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一、教学过程摘录1.回顾知识,问题引入师:同学们,在数学中我们把形如x’=ax+by,{y’=cx+dy的几何变换称为线性变换,并把线性变换的坐标变换公式转化为二阶矩阵与向量的乘积β=x’()y’=a b()c d()x y=Aα.那么,线性变换把一个向量变换成什么呢?学生1:由公式可以得出,还是向量.师:很好.二阶矩阵与向量的乘积还是向量.矩阵是研究平面图形的工具,而点与线是构成平面图形的基本元素.那么,二阶矩阵所对应的线性变换把点变换成什么呢?
First, the teaching process excerpt 1. Review of knowledge, the problem introduced division: students, in mathematics we form the geometric transformation as x ’= ax + by, {y’ = cx + dy is called linear transformation, and the linear transformation The coordinate transformation formula is transformed into the product of the second-order matrix and the vector β = x ’() y’ = ab () cd () xy = Aα Then, what does a linear transformation transform a vector into? Student 1: The vector of second-order matrices and vectors The matrix is a tool to study the plane graphics, while the points and lines are the basic elements that make up the plane graphics. Then the second-order matrix corresponding to the linear Transform the point into what?