名校
解题方法
1 . 定义在
上的函数
,若
在
内只取到一个最大值和一个最小值,且当
时函数取得最大值为3;当
,函数取得最小值为
.
(1)求函数
的解析式;
(2)求关于
的不等式
的解集;
(3)若将函数
的图像保持横坐标不变纵坐标变为原来的
得到函数
,再将函数
的图像向左平移
个单位得到函数
,且函数
的最大值为
,求满足条件的
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/612b129390deda77c7cbc34c78f40ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc3b19f680e39fc028cc5a9d69631e19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c3319647314c3b6d82958a909acd2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fec8124bd6c41fa4673ff838db16093.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26fdd5f85a21617127cba82aa49de2d9.png)
(3)若将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda96c08c50e3495200bb200175732e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc70642f1ef17e7c52127893bcc722b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe84f65c9c4345ae5ddcdafa89e7273.png)
您最近一年使用:0次
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2 . 已知函数
(
,
,
)的部分图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/16/6860b38b-047a-4e49-bd47-932a4a8ed48c.png?resizew=165)
(1)求
的解析式;
(2)设函数
,求
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5e2a383cb47eb87493e86c8c40caf0.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/8d618fd526a32c4dd90e4fa149aba3e6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/16/6860b38b-047a-4e49-bd47-932a4a8ed48c.png?resizew=165)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee349bdbd7cc65ab95b74112ab10c59e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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2023-11-20更新
|
537次组卷
|
3卷引用:5.6 三角函数图像的综合应用(AB分层训练)-【冲刺满分】
3 . 已知函数
的部分图象如图所示:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/12/097fc5f4-78fe-474e-93cb-ff0dcdbfe4e7.png?resizew=176)
(1)求方程
的解集;
(2)求函数
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9aa0fc5dac8f20172943d1360a129a8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/12/097fc5f4-78fe-474e-93cb-ff0dcdbfe4e7.png?resizew=176)
(1)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d0c5eb60081c8a8c1e8258a7622251.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e48bf2e9b0f815d059cdd39a80bd8602.png)
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解题方法
4 . 在①
的图象关于直线
对称,②
的图象关于点
对称,③
的图象上最高点中,有一个点的横坐标为
这三个条件中任选一个,补充在下面问题中,并解答.
问题:已知函数
的振幅为2,初相为
,最小正周期不小于
,且______.
(1)求
的解析式;
(2)求
在区间
上的最大值和最小值以及取得最大值和最小值时自变量x的值.
注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f56a20bc5fce6b02217627b42249854.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eede791191f5973c694a31392cd5770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
问题:已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d1911558f70c5f7fb674145d73410e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d865ea2441efddf39571f4088c3378.png)
注:如果选择多个条件分别解答,按第一个解答计分.
您最近一年使用:0次
名校
5 . 如图是函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec89c3bc454d209007c2b29baeeb3b0.png)
的部分图像,
是它与
轴的两个不同交点,
是
之间的最高点且横坐标为
,点
是线段
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/61a4979e-0275-4370-8bbe-3a664c5e6be5.png?resizew=182)
(1)求函数
的解析式及
的单调增区间;
(2)若
时,函数
的最小值为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec89c3bc454d209007c2b29baeeb3b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d935a28c512eb20017e1b4777a40b55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5421a28dc3675ae20190d6090793246e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/61a4979e-0275-4370-8bbe-3a664c5e6be5.png?resizew=182)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a1e7446e278cb3c3bda094bba5c858.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c97ccd45902e5235d915b198adc5cb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
6 . 建设生态文明,是关系人民福祉,关乎民族未来的长远大计.某市通宵营业的大型商场,为响应节能减排的号召,在气温超过
时,才开放中央空调降温,否则关闭中央空调.如图是该市夏季一天的气温(单位:
)随时间(
,单位:小时)的大致变化曲线,若该曲线近似的满足函数
关系.
![](https://img.xkw.com/dksih/QBM/2019/5/12/2201860659126272/2201993021431808/STEM/1ee2e061810640c88c1803e97159af0b.png?resizew=205)
(1)求函数
的表达式;
(2)请根据(1)的结论,判断该商场的中央空调应在本天内何时开启?何时关闭?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8407933abd16b7d1212b07835e22b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de96374212b9a5df820d78d10e7d1291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf0f15f3051152a235f19d336848f37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63956ba3b891abf111356694ce215c90.png)
![](https://img.xkw.com/dksih/QBM/2019/5/12/2201860659126272/2201993021431808/STEM/1ee2e061810640c88c1803e97159af0b.png?resizew=205)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)请根据(1)的结论,判断该商场的中央空调应在本天内何时开启?何时关闭?
您最近一年使用:0次
2019-05-12更新
|
1675次组卷
|
10卷引用:【市级联考】山东省潍坊市2018-2019学年高一下学期期中考试数学试题
【市级联考】山东省潍坊市2018-2019学年高一下学期期中考试数学试题江西省新余市第一中学2019-2020学年高一下学期第二次月考数学试题(已下线)7.3.2正弦型函数的性质与图象(2)练习(1)(已下线)第05章+三角函数(A卷基础篇)-2020-2021学年高一数学必修第一册同步单元AB卷(新教材人教A版)江苏省南通市西亭高级中学2020-2021学年高一上学期期末模拟数学试题北师大版(2019) 必修第二册 金榜题名 进阶篇 十三 三角函数的简单应用(已下线)第5章 三角函数 章末测试(基础)-2021-2022学年高一数学一隅三反系列(人教A版2019必修第一册)四川省南充市高坪区白塔中学2022-2023学年高一下学期5月月考数学试题(已下线)第13讲 函数y=Asin(ωx+φ)的图像与性质(3大考点)-2022-2023学年高一数学考试满分全攻略(人教A版2019必修第一册)(已下线)考点23 三角函数的图像与性质、三角函数模型的应用(考点专练)-备战2021年新高考数学一轮复习考点微专题
名校
7 . 函数
的部分图象如下图所示,该图象与
轴交于点
,与
轴交于
两点,
为图象的最高点,且
的面积为
.
(1)求函数
的解析式及单调增区间;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/967910584cddfdd66bf21749bc511d66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5421a28dc3675ae20190d6090793246e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad3e2b2689dfe97ec82d473ab6cf469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0279b90ce3452c798dd1d662e868c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64776a88778c94ad0b6a108532ac215.png)
![](https://img.xkw.com/dksih/QBM/2018/6/11/1965125363589120/1967145675931648/STEM/408ad8cc66cd43f6bec6b0f3c893f2aa.png?resizew=189)
您最近一年使用:0次
11-12高一下·广东云浮·阶段练习
8 . (1)利用“五点法”画出函数
在长度为一个周期的闭区间的简图(要求列表描点)
![](https://img.xkw.com/dksih/QBM/2012/3/28/1570822326493184/1570822331703296/STEM/89a679fac58b4311bbbf76cf7ec5dbcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f4a5618c441c4213a88c2a1be1f9be9.png)
您最近一年使用:0次