How to teach yourself a math contest in senior high school systematically
First, ignore the progress in class and make a set of Olympic mathematics teaching materials. It is not difficult to do that, and the knowledge points are basically divided according to the high school curriculum. After finishing, it can be regarded as an introduction to high school mathematics competition, and the basic knowledge has also been mastered. This process will take about one year. Strive to start making some special high school competition textbooks in the summer vacation of senior one and senior two, and at the same time start making regular competition questions and real questions over the years. During the second year of high school, I have to complete a set of competition question bank books and all the real questions in recent years. Make good use of two summer vacations and one winter vacation. If possible, you can participate in some high school mathematics competition training organized by universities, but the courses given by the national team coaches are just different. In the second half of the second year of senior high school, we should add some training specifically for the second exam, such as ensuring that the first question of geometry must be won; The third problem is usually combinatorial mathematics, so if you have enough time, you can specialize in combinatorial mathematics; Problems such as inequalities that are often examined in the second test should also be focused on training. Personally, I feel that college mathematics is of little help to the high school mathematics competition. If you really want to learn, you can look at the limit, mean value theorem and conditional extreme value in advanced mathematics. Among them, the Lagrange number multiplication of conditional extremum can be said to be a universal solution to some inequality problems, but there is a risk of not being recognized when marking papers in high school competitions, so the university method should be used with caution. Calculus is not very helpful to the math contest. I wish you progress in your studies.