Research On Dynamic Geometry In Mathematics Of Senior School Entrance Examination

Geometric knowledge occupies an important position in junior high school mathematics,among which dynamic geometric problems are favored by proposition teachers because of their strong comprehensiveness,extensive knowledge,flexible and diverse types of questions.They are often presented as the pivotal questions in the annual middle school entrance examination.This paper aims to discuss the dynamic geometric problems in the middle school entrance examination mathematics from both theoretical and current aspects,so as to put forward effective countermeasures.In this paper,the methods of literature analysis,comparative study and questionnaire survey are used to study the dynamic geometry problem by combining theory with practice.Firstly,the introduction mainly introduces the status,research content,significance,ideas and methods of dynamic geometry in junior high school geometry and middle school entrance examination,then defines the related concepts,and then discusses the current research situation of dynamic geometry at home and abroad.Secondly,the types and characteristics of dynamic geometry problems in Henan middle school entrance examination in recent ten years are analyzed.Referring to the existing research results and combining with the test questions,this paper divides the dynamic geometry problems into three categories:moving point,moving line and moving form.Then,the effective data are sorted out from the five dimensions of checking knowledge points,score proportion,type of test questions,mathematical thinking method and test carrier.The knowledge points examined by the questions run through the whole junior middle school,and the types of the questions are various.The mathematical thinking and methods of the questions are mostly composed of the combination of numbers and figures,analysis and synthesis,classification and discussion.The main carriers of the questions are quadrilateral,triangle and quadratic function.Then,the investigation of the current situation of solving dynamic geometry problems is carried out.The self-compiled test papers are used to investigate 152 students in Zhengzhou and Xinyang middle schools.It is found that students are unable to understand the meaning of the problem and have no sense of classification,resulting in incomplete solutions,no systematic mathematical thinking and methods,andweak computational ability.Finally,based on the classification,characteristics and current situation of dynamic geometry problems,the effective strategies to cultivate students’ ability to solve dynamic geometry problems are put forward.As we all know,learning process is a special cognitive process and a bilateral cognitive process between teachers and students.In the aspect of students’ problem-solving,the paper puts forward the strategy of solving problems by keeping unchanged,changing special and transforming the governing movement;in the aspect of teachers’ teaching,it puts forward that we should strengthen the explanation of basic concepts,nature and theorem,pay attention to the cultivation of students’ reading and calculating abilities,strengthen the infiltration of mathematical thought and method in the teaching process,and use various teaching software to help students understand with the times.Questions,four teaching suggestions to improve interest in problem solving.