方程思想在初中几何中的运用

The Application of Equation Thought in Junior Middle School Geometry

初中阶段所涉及的各种知识点中都有方程思想的影子,方程思想从本质上说是一种同代数相关的思想,因此部分几何问题似乎同方程思想没有联系,不过在解决这类问题的过程中人们往往发现没有方程思想的参与是行不通的。所以,教师应培养学生掌握问题中“隐形”条件并借助此类条件对数学问题加以解决的能力,也就是要培养学生将方程思想运用于各类数学问题解决的能力。本文就方程思想在初中几何中的运用做了一点探索。

The various knowledge points involved in the junior high school stage have the shadow of equation thinking.Equation thinking is essentially a kind of algebra-related thinking.Therefore,some geometric problems seem to have no connection with equation thinking,but they are solving such problems.In the process,people often find that the participation without equation thought is not feasible.Therefore,teachers should cultivate students'ability to master the"invisible"conditions in problems and use such conditions to solve mathematical problems,that is,to cultivate students'ability to apply equation thinking to solving various mathematical problems.This article does a little exploration on the application of equation thinking in junior high school geometry.