Suppose the six positions in the following figure are A, B, C, D, E and F, where A, B and C are the first row and D, E and F are the second row. According to the topic, the following equations can be established: the sum of the first line is a+b+c= 10, and the sum of the second line is d+e+f= 10. At the same time, these six numbers cannot be repeated, that is, A ≠ B ≠ C ≠ D E.
Therefore, all possible filling methods are as follows:
The first line: 1, 4, 5; The second line: 2, 3, 6.
The first line: 1, 6, 3; The second line: 2, 5, 4.
The first line: 2, 4, 6; Second line: 1, 3, 5.
Common mathematical number games:
1, blackjack game: given four numbers, add, subtract, multiply and divide, the result is equal to 24.
2. Sudoku game: in a 9x9 grid, fill in the number 1-9, so that the numbers are not repeated in each row, column and 3x3 small grid.
3. Guess the number game: One player thinks of a number in his mind, and other players gradually approach it through guessing and feedback.
4. Digital jigsaw puzzle: Given a chaotic set of numbers, players need to move these numbers and arrange them in ascending or descending order.
5. Math maze game: Players need to find an exit in the maze and solve math problems to get through obstacles.
6. Digital Huarong Road: This is a slider puzzle game. Players need to arrange the numbers in order by sliding the number box in a rectangular grid with a fixed size.
7. Number connection game: In this game, players need to connect the same numbers and add them to obtain a specific target value.