解答:⑴方程解法:假設(shè)進(jìn)行運算后四個數(shù)都變成x ,那么甲數(shù)是x-2 ,乙數(shù)是x+2 ,丙數(shù)是0.5x ,丁數(shù)是2x .可以根據(jù)題目條件列出方程:(x-2)+(x+2)+0.5x+2x=1296
整理得到4.5x=1296 ,解得x=288 .所以甲數(shù)是288-2=286 ,乙數(shù)是 288+2=290,丙數(shù)是288÷2=144 ,丁數(shù)是288×2=576 .
、扑阈g(shù)解法:四個數(shù)相等時,每個數(shù)均可看成是"1"份,那么可知:甲數(shù)原來是1份少2;乙數(shù)原來是1份多2;丙數(shù)原來是0.5份;丁數(shù)原來是2份.從而可得出每份:(1296+2-2)÷(1+1+0.5+2)=1296÷4.5 =288 ,由此可知:甲數(shù)是286,乙數(shù)是290,丙數(shù)是144,丁數(shù)是576.