Imo Problems, Theorems, And Methods: Geometry

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Tianqi Lin (Fudan University Affiliated High School, China) Bin Xiong (East China Normal University, China)

Imo Problems, Theorems, And Methods

Geometry

Tianqi Lin (Fudan University Affiliated High School, China), Bin Xiong (East China Normal University, China), Xinyuan Yang (East China Normal University, China)

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English

World Scientific Publishing Co Pte Ltd
14 September 2025

Geometry

Series: Mathematical Olympiad Series

Summary
Details

The problems in the International Mathematical Olympiad (IMO) are not only novel and interesting but also deeply rooted in profound mathematical context. The team at the International Mathematical Olympiad Research Center at East China Normal University has compiled and studied problems from past IMOs, dividing them into four volumes based on the mathematical fields involved: algebra, geometry, number theory, and combinatorics.

In the geometry volume, the IMO geometry problems are organized into seven chapters: 'Similarity and Congruence,' 'Basic Properties of Circles and Four Points on a Circle,' 'Power of a Point, Radical Axis, and Radical Center,' 'Special Points and Special Lines in a Triangle,' 'Trigonometry, Areas, and Analytic Geometry,' 'Solid Geometry,' and 'Geometric Inequalities.' Each chapter begins with an introduction to the relevant foundational knowledge and methods, followed by a reclassification and reorganization of past IMO problems. Multiple elegant solutions are provided for some of the problems, along with a statistical analysis of their difficulty.

The book concludes with a record of past IMO participation and award information, as well as an index of geometry problems, facilitating further study and convenient reference. This series is suitable for researchers in mathematical competitions, mathematics educators, and contestants.

By: Tianqi Lin (Fudan University Affiliated High School China), Bin Xiong (East China Normal University, China)
Translated by: Xinyuan Yang (East China Normal University China)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Volume: 27
ISBN: 9789819803309
ISBN 10: 9819803306
Series: Mathematical Olympiad Series
Pages: 436
Publication Date: 14 September 2025
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active