1 . 已知
,
.
(1)求
的值;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75083d2a3f62c22971c6ef543e237420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29bfdb5f50c0514b2b7cb83b2c29407b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a975174b697129d6cc7bdaeaa9d5de71.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db538adbb2706f0b3b9dae38cc438f74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b2942c97548f9e6699d8d27209550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
您最近一年使用:0次
2024-06-14更新
|
506次组卷
|
2卷引用:陕西省镇安中学2023-2024学年高二下学期期中考试数学试题
名校
解题方法
2 . 已知
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d394016b9fecac73f38cbc4ff18dee2.png)
(1)求
,
的值;
(2)求
,
的值
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9bc052a11cf1a01445992672dde2836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d394016b9fecac73f38cbc4ff18dee2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9146fc0a63e5c14a8fa46573e60c07ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f90c4754e6b6fc862d72943fb35569.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78e8a621ef4f63633a8a70ababe0ca15.png)
您最近一年使用:0次
3 . 在平面直角坐标系
中,利用公式
①(其中
,
,
,
为常数),将点
变换为点
的坐标,我们称该变换为线性变换,也称①为坐标变换公式,该变换公式①可由
,
,
,
组成的正方形数表
唯一确定,我们将
称为二阶矩阵,矩阵通常用大写英文字母
,
,…表示.
中,将点
绕原点
按逆时针旋转
得到点
(到原点距离不变),求点
的坐标;
(2)如图,在平面直角坐标系
中,将点
绕原点
按逆时针旋转
角得到点
(到原点距离不变),求坐标变换公式及对应的二阶矩阵;
(3)向量
(称为行向量形式),也可以写成
,这种形式的向量称为列向量,线性变换坐标公式①可以表示为:
,则称
是二阶矩阵
与向量
的乘积,设
是一个二阶矩阵,
,
是平面上的任意两个向量,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6e18ee381b4e43352acb377fdb4bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ee82573986d4fa6a7ee1b5f397edae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0859290725efef72a1b04f473d07da6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c84c4a85e9f31e35bc48c15d9873a03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c84c4a85e9f31e35bc48c15d9873a03.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/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39822cb6df5463c27ac9bfed261a2ff6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/762bfc20a2da28b3c59225851ea40036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/762bfc20a2da28b3c59225851ea40036.png)
(2)如图,在平面直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ee82573986d4fa6a7ee1b5f397edae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0859290725efef72a1b04f473d07da6e.png)
(3)向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4224bf1cbcd51f4cbdce93d981d65c5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c17f1f4912527319e32f60e7523c65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26b9e508047e76f3a7ad88d587702ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd47bfcd685d2466ee27c01bf286406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c84c4a85e9f31e35bc48c15d9873a03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c17f1f4912527319e32f60e7523c65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7a1df960feef63dec4790d63f52279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b8a88a16125366536cb4ad658e0cf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595e7e1d74355ac82dcfc16b3e86cf78.png)
您最近一年使用:0次
2024-04-12更新
|
1967次组卷
|
7卷引用:湖南省湘楚名校2023-2024学年高二下学期5月月考数学试题
湖南省湘楚名校2023-2024学年高二下学期5月月考数学试题安徽省皖江名校联盟2024届高三下学期4月模拟数学试题(已下线)模块五 专题5 全真拔高模拟1(高一人教B版期中)(已下线)数学(新高考卷02,新题型结构)(已下线)模块五 专题5 全真拔高模拟1(苏教版期中研习高一)(已下线)压轴题02圆锥曲线压轴题17题型汇总-1黑龙江省实验中学2024届高三第四次模拟考试数学试题
名校
4 . 已知
.
(1)求
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/262dc0439d42ba5b65505cdf2430ca8e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb82ca04bfca19a9ec25710392ef3965.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02023ec5fc5a52e46292a1ce5d06acaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
您最近一年使用:0次
2024-04-10更新
|
1352次组卷
|
8卷引用:江苏省南京市金陵中学2023-2024学年高二下学期4月期中测试数学试题
江苏省南京市金陵中学2023-2024学年高二下学期4月期中测试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月期中数学试题四川省成都市成都外国语学校2023-2024学年高一下学期期中考试数学试题(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16-19江苏省镇江市实验高级中学2023-2024学年高一下学期5月月考数学试卷(已下线)专题02 三角恒等变换(2)-期末考点大串讲(苏教版(2019))四川省南充市西充中学校2023-2024学年高一下学期5月月考数学试题江西省上饶市横峰县横峰中学2023-2024学年高一下学期期中考试数学试卷
名校
解题方法
5 . 已知
,且
.
(1)求
的值;
(2)求
的值;
(3)求角
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8132c15d7581640d921e49e586fc3e0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8683ba2e150471174a6915494b3593.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14593b0e397cd43b5a961f1ac497a5b1.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
(3)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd927b4b5a7875528c1b54aa4bb8b2dd.png)
您最近一年使用:0次
2023-10-13更新
|
959次组卷
|
5卷引用:内蒙古呼伦贝尔市满洲里远方中学2023-2024学年高二上学期第三次考试(12月)数学试卷
内蒙古呼伦贝尔市满洲里远方中学2023-2024学年高二上学期第三次考试(12月)数学试卷河南省南阳市第九完全学校2023-2024学年高三上学期第二次调研考试数学试题湖南省长沙市湖南师大附中2023-2024学年高一上学期期末数学试题(已下线)考点9 两角和与差正弦、余弦公式的应用 --2024届高考数学考点总动员【练】江苏省苏州市汾湖高级中学2023-2024学年高一下学期3月月考数学试题
名校
6 . 已知锐角
满足
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc14778010a33f90902ff17b1ec0ac73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d0d9984bfc3f282475da6d90c847871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc4c63a548b91061528aa11058de75.png)
A.![]() | B.![]() ![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-09-07更新
|
1616次组卷
|
7卷引用:江西省抚州市黎川县第二中学2023-2024学年高二上学期开学考试数学试题
江西省抚州市黎川县第二中学2023-2024学年高二上学期开学考试数学试题辽宁省大连市第八中学2021-2022学年高一下学期期中考试数学试题(已下线)专题13 三角恒等变换压轴题-【常考压轴题】(已下线)第08讲 5.5.1两角和与差的正弦、余弦和正切公式(第1课时)(1)-【帮课堂】(已下线)5.5 三角恒等变换(精讲)-《一隅三反》系列(已下线)专题5-4 三角函数拆角求值与恒等变形(1) - 【巅峰课堂】题型归纳与培优练(已下线)专题08 两角和与差的三角函数-【寒假自学课】(苏教版2019)
7 . 已知角
为第二象限角,
,则
的值为__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a892dbcef7934d97016bb190d94e0bc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850a4f80ddad1ce81bfbd99719423e32.png)
您最近一年使用:0次
解题方法
8 . 在
中,角A,B,C的对边分别为a,b,c,
,
.
(1)求
和
的值;
(2)若
的面积为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa8d75a6638e08eedbff8662267da6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cb6362bc99fba4bcd7331db9aee922c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1311f32edf13f8caee5edb03f24a7ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6402f1010e94be78552ed4c45548b1b8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d920221533aedec91a4e7344ff01c8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
您最近一年使用:0次
9 . 在平面直角坐标系中,已知角
的顶点与原点
重合,始边与
轴的非负半轴重合,它的终边过点
.
(1)求
的值;
(2)若角
满足
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.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/24fee7d3d2e63ade129eae63b27c2bd3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f798a9af75a091a8be0b71f2038260.png)
(2)若角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0570ab6d8efdb591027341d1978a9ad5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eacde1c42151734fdc60f3001b590de.png)
您最近一年使用:0次
解题方法
10 . 已知
为第二象限角,
,
为第一象限角,
.
(1)求
的值.
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9bc052a11cf1a01445992672dde2836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a02f2f211664e50c7250355e83aae1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b04da7eac640b5b735da7fb5da8cfd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a71788c5babc2be5da0b5a2bd000601.png)
您最近一年使用:0次