1. Direct method: directly use the learned formulas, theorems and properties for calculation and deduction. This is the most basic method to solve problems, which is suitable for simple problems.
2. Analysis method: By analyzing the problem, find out the key points and laws of the problem, and then solve them. This method is suitable for complex problems and requires strong logical thinking ability.
3. Induction: By observing and summarizing some special situations, we can draw general rules or conclusions. This method is suitable for proving and solving problems.
4. Reduction to absurdity: assume that the conclusion sought is not valid, and then draw a contradiction through reasoning and calculation, thus proving the correctness of the original conclusion. This method is suitable for proving problems.
5. Analogy: Compare known problems with similar problems, find out their similarities and differences, and then solve new problems according to the solutions of known problems. This method is suitable for solving some novel problems.
6. Parameter method: the parameters in the problem are expressed by letters, and then the solution of the problem is obtained through transformation and calculation. This method is suitable for solving some problems with parameters.
7. Graphic solution: the relationship and law in the problem are represented by a graph, and then the solution is made according to the graph. This method is suitable for solving some geometric problems.
8. Algebraic method: turn the problem into an algebraic expression or equation, and then solve it through algebraic operation. This method is suitable for solving some algebraic problems.
9. Calculus method: Use the basic concepts and methods of calculus to analyze and solve problems. This method is suitable for solving some problems involving change rate and limit.