1, observe and find the rule: carefully observe the data given in the topic and try to find the rule or pattern. We can start with numbers, shapes, arrangement order and so on to find the same characteristics or trends.

2. List method: list the data given by the topic into a table or list, compare the differences between the data one by one, and find out the rules. Especially those involving arrangement, combination and alternation. List method can help you see the law more clearly.

3. Digital operation method: through mathematical operations, such as addition, subtraction, multiplication, division, square, cube, etc. , observe whether the results conform to some laws. For example, increase the number of terms in arithmetic progression, and observe the relationship between the sum of series and the number of terms.

4. Graphic solution: For the regularity problems involving graphics, you can draw graphics to help you observe and answer questions. According to the information given by the topic, draw the corresponding graphs and observe the relationship and changes between the graphs.

5. Algebraic method: For some complex regular problems, we can try to use algebraic symbols and equations to represent the problems and solve them through algebraic operations. Unknown quantities are represented by letters, and related equations or inequalities are established, and the results are obtained by solving the equations.

6. Induction: Through the process of discovering the law, the essence and characteristics of the law are gradually summarized. On the basis of observing and comparing data, the general laws or formulas for solving similar problems are summarized and formed.

Matters needing attention in junior high school mathematics legal problems

1, carefully observe the sequence, analyze the relationship between the numbers, and try to find the law.

2, can be classified discussion, the series is divided into several small parts, respectively, to find the law.

3. For more complex number sequences, we can draw them into graphs, analyze the changes of shape and position, and deduce the rules.

4. When deducing the law, we should consider the size, position, parity and other factors of numbers, as well as the operation symbols such as addition, subtraction, multiplication and division.