Volume 1 focuses heavily on , Trigonometry , and Geometry , providing a deep dive into topics that often go beyond the standard high school syllabus. Algebraic Foundations
Advanced applications in geometry.
If you need help locating a specific chapter or topic from Xu Jiagu’s book (e.g., "Cauchy-Schwarz inequalities" or "trigonometric substitutions"), I can explain those concepts directly or guide you to open-access lecture notes that cover the same material legally. Volume 1 focuses heavily on , Trigonometry ,
Problem (Inequalities): For positive reals a,b with ab=1, show a+b ≥ 2. Short solution: AM-GM: (a+b)/2 ≥ √(ab) = 1 ⇒ a+b ≥ 2. Problem (Inequalities): For positive reals a,b with ab=1,
The Mathematical Olympiad is a prestigious international competition that aims to promote problem-solving skills, mathematical creativity, and critical thinking among high school students. To prepare students for this competition, various mathematical olympiad courses are offered, providing in-depth training on advanced mathematical concepts and problem-solving strategies. This report provides an overview of the lecture notes on Mathematical Olympiad courses for senior section Vol 1. To prepare students for this competition