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全国高考统一命题视角下的“函数与导数”复习策略研究

【作者】 吴宝树

【导师】 陈清华;

【作者基本信息】 福建师范大学, 学科教学(数学)(专业学位), 2018, 硕士

【摘要】 函数与导数是高中数学的重要内容,也是高考数学的考查重点和难点.函数与函数思想的考核不管在全国卷还是在地方卷(如福建)卷中,所占的比重无疑都是最大的,且大多试卷都会将函数与导数试题作为试卷的压轴题.福建省高考在自主命题十二年后,从2016年起恢复使用全国统一命题试卷--课标全国卷乙卷.在广大一线教师早已习惯福建卷,而福建卷与课标全国卷又有较大差异的特定背景下,如何比对这两份试卷在高考命题要求和考查形式上的不同,直接关系到高考数学总复习的效率和结果.基于此,本文拟从比较出发,从差异入手,从课标全国卷的考查特点入手,探讨函数与导数的八大复习策略:转变教育观念,改进教学方式;确实回归课本,串联基础知识;重视思想方法,提升数学能力;经历探究过程,体验成功乐趣;大胆假设猜想,小心推理论证;洞悉试题题源,挖掘试题背景;应用教学软件,辅助教学探究;把握专题复习,提升复习效率.笔者运用以上策略,有效地破解2016年课标全国卷乙卷中的函数与导数部分的试题,对照印证了以上复习策略的有效性.

【Abstract】 Function and derivatives are important in high school mathematic learning.What is tested in Function and its methld of thinking is the major key point and difficult point in the national college entrance exam.Function and derivatives account for a large proportion either in the New Curriculum National Test or the provincial independent proposition tests(Fujian,for instance).After twelve years of Independent Proposition in the college entrance exams,Fujian restarted adopting the national united setting test paper from 2016--the New Curriculum National Test II.However,most of the teachers in senior grade three are quite used to the style and modality of Fujian proposition tests,from which the New Curriculum Test is much more different.Therefore,before starting the revision,we need to seriously compare the differences of the requirements in both the Test Syllabus and the Test Directions.Based on such comparisons,this research,starting from the differences and the characteristics of the national test paper,put forward eight strategies in the revision of function and derivatives.Transform education concepts and improve the teaching method;return to the textbook and combine the fundamental knowledge;focus on the method of thinking and improve the ability of mathematic;go through the exploration process and experience the joy of success;bring up hypothesis boldly while prove it conscientiously and carefully;see through the origin of the test questions and study its background;apply the teaching softwares and assist the teaching exploration;grasp the specially-targeted revision and improve the reviewing efficiency.With the above-mentioned strategies,the author of this thesis successfully figured out all the questions related to function and derivative in the test paper of the New Curriculum National Test 2016,thereby prove the efficiency of these revision strategies.

  • 【网络出版投稿人】 福建师范大学
  • 【分类号】G633.6
  • 【被引频次】6
  • 【下载频次】350
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