1, intuitive drawing method: If we can reasonably, scientifically and skillfully display the Olympic math problems with the help of points, lines, surfaces, diagrams and tables, and visualize the abstract quantitative relationship, students can easily understand the quantitative relationship, communicate the relationship between "known" and "unknown", grasp the essence of the problem and solve the problem quickly.
2. Backward push method: Starting from the final result of the topic description, use the known conditions to push forward step by step until the problems in the topic are solved.
3. Enumeration method: There are often some problems with very special quantitative relations in Olympic math problems, which are difficult to solve by ordinary methods, and sometimes it is impossible to list the corresponding formulas. According to the requirements of the topic, we can list the data that basically meet the requirements by enumeration, and then choose the answers that meet the requirements.
4. If you have difficulty in considering some math problems from the positive side, you can change your mind and consider the problems from the negative side of the results or problems, so that the problems will be solved.
5. Ingenious transformation: When solving the Olympic math problems, we should always remind ourselves whether the new problems we encounter can be transformed into old problems to solve, change the new into the old, grasp the essence of the problems on the surface, and turn the problems into familiar ones to answer. The types of transformation are conditional transformation, problem transformation, relationship transformation and graphic transformation.
6, the overall grasp: some Olympic math problems, if considered in detail, are very complicated and unnecessary. If we can grasp the whole and consider it from a macro perspective, we can solve the problem by studying the overall shape, overall structure and the internal relationship between parts and the whole, "only see the forest, but not the trees."