解题方法
1 . 在平面直角坐标系中,对任意角
,设
的终边上异于原点的任意一点
的坐标为
,它与原点的距离是
.我们规定:比值
分别叫做角
的正割、余割、余切,分别记作
,则下列叙述正确的有( )个.
①
;
②
;
③
;
④
有意义的条件是
;
⑤
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e95dcba475a8e4b581c31c770199aa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ad81d7f478b49ca8bf4927a6e8880c.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1304f25bfdd5a5d7504f89aa6195ec8.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14584370ddf4d9e6713d46146b47ffd8.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17621648361b392a77642935e4683e71.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9085195f5d04d5e224f4c8df470a9c7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e08917d394e5325ea38d991ffb84741.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb15a153edf022bc907cb4d6e7949f7.png)
A.0 | B.1 | C.2 | D.3 |
您最近一年使用:0次
名校
解题方法
2 . 在平面直角坐标系
中,角
的顶点在原点,始边与x轴的非负半轴重合,终边经过点
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e514bc1761deff47d27c1909c1906ab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55175604c64b21385bd33635414d72ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b8c06e375c47a27ecb32e6d05ae081.png)
A.![]() | B.![]() | C.1 | D.5 |
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2024-03-31更新
|
670次组卷
|
7卷引用:四川省南充高级中学2023-2024学年高一下学期第一次月考(3月)数学试题
四川省南充高级中学2023-2024学年高一下学期第一次月考(3月)数学试题江苏省南京市六校联合体考试2023-2024学年高一下学期4月期中数学试题(已下线)高一 模块3 专题1 第1套 小题进阶提升练(已下线)高一 模块3 专题1 第3套 小题入门夯实练【人教B版】四川省泸州高级中学校2023-2024学年高一下学期5月期中考试数学试题(已下线)江苏省南京市六校联合体考试2023-2024学年高一下学期4月期中数学试题变式题6-10(已下线)专题02 三角恒等变换题型归纳-《期末真题分类汇编》(江苏专用)
解题方法
3 . 已知角的始边为
轴的非负半轴,顶点为坐标原点,若它的终边经过点
,则
( )
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
4 . 点
从
出发,沿着单位圆顺时针运动
到达点
,则点
的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ded59b34148e23013fc60bb96c53ef42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09736df210a4ec4692c56478cb80ead0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-29更新
|
370次组卷
|
2卷引用:安徽省A10联盟2023-2024学年高一下学期开学考试数学试卷
解题方法
5 . 已知角的始边为
轴的非负半轴,顶点为坐标原点,若它的终边经过点
,则
( )
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
6 . 在平面直角坐标系
中,角的顶点与坐标原点
重合,始边为
轴的非负半轴.第一象限角
的终边与单位圆交于
,第二象限角
的终边与单位圆交于
.
(1)求
的值;
(2)求
的面积.(梯形的面积公式
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4749e5609ce669e7c03f8af55a6f1bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89b68e4daae34db04df0b165efd8dbe.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f4de7b076d0d87e13cbabf6706701f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7385b677bfb5b387e3aa4659f9929cba.png)
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解题方法
7 . 将边长
的矩形
按如图所示的方式折叠,折痕过点
,折叠后点
落在边
上,记
,则折痕长度![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd1846e964fd60c54888a3c706a97442.png)
______ .(用
表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de49f19ea0a087c50d9a1b3409403693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd1846e964fd60c54888a3c706a97442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
解题方法
8 . 已知角
的终边上有一点
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7d8cc13666ef5e288a3c98e2fc56aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f90c4754e6b6fc862d72943fb35569.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 如图,在平面直角坐标系中,锐角
,
的终边分别与单位圆交于
,
两点,如果点
的纵坐标为
,点
的横坐标为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/24/e8ea919f-9b13-4590-acd0-8f19a6065def.png?resizew=164)
(1)求
的值.
(2)将
绕原点
顺时针旋转
到
,求点
的坐标.
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/954795d1842974a705f9468f3b952ab1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/24/e8ea919f-9b13-4590-acd0-8f19a6065def.png?resizew=164)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28bc6ce7e631bcd313e0f30a13e47f5a.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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10 . 已知点
为角
终边上一点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d9d2938029ea70cf742d2e526886da4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66e7cd4e866f7e0e38c51a799b087ace.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次