名校
解题方法
1 . 已知函数
.
(1)若角
的终边经过点
,求
的值;
(2)若
.且角
为第三象限角,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20141c4d2d98b45da43d52dd26035d2e.png)
(1)若角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f4d63efe3b074b8644890d2c4902f26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b44e371f1c5750bb4ad50784fc69b7b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dada538136de99cfdd870e8dd8162637.png)
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2020-03-14更新
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名校
2 . 已知
,
为钝角,角
终边上的一点为
,求:
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ebb96c73c0abf240bdc3f9d1ecec7b.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/ab9b3a8577ec685d890e620514cc1cc3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d84cc212fe11c531d315f372968b43a.png)
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2020-02-19更新
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2卷引用:河北省秦皇岛市卢龙县中学2019-2020学年高一上学期期末数学试题
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3 . 设角
的顶点与坐标原点重合,始边与
轴的非负半轴重合,它的终边上有一点
,且
.
(1)求
及
的值;
(2)求
的值.
![](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/f1a0ff21c540397c60e41bfe1ff2c4aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8243953e45f9db416d64b444b259b02b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a6aad40c02d5217af4535853938065b.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b064c397420c9964e3127fd920768337.png)
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4卷引用:河北省承德市2019-2020学年高一上学期期末数学试题
4 . 已知角
的终边经过点
,求下列各式的值.
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb40db95dddae34e1a85cdcd045917f.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8ff471824da7bf5393c19cde723827.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd1819c8b81538768b624f747d9cbb8.png)
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3卷引用:河北省2019-2020学年高一上学期第三次选科调研数学试题
5 . 已知角θ的终边经过点
,求下列各式的值.
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb40db95dddae34e1a85cdcd045917f.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8b28767e35bfb164848bf4f9d7b8f3d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8070ce13f8d983ad08996eddac23df38.png)
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2卷引用:河北省邢台市2019-2020学年高一上学期期末数学试题
6 . 已知角
的终边在直线
上.
(1)求
,并写出
与终边相同的角的集合
;
(2)求值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f3b4416a186069ad6dbe9d9c1ed76e8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(2)求值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebb127b277cd29efd974cd5ad6962124.png)
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名校
7 . 已知角
的终边上一点
,且
。
(1)计算
及
;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/126a871dd4ec775ff45318095e4f2b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/874eb9d4a07faa074a6fed787cc6c771.png)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af64caa774a6bd91bd2cfe5099d251ae.png)
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2011高三·河北·专题练习
8 . 已知点
是角
终边上的一点,试求
,
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b756472c47435016ffa918a2bd87d48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
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9 . 已知角
的终边过点
,求角
的正弦、余弦和正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8902bff3e60ecebdcd71bb2ee8bb97b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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名校
10 . 如图所示,在平面直角坐标系中,锐角
、
的终边分别与单位圆交于
,
两点,点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/b515b724-8790-48b8-8527-15c3f166b87c.png?resizew=164)
(1)若点
,求
的值:
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ce57635b64d5a2d1a94211003e0af8a.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/37eebcc6499011d91f31923ea14cd4cf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/b515b724-8790-48b8-8527-15c3f166b87c.png?resizew=164)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3a867d4655c9565daaf45b59db8dc9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6abc69c57972a4efb8301e3308ea9ca6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3296a7f0170d4aae965d809a411a527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63fe57d4fbae536de2e641d9d349fcf1.png)
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