名校
解题方法
1 . 在单位圆中,锐角
的终边与单位圆相交于点
,将射线
绕点
按逆时针方向旋转
后与单位圆相交于点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aee5d26b29c7af2ba7b94ee79e4fd48.png)
(1)求
的值;
(2)记点
的横坐标为
,若
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859a0251951f02c35048eb3da61b9fd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aee5d26b29c7af2ba7b94ee79e4fd48.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d217df340b9546688f925928f001d66.png)
(2)记点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e1d3f78a802596b825166767ceee40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f7209bea285aa2feb7ce8c1e556b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/476c1028ab48d8f3779e1217b8bf63d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aff716f247a92692a7b498172ee1704f.png)
您最近一年使用:0次
2024-02-27更新
|
510次组卷
|
3卷引用:山东省北镇中学2023-2024学年高一下学期开学考试数学试题
山东省北镇中学2023-2024学年高一下学期开学考试数学试题(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(2)-同步精品课堂(人教B版2019必修第三册)辽宁省沈阳市第一二〇中学2023-2024学年高一下学期第一次月考数学试题
名校
解题方法
2 . 在平面直角坐标系xoy中,角
与
的顶点均为坐标原点O,始边均为x轴的非负半轴.若角
的终边OP与单位圆交于点
,将OP绕原点O按逆时针方向旋转
后与角
的终边OQ重合.
(1)求
的值;
(2)求
的值.
![](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/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eae6bdef3cb76b85dff06c88c6eb34d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f35152720e43c6403d43bef47c0377d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7ed832dea9bf3da6076ecd5f9ace81.png)
您最近一年使用:0次
2024-02-05更新
|
333次组卷
|
4卷引用:山东省济宁市2023-2024学年高一上学期期末质量检测数学试题
解题方法
3 . 在平面直角坐标系xOy中,单位圆
与x轴的正半轴及负半轴分别交于点A、B,角
的始边为OA,终边与单位圆交于x轴下方一点P.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/22/6da3729e-ed70-433b-bbc1-e8d9dfd71434.png?resizew=163)
(1)如图,若
,求点Р的坐标;
(2)若点P的横坐标为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/22/6da3729e-ed70-433b-bbc1-e8d9dfd71434.png?resizew=163)
(1)如图,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4eef58d640049ffde7a70129106e92b.png)
(2)若点P的横坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07dbd8a44d6c8368f67525b669a7ceb.png)
您最近一年使用:0次
名校
解题方法
4 . 如图,在平面直角坐标系
中,角
的顶点与原点重合,始边与
轴的非负半轴重合,终边与单位圆交于点
,
.
![](https://img.xkw.com/dksih/QBM/2022/1/16/2895557677785088/2895673951182848/STEM/cb5a6f11607043438d973f413a4c6bd8.png?resizew=214)
(1)求
的值;
(2)将射线
绕坐标原点
按逆时针方向旋转
后与单位圆交于点
,求
的值;
(3)若点
与
关于
轴对称,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84bd36d19352628cb54c214436ee3322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e70e388af6a9fb1cb4ca416c608d5d.png)
![](https://img.xkw.com/dksih/QBM/2022/1/16/2895557677785088/2895673951182848/STEM/cb5a6f11607043438d973f413a4c6bd8.png?resizew=214)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
(2)将射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc6f627b98fb90247708d94473b8ad3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63711c480473cbc27a06cdb82ddd000.png)
您最近一年使用:0次
2022-01-16更新
|
423次组卷
|
3卷引用:山东省菏泽市成武第一中学2022-2023学年高一上学期12月月考数学试题
名校
5 . 如图,角
的顶点与平面直角坐标系
的原点重合,始边与
轴的非负半轴重合,终边与单位圆交于点
,若点
的坐标为
.
![](https://img.xkw.com/dksih/QBM/2021/1/30/2647330847588352/2650766706827264/STEM/26f2c1f95d8e40948d9c4c526f19e7b2.png?resizew=145)
(1)求
的值;
(2)若将
绕原点
按逆时针方向旋转
,得到角
,设
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/c32d85f28562ac5bc372a904a55ffd64.png)
![](https://img.xkw.com/dksih/QBM/2021/1/30/2647330847588352/2650766706827264/STEM/26f2c1f95d8e40948d9c4c526f19e7b2.png?resizew=145)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a20cdd2e7717da4f91c416ca4416f0a.png)
(2)若将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36581140ebac5d28438ea63b1b23b65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92110ee8664c15f3b9429cfc2e1b3028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e1ff798d2749e2e98557adc3b09b7a4.png)
您最近一年使用:0次
2021-02-04更新
|
598次组卷
|
2卷引用:山东省济宁市2020-2021学年高一上学期期末数学试题
6 . 如图,在平面直角坐标系
中,以
轴为始边作两个锐角
,
,它们的终边分别与单位圆相交于P,Q两点,P,Q的纵坐标分别为
,
.
![](https://img.xkw.com/dksih/QBM/2021/1/21/2640871923097600/2642811525767168/STEM/4696b7e755754843a8f11d8524d817a1.png?resizew=265)
(1)求
的值;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.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/eac97e6740365c85ad857aff85cefbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7294f5ae2a24ff42e84cd9773b2a7287.png)
![](https://img.xkw.com/dksih/QBM/2021/1/21/2640871923097600/2642811525767168/STEM/4696b7e755754843a8f11d8524d817a1.png?resizew=265)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc4c63a548b91061528aa11058de75.png)
您最近一年使用:0次
2021-01-24更新
|
773次组卷
|
4卷引用:山东省青岛市青岛第二中学2022-2023学年高一上学期期末数学试题
山东省青岛市青岛第二中学2022-2023学年高一上学期期末数学试题湖南省永州市2020-2021学年高一上学期期末数学试题黑龙江省哈尔滨市宾县第二中学2021-2022学年高一上学期期末数学试题(已下线)第15讲 任意角和弧度制及任意角的三角函数 (讲)- 2022年高考数学一轮复习讲练测(课标全国版)
7 . 已知角
的终边与单位圆
在第一象限交于点
,且点
的坐标为
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.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/935153fc876be9783979f6746272232c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98e9490197c94bcd70cdb006935d388b.png)
您最近一年使用:0次
2020-04-08更新
|
1271次组卷
|
3卷引用:山东省烟台市2018-2019学年高一下学期期中数学试题
名校
8 . 在平面直角坐标系
中,锐角
的顶点在坐标原点
,始边与
轴非负半轴重合,终边与单位圆交于点
,且点
的纵坐标为
.
(1)求
和
;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7294f5ae2a24ff42e84cd9773b2a7287.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02fc27f36003850ea40fb1d9cf18d462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850dba25bf0f5f13541bf9b6ec12b84d.png)
您最近一年使用:0次
2020-01-31更新
|
400次组卷
|
2卷引用:山东省菏泽市2019-2020学年高一上学期期末联考数学(A)试题
名校
解题方法
9 . 已知点
,点
是单位圆上的任意一点,
.
(1)若点
的横坐标为
,求
的值;
(2)若
是锐角,且
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c6ff81aedbefa935da289dc632e78eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eec6ce73c6786d50028addff089bbb64.png)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb8e3ed4652d56b8f086d7f94707060a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5875c2e91cf00419937685cbe79bea.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f058f3ebb0b297e2b9dd905f2047f930.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9e094f5ed5a123f1e6525699ce14dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb3ce22382b268b8197502a1d5eaf883.png)
您最近一年使用:0次