1. Investigate the depth and breadth of knowledge: The senior high school mathematics Olympic competition not only examines students' mastery of basic mathematics knowledge, but also examines students' ability to solve mathematical problems and think independently.
2. Investigate a certain mathematical foundation: Compared with ordinary middle school mathematics examination, the investigation content of high school mathematics Olympic Games is more in-depth, which requires a certain mathematical foundation and logical thinking ability.
3. The examination form is unique: There are various forms of high school mathematics Olympic competition examination, including multiple-choice questions, fill-in-the-blank questions, short-answer questions and proof questions, among which the proof question is the most difficult part.