1 . 如图,单位圆被点
,
,
,…,
平均分成
份,以
轴的正半轴为始边,
(
…
)为终边的角记为
,则
=____ ,
=____ .(说明:∑是一个连加符号,
…
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3032022198160740d6aee8e740d5337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b56e44e4f0424a2b7a45567120a2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd23f3dd69b74faf3894ae4906491e72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a233a68d44c3f785ba526b7e7a0c3284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc77f15f285b167d7db6f3bbde8c42c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72c71b603f34d989439c98ef1f910e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f1898d6fb68464c6dddd3018fb8c2b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b836282b94b206ac048d07f1d0d7fb9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ebfccb2ef5900aeb8d21f040a94861b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc982ffb0082da2cda83da7d9d276ac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b53af7d85a1efe4b4f66d3f260cfe88.png)
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2 . 如图所示,角
的终边
与单位圆交与点
,点
是射线
上异于点
的一个动点.
和
的值,并写出点
的坐标;
(2)若将角
的终边
逆时针旋转
至
的位置,设
与单位圆交与
,若
的坐标
,求
和
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e85ad7d86198d853a26812b40cc7ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f798a9af75a091a8be0b71f2038260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a282d19bf2c827a98d4443330f7ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)若将角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9046c39511eb37404a6ba49c5dca7364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9046c39511eb37404a6ba49c5dca7364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d57d7dd861286e5ee6ec8dff0e19c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d57d7dd861286e5ee6ec8dff0e19c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/effd10b49b219d887905441b8cb409e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c837083b53f3326d6257c36a3676510c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11135a547eb8313b681dcb53b51f366d.png)
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3 . 在平面直角坐标系xOy中,点P从点
出发,在以原点O为圆心,2为半径的圆上按逆时针方向做匀速圆周运动,且每秒钟转动3弧度,记t秒时点P的纵坐标为
.
(1)求
的解析式;
(2)若点P的纵坐标第n次等于
的时刻记为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb8c1ac253f504497962194df593bb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2709ca478fb15ea08e8aa55328eae8e6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2709ca478fb15ea08e8aa55328eae8e6.png)
(2)若点P的纵坐标第n次等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9297e289a9ef977009186083ec738ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af36bffeb6c6b916b59884063fc73b1.png)
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4 . 下列命题为假命题的是( )
A.![]() |
B.与![]() ![]() |
C.若![]() ![]() |
D.已知点![]() ![]() ![]() |
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2022-12-17更新
|
890次组卷
|
2卷引用:陕西省西安市曲江第二中学2022-2023学年高一上学期期末数学试题
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5 . 下列命题正确的有( )
A.已知函数![]() ![]() ![]() ![]() ![]() |
B.设![]() ![]() ![]() ![]() |
C.设角![]() ![]() ![]() |
D.使得![]() ![]() |
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