1-1/2-1/3+1/4+1/5-1/6-1/7+1/8+1/9……-1/2006-1/2007+1/2008+1/2009-1/2010

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• 1-1/2-1/3+1/4+1/5-1/6-1/7+1/8+1/9……-1/2006-1/2007+1/2008+1/2009-1/2010
• 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9=1-1/9=8/9为什么呢?写出解析.
• 1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90=?1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90=1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10=1/2-1/10=2/5
• 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90=______1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90 ＝1/（1*2）+1/（2*3）+1/（3*4）+1/（4*5）+1/（5*6）+1/（6*7）+1/（7*8）+1/（8*9）+1/（9*10） ＝1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10 ＝1-1/10 ＝9/10本人已知道答案,不过还是不太懂,是啊...的确很难,直接用文字解释可以吗?本人只是刚上初中而已...
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