解题方法
1 . (1)画图象:已知函数
.请用“五点法”列表,并在下图中作出函数
在
上的简图
(2)求下列未知向量
;
(3)化简下列式子
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87615b311935bf759dba4c99be05b135.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b604c6522119e77c1cb16b91532a2c1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/27/8cc6633a-b0df-48f1-b73d-4a50d9a6df4b.png?resizew=375)
(2)求下列未知向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fb6b59e0ca41a2232d39662b4741a8f.png)
(3)化简下列式子
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11947b50c20ea84df99bcbc2a67f9d29.png)
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名校
2 . 敲击如图1所示的音叉时,在一定时间内,音叉发出的纯音振动可以用三角函数表达为
(其中
,
表示时间,
表示纯音振动时音叉的位移).图2是该函数在一个周期内的图像,根据图中数据可确定
和
的值分别为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/64dd7da6-d4cc-42fc-b84a-a0cdca0c15e0.png?resizew=346)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e83347805bcbdf7f28616c4feeeebb42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/64dd7da6-d4cc-42fc-b84a-a0cdca0c15e0.png?resizew=346)
A.![]() ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
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2021-07-11更新
|
390次组卷
|
3卷引用: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)
(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)山东省潍坊市2020-2021学年高一下学期期末数学试题河南省焦作市第一中学2022-2023学年高一下学期3月月考数学试题
21-22高一·湖南·课后作业
3 . 做简谐振动的小球上、下运动,它在时刻
时相对于平衡位置
的位移
由函数关系式确定:
.
(1)以
为横坐标,
为纵坐标,作出这个函数的简图;
(2)求该简谐振动的振幅、最小正周期、频率和初相.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41fb80b591b497d8d7a6d8592160de44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a8e2712494bc2022c30d37e395cf10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6284636956bc3e815624ef8a93d9618b.png)
(1)以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)求该简谐振动的振幅、最小正周期、频率和初相.
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2021高一上·江苏·专题练习
4 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6230be733604a67c0594ebeb10d14890.png)
(1)若角
的顶点与原点
重合,始边与
轴的非负半轴重合,它的终边过点
,求
的值;
(2)若
,函数
是奇函数,求
的值;
(3)若
,是否存在实数
,使得函数
的最小值为
,如果存在,求出实数
的值;如果不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6230be733604a67c0594ebeb10d14890.png)
(1)若角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](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/8a9d86d46657a5e186e6a8ed698474c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d7f440c63f1cc2199857b0c6e74ee6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f687593cb4ecef31667bf2320fdfe000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/800412cade2e256b1f313603b28587df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce485410257c9c1fae9d87ce3e44cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9987521a298dc846d8bf70d84e96a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2021高二·江苏·专题练习
解题方法
5 . 在平面直角坐标系
中,直线
,
,
,
,
(
).
(1)证明直线
和
过同一个定点
,并求
到直线
的距离
;
(2)若
与
交于
点,
与
交于
点,记
,
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662ce2fa01b82f84c730d11afc6000dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f49d9c3013da5e3c3a54c0decb56c33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09105430634bbf0b5ff6ea0f126fb3a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d23314be1762a3e81b64855d81e7c71.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed0e33ce86afd345af341c43693b99c7.png)
(1)证明直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f2813ee8f26cca880b6427f5f545d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f2813ee8f26cca880b6427f5f545d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b05bf23fc23d66e05af9eb79a7a7d17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf3614b34fdc6fda470179e84cc1f693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5224a7da7fe6bc28971ce4c277f88588.png)
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