"Laying the foundation in class and developing the ability after class" is not necessarily comprehensive, but it has some truth. The author of this book has long been involved in mathematics competition counseling and proposition work. The biggest experience is that doing mathematics competition questions is not only for competition, but more importantly, improving thinking ability, activating potential, striving for good results in senior high school entrance examination and college entrance examination, and laying a good foundation for further study.

The main features of this book in content writing are:

1. All the knowledge points arranged in this book are extended or broadened as far as possible on the corresponding knowledge points in the current middle school mathematics textbook, and synchronized with the textbook as much as possible. Paying attention to the foundation is the natural extension and expansion of the questions in class. Examples give detailed ideas and solutions, and exercises also provide complete solutions to inspire students to master the methods and facilitate their self-study.

2. The examples and exercises in this book are selected from all kinds of competitions and excellent test questions as far as possible. The topics are outstanding and novel, and they are the selection of the latest competition questions. And the book summarizes the ideas and methods of solving problems in the Olympic Games, which has a brand-new problem-solving strategy.

This book is novel and unique, and its writing is novel and practical. The column setting of each topic, [Tip Summary] is the introduction and overview of this topic; Prove examples and analyze the meaning, solution and difficulty of each example; [Point out the key points] After several similar examples, summarize the solutions, and summarize the problem-solving ideas, regular skills and key points of similar problems; Exercises are exercises that students practice by themselves after learning the solution of examples. Mathematics is very operational, and it is impossible to master the method just by looking at it and not doing it. The complete solution gives the complete solution of the exercises according to the objective actual situation of Olympic mathematics learning, which is convenient for students to compare and summarize after doing the exercises and achieve the effect of effective mastery.

4. The content of this book is from simple to deep, step by step, suitable for students' age characteristics and knowledge structure, and pays attention to the connection with real life. Emphasis on fun, unconventional math competition questions only choose topics that can develop intelligence and be innovative.

This book is thoughtful and open. Enlighten thinking, solve many problems, help students master methods, form skills and learn to be single-minded. The solutions of some exercises are open and the results are open, which gives full play to students' imagination and creativity.

"Mathematics makes people smart". We believe that through the promotion of mathematical competition activities, all kinds of intellectual and non-intellectual potentials hidden in the vast number of teenagers will be fully exerted, so that their thinking level will be higher, their thinking activities will be faster, and their learning will and learning ability will be stronger. Mathematical Olympics focuses on participation-not only to surpass others, but also to surpass yourself yesterday.