名校
解题方法
1 . 若函数
的最大值和最小值分别为M、m﹐则函数
的图像的对称中心是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56fa3a897424b50a1d787c5423c9e71b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92bf58ef8b67b8c55bd8cfaa0424f15.png)
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名校
解题方法
2 . 若
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a190a96384c286a32b7f13283ac741af.png)
______ (提示:
在
上严格增函数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a67fa1d509e9a19394b954b939c1824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de4324c75e31fda79c824d53470f4656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a190a96384c286a32b7f13283ac741af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30884f6bcf33868f0e4ff543f0b8c48d.png)
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2021-03-30更新
|
1110次组卷
|
4卷引用:上海市行知中学2020-2021学年高一下学期3月月考数学试题
上海市行知中学2020-2021学年高一下学期3月月考数学试题上海市青浦高级中学2022-2023学年高一下学期期中数学试题(已下线)第7章 三角函数 单元测试(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)7.3 三角函数的图像和性质(难点)(课堂培优)-2021-2022学年高一数学课后培优练(苏教版2019必修第一册)
名校
3 . 对于定义在
上的函数
和
,有下面几个命题:
①若
,当n为奇数时,函数
是奇函数;
②若
,当n为偶数时,函数
是偶函数:
③存在正奇数n和奇函数
,满足对任意的x,都有
;
④存在正偶数n和偶函数
,满足对任意的x,都有
;
⑤存在正整数n,使得
与
均为单调函数,其中
,
.
其中真命题的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75a8a604167be42eb1b3f261753b3446.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75a8a604167be42eb1b3f261753b3446.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③存在正奇数n和奇函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a62cfda8feba53823ef7b00708534590.png)
④存在正偶数n和偶函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a62cfda8feba53823ef7b00708534590.png)
⑤存在正整数n,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b41e41598c9a0c567bb7fa23dae6df59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a62cfda8feba53823ef7b00708534590.png)
其中真命题的个数是( )
A.2个 | B.3个 | C.4个 | D.5个 |
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12-13高三·上海·阶段练习
4 .
,其中
均为常数,下列说法正确的有
(1)若
,则对于任意
,
恒成立;
(2) 若
,则
是奇函数; (3) 若
,则
是偶函数;(4) 若
,且当
,则
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16fd7b3edb613bece583e34b0f1cfdc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/247bece373d07c71edf01b79a6ee7393.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da1be44b3f4c2d652f3dab5a24cbf6a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3047d4ab078dafc06c047bcbf0a6ffaf.png)
(2) 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104375baf5cef5eb92cfc7cf13b80193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f206c5aaa43c3779a7871f0264b620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ba3ea45c7db37f11b4d0994e3d724b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a74a20e4fefe4673cf472107bca7044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a138fae2924c6104c0d9a8f23576007.png)
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