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Methods of discovering laws in junior high school mathematics
1, what is the rule of the number in the first row: each number is the square of the number of terms. For example, the number 1 is the square of 1, the second number is the square of 2, and the third number is the square of 3.

What is the relationship between the number of lines 2, 2 and 3 and the number of lines 1 respectively? The relationship between the number in the second line and the number in the first line is that 1 is subtracted from each number in the first line to get the number in the second line; The relationship between the number in the third row and the number in the first row is as follows: add 3 to each number in the first row to get the number in the third row;

3. Take line 12 and calculate the sum of these three numbers.

12* 12+( 12* 12- 1)+( 12* 12+3)=434

If a, b and c are three arbitrary integers, then, in ... (because I can't score music, I made a picture, which is inserted. ) How many integers will there be in these three numbers? Please simply explain the reason with the parity of integers.

To make the result of each fraction an integer, the numerator must be an even number, and to make the result an integer minimum, the numerator must be an odd number maximum. When all three numbers in A, B and C are odd or even, the molecules of the above three fractions are even, and the results are all integers; When only two of A, B and C are odd numbers, only one of the molecules of the above three fractions is even, that is, only one is an integer; When only 1 of A, B and C is odd, only one of the molecules of the above three fractions is even, that is, only one is an integer; To sum up, these three numbers will have at least 1 integer.