名校
解题方法
1 . 设
且对于任意的
有
,
,若
,
,则
的最大值是______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2caf25eeaeb6c3521d37ec614a0b3755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422bdeda8a958deff409e52dac6fe4c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/407169706c508bfae5d039639b49477d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9595bc0f7ded748e99fc6465aff9bc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd43e36e05c6c391f875cf378c062cb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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2022-01-11更新
|
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2卷引用:湖北省荆门市龙泉中学2021-2022学年高一实验班上学期11月月考数学试题
名校
解题方法
2 . 已知曲线
在点
处的切线为
,设
,
,2,…,
,
且
.
(1)设
是方程
的一个实根,证明:
为曲线
和
的公切线;
(2)当
时,对任意的
且
,
恒成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6945a1d7d30dd1b29577440dcfaac9a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a3677144defbef98e1f972147db393c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c45176df950dfe48b8ca7eac08ee349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aadf9ab510510120699c5eee39ab18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b36bca4b0fe91679de1f468ebe4021cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb37f9d67f549f095c671deaf116790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2021-12-26更新
|
584次组卷
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3卷引用:河南省县级示范性高中2021-2022学年高三上学期8月尖子生对抗赛数学(文科)试题
名校
解题方法
3 . 下列说法正确的是( ).
A.“![]() ![]() |
B.![]() |
C.若![]() ![]() ![]() ![]() ![]() |
D.函数![]() |
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3卷引用:河南省濮阳市范县第一中学等学校2021-2022学年高一上学期联考检测数学(文科)试题
名校
4 . 对于函数
,
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d616bb31a7ad9c0898b9692aa5cd695c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccaaad3c286c0df8e7164e3163b77eae.png)
A.存在c,d使得函数![]() |
B.![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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2021-12-22更新
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926次组卷
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3卷引用:广东省广州市2022届高三上学期12月调研测试(B卷)数学试题
名校
解题方法
5 . 定义:设不等式F(x)<0的解集为M,若M中只有唯一整数,则称M是最优解.若关于x的不等式
有最优解,则实数m的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb7bfc489f066e117808bfe7c9f8e413.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() ![]() |
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4卷引用:天津市滨海新区塘沽第一中学2022届高三下学期4月线上统练数学试题
解题方法
6 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c635a29ee2fba1a05c512b2ebe9cc70e.png)
A.函数![]() |
B.若函数![]() ![]() |
C.若函数![]() ![]() |
D.当![]() ![]() ![]() |
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2021-11-01更新
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3卷引用:广东省普宁市揭阳市普师高级中学2022届高三上学期第二次阶段考数学试题
广东省普宁市揭阳市普师高级中学2022届高三上学期第二次阶段考数学试题广东省茂名市重点高中2022届高三上学期第二次阶段考数学试题(已下线)专题6.2 幂函数、指数函数和对数函数 章末检测2(中)-【满分计划】2021-2022学年高一数学阶段性复习测试卷(苏教版2019必修第一册)
名校
7 . 已知函数
,其中
,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db58afeac1cfe83233a8887e16f59b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
A.存在实数![]() ![]() |
B.存在实数![]() ![]() |
C.当![]() ![]() ![]() |
D.当![]() ![]() ![]() |
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4卷引用:山东省潍坊安丘市等三县2021-2022学年高三上学期10月过程性测试数学试题
山东省潍坊安丘市等三县2021-2022学年高三上学期10月过程性测试数学试题湖南省衡阳市第一中学2022-2023学年高一上学期第三次月考数学试题(已下线)第8章 函数应用 单元综合检测(难点)(单元培优)-2021-2022学年高一数学课后培优练(苏教版2019必修第一册)(已下线)热点03 函数及其性质-2022年高考数学【热点·重点·难点】专练(新高考专用)
8 . 已知函数
,
,定义函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec09e7ab26188617083f3b467231250.png)
(1)设函数
,
,求函数
的值域;
(2)设函数
(
,
为实常数),![](https://staticzujuan.xkw.com/quesimg/Upload/formula/445f5ea3b5f3ccc852c66a4b27d3b95f.png)
,当
时,恒有
,求实常数
的取值范围;
(3)定义区间
的长度为
,已知
,
,
,
为常数,设
,
为实数,
,且
,
,若
,求
在区间
上的单调递增区间的长度和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70458945dae62f8f6a553dfaa8eb723a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b40b099989abb2d15ddf60413c8a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec09e7ab26188617083f3b467231250.png)
(1)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed94bc7970736b3f07ac833b851a751.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3027ab2bb54feb0d186d776b27d500b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f6d073f26c136e2d862e11a8494c3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22af653d3aa1a75dc6de30a1cfb6cea1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/445f5ea3b5f3ccc852c66a4b27d3b95f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07180028d2769a3fb9735853912d4a1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22af653d3aa1a75dc6de30a1cfb6cea1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8c97a77335a5dc082b1e99154eee37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(3)定义区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de607dcc8133a2a3c0fa5aeaa8e841e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9694a88c6ecf60f398dfb5c6e2745009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be646cd52d7f2f1714e7542e75810f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adad9633b73dfbbb3d84b4f15979e99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be646cd52d7f2f1714e7542e75810f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13222360e2133bb0594c52215ed32d79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f94345694d4215284c41f87146795ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
您最近一年使用:0次
2022高三·全国·专题练习
名校
解题方法
9 . 已知函数
,函数
满足
,且当
时,
,那么( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30062aae0d1166ee6345a31550ff4e7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc329eeb73ef4c5ed63bc190f183aeb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/795a4036c8861f95cbc79a74b6c6bcf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edef05c62145eefbd322caba218731d0.png)
A.![]() |
B.当x>0时,![]() |
C.当![]() ![]() |
D.当![]() ![]() |
您最近一年使用:0次
2021-09-18更新
|
509次组卷
|
3卷引用:山东省菏泽市东明县第一中学2021-2022学年高三上学期10月月考数学试题
名校
解题方法
10 . 有同学看到式子“
”,理解为
是偶函数,且根据
与
的图像间的关系知
的图像关于
对称;请类比该同学的思路写出一个式子表示__________,
的图像关于
对称.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0c7185ce250032177eb8674a5979bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb19d43bf321e4019573260f189a7fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26efb9f32f6cb608753f9189c6b48644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a812a9b58ccba331cfd21d244329af01.png)
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2021-09-18更新
|
161次组卷
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2卷引用:河北省张家口市第一中学2020-2021学年高一上学期12月月考数学试题