名校
解题方法
1 . 一般地,若函数
的定义域为
,值域为
,则称
为
的“
倍跟随区间”;特别地,若函数
的定义域为
,值域也为
,则称
为
的“跟随区间”.下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62e0a7ec931569bcc9c911f2c249d56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.若![]() ![]() ![]() |
B.函数![]() |
C.若函数![]() ![]() |
D.二次函数![]() |
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2023-03-08更新
|
1533次组卷
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6卷引用:安徽省2024届高三上学期8月摸底大联考数学试题
安徽省2024届高三上学期8月摸底大联考数学试题贵州省黔东南州2022-2023学年高一上学期期末文化水平测试数学试题辽宁省沈阳市浑南区东北育才学校科学高中部2023-2024学年高三上学期高考适应性测试(一)数学试题四川省平昌县第二中学2023-2024学年高一上学期第一次月考数学试题(已下线)第三章 函数的概念与性质(压轴题专练)-速记·巧练(人教A版2019必修第一册)(已下线)高一上学期期末考试选择题压轴题50题专练-举一反三系列
名校
2 . 设
是定义在
上的函数,若存在
,使得
在
单调递增,在
上单调递减,则称
为
上的单峰函数,
为峰点,包含峰点的区间称为含峰区间,其含峰区间的长度为:
.
(1)判断下列函数中,哪些是“
上的单峰函数”?若是,指出峰点;若不是,说出原因;
;
(2)若函数
是
上的单峰函数,求实数
的取值范围;
(3)若函数
是区间
上的单峰函数,证明:对于任意的
,若
,则
为含峰区间;若
,则
为含峰区间;试问当
满足何种条件时,所确定的含峰区间的长度不大于0.6.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b7e150af2052a1664cde963273d905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a801780561c48c27b05e3894de99a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae40787b884e40c9fbff558491372d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13502d46b8563c54c09b29b20b3006a4.png)
(1)判断下列函数中,哪些是“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29d3981fe4fc667bfc4b9ab72a0f938.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d99175f13f12333b9bf574b79cf38e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa1825e7e125bba03a5617d0ebe2830.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5ce40da2cbd52723210bbfa98a7f81b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14283f108568721e6d9ec8d42036be33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ba30f1aa5e75750c67b142fc1d7837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2a570f0086433e604736679f7192c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
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