For students of different levels, it is introduced in three stages:
1, sword stage.
Combined with the competition outline, systematically review all the knowledge of advanced mathematics, fully grasp the basic methods and deeply understand the basic concepts. The goal is to make your level reach the excellent level of the final exam, and do half of the questions in the preliminaries.
The goal of this stage is relatively easy to achieve, and students with relatively weak level can greatly improve their advanced mathematics level in the review preparation at this stage. At this stage, you can refer to the textbook, Jimidovich or CMC guide. If the goal of the contest is "three guarantees for one" in the preliminary round, it is not a big problem to achieve stage/kloc-0.
2. Epee stage.
If the goal of the competition is "one guarantee and one dozen", you need to further exercise your problem-solving ability on the basis of stage 1 The proof problem in CMC (especially the proof of unary function) is a difficult problem, and there are many hard-to-think constructive proofs, which need a lot of real problem simulation training.
At this stage, it is suitable to use the "red test set" and practice until you are familiar with it (that is, as long as you know how to solve or prove it, you will be able to write it without making mistakes). For some highly skilled topics, even if you do it once and understand it at that time, you will forget it after a while, which requires repeated review until you can list all the solutions to a topic.
After training in stage 2, we will finally reach the level that "no more than two big questions in the initial test questions can't be completely worked out".