Then, this paper detailed classification of important questions about the quadratic equation with one unknown and the solution to this is pided into 4 categories: (1) to examine the definition of quadratic equation with one unknown; (2) to examine the solution of quadratic equation with one unknown; (3) to examine the relationship between a two yuan equation root and coefficient; (4) to examine the application of quadratic equation with one unknown in real life。 These kinds of important questions are the key knowledge of junior high school students who need to master the two equation。

Mathematical thinking everywhere。 There are a lot of mathematical thoughts in the two equation of one dollar。 This paper gives a detailed introduction to the application of the whole thought in the two equation。 In the study and solve some mathematical problems, the overall idea can play a very good role。 Therefore, in the teaching process of the quadratic equation with one unknown, by this opportunity, increase the number of overall ideas, enhance the students understanding of this idea, a great help to the students' ability of future view and solve problems。

In the end, this paper makes a survey and Research on the understanding of the two equation of one dollar for junior high school students。 This paper according to the form of interviews, the quadratic equation with one unknown problem analysis and the actual situation of junior school students to learn the quadratic equation with one unknown of the questionnaire conducted in-depth understanding, and summarizes the reference for teachers。

Key words: the two equation of one dollar;  teaching research;  important questions;  the whole idea。

一、一元二次方程的概述 5

1。1“方程”的源-于,优W尔Y论L文.网wwW.youeRw.com 原文+QQ75201,8766历史发展 5

1。2一元二次方程的发展小记 5

1。3“一元二次方程”的概念 6

二、对一元二次方程的教学方面的研究 6

2。1关于一元二次方程国内的教材分析 6

2。1。1浙教版 6

2。1。2人教版 7

2。2关于一元二次方程的教学意见 7

2。3对十字相乘法在教学方面的一些见解 7

三、有关一元二次方程的重要题型和解决办法 8

3。1考查一元二次方程的定义 8

3。2考查一元二次方程的解法 9

3。2。1因式分解法 9

3。2。2直接开平方法 10

3。3。3配方法 11

3。3。4公式法 12

3。3考查一元二次方程根和系数的关系 14

3。4考查一元二次方程在实际生活中的应用 15

四、整体思想在一元二次方程中的应用 16

五、初中生对一元二次方程的的理解 17

5。1教师对一元二次方程重难点的分析 17

5。2学生对一元二次方程的学习情况 18

5。2。1学生对方程定义的理解 18

5。2。2学生对一元二次方程定义的理解