导　　师： 朱华伟

学科专业： 040102

授予学位： 硕士

作　　者： ;

机构地区： 广州大学

摘　　要： 本文首先通过文献法和历史研究法研究竞赛数学的起源和现状，探讨了数学竞赛的命题原则和命题方法．其中命题原则主要包括科学性原则、新颖性原则、选拔性原则、能力性原则等原则；研究了高考数学及其命题原则和方法．在对比竞赛数学和高考数学命题原则和命题方法的基础上，研究近十几年的高考数学试题，从竞赛数学的内容和方法上研究高考数学命题中的竞赛数学背景．寻找竞赛数学中的内容和方法与高考数学考查内容的契合点，根据自己的研究编制了几道题目． 最后指出本文的不足和本研究中存在的问题． This thesis studies the origin and current situation of the contest mathematics andexplores the proposition principles and methods of the Mathematical Olympiad throughliterature and historical research．The proposition principles include the principle of science，novelty principle,selection principle,capability principle and so on．This thesis studies theCollege Entrance Examination Mathematics and its propositional principles andmethods． This thesis researched the College Entrance Examination Mathematics which hasbeen present over the past decade on the basis of contrasting Competition Mathematics andthe proposition principles and methods of College Entrance Examination Mathematics andstudy Competition Mathematics from the perspective of contents and methods.This thesiswill work out related subjects according to the studies and find the correspondences ofcontent and method of competition Mathematics and the contents of College EntranceExamination Mathematics． Finally,some currently-existing shortage and research problems are pointed out in thisthesis．

关 键 词： 数学竞赛 竞赛数学 高考数学 命题原则 命题方法

分 类 号： [G634.6]

领　　域： [文化科学]