Analysis And Teaching Research Of Congruent Triangle Questions In Junior Middle School

Plane geometry is an important part of junior high school mathematics,Congruent triangles serve as the basis for plane geometric figures.The meaning is naturally self-evident.As we all know,congruent triangles have many different types.For students,It is difficulty to learn.To guide students to solve such problems,This research focuses on two questions:1.The choice,variants and classification analysis of congruent triangle problems.2.The study of teaching optimization strategies using congruent triangle exercises as an example.This research uses the literature research method,interview survey method,and classroom observation method.Through reading the literature and interviewing the teacher,four criteria for good questions were identified:(1)including basic question types;(2)basic methods for solving problems;(3)The solution of exercises is not unique;(4)It can be generalized and generalized.In addition,a method of formulating a type of variant questions is given,and the analysis of the congruent triangle part of the real questions in the middle ten years of the middle school exam in Anhui Province is summarized.Question types,four ideas,six types of methods,and through the analysis of congruent triangle exercise lesson case analysis,the optimization strategy of the exercise lesson is proposed:(1)choose the basic questions,focus on the basic methods,and(2)build a mind map to help Clarify ideas(3)Prepare variant exercises,strengthen knowledge consolidation(4)Information technology,assist teaching(5)Exquisite exercises,deliberate training(6)Autonomous learning,cooperative inquiry(7)Reflective integration,and improve schemas...