Study On Problem-solving Strategies Of High School Conic Curve

The conic section is an essential part of the examination content of the college entrance examination.it is also an important part of the high school mathematics knowledge system and also an important part of the mathematics knowledge system.the 2018 college entrance examination syllabus is still based on textbooks and focuses on the comprehensiveness,applicability and innovation of the examination knowledge.in addition,the examination of mathematics culture has been increased in recent years.this requires teachers to teach students the essence of knowledge,so that students can truly understand it,turn knowledge into ability,make students apply what they have learned,and integrate it.therefore,grasp the examination direction of the college entrance examination and summarize and master the types of the conic section.Based on the examination requirements of conical curves under the new and old curriculum standards and the examination questions of conical curves in the national college entrance examination from 2015 to 2017,this paper analyzes the characteristics of the examination questions of conical curves and the examination of knowledge points,and summarizes the proposition rules of conical curves.The introduction part mainly expounds the research background,research problems,research significance and methods.the article first describes the position and requirements of conic curve,mainly gives the position of conic curve in senior high school mathematics teaching materials and college entrance examination,and makes statistical analysis of the conic curve test questions in the college entrance examination in the past three years.Then it gives the requirements of the experimental edition and the new edition of the curriculum standard on the conic curve,and obtains the change of the position of the conic curve in the college entrance examination in recent years and the " change and no change" in the old and new curriculum standards.Then the basic knowledge is summarized.the basic knowledge of conical curve is summarized mainly from the aspects of definition,standard equation,simple geometric properties(eccentricity,focus,chord length,focus triangle,etc.),and common problem-solving conclusions and corresponding examples are given.then the college entrance examination questions are studied.the standard equation problems,nature problems,moving point trajectory problems,fixed value and fixed point problems,as well as the most value and existence problems of conical curve are mainly studied from the question types of the mathematical college entrance examination questions for all over the country from 2015 to 2017.finally,the article summarizes the research of this article and gives the work to be done in the future.