已知角
的始边为
轴的非负半轴,其终边与以原点为圆心的单位圆交于点
,试回答下列问题:
(1)写出三角函数
的值;
(2)若角
是第二象限角,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0baaa297b253d9da51d14bb1c6d2566a.png)
(1)写出三角函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c31902bf043fa535c98ed438f94dd2.png)
(2)若角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/572215b3eb1c80911f79f115649e2931.png)
更新时间:2018-03-26 17:53:34
|
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解答题-问答题
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适中
(0.65)
名校
解题方法
【推荐1】如图,在平面直角坐标系
中,锐角
和钝角
的终边分别与单位圆交于
两点.点
的横坐标是
,点
的纵坐标是
.
(1)求
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(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/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5756451881af4d6594c820652ebcc2a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/17/35b48594-7d6a-4a61-acd8-70791b9861db.png?resizew=150)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5653b4620620d07b555e4a6c9ff91f6.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/569087ece1739f75121b549c7de10058.png)
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【推荐2】已知角
的终边过点
,且
.
(1)求
,
,
的值;
(2)求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac051cbef4e6293d83c3ef614be27149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969b106918cf44777d177a0538da8cb3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f90c4754e6b6fc862d72943fb35569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d7e5571fc99aa43bf12e728a8a7014e.png)
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【推荐1】设A、B是单位圆O上的点,C是圆与x轴正半轴的交点,
为正三角形,AB//x轴,
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/63f858ac-d966-43ec-8acc-4c2d52da42bd.png?resizew=157)
(1)求
的三个三角函数值;
(2)设
,求
的值..
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd2981bf2261343f905ec1b5355a3c4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/63f858ac-d966-43ec-8acc-4c2d52da42bd.png?resizew=157)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e1e2a60c37ebc303d4fc2bf3d6a234.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/813b1b0327154103afd7a728f00cfeda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6773195ac735290816792f5da5441990.png)
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【推荐2】在平面直角坐标系中,已知角
的终边与单位圆交于点
,将角
的终边顺时针旋转
后得到角
,记角
的终边与单位圆的交点为
.
(1)若
,求
点的坐标;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/652651136a95eafad5a07690b5912808.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea4192f147649b664a03c0bcc045f40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d6d6125f509e1c51a37c9f6b199989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
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【推荐1】在
中,角
、
、
所对的边分别为
、
、
.已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ceaa9577b85ac6e16bbe915659254c6.png)
.
(1)求
的值;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ceaa9577b85ac6e16bbe915659254c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da263cd968d31dcdd45364ef8de4c7b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e5d4f93699f8dcffb0e7840ca5597e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c2d770627f29a7c1fa6659ecee13b54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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【推荐2】已知角
的顶点在原点,始边与
轴的非负半轴重合,终边上一点
的坐标是
.
(1)求
;
(2)求
;
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9fd1f6d55d9015176b3417d1b20170b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a52afa299e18e034bf294e98d267dee6.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/163f2f72c24e7ea3b15a497555533b4e.png)
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【推荐1】已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69abed9be91b0e5f5e16a30a8a11b466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30bae778af82bcf6c5976348bfdd187b.png)
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【推荐2】已知向量
,
,函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa57b05c7b6ae990dfa166eeee7b1c74.png)
(1)求
的最小正周期和单调增区间;
(2)求
在区间
上的最大值和最小值,并求出相应
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e8d519546aa3d263848a512f439d192.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ae2ac03974e5e1e13acaadc649d24e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa57b05c7b6ae990dfa166eeee7b1c74.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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