这个题怎么做?
1个回答
2017-08-31
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(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)
=(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4)*(1/2+1/3+1/4)-(1/5)*(1/2+1/3+1/4)
=(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5-1/2-1/3-1/4)-(1/5)*(1/2+1/3+1/4)
=1/5*(1+1/2+1/3+1/4)-(1/5)*(1/2+1/3+1/4)
=1/5*(1+1/2+1/3+1/4-1/2-1/3-1/4)
=1/5
思路应该没问题
过程你自己看看,数太多了。
=(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4)*(1/2+1/3+1/4)-(1/5)*(1/2+1/3+1/4)
=(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5-1/2-1/3-1/4)-(1/5)*(1/2+1/3+1/4)
=1/5*(1+1/2+1/3+1/4)-(1/5)*(1/2+1/3+1/4)
=1/5*(1+1/2+1/3+1/4-1/2-1/3-1/4)
=1/5
思路应该没问题
过程你自己看看,数太多了。
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