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对称问题是平面解析几何的重要内容,也是高考考查的重点.对称主要包括中心对称和轴对称,要想熟练掌握解析几何中的对称问题,需要学生掌握正确的解题方法和技巧,需要具备数形结合、转化等数学思想,更需要学生具有举一反三和数学反思的能力.本文结合具体的教学案例,对高中数学解析几何中的对称问题进行分类探讨,力求做到提高学生数学解题能力和学习效率的目的.一、中心对称问题中心对称是平面解析几何中的基本对称,它主要
Symmetry is an important part of plane analytic geometry, but also the focus of the college entrance examination. Symmetry includes center symmetry and axisymmetry, in order to master the symmetry problem in analytic geometry, students need to master the correct problem-solving methods and techniques, Shape combination, transformation and other mathematical ideas, but also need students with the ability to learn from one to the other and mathematics reflection.This article combined with specific teaching cases, high school mathematical analysis of symmetry in the classification of the problem, and strive to improve students’ ability to solve mathematical problems and learning Efficiency Objectives 1. Center Symmetry Problem Center Symmetry is the basic symmetry in the plane analytic geometry and it is mainly