Mathematical Olympiad In China 2021 2022 Problems And Solutions
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Mathematical Olympiad In China (2021-2022): Problems And Solutions
In China, many excellent students in mathematics take an active part in various mathematical contests, and each year, the best six senior high school students are selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years, China's IMO Team has achieved outstanding results — they won first place almost every year.The authors of this book are coaches of the China national team. They are Xiong Bin, Xiao Liang, Yu Hongbing, Yao Yijun, Qu Zhenhua, Li Ting, Ai Yinhua, Wang Bin, Fu Yunhao, He Yijie, Zhang Sihui, Wang Xinmao, Lin Tianqi, Xu Disheng, et al. Those who took part in the translation work are Chen Haoran and Zhao Wei.The materials of this book come from a series of two books (in Chinese) on Forward to IMO: a collection of mathematical Olympiad problems (2021-2022). It is a collection of problems and solutions of the major mathematical competitions in China. It provides a glimpse of how the China national team is selected and formed.
Mathematical Olympiad In China (2023): Problems And Solutions
In China, many excellent mathematics students take an active part in various mathematical contests, and each year, the best six senior high school students are selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years, China's IMO Team has achieved outstanding results — they won the first place almost every year.The authors of this book are esteemed coaches of the China national team, including Xiao Liang, Qu Zhenhua, Xiong Bin, Yu Hongbing, Yao Yijun, Wang Xinmao, Li Ting, Ai Yinghua, Fu Yunhao, Wang Bin, He Yijie, and Zhang Sihui. Contributing to the translation efforts were Chen Haoran and Zhao Wei.The materials of this book come from a book (in Chinese) on Forward to IMO: A Collection of Mathematical Olympiad Problems (2023). It is a collection of problems and solutions of the major mathematical competitions in China. It provides a glimpse of how the China national team is selected and formed.
Solving Problems In Point Geometry: Insights And Strategies For Mathematical Olympiad And Competitions
For over two millennia, the complexities of elementary geometry have challenged learners, burdened by the intricacies of auxiliary graphics and cumbersome calculations. Inspired by Leibniz's query, this book introduces a groundbreaking method: point geometry. By operating directly on points, it integrates the strengths of coordinate, vector, and mass point methods, simplifying operations and problem-solving.Central to this method is the identity approach, which streamlines complex problems into concise equations, unlocking multiple propositions with ease. Through meticulously crafted examples, readers are invited to explore the joy of mathematical thinking.Beyond mathematics, point geometry holds promise for artificial intelligence, offering a simple yet rich knowledge representation and reasoning method. With most solutions generated by computer programs, the potential for simplifying reasoning methods is immense, paving the way for a brighter future in both education and AI advancement.In this ambitious endeavor, the authors seek to simplify knowledge representation and reasoning, reduce the burden of learning, and accelerate the progress of artificial intelligence. This book is not just a guide to geometry; it's a catalyst for transformative thinking and discovery.