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九年义务教材初中代数第二章有理数中有一个填三阶幻方的问题,要求将—4至4的9个整数分别填入幻方的9个空格中,使横、竖、斜对角的所有3个数相加为零,此题是在“想一想”的栏目上,所以,容易被师生忽视。在教学中,我们若较好地发挥它的作用,并把它发展到四阶幻方和五阶幻方,必会收到良好的教学效果。 一、填幻方是数学美育的较好素材 先看填幻方的四个步骤:先从左到右,从上到下将1至9的自然数顺次填入幻方中如图1;然后中
Nine-year Compulsory Textbooks The second chapter of the junior middle school algebra, the second chapter of rational numbers, has a problem of filling the third-order magic squares. It is required to fill 9 squares of -4 to 4 into the 9 spaces of the magic square respectively so that the horizontal, vertical, and diagonal sides are diagonal. All three numbers are added to zero. This question is in the “think” section, so it is easily overlooked by teachers and students. In teaching, if we can better play its role and develop it into fourth-order magic squares and fifth-order magic squares, we will surely receive good teaching results. First, fill in the magic square is a better material for mathematics education First look at the four steps to fill in the magic square: first from left to right, from top to bottom, the natural numbers from 1 to 9 are filled in magic squares in sequence as shown in Figure 1; in