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Research On Trigonometric Function And Solution Of Trigonometry In Senior High School Mathematics

Posted on:2021-04-02Degree:MasterType:Thesis
Country:ChinaCandidate:C QianFull Text:PDF
GTID:2427330611463477Subject:Subject teaching
Abstract/Summary:PDF Full Text Request
Trigonometric function is a kind of most typical periodic function,and also a kind of typical basic elementary function.As the main content of high school mathematics,the college entrance examination mainly examines the concept of trigonometric function of any angle,the image and property of sine function,cosine function and tangent function,highlights the image and property of function of form such as y(28)Asin(?x(10)?),the trigonometric function formula of sum and difference of two angles and simple trigonometric identity transformation.The solution of triangle is a further study on the edge and angle of triangle.In the college entrance examination,we focus on the sine theorem and cosine theorem and their applications.Of course,in recent years,the college entrance examination questions often combine the trigonometric function with the solution of triangles,so this paper will also study them together.This topic has a certain academic value,especially for the students' preparation and teachers' teaching of trigonometric functions and solutions.The research of this paper,through collecting the questions of mathematics college entrance examination in recent five years in each province,sums up and sorts out the questions of "trigonometric function and solution of triangle",answers themone by one,classifies them according to "choosing,filling in the blank and solving the questions".First,determine the score of each part of the questions,analyze the trend of college entrance examination,and determine the position and role of "trigonometric function and solution of triangle" in college entrance examination To determine the difficulty degree of each topic,which is divided into three levels: easy,medium and difficult,according to which to classify again;again,to determine the examination scope of each topic,as well as the integration with other knowledge,and the role in the comprehensive questions;finally,to propose the methods and review plans for such topics in the review of senior three.The main research methods are as follows: 1.Adopt statistical methods to collect "trigonometric functions and solutions to triangles" related questions;2.Classify the collected questions into three categories: selection,filling in blank and solving questions;3.Answer one by one,and then analyze,sort out and summarize the corresponding data,such as the score of the annual college entrance examination,the difficulty of the questions,and the scope of the questions Whether there is cross examination with other knowledge,and the role of comprehensive questions;4.Put forward solutions,make a plan for the resumption of senior three courses,and make corresponding exercise books for one round and two rounds of review.Therefore,according to the above research content to determine the direction of review,make a review plan of "trigonometric function and solution triangle" part of the content,summarize the common test questions,typical questions,and make a review book for the use of the senior three in general review.After graduation,I have been teaching in senior high school for two rounds.I have two graduation class experiences.I have some research on the college entrance examination.I hope that through this paper research,I can have a thorough understanding of the topic of "trigonometric function and solution of triangles",which is of practical guiding significance for improving the efficiency of the resumption of senior three and guiding the classroom teaching of senior one and senior two.
Keywords/Search Tags:trigonometric function, trigonometric solution, typical question type, review plan
PDF Full Text Request
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