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1 . 如图所示,已知角
的始边为
轴的非负半轴,终边与单位圆的交点分别为
,
为线段
的中点,射线
与单位圆交于点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/549f63e3b5c421f653613f7cf3e6f26e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() |
B.![]() |
C.点![]() ![]() |
D.点![]() ![]() |
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2024-02-15更新
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6卷引用:广东省广州市真光中学2023-2024学年高一下学期期中考试数学试卷
广东省广州市真光中学2023-2024学年高一下学期期中考试数学试卷山东省济南市2023-2024学年高一上学期1月期末数学试题安徽省合肥一六八中学2024届高三“九省联考”考后适应性测试数学试题(三)(已下线)8.2.2两家和与差的正弦、正切-同步精品课堂(人教B版2019必修第三册)江西省鹰潭市2024届高三第一次模拟考试数学试题(已下线)信息必刷卷05
2 . 已知角
的终边在第二象限,且与单位圆交于点
.
(1)求实数m的值;
(2)
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf10e3087037e0c331e01310f440e389.png)
(1)求实数m的值;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2baa51094f83ddcb87c6d6ecb0c2bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
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2023-08-06更新
|
422次组卷
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2卷引用:贵州省遵义市播州区2022-2023学年高一下学期期中质量监测数学试题
解题方法
3 . 如图,在直角坐标系内,角
的终边与单位圆交于点
,
逆时针旋转
得
,
逆时针旋转
得
逆时针旋转
得
,则点
的横坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e514bc1761deff47d27c1909c1906ab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c288fb8f92acfdec96412be86919bc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1652145a4785b50fa22fdd8c63f724b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ae18c3151ef1283fbd7854562fdfc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ae18c3151ef1283fbd7854562fdfc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bb400af890a0d263eae7bdc0b594869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9123b1c8cb0bbaca44e8464bee03678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/457713c3ada6b1bf0b7242fe48635a0d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 如图,在直角坐标系中,角
的顶点是原点,始边与x轴的正半轴重合,终边交单位圆于点A,且
,将角
的终边按逆时针方向旋转
,交单位圆于点B,设
、
,分别过A、B作x轴的垂线,垂足依次为C、D,记
的面积为
,
的面积为
,若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35df73b2c3bf81fe1124558526a029c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926d1308d5db144e31b4d0211c63ef52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bbf9680f74a9ac5d934304654ce2771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4686f39b38d5b90309ee73ed89a0640.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8060a00d925f27135a7baff2d0e9d598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/13/a8ded693-f2c2-4cc0-a9c3-b6cb900de475.png?resizew=156)
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5 . 质点P和Q在以坐标原点O为圆心,半径为1的圆O上逆时针作匀速圆周运动,同时出发.P的角速度大小为
,起点为圆O与x轴正半轴的交点;Q的角速度大小为
,起点为射线
与圆O的交点.当P与Q第二次重合时,P的坐标为________ ;当P与Q第三次重合时,点P相对于其起点的位移的大小是________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a915213414e67ed256092ec856c1711.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059b7530c506efb568b487fb191ec080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b01ab98126e276ee55ee6a47ad09107.png)
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解题方法
6 . 若
,则α,
,
的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc282dae4ac9132196ac5d13f63b901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
7 . 在平面直角坐标系
中,
、
是位于不同象限的任意角,它们的终边交单位圆(圆心在坐标原点
)于A、B两点.若A、B两点的纵坐标分别为正数a、b,且
,则a+b的最大值为( )
![](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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c2577a5c28b1b45f498e6d9a1b2ab2.png)
A.![]() | B.![]() | C.![]() | D.不存在 |
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2021-01-15更新
|
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6卷引用:北京师范大学第二附属中学2021-2022学年高一下学期期中数学试题
北京师范大学第二附属中学2021-2022学年高一下学期期中数学试题上海市静安区2021届高三上学期一模数学试题江苏省苏州市八校2020-2021学年高三上学期期末联考数学试题(已下线)考向10 三角恒等变换-备战2022年高考数学一轮复习考点微专题(上海专用)(已下线)考向21基本不等式-备战2022年高考数学一轮复习考点微专题(上海专用)(已下线)专题06 三角函数(模拟练)-2
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8 . 在平面直角坐标系
中,角
与角
均以
为始边,它们的终边关于
轴对称,若
,则
( )
![](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/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d450aea0fb89e956fc4caa3a9c59fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b63e88d9ce4afb1766093727c466c577.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-09-05更新
|
699次组卷
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5卷引用:西藏自治区拉萨中学2020-2021学年高一下学期期中考试数学试题
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解题方法
9 . 在平面直角坐标系xOy中,角
与角
均以Ox为始边,它们的终边关于x轴对称.若角
的终边与单位圆交于点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b63e88d9ce4afb1766093727c466c577.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/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fee59ed569fd9219953906d76781952.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b63e88d9ce4afb1766093727c466c577.png)
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10 . 已知
,集合
,
,且
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/052a2d819b3ded8da4420915a108faf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a570acd07719ab273a7172f971c2d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ad895aa13a5e87785524580a43f4cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96f1ba0a1129741502600e47bf058c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
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2020-02-29更新
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187次组卷
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2卷引用:上海市浦东新区2015-2016学年高一下学期4月教学质量检测(期中)数学试题