1. is the only basis for evaluating the performance, level, award-winning level and mathematical model answer sheet of the participating teams.

The answer sheet is the written form of the competition result.

3. The training of writing the answer sheet is the basic training of scientific writing.

Second, the basic content of the answer sheet and the problems that need attention.

1) Review principles: rationality of assumptions, creativity of modeling, rationality of results and clarity of expression.

2) The article structure of the answer sheet

0. Summary

1. Problem description, problem analysis and background analysis, etc.

2. Assumptions and symbolic descriptions of the model (table)

3. Model establishment (problem analysis, formula derivation, basic model, final or simplified model, etc.). )

4. Solve the model

▲ Design or selection of calculation method; Algorithm design or selection, algorithm ideological basis, steps and implementation, calculation block diagram; The name of the software used;

▲ Quote or establish necessary mathematical propositions and theorems;

▲ Solutions and processes

5. Result representation, analysis and test, error analysis and model test. ...

6. Model evaluation, characteristics, advantages and disadvantages, improvement methods and popularization.

7. Reference

8. Appendix, calculation block diagram and detailed chart ...

3) Problems that should be paid attention to

0. summary. Including:

A. Mathematical classification of the model (what type does it belong to mathematically)

B. Modeling ideas (creativity)

C. Algorithm idea (solution idea)

D. Modeling characteristics (model advantages, modeling ideas or methods, algorithm characteristics, result test, sensitivity analysis, model test ...)

E main results (numerical results, conclusions) (answer all the "questions" raised by the topic)

▲ Description: accurate, concise, clear, grammatical, neat and beautiful font; Printing is the best, but it must conform to the article format. Be sure to proofread carefully.

1. restatement of the problem. leave out

2. Model hypothesis: According to the scoring principle determined by the National Organizing Committee, the rationality of the basic hypothesis is very important.

(1) Make assumptions according to the conditions in the topic.

(2) Make assumptions according to the requirements in the topic. Key assumptions are indispensable; Assumptions should conform to the meaning of the question.

3. Establishment of the model

(1) Basic model:

1) first of all, there must be a mathematical model: mathematical formula, scheme, etc.

2) The basic model should be complete, correct and concise.

(2) Simplify the model:

1) should be clearly stated: simplify thinking, basis

2) Simplify the model and give it as completely as possible.

(3) The model should be practical and effective, with the principle of effectively solving problems. Mathematical modeling faces practical problems to be solved, rather than pursuing mathematics: high (level), deep (engraving) and difficult (degree).

If it can be solved by elementary methods, there is no need for advanced methods;

● If it can be solved by simple methods, there is no need for complicated methods;

If you can use a method that is understood and understood by more people, you don't need a method that can only be understood and understood by a few people.

(4) Encourage innovation, but be pragmatic, and don't digress into unconventional mathematical model innovation.

▲ In modeling, the model itself, good simplification methods and strategies, etc.

▲ The model is being solved

▲ Results representation, analysis, testing and model testing.

▲ Promotion part

(5) In the process of problem analysis and deduction, we should pay attention to the following questions:

Analysis: pertinent and accurate

Terminology: professional and expert; ;

Principles and basis: correct and clear,

Description: Be concise and list the key steps.

Avoid: layman's words, unclear terminology, confusing and lengthy expression.

4. Model solving

(1) When a mathematical proposition needs to be established, the statement of the proposition should conform to the norms of the mathematical proposition and be as rigorous as possible.

(2) It is necessary to explain the principle, thinking, basis and steps of the calculation method or algorithm. If existing software is adopted, explain the reasons for adopting the software and the name of the software.

(3) In the calculation process, the intermediate results are optional and not listed.

(4) Try to get a reasonable numerical result.

5. Result analysis and inspection; Model checking and model modification; Result representation

? (1) The correctness or rationality of the final numerical results is the first;

? (2) Check the numerical results or simulation results as required. When the result is incorrect, unreasonable or has a large error, analyze the reasons and modify and improve the algorithm, calculation method or model;

(3) List the questions, numerical results and conclusions required to be answered in the topic one by one;

(4) Column data: consider whether it is necessary to list multiple groups of data, or compare and analyze the data with additional data, so as to provide a basis for proposing various schemes;

(5) The result display should be centralized, clear at a glance, intuitive and convenient for comparison and analysis.

▲ Numerical results show that the table is carefully designed; If possible, in the form of a chart.

▲ The solution is best illustrated.

(6) When necessary, discuss the answers to questions qualitatively or regularly. The final conclusion should be clear.

6. Model evaluation

Outstanding advantages and unavoidable disadvantages. Change the original requirements, re-modeling can be done here. Don't play with new mathematical terms when popularizing or improving the direction.

7. Reference

8. Appendix: Detailed results and detailed data sheets can be listed here. But don't be wrong, and the wrong ones would rather not be listed. The main result data should be listed in the text, not afraid of repetition.

Check the main three points of the answer sheet and put the three levels:

● The correctness, rationality and innovation of the model.

The correctness and rationality of the results

The text is clear, the analysis is incisive and the summary is wonderful.

Third, the requirements for students who write according to the division of labor.

Fourth, thinking and work planning before writing the answer sheet

What questions need to be answered on the answer sheet-what problems need to be solved in modeling?

How is this question answered ―― What is the form of the result?

What key data should be listed for each question-what key data should be calculated for modeling?

For each quantity, list one or more sets of numbers-whether to calculate one or more sets of numbers? ...

Five, the principle requirements of the answer sheet

Accuracy-scientificity

Organizational logic

Simplicity-the Beauty of Mathematics

Innovation-one of the goals of research and application is also the need of talent training.

Practical-modeling. Practical problem requirements.

Modeling concepts:

1. application consciousness: solve practical problems, and the results and conclusions should conform to reality; The model, method and results should be easy to understand and convenient for practical application; Think and deal with problems from the standpoint of users.

2. Mathematical modeling: Mathematical models are needed to solve problems by mathematical methods; The mathematical abstraction of the problem model is universal and scientific, and is not limited to the solution of this specific problem.

3. Innovative consciousness: the modeling is distinctive, more reasonable, scientific, effective and practical; More universal application significance; Not just for innovation.