1 . 设函数
在
上的最小值为
,最大值为
若存在最小正整数
使得![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792632832/STEM/9dd82a738d0a400bba14994985a563ee.png)
对任意
成立,则称函数
为区间
上的“
阶
函数”若函数
为区间
上的“
阶
函数”,则
的值为
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792632832/STEM/e30d0c1c12fd4e53b825cd8cc592cdad.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792632832/STEM/0e23f2f4c0414a32821f07fc03dc2e89.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792632832/STEM/20b8d59173e0445e8a0709809ebe6936.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792632832/STEM/46b1dd53066f482bb42a05a80679ae80.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792632832/STEM/abb52c8fd1844e62a039e69d237d85f8.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792632832/STEM/9dd82a738d0a400bba14994985a563ee.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792632832/STEM/6e23838d1f6342dda62f0b47cd114cdd.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792632832/STEM/fe6c34ea931b4e4f96e0b0814ba32453.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792632832/STEM/e30d0c1c12fd4e53b825cd8cc592cdad.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792632832/STEM/57c269aac9504c52a42eb456247a26cd.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792632832/STEM/c1fdd15485664ea89c7fa5c33f9d0602.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792632832/STEM/4ae6eaa7c0ed44abac4292a4ed39a6b0.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792632832/STEM/5b2924722d5b451889f474afac1e3551.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792632832/STEM/089bb70d101944f086da290f25a23608.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792632832/STEM/c1fdd15485664ea89c7fa5c33f9d0602.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792632832/STEM/4ae6eaa7c0ed44abac4292a4ed39a6b0.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792632832/STEM/c1fdd15485664ea89c7fa5c33f9d0602.png)
A.4 | B.3 | C.2 | D.1 |
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2 . 已知集合
定义映射
则从中任取一个映射满足由点
构成
则使得
的概率为
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792608256/STEM/e2cd4334d1414ffc87df29d1eef1ccfb.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792608256/STEM/773e5fb9f59b4affb182e7cad9f033f6.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792608256/STEM/47d863a1edc6423e98af0c5a14b668ab.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792608256/STEM/645698d5a5164558a0defe9811d80356.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413787348992/1572413792608256/STEM/7e5f75ff1ddd4264b9b14fa932377a0b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
3 . 已知二次函数
对任意实数
都满足
,且
.令
.
(1)若函数
在
上的最小值为0,求
的值;
(2)记函数
,若函数
有5个不同的零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5453f2381c512ca10eec86c62aec95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6c92486cac7ad016ac22bfe83c64ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5016af3f5b2e43a3192dcde651293484.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/156b1264043e5922de69a17a142855ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)记函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee667a434f4be9331c080e9bd9b09ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1776097ac2b4b38d83b20656ffc762e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
4 . 已知函数
,若存在
使得函数
的值域为
,则实数
的取值范围是 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/939e97c247f44e3e54088a4b4f76158e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1924f683f9c883587b48ccddd8f00f99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2016-12-03更新
|
252次组卷
|
2卷引用:2016届江西省临川一中高三上学期期中理科数学试卷
解题方法
5 . 若函数
的值域为
,则
的取值范围是
![](https://img.xkw.com/dksih/QBM/2015/11/17/1572294715039744/1572294720823296/STEM/f65c94569cf141fc9ffd7554ebe15390.png)
![](https://img.xkw.com/dksih/QBM/2015/11/17/1572294715039744/1572294720823296/STEM/23d0f61b0ae14074b5dab3ac07278d8f.png)
![](https://img.xkw.com/dksih/QBM/2015/11/17/1572294715039744/1572294720823296/STEM/7d811e28fa164fc2b721a8dd78fb4e13.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2016-12-03更新
|
413次组卷
|
2卷引用:2016届江西省临川区一中高三10月月考理科数学试卷
解题方法
6 . 定义在
上的单调函数
,则方程
的解所在区间是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e9dba94e3adc361130365feeeea709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c04abaddb4e381d0bd24b40c9a5fb22.png)
![](https://img.xkw.com/dksih/QBM/2015/11/18/1572297201172480/1572297207128064/STEM/157fb337ed5947c6a0a46a8ede459f18.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2016-12-03更新
|
491次组卷
|
6卷引用:2016届江西省新余市四中高三上学期第三次周练理科数学试卷
13-14高三上·河北衡水·阶段练习
名校
7 . 能够把圆
:
的周长和面积同时分为相等的两部分的函数称为圆
的“和谐函数”,
下列函数不是圆
的“和谐函数”的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54329a84abb204cecb237b2bf2ff2bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
下列函数不是圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2016-12-03更新
|
227次组卷
|
4卷引用:2016届江西省高安市二中高三第二次段考理科数学试卷
2016届江西省高安市二中高三第二次段考理科数学试卷(已下线)2014届河北省衡水中学高三上学期四调考试理科数学试卷(已下线)2014届河北衡水中学高三上学期第五次调研考试文科数学试卷宁夏银川市第二十四中学2021届高三年级上学期第一次月考数学(理)试题
名校
8 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e67b43b10d8630d550224cc654928571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b39655a9a77ed5e1faece00d5744395.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/306c103036cdf12028273575cfb80344.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2016-12-03更新
|
678次组卷
|
4卷引用:2016届江西省高安市二中高三第二次段考理科数学试卷
9 . 设函数
,对任意给定的
,都存在唯一的
,满足
则正实数
的最小值是
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572261574967296/1572261580955648/STEM/462786d259604942b652a558ab153347.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572261574967296/1572261580955648/STEM/53d27b8440a54bef95a4455fd3e1d35e.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572261574967296/1572261580955648/STEM/ff466b050bd74634874566c49f947a3a.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572261574967296/1572261580955648/STEM/85eb9d32b9d248b78be3c41eba9bc76f.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572261574967296/1572261580955648/STEM/67d26de5bf3e48daa2fbd6d1821f7e96.png)
A.![]() | B.![]() | C.2 | D.4 |
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10 . 设函数
,
,则![](https://img.xkw.com/dksih/QBM/2015/10/20/1572261574967296/1572261580701696/STEM/027f7325eb95441b85f5c4dfef873bf1.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572261574967296/1572261580701696/STEM/375d75e939bb42e29a401e3d8992cfbe.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572261574967296/1572261580701696/STEM/ab18e6853da74e488ed06a53b414e6e3.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572261574967296/1572261580701696/STEM/027f7325eb95441b85f5c4dfef873bf1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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