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.
Extended data
As a mathematical thinking method, the application of the combination of numbers and shapes can be roughly divided into two situations: either by means of the accuracy of numbers to clarify some properties of shapes, or by means of the geometric intuition of shapes to clarify some relationship between numbers, that is, the combination of numbers and shapes includes two aspects:
The first case is "solving the shape by number";
The second situation is "helping numbers with shapes". "Solving shapes by numbers" means that some shapes are too simple to see any laws by direct observation, and it is necessary to assign values to the shapes, such as side length and angle.