摘 要全等是两个三角形问题中最主要、最基础的方法。此外在初中几何中，全等三角形的研究学习是几何入门关键的一步。三角形全等的判定和性质，学习的好坏直接影响着今后的学习。本论文首先简单的介绍了全等三角形的判定与性质和全等的基本模型，接着主要说明全等三角形的应用与全等三角形常见的辅助线添加，最后提出全等三角形对学生学习和老师教学建议。关键词：全等三角形；判定；性质；应用；转化思想；初中数学AbstractCongruence is the most important and fundamental method in the two triangle problems. In addition, in junior high geometry, the study of congruent triangles is a key step in the introduction of geometry. The judgment and nature of triangle congruence and the quality of learning directly affect the future learning. This paper first briefly introduces the judgment and nature of congruent triangle and the basic model of congruent triangle. Then it mainly explains the application of congruent triangle and the common auxiliary line addition of congruent triangle. Finally, it puts forward some Suggestions on congruent triangle for students' learning and teachers' teaching.Keywords: congruent triangle ； judgment ； property ； transformation thought,；application,；junior middle school mathematics目录1 绪论.............................................11.1 研究意义........................................................11.2 相关研究........................................................11.3 研究现象.......................................................22 全等三角形的内容....................................32.1 全等三角形的判定与性质..........................................32.2 全等三角形的基本模型............................................33 全等三角形基本模型的应用..............................63.1 平移全等模型....................................................63.2 旋转全等模型....................................................63.3 对称全等模型..............
