Study Status And Countermeasures Of Solving Triangle Problem In Senior High School Students

Solving triangle problem is one of the emphases and difficulties in mathematics teaching in high school.It involves theorem of sine and cosine theorem,formula of triangle area as well as the knowledge of trigonometric functions and so on,also contains the transformation and reduction,as well as the combination of number form,function and equation,mathematical thinking methods such as classification discussion,at the same time also can cultivate students the problem of triangle arithmetic solving ability,data processing ability,and improve students' consciousness and innovation consciousness,the teaching of the triangle but also can cultivate students' mathematics,data analysis,and the core of mathematics abstract accomplishment,solution of triangle is the foundation of the follow-up study plane vector,solid geometry knowledge,therefore the author thinks that solve the triangle problem of high school students to learn the status quo,It is imperative to put forward some countermeasures to optimize the triangle solution teaching in senior high school.The author has read a large number of literatures related to solving triangle problems,and combined with the results of students' questionnaires,test papers and interviews with teachers and students,it is found that the following problems occur in high school students' learning of solving triangle problems :(1)problems in students' understanding and application of the sine theorem;(2)students have problems in understanding and application of the law of cosines;(3)students have problems in the comprehensive application of solving triangles;(4)problems arise in students' practical application of solving triangles through examples;(5)problems in different grades are different;Based on the author's attribution analysis of the problems,combining with the results of questionnaires,test papers and interviews with teachers and students,the author proposes the following countermeasures:(1)novel introduction;(2)guide students to derive the sine and cosine theorems independently;(3)consolidate students' knowledge of trigonometric identity transformation,trigonometric functions,vectors,mean inequality,etc.;(4)to strengthen students' computing ability;(5)to improve students' reading comprehension ability and practical problem-solving ability;(6)topromote students' thoughts of classified discussion;(7)strengthen the training of students' overall substitution method;(8)attach importance to the training of students solving triangle problems;(9)pay attention to the cultivation of students' good study habits;(10)different grades adopt different teaching methods.It is hoped that these countermeasures can provide some useful references for the future teaching of solving triangles.