名校
1 . 已知函数
(其中
,
),
,
恒成立,且
在区间
上单调,给出下列命题:
①
是偶函数;②
;③
是奇数;④
的最大值为3.
其中正确的命题有______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a1b51fc74390c262bc0bcaeb20369c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7c9e46448bc791c441ca02d8f4508eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b514e34e830975e368f7b3c5ac7262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28ed54e6ec5dee8074aaa154c2785a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eba14cb485ccb3ddc9d7aeed4d75a35.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53aef4dd19f5b9e7bff62802a8efeb33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
其中正确的命题有
您最近一年使用:0次
2023-01-12更新
|
1267次组卷
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3卷引用:第7章 三角函数(B卷·能力提升练)-【单元测试】2022-2023学年高一数学分层训练AB卷(沪教版2020必修第二册)
名校
2 . 已知函数
图象与函数
图象相邻的三个交点依次为A,B,C,且
是钝角三角形,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c624c40231a263aaa52be72ddfb5f5ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c98d7ae02ec0e78be8ec60abaf321bca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-02-13更新
|
2284次组卷
|
6卷引用:上海市格致中学2022-2023学年高一下学期3月月考数学试题
名校
解题方法
3 . 设函数
的定义域为
,满足
,
.若
,且
在
单调递增,则满足
的
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da3a6d011679952771607b3a166676b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52a1e50d181725ce880b80fcd35205d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b72fce1fd91030a8ee67d93f8dbf98fe.png)
![](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/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f63ef8da56e74dd9a811cd61746999a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2023-05-02更新
|
765次组卷
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3卷引用:上海市松江一中2024届高三下学期阶段测试1数学试题
名校
4 . 已知函数
.
(1)求函数
的最小正周期;
(2)在
中,角
所对应的边分别为
,若
,且
,求
的值;
(3)设函数
,记
最大值为
最小值为
,若实数
满足
,如果函数
在定义域内不存在零点,试求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c04dc784ed65d3e72b0c9d5ae68e66.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d38b9fc77205c5123d6f9c82479c2ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82986ab38a4ae58593191ccae2a44f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b756b8cadf74cbaa4b6c372cc3334aeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e63c49069e6fddc906ed8e8e81d5af6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b1be3c75b1e3e343c39c5d93bcdd684.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e38a9214d8fa2b38ade639a7b2239123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1fd89082c6ec9009255474bc41019c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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名校
5 . 已知函数
,记方程
在
上的根从小到大依次为
,
,
,求
=____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf7482a8db0d50d0f214c217f782b2e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e28c96d843f2a789b5ab775df70735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c973172a1091ecfd0da801f017798d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed09fcd02e233ecfa12a9459a54d6cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba1707e9d08402fcd2e8f2c6ec69991f.png)
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2021-01-09更新
|
1357次组卷
|
8卷引用:上海期末全真模拟试卷(3)-2020-2021学年高一数学下册期中期末考试高分直通车(沪教版2020必修第二册)
(已下线)上海期末全真模拟试卷(3)-2020-2021学年高一数学下册期中期末考试高分直通车(沪教版2020必修第二册)江西省南昌市第二中学2020-2021学年高一上学期第三次月考数学试题江西省高安中学2020-2021学年高一上学期期末考试数学(理)试题(已下线)第19讲压轴综合题(练习)-【教育机构专用】2021年春季高一数学辅导讲义(沪教版2020必修第二册)(已下线)专题5.5—三角函数的图像与性质1-2022届高三数学一轮复习精讲精练江西省分宜中学2020-2021学年高一(普班)下学期第二次段考数学试题(已下线)专题4-1 三角函数性质、最值和w小题归类-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)(已下线)专题4-2 三角函数图像与性质归类-1
6 . 若无穷数列
满足:存在正整数
,使得
对一切正整数
成立,则称
是周期为
的周期数列.
(1)若
(其中正整数m为常数,
),判断数列
是否为周期数列,并说明理由;
(2)若
,判断数列
是否为周期数列,并说明理由;
(3)设
是无穷数列,已知
.求证:“存在
,使得
是周期数列”的充要条件是“
是周期数列”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b2b94cbf8f1acc77ed2618d9ba5756a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f195d5a5663e0b1b0870c3f2c39d19dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cff7a7deafe061d63e324c12867f958.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b8edc8e215753c36badd65adaee992.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bc6bb7b937ded40f6f50859d8f77a5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
您最近一年使用:0次
名校
7 . 已知
,若存在
使得集合
中恰有3个元素,则
的取值不可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50018097e45cc243c743ea3759a5796.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
8 . 声音是由物体振动产生的声波,其中包含着正弦函数,纯音的数学模型是函数
,我们听到的声音是由纯音合成的,称之为复合音.若一个复合音的数学模型是函数
,则下列结论正确的个数有( )
①
的图象关于直线
对称;②
在
上是增函数;
③
的最大值为
;④若
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e83347805bcbdf7f28616c4feeeebb42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc97e5ada39650b93091d927be157b.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c3319647314c3b6d82958a909acd2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba7039324a6d810f4d5603d4edeb70e.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ca820a456491348e72587e4fe10bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bc4cbd80e384a2c5761c543fbd1ac4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cba71d697207a91ff21fa011014f0f24.png)
A.1 | B.2 | C.3 | D.4 |
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2022-09-15更新
|
755次组卷
|
4卷引用:上海市八校联考2023届高三上学期开学考试数学试题
上海市八校联考2023届高三上学期开学考试数学试题(已下线)2023届高三第二次月考押题卷(测试范围:集合与常用逻辑用语、不等式、函数与导数、平面向量、三角函数与解三角形)河南省南阳市第一中学校2022-2023学年高三上学期第二次月考理科数学试题(已下线)安徽省江南十校2022届高三下学期3月一模理科数学试题变式题6-10
名校
解题方法
9 . 数学中一般用
表示
中的较小值,关于函数
有如下四个命题:
①
的最小正周期为
; ②
的图像关于直线
对称;
③
的值域为
; ④
在区间
上单调递增;
其中是真命题的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bcf98ae4aff5b41b9356ee67ad9f562.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663a61ad241d5d874c9a9362f0ee917c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca3b53bd656b53c12a19a4bce29197cb.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ba73ad9ae3aeec05e7cb208737874f.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30a5498bb0236a2bb04ae38329b408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1261c8edd137dc8f75c9f848ca5b582e.png)
其中是真命题的个数是( )
A.1个 | B.2个 | C.3个 | D.4个 |
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10 . 已知函数
,下列说法正确的是__________ .
①
图像关于
对称;
②
的最小正周期为
;
③
在区间
上单调递减;
④
图像关于
中心对称;
⑤
的最小正周期为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a7084c97fec9f4b5b34e920d89e0549.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6461468072bd27afd53fd5f9c3bf344.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e9fdc1f8ed0ae44b54a9a2a3aca2db4.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f63f827cdf0e83612e5ade389c297b0.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47c1fad7af7df8e93160cf83788bec5c.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6bc6bf086ae0da5fbbde88c93d0dee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
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