First, combine with reality.
There are many ways to solve practical problems, and different problems may have different solutions.
1. Analyze the actual situation: Sometimes we can find some related phenomena with the help of charts, graphs and other tools, and then deduce the methods to solve practical problems.
2. Modeling: We can build corresponding models with the help of abstract mathematical concepts, thus solving practical problems.
Second, mathematical induction.
Induction is a scientific method, and its basic idea is to collect enough facts first, then sum up certain rules or inferences from the facts, and finally give solutions from the rules.
1. Collecting facts: For the problem to be solved, all possible situations should be considered, and recorded and studied.
2. Induction: When there are more and more data, some laws can be summarized to solve the corresponding problems.
3. Reasoning solution: Finally, according to the summarized laws, corresponding solutions can be obtained to solve the original problem.
Third, mathematical reasoning methods
Mathematical reasoning is a method of applying reasoning to mathematical problems, which is based on a series of known situations, thus deriving corresponding conclusions or solutions.
1, deductive logic: According to the known conditions, with appropriate logical reasoning, a deductive logic for solving problems can be established.
2. Programming: After the reasoning logic reaches a reasonable level, it can be programmed to let the program automatically solve the problem according to the corresponding algorithm.
3. Application of specific problems: By applying the corresponding reasoning logic and program algorithm, the solution of specific mathematical problems can be calculated according to the requirements.
Fourthly, mathematical modeling method.
Mathematical modeling is a method to build models and solve mathematical problems.
1. Modeling: Mathematical abstract concepts can be used to build problem-solving models, thus solving specific mathematical problems.
2. Analysis model: analyze the established model and consider the characteristics of specific problems, so as to deeply understand and study its connotation.
3. Apply to specific problems: Finally, according to the analysis of the model, we can solve related mathematical problems according to the specific situation and combined with our own characteristics.