数学奥林匹克在中国
数学奥林匹克在中国封面图

数学奥林匹克在中国

刘培杰, 主编

出版社:哈尔滨工业大学出版社

年代:2014

定价:98.0

书籍简介:

本书介绍了从1986年至今的国际数学奥林匹克竞赛在中国的发展情况,并着重介绍了从1986年以来历届国际数学奥林匹克竞赛的试题及解答技巧,最后介绍了历届中国数学奥林匹克竞赛试题。本书适合准备参加高中数学奥林匹克竞赛的学生及辅导教师和广大数学爱好者参考阅读。

书籍目录:

Chapter 1 Mathematical Olympiad in China

1.1 International Mathematical Olympiad (IMO) and China Mathematical Contest-Written before the 31st IMO

1.1.1 A Brief Introduction to IMO

1.1.2 A Historic Review of China Mathematical Contest

1.1.3 Activities of China in the IMO and the 31st IMO

Chapter 2 Olympiad's Mathematics

2.1 The Application of Projective Geometry Methods to Problem Proving in Geometry

2.1.1 A Few Concepts in Projective Geometry

2.1.2 Some Examples

2.1 3 Exercises

2.2 A Conjecture Concerning Six Points in a Square

2.3 Modulo-Period Sequence of Numbers

2.3.1 Basic Concepts

2.3.2 Pure Modulo-period Sequence

2.3.3 The Periodicity of Sum Sequence

2.3.4 The Relation between the Period and the Initial Terms

2.4 Iteration of Fractional Linear Function and Consturction of a Class of Function Equation

2.5 Remarks Initiating from a Putnam Mathematics Competition Problem

2.5.1 Introductory Remarks

2.5.2 The Proof of the Problem

2.5.3 Reinforcing the Promble

2.5.4 Application

2.5.5 Mutually Supplementary Sequences and Reversible Sequences

2.6 The Ways of Finding the Best Choise Point

2.6. 1 The Congruent Transformation of Figures

2.6.2 Similarity Transformation of Figures

2.6.3 Partial Adjusting Method

2.6.4 The Contour Line Method

2.6.5 Algebraic Method

2.6.6 Trigonometrical Method

2.6.7 Analytic Method

2.6.8 Solution by Fermat Point Theorem

2.6.9 The Area Method

2.6.10 Physical Method

2.7 The Formulas and Inequalities for the Volumes of n-Simplex

2.8 The Polynomial of Inverse Root and Its Transformation

2.8.1 The Extension of an IMO Problem

2.8.2 The Inverse Root Polynomial

2.8.3 Trigonometric Formula of Recurrence Type

2.8.4 Inverse Root Polynomial Transformation

Chapter 3 Suggestions and Answers of Problems

3.1 Remarks on Proposing Problems for Mathematics Competition

3.2 A Problem ofIMO and a Useful Polynomial

3.2.1 Introduction

3.2.2 The Proof of the Problem

3.2.3 Some Properties of F(x)

3.2.4 Fm(x) and Some IMO Problems

3.2.5 An Existence Problem

3.3 Preliminary Approach to Methods of Proposing Mathematics Competition Problems

……

Chapter 4 Comment on the Exam Paper of Mathematical Olympiad Winter Camp in China

Chapter 5 Cluna Mathematical Olympiad from the First to the Lastest

内容摘要:

《数学奥林匹克在中国》介绍了从1986年至2013年的国际数学奥林匹克竞赛在中国的发展情况,并着重介绍了从1986年以来历届国际数学奥林匹克竞赛的试题及解答技巧,最后介绍了历届中国数学奥林匹克竞赛试题。
  《数学奥林匹克在中国》适合准备参加高中数学奥林匹克竞赛的学生及辅导教师和广大数学爱好者参考阅读。

书籍规格:

书籍详细信息
书名数学奥林匹克在中国站内查询相似图书
9787560346854
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出版地哈尔滨出版单位哈尔滨工业大学出版社
版次1版印次1
定价(元)98.0语种简体中文
尺寸24 × 17装帧平装
页数印数

书籍信息归属:

数学奥林匹克在中国是哈尔滨工业大学出版社于2014.6出版的中图分类号为 O1 的主题关于 数学-竞赛-介绍-中国 的书籍。