Research On Inquiry Teaching Of Tri Angle Auxiliary Line

In the nine-year compulsory education stage,with the reform of the new curriculum and the implementation of the new curriculum standard,the educational concept of student-oriented and teacher-assisted is advocated in the teaching process.In teaching,we pay more attention to inquiry and change the previous practice of attaching importance to results and ignoring the process.In the process of learning new knowledge,students are encouraged to acquire knowledge through inquiry-based learning and practical operations.In the teaching,the previous emphasis on knowledge transfer changed to focus on the cultivation of students' ability,from focusing on results to paying attention to the process.The preparation of textbooks has also changed a lot,focusing on the exploration of knowledge,adding many examples related to life practice,and focusing on the reality of life.Triangle-related geometric problems often appear in the middle test questions,but in fact students are not very good at doing this type of problem,students often have poor ability to respond,and the rate of pairing is low.The reason is that in the daily mathematics examples and exercises,the teacher only talks about the topic and does not guide the students to explore the changes of the topic.In response to these problems,the paper is divided into six chapters to study the triangle auxiliary line inquiry teaching:The first chapter,the introduction part,analyzes the background and significance of choosing this thesis,and combs the literature on the teaching of geometry teaching and inquiry teaching,so as to determine the research method of this paper and put forward the research content and framework of this paper.The content of the difficult and difficult points of the research process of the thesis is also summarized.The second chapter summarizes and combs the concept and characteristics of inquiry teaching,as well as the rules of adding auxiliary lines to basic graphics and the importance of middle school students using auxiliary lines to solve problems.The third chapter summarizes the methods of the triangle auxiliary line,and explains how to use the auxiliary line to help analyze and solve the problem.The fourth chapter investigates and analyzes the status quo of triangle auxiliary line teaching through questionnaire survey,reflects the problems existing in the teaching of triangle auxiliary line,and combines the advantages of inquiry teaching to propose corresponding problem-solving teaching strategies and Mode,the application of inquiry teaching in the teaching design of specific content.The fifth chapter mainly discusses the teaching design of the application of the triangle auxiliary line.Firstly,it puts forward the strategy of the inquiry teaching applied to the triangle auxiliary line teaching,and proposes the triangular auxiliary line inquiry teaching mode.By selecting the 2019 Wuhan middle school test questions as the The comprehensive problem type is used for demonstration teaching,and the related relationship with the teaching materials is excavated to provide objective basis for inquiry teaching design,which will increase the reference,practicality and operability of inquiry teaching in the teaching of triangle auxiliary line.In the sixth chapter,some suggestions for the teaching of triangle auxiliary lines are put forward for the teaching status quo,and the research shortcomings of this paper are summarized.