As an advanced mathematics teacher, especially an instructor who has coached and led a team to participate in the national college students' mathematical modeling competition all the year round, I can deeply understand that the mathematical modeling competition paper is different from the general mathematics paper, mainly because of its comprehensiveness. The test paper of mathematical modeling competition is closely related to reality and aims at the objective and practical characteristics of the problem. There is a process of analysis, arrangement and synthesis, including reading the meaning of the problem, choosing appropriate mathematical tools, establishing a reasonable mathematical model, using appropriate calculation methods, rigorous argumentation and deduction, clear conclusions, practical test of the results, appropriate evaluation and summary, and popular and concise language. A good article should have the following characteristics: realistic analysis, reasonable and convincing assumptions, selection of appropriate mathematical knowledge, strict logical reasoning and argumentation. Reasonable application of calculation methods and software, correct answers, correctness of test results and realistic evaluation can not only be simple and clear, but also explain the summary of the problem. First, the actual analysis and understanding of the topic of the mathematical modeling competition is an objective and practical problem. The content is all-encompassing Accurately understanding the background and requirements of the topic is the first step to solve the problem. This requires us to analyze all the factors involved in the topic. It is necessary to analyze which factors have an impact on the problems we are discussing, which are the main factors, which are the secondary factors, which are the decisive factors, which are irrelevant, and the master-slave relationship between the factors. It is necessary to fully and correctly understand the requirements of the topic. That is, what problems the topic requires us to solve. Don't misinterpret the meaning of the topic, or all the previous efforts will be in vain. It is necessary to analyze what data are needed to solve the problem, whether these data topics are given enough, and if not, collect them yourself. It is necessary to analyze which mathematical tools are suitable for solving problems, and which mathematical knowledge is not helpful or not suitable for solving this problem. On the basis of analysis, it is best to work out the steps and methods to solve the problem and the tools needed (here mainly refer to mathematical knowledge, calculation methods and software). Only in this way can we solve and write in an orderly and leisurely way. Second, the establishment of a convincing and reasonable hypothetical mathematical model is based on assumptions. According to the requirements of the topic, we must first collect relevant data. These data must be reliable. It is authoritative to a certain extent. Rationality means that it conforms to objective reality and cannot violate the theorems and laws that have been proved to be correct. Hypothesis is a crucial step in mathematical modeling, which is related to the success or failure of modeling and the quality of the model. Hypothesis is also the difficulty of mathematical modeling. The assumption of mathematical modeling is to give full play to everyone's imagination and creativity and put forward appropriate and reasonable opinions. If this step is successful, your whole modeling process will be half successful. The rationality of this question is convincing. That is to say, what area, what school and what major is your model aimed at? All sources of these data should be reliable and authoritative. The motivation of the model should be sufficient and convincing. Third, choose the right mathematics knowledge. In mathematical modeling, the same problem can be solved in many ways, so many different mathematical knowledge can often be used. Of all the available mathematical methods, the simpler the mathematical knowledge used, the better. Because our model is for people to see and is built to solve practical problems. Only the simpler model (including calculation) can be understood and applied by people, and the application value of the model will be higher. If used improperly, it will not only complicate the problem, but sometimes even lead to absurd results. This is a problem that we need to consider carefully and solve seriously. Fourth, strict logical reasoning and argumentation should establish corresponding models according to different regions and professions. In the process of analysis and demonstration, there should be sufficient basis, the source of data should be explained, and there should be sufficient basis. You can't rely on your own feelings to estimate, but be persuasive. Fifth, pay attention to the popularity of language and concise mathematical modeling. Like other scientific papers, language is the first impression. Just like people's clothes, they should be decent, simple, neat and beautiful, not too gorgeous or too fancy, which makes people uncomfortable to look at. This requires us to practice more and read more good articles. We should be good at learning from others' strengths, and sometimes we can imitate others' practices. Imitation is not plagiarism. On the basis of predecessors' experience, we should learn from other people's thinking methods, improve them according to the objective reality of our own problems, and combine our own views. This is innovation, this is invention. Sixth, a good summary is the first threshold. Why do you say that? Because there are more and more teams, the number of marking experts is limited. You should read the abstract first when correcting the test paper. If you read the abstract, people feel that this article is not worth reading, and you may be eliminated in the first step. If you can't even get in the door, you won't have a chance to win the prize. At least it should include thinking method, main conclusions, advantages and disadvantages. It is suggested to read more well-written abstracts and do more work. More training. It is best to achieve the following effects: reading the abstract of your article will make people feel the need to read the content further. Seventh, talk about the novelty and innovation of the article. 1. Innovative ideas should be different from ordinary people. This can be reflected in the following points: (1) is reflected in the assumptions of the model; (2) reflected in the shape; (3) Embodied in demonstration and deduction; (4) Reflected in the solution and calculation; (5) Reflected in data collection.