2001*2003/2002+2002*2004/2003+4005/2002*2003
答案:1 悬赏:60
解决时间 2021-01-27 23:04
- 提问者网友:相思似海深
- 2021-01-26 23:03
2001*2003/2002+2002*2004/2003+4005/2002*2003
最佳答案
- 二级知识专家网友:千杯敬自由
- 2021-01-26 23:35
2001×2003/2002 + 2002×2004/2003 + 4005/(2002×2003)
=(2002-1)(2002+1)/2002 + (2003-1)(2003+1)/2003 + (2×2002+1)/(2002×2003)
=(2002^2-1)/2002 + (2003^2-1)/2003 + 2×2002/2002 + 1/2002
=2002^2/2002 - 1/2002 + 2003^2/2003 - 1/2003 + 2 + 1/2002
=2002 - 1/2002 + 2003 - 1/2003 + 2 + 1/2002
=4007 - 1/2003
=(2002-1)(2002+1)/2002 + (2003-1)(2003+1)/2003 + (2×2002+1)/(2002×2003)
=(2002^2-1)/2002 + (2003^2-1)/2003 + 2×2002/2002 + 1/2002
=2002^2/2002 - 1/2002 + 2003^2/2003 - 1/2003 + 2 + 1/2002
=2002 - 1/2002 + 2003 - 1/2003 + 2 + 1/2002
=4007 - 1/2003
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