解题方法
1 . 已知
,
是方程
的两个根,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c8675082698346164ee3869e580a12.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f35152720e43c6403d43bef47c0377d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e9f949abf032483c4088e194bac94d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c8675082698346164ee3869e580a12.png)
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解题方法
2 . 已知
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/161add50da85f3a4607383f5681230ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d732b70974840c17796e16a891f1c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a83869f3d2c591bc4abfa269ed6559c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024高三下·天津·专题练习
名校
解题方法
3 . 在
中,角
、
、
的对边分别为
、
、
,且
,
,
.
(1)求
的面积;
(2)求边
的值和
的值;
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/c5db41a1f31d6baee7c69990811edb9f.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/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23725094c363fd158166a8698971694c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e39f22a6212855a32f2a59963e4e81.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)求边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b01adc561735ff5be9bb97266918f2.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c3a427d602000eb60089a6c4b28bcdb.png)
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2024-04-19更新
|
615次组卷
|
4卷引用:信息必刷卷05(天津专用)
名校
解题方法
4 . 在
中,已知
分别为角
的对边.若
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd848a5e4577c3c660d9bf6a25b49f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc22316e4032073674645f78d15cd7ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f774cd650f14c8f6e4fe0c6a432768bb.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
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2024-04-19更新
|
731次组卷
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3卷引用:【讲】专题6 正弦定理、余弦定理综合问题
(已下线)【讲】专题6 正弦定理、余弦定理综合问题江苏省南京市南京师范大学附属中学2023-2024学年高二下学期期中考试数学试卷黑龙江省大庆市实验中学2023-2024学年高一下学期6月份阶段性质量检测数学试卷
名校
解题方法
5 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ffbe3a6b0e0c02cab6cc7b55fd77248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f44e6ed099b7723bd28d5039365cc44c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-19更新
|
2032次组卷
|
4卷引用:【讲】专题1 三角恒等变换问题(压轴小题)
(已下线)【讲】专题1 三角恒等变换问题(压轴小题)浙江省天域全国名校协作体2023-2024学年高三二模数学试题山东省青岛第二中学2024届高三下学期二模考试数学试题(已下线)4.2 两角和与差的三角函数公式-同步精品课堂(北师大版2019必修第二册)
名校
解题方法
6 . 已知
为锐角,且
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71866ae86b9166e55828a3e2dad67a46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f35152720e43c6403d43bef47c0377d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-13更新
|
1153次组卷
|
3卷引用:【一题多解】同角关系 不朽传奇
7 . 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)
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2024-04-12更新
|
1955次组卷
|
7卷引用:数学(新高考卷02,新题型结构)
(已下线)数学(新高考卷02,新题型结构)(已下线)压轴题02圆锥曲线压轴题17题型汇总-1安徽省皖江名校联盟2024届高三下学期4月模拟数学试题黑龙江省实验中学2024届高三第四次模拟考试数学试题(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)模块五 专题5 全真拔高模拟1(苏教版期中研习高一)湖南省湘楚名校2023-2024学年高二下学期5月月考数学试题
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8 . “弦图”是我国古代三国时期的数学家赵爽为《周髀算经》作注时为证明勾股定理所绘制,此图曾作为2002年在北京召开的第24届国际数学家大会的会标如图,在正方形
中,有4个全等的直角三角形,若图中
的两锐角分别为
,且小正方形与大正方形的面积之比为
,则
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20594870f716ac46c23b8bc7df61a053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/955bed8cd82419dbb2c62550ee494677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d521f8d021b20757d7a68107fcef1d.png)
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名校
解题方法
9 . 在
中,角
所对边分别为
,且
,若
,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c072b39133dc7204c352cf75fbe939.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0553bbe79d5d21af2d87fcf91f7b40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c89b4436279490e4b2031413f5b55a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6369cd1db768436809404b1f3c4132c0.png)
A.1 | B.2 | C.4 | D.2或4 |
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2024-04-06更新
|
1490次组卷
|
3卷引用:湖南省长沙市四县区2024届高三下学期3月调研考试数学试题变式题6-10
(已下线)湖南省长沙市四县区2024届高三下学期3月调研考试数学试题变式题6-10湖南省新高考教学教研联盟2024届高三下学期第二次联考数学试题湖南省衡阳市衡阳县第一中学2024届高三下学期4月月考数学试题
名校
10 . 在△
中,角A,B,C所对的边分别为a,b,c,若
,△
的面积为
.
(1)求
;
(2)若
,求
;
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faef87744ed2a4d51009b0d52c360cbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821309f088a175c00dc0f4828334503d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03005d17bf564371ad29fea41f5c650.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2526197224eea5878e62d46952cd669.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b919f0869717376807ca5481f17412.png)
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