解题方法
1 . 如图,在平面直角坐标系中,角
的始边均为x轴非负半轴,终边分别与单位圆O交于
两点,
.
![](https://img.xkw.com/dksih/QBM/2022/1/22/2899878450462720/2905089194344448/STEM/06ae0fccaf4b437980be25c46dbc3fc7.png?resizew=215)
(1)若点A的纵坐标为
,求
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adaa0a1cb07d40bcb6d11a3d1fd007fb.png)
![](https://img.xkw.com/dksih/QBM/2022/1/22/2899878450462720/2905089194344448/STEM/06ae0fccaf4b437980be25c46dbc3fc7.png?resizew=215)
(1)若点A的纵坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee14db57f0c762aad845cf5b4a243c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72dbc0beb7da0da908356066b122b17b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a950167d57097085d189152a5fa2dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f90c4754e6b6fc862d72943fb35569.png)
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名校
解题方法
2 . 在平面直角坐标系
中,
的顶点
与坐标原点重合,点
在
轴的正半轴上,点
在第二象限,且
,记
,满足
.
(1)求点
的坐标:
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b46203728bb089612d0ae92a8a939085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a9781cd710e738d50a0f5c00f72e20d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9fe48d9c2124820b661e389fdb16463.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b7015994c59764fa5c838c5f1557b7b.png)
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解题方法
3 . 已知角
的终边经过点
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f40d5459e1385ab7d829ea96ca0b946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42eb1a969fa86688d2793c027b8374c6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知角
的终边上一点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3005dc468ccc533721a2d9369d7bae3.png)
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3005dc468ccc533721a2d9369d7bae3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c7bd5cf29c60dedd175545b930d18aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acacf9d50810f5de40c47ea681f28b6d.png)
A.![]() | B.![]() |
C.![]() | D.以上答案都不对 |
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5 . 已知点
是角
终边上一点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c085061d46a5c511c6dac1d9fb5277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
6 . 如图,在平面直角坐标系中,锐角
和钝角
的顶点与原点重合,始边与
轴的非负半轴重合,终边分别与单位圆交于
,
两点,且
.
![](https://img.xkw.com/dksih/QBM/2022/1/20/2898699163156480/2903335661297664/STEM/55e1f586-8668-4999-8fb0-d2021f3a0104.png?resizew=169)
(1)求
的值;
(2)若点
的横坐标为
,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/81dea63b8ce3e51adf66cf7b9982a248.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/3825ccc273ef9a672a606432d165b866.png)
![](https://img.xkw.com/dksih/QBM/2022/1/20/2898699163156480/2903335661297664/STEM/55e1f586-8668-4999-8fb0-d2021f3a0104.png?resizew=169)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90872cdefb08de6f4ec23ee6cb23b799.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26c871debfd2b8a233e7068bb5156da0.png)
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名校
解题方法
7 . 在平面直角坐标系
中,角
的始边为
轴的非负半轴,终边经过点
,求下列各式的值:
(1)
;
(2)
.
![](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/c6aa27568449a673153e010586a16a91.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6014519715a77d1a3988677e861d499.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/341a615b4910c24bbc80466c4bc2806a.png)
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解题方法
8 . 已知点
,
是圆
:
上两点,动点
从
出发,沿着圆周按逆时针方向走到
,其路径长度的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9df17a36ad1028b4c4099b7a956dbe6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cab5c6534e43f0ecc54a311a16df80e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f285c23bbc61f073e174b411d4116d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
9 . 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
,
两点,
,
的纵坐标分别为
,
. 则
的终边与单位圆交点的纵坐标为_____________ .
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7294f5ae2a24ff42e84cd9773b2a7287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc4c63a548b91061528aa11058de75.png)
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10 . 已知角
的终边经过点
,且
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c96ea40fcaf49d4479cab9157adbed97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969b106918cf44777d177a0538da8cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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