1 . 如图,某广场中间有一块绿地
,扇形
所在圆的圆心为
,半径为
,
,广场管理部门欲在绿地上修建观光小路:在
上选一点
,过
修建与
平行的小路
,与
平行的小路
,设所修建的小路
与
的总长为
,
.
![](https://img.xkw.com/dksih/QBM/2020/1/17/2379204645494784/2380290213404672/STEM/869836c4828d4a35a4a1cffa23b11fcf.png?resizew=149)
(1)试将
表示成
的函数
;
(2)当
取何值时,
取最大值?求出
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d162c29b1e484cfc87350dd68f00b85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394d49b7b16d3871b3795b1b7fa2078d.png)
![](https://img.xkw.com/dksih/QBM/2020/1/17/2379204645494784/2380290213404672/STEM/869836c4828d4a35a4a1cffa23b11fcf.png?resizew=149)
(1)试将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eda0e46e3df694508999a522ba5a3af.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
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2 . 如图,一个大风车的半径长为
,每
旋转一周,最低点离地面为
,若风车翼片从如图所示的点
处按逆时针方向开始旋转,已知点
离地面
,则该翼片的端点离地面的距离y(
)与时间x(
)之间的函数关系是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/5d29e3bf-18ca-4854-afb4-ffefd5fc24b5.png?resizew=175)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ea92883fe24b097c9a881ef8c92eb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23450b6813cd3be44fd92c6dc61e446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71a41641aa0d0e45a3c03d3d2c1196b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f50605db5d5f8f3a01ee8e474a112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f50605db5d5f8f3a01ee8e474a112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e17ee14bd91bfff409c06fd434f6745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e008ee8b0dc593ce21d8d4c87afef1c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/5d29e3bf-18ca-4854-afb4-ffefd5fc24b5.png?resizew=175)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 国际油价在某一时间内呈现出正弦波动规律:
(美元)(t(天),
,
),现采集到下列信息:最高油价80美元,当
(天)时达到最低油价,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104dcdf30ffe4fb92c60d0e016aa690d.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/7d07c1939b2d18fd8e3001a50d929544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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2019-05-17更新
|
402次组卷
|
8卷引用:步步高高一数学暑假作业:作业21 三角函数模型的简单应用
步步高高一数学暑假作业:作业21 三角函数模型的简单应用(已下线)【师说智慧课堂】5.7三角函数的应用-2021-2022学年高中数学新教材同步检测题湖南省长沙市长沙县2020-2021学年高一上学期期末数学试题(已下线)专题5.7 三角函数的应用-2020-2021学年高一数学尖子生同步培优题典(人教A版2019必修第一册)1.8三角函数的简单应用-【基础题】2020-2021学年高一数学北师大2019版第二册1.8 三角函数的简单应用 同步课时训练-2022-2023学年高一下学期数学北师大版(2019)必修第二册人教A版(2019) 必修第一册 数学奇书 学业评价(五十六)三角函数的应用(已下线)5.7三角函数的应用(导学案)-【上好课】
10-11高三上·河南信阳·阶段练习
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4 . 电流强度
(安)随时间
(秒)变化的函数
的图象如图所示,则当
时,电流强度是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f282d926176361c839712506c6e9b23b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602e4432fd8472607f8c8bdfa83b32a1.png)
![](https://img.xkw.com/dksih/QBM/2011/12/28/1570636538626048/1570636543983616/STEM/48ec385f46714c4d9c59b827c715e43d.png?resizew=363)
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2016-12-01更新
|
1502次组卷
|
10卷引用:2011届河南省信阳市高三上学期第一次调研考试理科数学卷
(已下线)2011届河南省信阳市高三上学期第一次调研考试理科数学卷(已下线)2012届河北省郑口中学高三12月月考试题理科数学(已下线)2012-2013学年江苏省江都市大桥中学高一下学期期中考试数学试卷人教A版(2019) 必修第一册 逆袭之路 第五章 5.7 三角函数的应用四川省乐山市2019-2020学年高一上学期期末数学试题(已下线)专题30+5.7三角函数的应用(重点练)-2020-2021学年高一数学十分钟同步课堂专练(人教A版2019必修第一册)(已下线)5.7 三角函数的应用 2020-2021学年高一数学同步课堂帮帮帮(人教A版2019必修第一册)河南省新乡县高级中学2020-2021学年高一下学期第二次月考数学试题四川省凉山州宁南中学2021-2022学年高一下学期开学考试数学试题(已下线)专题10 《三角函数》中的数学文化与学科交汇问题-2021-2022学年高一数学上册同步培优训练系列(苏教版2019)
5 . 某实验室一天的温度(单位:
)随时间
(单位:
)的变化近似满足函数关系式:
,
.
(1)求该实验室一天当中上午
时的温度;
(2)若某实验需要在不低于
的条件下才可以做,那么该实验应该在一天当中的哪个时间段进行?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc741130e64ac9491fb310c9abf9e2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6187edb9137164a98471e7ede47917ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233386232ce77f516b963a26a092f2ed.png)
(1)求该实验室一天当中上午
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
(2)若某实验需要在不低于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e77ccffd29a48479316536ada9458e39.png)
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解题方法
6 . 某实验室一天的温度(单位:
)随时间
(单位:
)的变化近似满足函数关系:
,
.
(Ⅰ)求实验室这一天的最大温差;
(Ⅱ)若要求实验室温度不高于
,则在哪个时间段实验室需要降温?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc741130e64ac9491fb310c9abf9e2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b7e1ae9399cfce6efc9480269f7c2e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233386232ce77f516b963a26a092f2ed.png)
(Ⅰ)求实验室这一天的最大温差;
(Ⅱ)若要求实验室温度不高于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880848a6fb6590fc33c8b7a76850e8b6.png)
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2020-02-20更新
|
249次组卷
|
2卷引用:福建省福州市第一中学2019-2020学年高一上学期期末数学试题
7 . 以圆形摩天轮的轴心
为原点,水平方向为
轴,在摩天轮所在的平面建立直角坐标系.设摩天轮的半径为
米,把摩天轮上的一个吊篮看作一个点
,起始时点
在
的终边上,
绕
按逆时针方向作匀速旋转运动,其角速度为
(弧度/分),经过
分钟后,
到达
,记
点的横坐标为
,则
关于时间
的函数图象为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f50605db5d5f8f3a01ee8e474a112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f50605db5d5f8f3a01ee8e474a112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d149d6494edb039646fb153d6cb00bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f88ec2dbad3fa6208c0493291e5ccdcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc9730809c7086f3f62e57fb779ef85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f88ec2dbad3fa6208c0493291e5ccdcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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