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1 . 已知
,常数
满足
,若集合
中恰有6个元素,则
的取值构成的集合为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502289795280c779e530344a8bc23940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3c812b7db846898c100611e0269fef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
您最近一年使用:0次
名校
2 . 设角数列
的通项为
,其中
为常数且
.若存在整数
,使
的前
项中存在
满足
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662fbf0ed9df0da17995bb9055ae9eaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31a780e5cd250cfdfd0cbefc986e05a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3f2dc09789f71d97f522849067e928f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20b5b170de73f5b3d138858d4a4d76d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662fbf0ed9df0da17995bb9055ae9eaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32dfd07bbf2a71391aeda0450e57b7c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246ad670c580f7066f88940f831c892e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
您最近一年使用:0次
2022-06-11更新
|
530次组卷
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5卷引用:上海市光明中学2022届高三模拟(一)数学试题
上海市光明中学2022届高三模拟(一)数学试题2022届上海市普通高等学校招生全国统一考试数学模拟试题(一)(已下线)第07讲 三角函数图像与性质- 1(已下线)专题06数列必考题型分类训练-3重庆市北碚区2023届高三上学期10月月度质量检测数学试题
名校
解题方法
3 . 设函数
,其中m,n,
,
为已知实常数,
,则下列4个命题:
(1)若
,则
对任意实数x恒成立;
(2)若
,则函数
为奇函数;
(3)若
,则函数
为偶函数;
(4)当
时,若
,则
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99074f989e74d5ff306b4b7b7a379c1f.png)
其中错误的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/722bf2fc178c8f4d53c4424f4241c90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29aef458f2367b76432719f6f56275d8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0037388c0b202acddc092f2c143e3548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502c4ff1cd420b9da4de849e63c307e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db92ae4746a34821d8c5b1cce16486b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5dabbaf770207f1d9b83ca67ac9147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
(4)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cce53f43e48a21edecc19607e94ace1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40fd17a767750d2f6445f7230093bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b019d78cb296be8a2cbd64fb96b8655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99074f989e74d5ff306b4b7b7a379c1f.png)
其中错误的个数是( )
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
4 . 对于数列
,若存在
,使得
对任意
都成立,则称数列
为“
-折叠数列”.
(1)若
,判断数列
是否是“
-折叠数列”,如果是,指出
的值,如果不是,请说明理由;
(2)若
,求所有的实数
,使得数列
是3-折叠数列;
(3)给定常数
,是否存在数列
,使得对所有
,
都是
-折叠数列,且
的各项中恰有
个不同的值,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a949b947e9961d4d68bfeb4e24ef40f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd64c414e36110bb64ea057df691c8df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/885764f5d34417779c5ea140caf406ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/817ce3705dc9063abde1304bba2435dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6290fabfee064ca7296364c2011c16ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
(3)给定常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53ac03ac63e4635c0073f5a0f719392a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a949b947e9961d4d68bfeb4e24ef40f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dbc76e88046029a006e48b6b58823d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fbf39f278f6fcfbd30de4a1ad65e5bf.png)
您最近一年使用:0次
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5 . 已知函数
. 请在下面的三个条件中任选两个解答问题.①函数
的图象过点
;②函数
的图象关于点
对称;③函数
相邻两个对称轴之间距离为
.
(1)求函数
的解析式;
(2)若
是函数
的零点,求
的值组成的集合;
(3)当
时,是否存在
满不等式
?若存在,求出![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
的范围,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85d7823160b71e0410645975559192a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e544ce30f9debf4e626677378bbcbff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad9d85bdc29cd88b292d4f49ea2f5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a13867a8276268b7bf9b20e489925095.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/558e5164dd5bc085d892cd82072fa8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edfe2dae662535ef325fc40898c6508e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
的范围,若不存在,请说明理由.
您最近一年使用:0次
2021-01-28更新
|
1327次组卷
|
6卷引用:大题好拿分期中考前必做30题(压轴版)-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)大题好拿分期中考前必做30题(压轴版)-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)江苏省宿迁市2020-2021学年高一上学期期末数学试题江西省新余市第四中学2020-2021学年高一下学期第一次段考数学试题(已下线)专题19 三角函数中的压轴题(一)-【尖子生专用】2021-2022学年高一数学考点培优训练(人教A版2019必修第一册)(已下线)5.4三角函数的图象与性质C卷江西省南昌市江西师范大学附属中学2023-2024学年高一下学期期中考试数学试卷
6 . 设函数
,已知
在[
有且仅有4个零点,下述四个结论:①
在
有且仅有2个零点;②
在
有且仅有2个零点;③
的取值范围是
;④
在
单调递增,其中正确个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9aaa4f10a64d6cc14911eca248b89fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b24192cace1d2a643fc3a42a5b7ac273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907e4ba6d5f2eea68442def1911957fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b24192cace1d2a643fc3a42a5b7ac273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2f9a575fc639253a8efe28ab73a985e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b24192cace1d2a643fc3a42a5b7ac273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93907c076d0f571b9f7ce1dca8405dd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/091358a4f8555a637e76c59b13dbe1ac.png)
A.0个 | B.1个 | C.2个 | D.3个 |
您最近一年使用:0次
2021-01-27更新
|
2242次组卷
|
11卷引用:小题好拿分期中考前必做30题(压轴版)-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)小题好拿分期中考前必做30题(压轴版)-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)第七章 三角函数(压轴题专练)-单元速记·巧练(沪教版2020必修第二册)江西省吉安市2020-2021学年高一上学期期末教学质量检测数学试题(已下线)专题02 三角函数 三角恒等变换(难点)-2020-2021学年高一数学下学期期末专项复习(北师大版2019必修第二册)(已下线)5.4 三角函数的图象与性质-2021-2022学年高一数学同步辅导讲义与检测(人教A版2019必修第一册)(已下线)专题09 《三角函数》中的零点问题-2021-2022学年高一数学上册同步培优训练系列(苏教版2019)(已下线)专题突破卷11 求三角函数中ω的取值范围-1(已下线)重难点突破01 ω的取值范围与最值问题(六大题型)(已下线)模块二 专题4《三角函数的图像和性质》单元检测篇 A基础卷 (人教A)(已下线)模块一 专题3《三角函数的图像和性质》单元检测篇A基础卷(人教B)(已下线)模块一 专题2《三角函数的图像和性质》单元检测篇A基础卷(北师大版高一期中)
名校
7 . 已知函数
.给出下列结论:
①
是周期函数;
② 函数
图像的对称中心
;
③ 若
,则
;
④不等式
的解集为
.
则正确结论的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a1539f79806b51fecd9f71ffec5d293.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
② 函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8e25715a871814c494a00e356f46c46.png)
③ 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859458471c86ae39e0cc42d2d960d03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a037cd0360ca2174cf20c6581646c18d.png)
④不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6bbc47f00aa4d9d5d9ebf322f1021b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dba1420f6e7fb5c968cbe5d92c565aca.png)
则正确结论的序号是( )
A.①② | B.②③④ | C.①③④ | D.①②④ |
您最近一年使用:0次
2020-05-13更新
|
1038次组卷
|
4卷引用:2020届上海市浦东新区高三二模数学试题