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一、教学设计1.1教学内容分析直线的斜率既是初高中的衔接内容,这一节的内容在后续的学习中有很多的应用.如直线的方程,直线的方向向量,直线的参数方程.换一个角度看待同一数学内容的角度看,直线的斜率是最简单的变化之一,即直线在某个区间上的平均变化率,与直线上任意一点的瞬时变化率(导数)是相同的.所以在研究曲线的瞬时变化率时,直线的斜率起着枢纽的作用.本课作为解析几何的起始课,担负着一门学科的入门教育
I. Teaching Design 1.1 Analysis of Teaching Content The slope of a straight line is not only the connection of high school and junior high school, but also the content of this section has many applications in subsequent learning, such as the equation of the straight line, the direction vector of the straight line and the equation of the parameter of the straight line. From the angle of view of the same mathematical content, the slope of a straight line is one of the simplest changes, that is, the average rate of change of a straight line in a certain interval is the same as the instantaneous rate of change (derivative) at any point in a straight line When studying the instantaneous rate of change of the curve, the slope of the line plays a pivotal role.This lesson, as the initial lesson of analytic geometry, is charged with the introductory education of a discipline