(2012+1/2011)/(2011+1/2012)+(2010+1/2011)/(2011+1/2010)的简便方法

问题描述:

(2012+1/2011)/(2011+1/2012)+(2010+1/2011)/(2011+1/2010)的简便方法

(2012+1/2011)/(2011+1/2012)+(2010+1/2011)/(2011+1/2010)=﹛(2011×2012+1﹚/2011﹜×﹛2012/(2011×2012+1﹚﹜+﹛(2010×2011+1﹚/2011﹜×﹛2010/(2010×2011+1﹚﹜=2012/2011+2010/2011=2×2011/2011=2...