Application Of Area Method In Junior High School Mathematics

Geometry is an important part of mathematics learning and a key factor to develop students' logical reasoning ability.In the middle school mathematics education class changes,the content of geometry is extended from "space and graphics" to "graphics and geometry",this change requires students to have a broader view and a deeper understanding of the contents of geometry.Among them,area method is an ancient method to solve geometric problems,it gives full play to the role of geometric intuition,and permeates and connects in different levels of mathematical knowledge.The area method is applied to the teaching of junior middle school mathematics,though students will be able to better understand and master the knowledge of geometry,a more profound understanding of the internal relations between mathematics knowledge.This paper starts from the development history of area,firstly,the principle of the in-and-out phase complement,the Pythagorean theorem,the qin jiushao formula and the area method are discussed.In order to highlight the application of area method in junior middle school mathematics,it sums up a number of formulas for triangular area,and gives a detailed certificate.And then,compare all kinds of mathematics knowledge in middle school mathematics system,the geometric interpretation of the area method is given.Finally,the ingenious application of area method is shown,it has been applied to the proof of principle,there are also practical applications of different types of calculations and proofs,and make the strategy of the application method of analysis.The practicality of area method is worth popularizing in junior middle school teaching.Through the research of this paper,students can better understand the origin and application of area method,and it is helpful for teachers to popularize the area method in junior middle school.This paper fully reflects the geometrical intuitions of area and area method,from this,we can deeply understand the mathematical thinking method of combining Numbers and forms shown by the area method.In this way,students can improve their logical reasoning ability,stimulate the interest and motivation of mathematics learning,improve students' comprehensive problem-solving ability.At the same time,it helps students to build a cognitive system of mathematical knowledge,learn plane geometry better,cultivate their mathematical learning quality and good mathematical literacy,and develop their innovative and exploratory thinking ability.