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(2006-1/2-1/3-……-1/2005)(1/2+1/3+……+1/2006)-(2006-1/2-1/3-……-1/2006)(1/2+1/3……+1/2005)=?

分类: 作业答案 • 2022-04-24 08:55:49
问题描述：

(2006-1/2-1/3-……-1/2005)(1/2+1/3+……+1/2006)-(2006-1/2-1/3-……-1/2006)(1/2+1/3……+1/2005)=?

答

(2006-1/2-1/3-……-1/2005)(1/2+1/3+……+1/2006)=(2006-1/2-1/3-……-1/2005)(1/2+1/3+……+1/2005)+(2006-1/2-1/3-……-1/2005)*1/2006
(2006-1/2-1/3-……-1/2006)(1/2+1/3……+1/2005)=(2006-1/2-1/3-……-1/2005)(1/2+1/3……+1/2005)-(1/2+1/3……+1/2005)*1/2006
(2006-1/2-1/3-……-1/2005)(1/2+1/3+……+1/2006)-(2006-1/2-1/3-……-1/2006)(1/2+1/3……+1/2005)=(2006-1/2-1/3-……-1/2005)*1/2006+(1/2+1/3……+1/2005)*1/2006
=1

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