-Direct method: based on the conditions of the topic, use the knowledge of definition, theorem, nature and formula. Through the process of reasoning and operation, the result can be obtained directly.
-Number-shape combination method: when solving a problem, according to the specific characteristics of the problem conditions, make a figure that conforms to the meaning of the problem, so as to think of the shape in the number and help the number with the shape. Through the observation, analysis and research of images, we can inspire the thinking of solving problems and find out the implicit conditions of problems, thus simplifying the process of solving problems and testing the results of solving problems.
-Classification discussion method: divide the problem into several categories and solve each category separately.
-reduction to absurdity: assume that the conclusion is not established, and then draw a contradiction through reasoning.
-induction: draw general conclusions from concrete to general.