1. When solving a problem, we must first find out what changes there are between the numbers in each row, and then think about some arrangement rules between them.

2. When you fill in the blanks according to the rules, you need to carefully observe the given conditions and the corresponding arithmetic before and after the given numbers.

3. First of all, we should compare the given figures. There are some changes before the two figures, and then find the corresponding law according to the changes.

4. When we find the rule, fill in the added number, and then we can fill in a few more, so that we can check whether the rule is found correctly.

Discovery mode is a basic skill in mathematics teaching in primary and secondary schools. The purpose is to let students discover, experience and explore the simple arrangement rules of figures and numbers. Through comparison, we can understand and master the method of finding patterns, and cultivate students' preliminary observation, operation and reasoning ability.

The significance of finding the law to fill in the blanks is actually to strengthen the understanding of the general law of sequence. Although it has many solutions, it is mainly to cultivate your ability to find the general law of series and guess the general term of series (that is, the ability to use incomplete induction), so that when you encounter some series that are difficult to find the general term by general methods,

We can guess the general formula of this series quickly and accurately through the first few items, and then prove it by mathematical induction or reduction to absurdity or other methods, bypassing the front mountain and quickly getting its general formula. Therefore, finding the rules to fill in the blanks will still help us to enhance our understanding of some difficulties and characteristic series.

application area

1, primary school to find the law is very simple, only add, subtract, multiply and divide, there will be no too troublesome square solution, although sometimes, just add, subtract, multiply and divide with a square.

2. Middle school is a little more difficult. If you add power to the square, you may use arithmetic progression to find the law. But if you study hard, it's still very simple.

3. There are basically no regular problems in universities. There may be, but the chances are slim, so don't worry.