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2001×2003/2002+2002×2004/2003+4005/(2002×2003)

来源:学生作业帮 编辑:拍题作业网作业帮 分类:数学作业 时间:2024/04/28 12:34:15
2001×2003/2002+2002×2004/2003+4005/(2002×2003)
我希望你不要去别的问题答案里贴来的.
2001×2003/2002 + 2002×2004/2003 + 4005/(2002×2003)
=(2002-1)(2002+1)/2002 + (2003-1)(2003+1)/2003 + (2×2002+1)/(2002×2003)
=(2002²-1)/2002 + (2003²-1)/2003 + (2×2002+1)*[1/2002 - 1/2003)
=2002²/2002 - 1/2002 + 2003²/2003 - 1/2003 + 2 -2×2002/2003+1/2002-1/2003
=2002 - 1/2002 + 2003 - 1/2003 + 2 + 1/2002 +2-(2-2/2003)+1/2002-1/2003
=4007 - 1/2003
再问: 答案是4005.
再答: 2001×2003/2002 + 2002×2004/2003 + 4005/(2002×2003) =(2002-1)(2002+1)/2002 + (2003-1)(2003+1)/2003 + (2×2002+1)/(2002×2003) =(2002²-1)/2002 + (2003²-1)/2003 + (2×2002+1)*[1/2002 - 1/2003) =2002²/2002 - 1/2002 + 2003²/2003 - 1/2003 + 2 -2×2002/2003+1/2002-1/2003 =2002-1/2002+2003-1/2003+2-(2-2/2003)+1/2002-1/2003 =4005-1/2002-1/2003+2/2003+1/2002-1/2003 =4005
再问: 呃……我说过不要贴别人的。
再答: 不看拉倒,心情不好……