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1 . 如图,玉溪汇龙欢乐世界摩天轮的半径为
,圆心距地面的高度为
,摩天轮做逆时针匀速转动,每
转一圈,摩天轮上的点
的起始位置在最低点处.
(单位:
)时点
距离地面的高度是关于
的函数
(其中
,
,
),求函数
解析式及
时点
距离地面的高度;
(2)当点
距离地面
及以上时,可以看到公园的全貌,求游客在游玩一圈的过程中共有多长时间可以看到公园的全貌.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c56c87fd6bf8a44244ba51a9d244e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8badcdb1e5621f0ac4d9272041185a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffec8485ffd139b3a8af52c4b6760df5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e008ee8b0dc593ce21d8d4c87afef1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26a5f544ec4f124f42ce0061603a757.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/409b95503e9f597f9f63c65917b330c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb17843c51402a1f7cd9b07542597b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8deffcab31c83949a2fb36d2965745f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/979f8263e516e570d38ea9361faebefc.png)
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2024-02-03更新
|
328次组卷
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4卷引用:山东省青岛第二中学2023-2024学年高一下学期3月月考数学试题
山东省青岛第二中学2023-2024学年高一下学期3月月考数学试题云南省玉溪第一中学2023-2024学年高二上学期期中考试数学试卷(已下线)1.8 三角函数的简单应用-同步精品课堂(北师大版2019必修第二册)云南省玉溪市红塔区玉溪第一中学2023-2024学年高二上学期期中数学试题
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2 . 如图,在平面直角坐标系
中,
为单位圆上一点,射线
绕点O按逆时针方向旋转
后交单位圆于点B,点B的横坐标为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/72e80c3a-6dd8-4ca3-a6d5-8f7e8cb8bec1.png?resizew=162)
(1)求
的表达式,并求
;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7795aec93c2c7ac2fd93e6747ca6516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c764a01ab02ff371ebdd2d09a7295d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e1d3f78a802596b825166767ceee40.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/72e80c3a-6dd8-4ca3-a6d5-8f7e8cb8bec1.png?resizew=162)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e1d3f78a802596b825166767ceee40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a51639f179583e6f56184569f663987d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f7209bea285aa2feb7ce8c1e556b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/792eeb37c0c6260f2987391a06a7d865.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc24d605ad707ad0e76059d8a31f50d3.png)
您最近一年使用:0次
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3 . 已知
是第二象限角,且
,
是第一象限角,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fbe2212c10c3da621f550e8c6409bd7.png)
(1)求
,
;
(2)若对于任意的角
都有
成立,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a92b5f617460604b942a9c302b3a41ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fbe2212c10c3da621f550e8c6409bd7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eacde1c42151734fdc60f3001b590de.png)
(2)若对于任意的角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80ada15d54503b8770cdf8d73f7bb2d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f372b43f190f84b3bbdf423102fd624.png)
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4 . 已知函数
.
(1)求
的单调递减区间;
(2)求
图象的对称中心的坐标;
(3)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/553ed71885b276cee96742b1916e938e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a36e4728c1fb2de18f3e388a56e7a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd4d809facb6c5ce594e86fcc1d1a3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
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2024-01-26更新
|
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3卷引用:安徽省皖北名校2023-2024学年高一下学期阶段性联考数学试卷
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解题方法
5 . 已知
,
,且
,
.
(1)求
,
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ebb96c73c0abf240bdc3f9d1ecec7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff89ab307e7a726e2853c162bbd5adc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcbe8b4bcd32e5a64ebfd873f8cbb2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be2e0a0816bc26d430622d24909ef97.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f90c4754e6b6fc862d72943fb35569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9146fc0a63e5c14a8fa46573e60c07ba.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc4c63a548b91061528aa11058de75.png)
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2024-01-26更新
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429次组卷
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4卷引用:山东省淄博市高青县第一中学2023-2024学年高一下学期3月月考数学试题
山东省淄博市高青县第一中学2023-2024学年高一下学期3月月考数学试题山西省晋中市2023-2024学年高一上学期期末调研数学试题(已下线)5.5.2简单的三角恒等变换(第2课时)(已下线)专题05 三角恒等变换的8种常考题型归类-期末真题分类汇编(北师大版2019必修第二册)
2023高一上·全国·专题练习
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解题方法
6 . 已知
,
,
.
(1)求
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3d15b377e37c9e0fcbfce046148bdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151e12f178d9330526d827ffbc92880d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc05f40eb2357f219d31bd2ea8e785f7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b986672a23ad322d79e9e18c5d3bc0c.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e8a74444275f0fd6ed81998a889590c.png)
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2024-01-26更新
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3卷引用:江苏省南通市海安高级中学2023-2024学年高一下学期第一次月考数学试题
江苏省南通市海安高级中学2023-2024学年高一下学期第一次月考数学试题江苏省徐州市铜山区2023-2024学年高一下学期第一次质量检测(3月)数学试卷(已下线)高一上学期期末考点大通关真题精选100题(2)-【题型分类归纳】(人教A版2019必修第一册)
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7 . 已知
.
(1)若
,求
的值;
(2)若
是第三象限角,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf1091723aa2c93912b0d57d6b774bf2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08223e107904dade589a99ab517fed18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50cb122474dcc2e8977e5a70eee67acd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
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8 . 某同学用“五点法”画函数
在某一个周期内的图象时,列表并填入了部分数据,如下表:
(1)求函数
的解析式;
(2)求函数
的对称中心及对称轴方程;
(3)求关于
的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f3ca21fc2bc3993096193cfafe34e9.png)
![]() | ![]() | ![]() | |||
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)求关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d5a0e25aebe1cc182d2247ed344652.png)
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2024-01-25更新
|
562次组卷
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3卷引用:云南省曲靖市宣威市第三中学2023-2024学年高一上学期第二次月考数学试题
云南省曲靖市宣威市第三中学2023-2024学年高一上学期第二次月考数学试题山东省临沂市第十八中学2023-2024学年高一上学期期末模拟数学试题(一)(已下线)专题训练:三角函数综合应用大题30题-【题型分类归纳】(人教A版2019必修第一册)
9 . 已知函数
的最小正周期为
,其图象经过点
,
(1)令
,判断函数
的奇偶性;
(2)若函数
的最大值为6,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8d25ffc739618adc609f7fd95cfeadf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ca34d82c95713100598611fc59b4a8.png)
(1)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdad545823e0e7aa2e0ee61ec03d1553.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1197791c5a2e744a22ce2f645b4c0a94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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10 . 已知
是同一平面内的三个向量,其中
.
(1)若
,且
,求
的坐标;
(2)若
,且
与
垂直,求
与
的夹角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb38f0198e4874513f21777305fa353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760d066c09f5625e89aa2da8dd1a2d9e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e5de9d6e75b5784e4b5ef2098b9b853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ee3a0e0f06c77f9c6980d15073c693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3891f3c2589c509a8e14a0e7a7e801.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/310d032aa67736ed705f8c2f8c012c47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96b37b1b1c2803e723337c20b554c5cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/666dd921a9619a13967d04b5710bf93b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
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4卷引用:江苏省苏州市南京航空航天大学苏州附属中学2022-2023学年高一下学期6月月考数学试卷
江苏省苏州市南京航空航天大学苏州附属中学2022-2023学年高一下学期6月月考数学试卷吉林省东北师范大学附属中学2023-2024学年高一下学期阶段验收考试数学试题(已下线)第六章 平面向量及其应用 章末综合检测卷-重难点突破及混淆易错规避(人教A版2019必修第二册)(已下线)第八章:向量的数量积与三角恒等变换章末重点题型复习(1)-同步精品课堂(人教B版2019必修第三册)