(1+1/2+1/3)*(1/2+1/3+1/4)-(1+1/2+1/3+1/4)*(1/2+1/3)的简便方法,最...
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发布时间:2024-10-21 22:37
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热心网友
时间:2024-11-16 00:12
拆一下就秒杀了
(1+1/2+1/3)*(1/2+1/3+1/4)-(1+1/2+1/3+1/4)*(1/2+1/3)
=1*(1/2+1/3+1/4)+(1/2+1/3)*(1/2+1/3+1/4) - [1*(1/2+1/3)+(1/2+1/3+1/4)*(1/2+1/3)]
=(1/2+1/3+1/4)-(1/2+1/3)+(1/2+1/3)*(1/2+1/3+1/4)-(1/2+1/3+1/4)*(1/2+1/3)
=1/4