(1/2012-1)(1/2011-1)(1/2010-1)⋯(1/1000-1)=

来源：学生作业帮编辑：大师作文网作业帮分类：数学作业时间：2024/11/20 06:25:44

(1/2012-1)*(1/2011-1)*(1/2010-1)*⋯*(1/1000-1)=

(1/2012-1)*(1/2011-1)*(1/2010-1)*⋯*(1/1000-1)
=(-2011/2012)*(-2010/2011)*(-2009/2010)*.*(-999/1000)
=-999/2012

(1/2012-1)*(1/2011-1)*(1/2010-1)*⋯*(1/1000-1)= (1\2012-1)(1\2011-1)(1\2010-1)...(1\3-1)(1\2-1)=? (1/2012-1)*(1/2011-1)*(1/2010-1).*（1/1000-1） |1/2011-1/2010|-｜1/2012-1/2010｜+｜1/2012-1/2011｜=? (2012/1-1)×(2011/1-1)×(2010/1-1)×……×(1001/1-1)×(1000/1-1) |1/2013-1/2012|+ |1/2012-1/2011|+|1/2011-1/2010|-|1/2010-1/2 [2012分之1-1】*【2011分之1-1】*【2010分之1-1】*...*【1001分之1-1】*【1000分之1 (1/2012-1)(1/2011-1)(1/2010-1)...(1/3-1)(1/2-1)咋算计算：｜1/2012-1/2011｜+｜1/2011-1/2010｜-｜1/2012-1/2010｜ |1/2011-1/2010|+|1/2011-1/2012|-|1/2012-1/2010| (1－1/2009+1/2010+1/2011) ×（1/2009+1/2010+1/2011+1/2012）－（1+1 计算:(1/2-1)(1/3-1)(1/4-1)...(1/2010-1)(1/2011-1)(1/2012-1)