基于案例分析的初中数学几何基本图形教学探索

Exploration on Teaching of Junior Middle School Mathematics Geometry Basic Graphics Based on Case Study

在几何教学中,将同种类型的问题进行合理归纳、梳理,进而形成一个基本的图形,对提高课堂效率和学生的数学解题能力有很重要的作用。本文基于平时的教学实践对几何图形的抽取过程进行了提炼和总结,力求对学生认识基本图形、运用基本图形、探究基本图形有一定的帮助。文章主要从平时学生接触比较多的两个基本图形:角平分线与等腰三角形与旋转全等的两个基本图形出发,对解题过程中的思路突破和方法运用进行梳理和归纳。

For geometry-teaching, forming a basic graph by reasonably summarizing and analyzing the same type of questions will remarkably boost lesson efficiency and improve the students＇ ability in problem solving. This article is intended to extract and summarize the process of forming such basic graphs based on the teaching practice in order to assist the students in recognizing, using and probing basic graphs. This article mainly proceeds from angle bisector and isosceles triangle, which are two basic graphs that are common to students, as well as two basic pictures of congruent from rotation, to analyze and summmarize how to enlighten creative thinking and to use methods in the process of problem solving.