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(1/2018%1)*(1/2017%1)…(1/3%1)*(1/2%1)=

(1/2018-1)(1/2017-1)...(1/3-1)(1/2-1) =-(1- 1/2018)(1- 1/2017)...(1- 1/3)(1- 1/2) =-(2017/2018)(2016/2017)...(2/3)(1/2) =-(2017×2016×...×2×1)/(2018×2017×...×3×2) =-1/2018

|1-1/2|+|1/2-1/3|+|1/3-1/4|+……+|1/2017-1/2018| =(1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/2017-1/2018) =1-1/2018 =2017/2018

1*1/2+1/2*1/3+1/3*1/4……+1/2017*1/2018 =1-1/2+1/2-1/3+1/3-1/4+……+1/2017-1/2018 =1-1/2018 =2017/2018

1/2017-1/2018=1/(2017*2018)

2018+2017-2016-2015=42014+2013-2012-2011=4…………6+5-4-3=4有504个44×504+2+1=2016+3=2019

(1/2018-1)×(1/2017-1)×(1/2016-1)×(1/1001-1)×(1/1000-1) =(-2017/2018)×(-2016/2017)×(-2015/2016)×(-1000/1001)×(-999/1000) =-999/2018

1/2017一1/2018 =(2018-2017)/(2017×2018) =1/4070306

计算机上分子在前,分母在后 1/(2017x2018)=1/2017-1/2018

|1-1/2|+|1/2-1/3|+|1/3-1/4|+……+|1/2017-1/2018| =(1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/2017-1/2018) =1-1/2018 =2017/2018

|1/2018-1/2017|+|1/2017-1/2016|+…+|1/2-1| =1/2017-1/2018+1/2016-1/2017+....+1-1/2 =1-1/2018 =2017/2018

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