很久以前就见到过“数学很美丽”这句话,好像是在华罗庚的传记中。
昨天看到了这几组算式,很受震动,第一次惊讶地认识到,数学,真是美极了,奇特极了,仿佛有什么东西藏在其中,静静地展现着它的美丽,静静地注视着我们。
1 x 8 + 1 = 9 12 x 8 + 2 = 98 123 x 8 + 3 = 987 1234 x 8 + 4 = 9876 12345 x 8 + 5 = 98765 123456 x 8 + 6 = 987654 1234567 x 8 + 7 = 9876543 12345678 x 8 + 8 = 98765432 123456789 x 8 + 9 = 987654321
1 x 9 + 2 = 11 12 x 9 + 3 = 111 123 x 9 + 4 = 1111 1234 x 9 + 5 = 11111 12345 x 9 + 6 = 111111 123456 x 9 + 7 = 1111111 1234567 x 9 + 8 = 11111111 12345678 x 9 + 9 = 111111111
123456789 x 9 +10 = 1111111111
9 x 9 + 7 = 88 98 x 9 + 6 = 888 987 x 9 + 5 = 8888 9876 x 9 + 4 = 88888 98765 x 9 + 3 = 888888 987654 x 9 + 2 = 8888888 9876543 x 9 + 1 = 88888888 98765432 x 9 + 0 = 888888888
1/9=0.11111 11/9=1.222222 111/9=12.333333 1111/9=123.444444 11111/9=1234.555555 111111/9=12345.666666 1111111/9=123456.777777 11111111/9=1234567.888888 111111111/9=12345678.999999
华丽吧?震撼吧?
再看看下面一组数字的对称性
1 x 1 = 1 11 x 11 = 121 111 x 111 = 12321 1111 x 1111 = 1234321 11111 x 11111 = 123454321 111111 x 111111 = 12345654321 1111111 x 1111111 = 1234567654321 11111111 x 11111111 = 123456787654321 111111111 x 111111111 = 12345678987654321
|