数学题(1/4+1/5+1/6+...+1/671)(1/3-查字典问答网
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  数学题(1/4+1/5+1/6+...+1/671)(1/3+1/4+1/5+..+1/670)-(1/3+1/4+1/5+...+1/671)(1/4+1/(1/4+1/5+1/6+...+1/671)(1/3+1/4+1/5+..+1/670)-(1/3+1/4+1/5+...+1/671)(1/4+1/5+1/6+...+1/670)=?

  数学题(1/4+1/5+1/6+...+1/671)(1/3+1/4+1/5+..+1/670)-(1/3+1/4+1/5+...+1/671)(1/4+1/

  (1/4+1/5+1/6+...+1/671)(1/3+1/4+1/5+..+1/670)-(1/3+1/4+1/5+...+1/671)(1/4+1/5+1/6+...+1/670)=?

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2019-08-0100:51
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陈夏光

  用换元法做,假设A=1/4+1/5+……+1/670,B=1/3+1/4+1/5+……+1/670

  原式=(A+1/671)×B-(B+1/671)×A

  =A×B+1/671×B-A×B-1/671×A

  =1/671×B-1/671×A

  =1/671×(B-A)(B-A=1/3,B比一个分数1/3)

  =1/671×1/3

  =1/2013

2019-08-01 00:53:15
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