The Application Of The Mathematical Connotation Of Quadratic Equation In The Examination Of High School Physics Kinematics

With the rapid development of society,education as a core driving force for social development is also undergoing earth-shaking changes.The exam is the most intuitive way to evaluate teaching results,With the development of education,the form of examinations is constantly being updated,and its knowledge,science and novelty are gradually highlighted.As a means of teaching evaluation,the effectiveness of the examination is particularly important,therefore,there is a need for better innovative questions to further enhance the effectiveness of the exam.The college entrance examination question is a typical example of the test questions,and its research value is self-evident.Starting from familiarity,analysis,and even create the college entrance examination questions,physics teachers can better grasp the goals and difficulties of teaching.Starting from the practice and reviewing the college entrance examination questions,students can better understand their weaknesses and exercise the ability of comprehensive analysis,teachers and students work together to make progress.This article is based on the requirement of "Applying Mathematics to Deal with Physical Problems" in the Examination Syllabus,in the process of analyzing the2008-2018 national college entrance examination physics test,it was found that the kinematics and dynamics part is the key point and the difficulty.The mathematical connotation of applying the quadratic equation is a commonly used method in solving various methods of kinematics,this mathematical method is used more frequently in solving kinematic problems,and also has a certain impact on the process of solving the problem and the result of the solution,therefore,it is necessary to study the mathematical ideas of this kind of topic and its application.The research content of this paper mainly includes the following five parts:First,research.The study first compares and analyzes the two versions of "The Syllabus" and "The Examination Outline" in recent years,in order to find out the course and the trend of the college entrance examination,understand the requirements of the college entrance examination for teachers and students,and clear the test sites of thecollege entrance examination kinematics,the test sites and common questions are enumerated and compared to provide a theoretical basis for creating test questions.Second,find the law.Through the analysis and screening of kinematics calculation questions in the national colleges and universities in 2008-2018,It is found that one of the two calculation questions that must be tested each year must contain kinematics-related content.At the same time,in the kinematics test,due to the similarity of mathematical expressions,the mathematical method of the quadratic equation is widely used in this kind of topic.For the mathematical connotation of the quadratic equation,it is summarized as the following four points.1.Several methods for solving equations and Veda's theorem correspond to the idea of transformation,2.The problem of the choice of the equation root applies the idea of classification discussion,3.The most value problem of the equation corresponding function uses the function idea,4.The application of the equation corresponding to the function image corresponds to the idea of combining numbers and shapes.According to the above ideas,the high school physics kinematics,the quasi-test point of the quadratic equation and the frequent test sites are contacted to find the correlation degree,which provides a reference for the test objectives of the test questions.Third,classification.Through the study of this part of the test questions,the2008-2018 national colleges and universities college entrance examination kinematics calculation questions are initially divided into four categories.1.Solving equation problems in kinematics questions,2.The problem of the choice of the root of the equation in the kinematics test,3.The most valuable problem in kinematics questions,4.Image problems in kinematics questions.Taking typical examples,we find that the mathematical connotations of the quadratic equations in the high school physics kinematics test applications are mainly the following: 1.Apply the transformation idea to solve the secondary item physical quantity,2.Apply the classification discussion to think about the physical quantity,3.Apply the function idea to find the maximum value of the physical quantity,4.Apply the combination of number and shape to solve the physical quantity through the image.At the same time,analyze the ideas of the propositions of each type of test questions,and provide basic ideas for the test questions.Fourth,innovative ideas.Through the analysis of a large number of test questions,combined with a large number of references and relevant college entrance examination documents,to understand the requirements of the college entrance examination onkinematics knowledge points and common types of questions,preliminary summary of the characteristics of the test questions and the rules of creating test questions,and then summarize the ideas and ideas of the proposition The steps include the following 4points:1.Determine the content and objectives of the test questions,and find the relevant points of the creative test questions,that is,the relevant kinematic models and common test points of the quadratic equation to determine the background of the test questions.2.Combine the physical model and related mathematical connotations,and give the model the actual meaning,and bring into the relevant physical situation.3.Create test questions and answer questions.4.Check the questions and analyze the reliability of the questions.Fifth,create test questions.Finally,based on the above analysis and summary,three examples of test questions were created.The physical test methods included in the three questions are:1.The original kinematic test questions based on the actual meaning of the equation root.It includes physical test points such as gravitation,angular momentum conservation and mechanical energy conservation,as well as mathematical methods for discriminant equations,equation roots,inequalities and so on.2.Apply the direct opening method to solve the original kinematics questions of the equation.It includes physical examinations such as vertical circular motion,momentum theorem,and flat-throw motion,as well as mathematical methods such as direct opening methods for solving equations and geometric relations.3.Apply original kinematic questions about the relationship between root and coefficient.It includes physical kinematics such as the flat-throwing motion and the basic law of uniform linear motion,as well as the variants of The Vieta Theorem,the analytic geometry of the relationship between the parabola and the linear position,the choice of the root of the equation,and the inequalities.The relationship between the application root and the coefficient is a technique for solving problems in the process of solving the equation,and is also a mathematical examination method that is not common in the kinematics test.In this part of the original proposition,this study combines the relevant physical scenarios.The knowledge of analytic geometry has created related types of computational questions,which is the innovation of this paper.By analyzing the application of the mathematical connotation of the quadraticequation in the high school physics kinematics test,this paper constructs the kinematics physical model under the idea of mathematical connotation,which provides a reference for test evaluation,teaching guidance and the improvement of teachers' ability.Provided certain ideas and methods for the original type of questions.