1 . 平面直角坐标系内一条直线经过点
,则一条射线初始位置与x轴正半轴重合,绕着原点逆时针旋转至第一次与这条直线平行时,旋转过的角大小为多少,用反三角函数表示?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dcdb9cee97cdc976e894dc8be1508ce.png)
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2 . 用反三角函数的形式把下列各式中的x表示出来.
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fd4e1aa53930580b3b2b2e09259b059.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b8f82bac4bfa67eebe211acc49bb91.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce92abb3e9db4e942968ef06c8d9ef20.png)
(4)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fd4e1aa53930580b3b2b2e09259b059.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b8f82bac4bfa67eebe211acc49bb91.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce92abb3e9db4e942968ef06c8d9ef20.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e19e93c2ea4a481d84ca49dc50ec3be5.png)
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3 .
三个角的大小关系是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a552d2bfb76c90357d4b7f85c429e1d.png)
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4 . 已知
,若
,用反正弦符号表示
为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d450aea0fb89e956fc4caa3a9c59fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c04ca22dba343e23584976deeedf071f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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5 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4f1eefdf01c45f7d4e6cbe97d0a4526.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4f1eefdf01c45f7d4e6cbe97d0a4526.png)
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6 . 已知直线倾斜角
的范围是
,当
时,
等于直线的斜率值.则直线
的倾斜角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f897eed68eaf69608ffa4cf9de94a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eb9fe45c7d4dd213d9c640150daec06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcfc6b5b7ae63a330f0cd8593ee47338.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7 . 下列叙述错误的是( )
A.![]() | B.若![]() ![]() |
C.若![]() ![]() | D.![]() |
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8 . 已知向量
,
,则
与
的夹角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5fafcc824b5cfb2d830a9e0adc2de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9168209fbda90f3027142bbdcb242a85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
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9 . 如图,渔船甲位于岛屿A的南偏西60°方向的B处,且与岛屿A相距12海里,渔船乙以10海里/小时的速度从岛屿A出发沿正北方向航行,若渔船甲同时从B处出发沿北偏东
的方向追起渔船乙,刚好用2小时追上,此时到达C处.
(2)求
的值;
(3)求角
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
(3)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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10 . 分别求满足下列条件的角.
(1)
,
;
(2)
,
;
(3)
,
;
(4)
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb78931653279a0ff82fde55343a8a15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354b1a20268319cf134ee49450a875f1.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e4c7b94f2f548b7b705ccc52ebc060c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1221bf22ceeb84670a0e64d1f1306ed.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e07efd9631cf77c718dacc216a7cfd34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab64f0d944704522d378c5d9ec9b8f5.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19987887f1a489e0d87ee600ba28d05b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9322dd8f56b5f8d2c667fdf0d4a9f9aa.png)
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