名校
解题方法
1 . 若点
在函数
的图象上,且满足
,则称
是
的
点.函数
的所有
点构成的集合称为
的
集.
(1)判断
是否是函数
的
点,并说明理由;
(2)若函数
的
集为
,求
的最大值;
(3)若定义域为
的连续函数
的
集
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b4f86e48e2b0d63c1865c60ed1e4d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ef0287740211d65da72c0e494e630c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92278194f93b54876e6b319995f5a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92278194f93b54876e6b319995f5a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92278194f93b54876e6b319995f5a37.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4966e5af166b69a0a38a98abf555b6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c111ae39998037ad9c2eef5a892b3e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92278194f93b54876e6b319995f5a37.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b820f749904501fafc23018b528ed82f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92278194f93b54876e6b319995f5a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(3)若定义域为
![](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/c92278194f93b54876e6b319995f5a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/262ea17a76ec2b15e9f5c96e42ca4b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d27fb6dea56ea845f338fce3d432af9.png)
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2022-07-07更新
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8卷引用:安徽省安徽师范大学附属中学2022-2023学年高一下学期3月月考数学试题
安徽省安徽师范大学附属中学2022-2023学年高一下学期3月月考数学试题上海市复旦大学附属中学2023届高三上学期9月月考数学试题广西桂林市第十八中学2023-2024学年高一下学期4月月考数学试题(A卷)北京市海淀区2021-2022学年高一下学期期末练习数学试题河南省周口市淮阳区淮阳中学2022-2023学年高一上学期期末数学试题(已下线)第5章 三角函数(基础、典型、易错、压轴)分类专项训练(2)北京市第十四中学2023-2024学年高一下学期期中检测数学试卷(已下线)上海市高一下学期期末真题必刷04-期末考点大串讲(沪教版2020必修二)
名校
2 . 已知函数
,且
的图象上相邻两条对称轴的距离为
,图象过点
.
(1)求
的表达式和
的单调增区间;
(2)若函数
在区间
上有且只有一个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e717b9e4f4597b56f9ad11f7580de1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba6fbbaf0854386927c3765d254ffe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b355f70e175cfb3b1d6ed8ad23841e8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2020-02-13更新
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