阿基米德分牛问题
的有关信息介绍如下:先设公的白、黑、花、棕牛的数量分别是x1,x2,x3,x4只,母的白、黑、花、棕牛的数量分别是y1,y2,y3,y4只,依题意可知:x1=x4+5/6*x2x2=x4+9/20*x3x3=x4+13/42*x1y1=7/12*(x2+y2)y2=9/20*(x3+y3)y3=11/30*(x4+y4)y4=13/42*(x1+y1)整理,化简后,得到x1=5936/2376*x4x2=178/99*x4x3=1580/891*x4y1=2402120/1383129*x4y2=543694/461043*x4y3=3709101600773436857/4377498837804122112*x4y4=73640654275250721919/56177901751819567104*x4因为牛的数量必定是整数,故? x4=56177901751819567104*K? (K=1,2,3,...),取K=1得到一组解:x1=140350178787374137344x2=101006732442665484288x3=99619623757435371520x4=56177901751819567104y1=97565781178820502702y2=66248892435312513234y3=47600137209925772010y4=73640654275250721919后面的数字太大了,是用计算机算的,真佩服当年阿基米德用手算出来的结果啊,牛人就是牛人!不过,太阳神的牛好多啊,估计比太阳系的恒星还要多!