数a的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239047977d91eb9898ac1fc2c9163da9.png)
(1)若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b6a1abada10a8da1b5e9f03fdaf60e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d65f5bc8b0b92bf2b7c8fbff4146bae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
(3)定义:区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351629c193354cdcf202133052e45028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b5f32c09caa0be0d4c33be07aa4530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c54705d32dc6820f1a90eec2225dcf.png)
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2022-02-10更新
|
559次组卷
|
2卷引用:江苏省淮安市2021-2022学年高一上学期期末数学试题
名校
8 . 函数
满足
且
,则称函数
为M函数.当
时,
,
,且
,
均为M函数,则方程
在区间
上所有根的和为______ .(参考数据:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d61f63c51f3b3ec2ee91f24ffcac6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd51b3cbd5dc46c1788178fd89dfb9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d30b193d1befc87b1a2a400e39b9b4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1da9aa9c7764d416d2b01f78d3e13ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d61cd826015d9bcee4ef27405aafa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6ec0c3b57cf29ecf13ab8f1b0238df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de34ace0ee4ecbf7c4fe7cf494dbca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35b7cfcc147916ae7eeb5d557fea945e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25522700e456c259978a6d762e818572.png)
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2022-01-26更新
|
523次组卷
|
3卷引用:江苏省扬州中学2021-2022学年高一下学期开学考试数学试题
名校
9 . 对于正整数
,函数
定义如下:
对于实数
,记方程
的不同实数解的个数为
,求使得函数
的最大值为4的所有正整数
的和为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab9ea375c58fdc6611d86512b7284b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976d18a5396ba232f0aa38d136f1d749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a82a1224e47f31ecdfffd328d5a3ab6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a82a1224e47f31ecdfffd328d5a3ab6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2022-12-27更新
|
471次组卷
|
3卷引用:江苏省扬州市2022-2023学年高一上学期期末复习数学试题
名校
10 . 我们知道,二次函数
的图象是抛物线,有同学发现经过抛物线这一节的学习,结合函数图象平移的性质可求出该抛物线的焦点坐标.则二次函数
的图象的焦点坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd1ab6ac61d5c463295a4c0a1eca073.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次