Book information
Original price: RMB 26.00; Price of Zhonghua Book City: RMB 19.80.
Topic: Senior High School Mathematics Competition Training Course (Special Lecture)
Author:
Press: Zhejiang University Press
ISBN:97873080324 14
Page number: 362 pages
Version: Version 1
Binding: paperback
Format: 16
Date of publication: April 2003
Chinese:
Product identification: asinB00 1 1AI8K2
Introduction of Senior High School Mathematics Competition Training Course (Special Lecture)
The course of cultivating excellent students in high school mathematics competition is compiled according to the requirements of the "additional test" (the second test) of the national high school mathematics joint competition, which contains all the knowledge required by the additional test and is divided into several topics. A large number of typical examples are selected to explain in detail in the process of cultivating outstanding students in senior high school mathematics competitions, aiming at revealing the law of solving problems and improving students' ability to analyze and solve problems. Each chapter provides enough exercises for students' extracurricular training. These exercises are just simple tips, aiming at cultivating students' independent thinking ability and exploration spirit.
Brief introduction of the author
Catalogue High School Mathematics Competition Training Course (Special Lecture)
The first chapter is the basic knowledge of number theory
Integer and remainder of 1. 1
1.2 Maximum common factor and minimum common multiple
1.3 prime, fundamental theorem of arithmetic
1.4 Several number theory functions
The Concept and Properties of 1.5 Congruence
Chapter II Special Lecture on Number Theory in Mathematical Olympics
2. 1 divisibility problem
2.2 Determination of Integer, Prime Number and Complete Square Number
2.3 Some methods to solve indefinite equations
2.4 Some common starting methods about the number theory competition questions
Chapter III Sequence and Induction
3. 1 Preparatory knowledge
3.2 Examples of competition questions about series
Chapter IV Inequality and Maximum Value
4. 1 Preparatory knowledge
4.2 Using famous inequalities to solve problems
4.3 Using sum transformation to solve problems
4.4 Use recursive relations (including mathematical induction) to solve problems.
4.5 Use other methods to solve problems
Chapter V Polynomials
5. 1 Basic concepts
5.2 divisible polynomial
5.3 greatest common divisor
5.4 Factorization
5.5 the relationship between root and coefficient
5.6 Complex Numbers and Polynomials
5.7 Selected examples
5.8 integer coefficient polynomial
5.9 Difference of Polynomials
5. 10 Lagrange-valued polynomial
5. 1 1 multivariate polynomial
Chapter VI Function Equation and Thinking Method for Solving Competition Problems
6. Brief introduction of1function equation
6.2 Determine the functional equation of the periodic function
6.3 the problem of estimating the sum and bound of function values
6.4 continuous function equation
6.5 Discrete Function Equation
6.6 Constructive solution of functional equation
6.7 Thinking methods to solve competition problems
Chapter 7: The problem-solving ideas and typical problems of combinatorial mathematics.
7. 1 Common problem-solving ideas in combinatorial mathematics
7.2 Several Typical Problems of Combinatorial Mathematics
Chapter 8 Graph Theory and Mathematical Competition
8. 1 Introduction
8.2 Introduction to Basic Knowledge of Graph Theory
8.3 How to turn graph theory scores into competition questions
8.4 Examples of Classification of Competition Questions Based on Graph Theory
Chapter 9 Elementary Geometry
9. Basic properties of1circle
9.2 circle power sum root axis
9.3 "Five Hearts" of Triangle
9.4 Important Theorem and Its Application
9.5 Solutions to Common Problems
Appendix reference answer