简便计算若当天解答追加100悬赏
来源:学生作业帮 编辑:搜搜考试网作业帮 分类:数学作业 时间:2024/07/28 07:55:10
简便计算若当天解答追加100悬赏
(1-2分之1-3分之1-4分之1-5分之1)(2分之1+3分之1+4分之1+5分之1+6分之1)-(1-2分之-3分之1-4分之1-5分之1-6分之1)(2分之1+3分之1+4分之1+5分之1)
(1-2分之1-3分之1-4分之1-5分之1)(2分之1+3分之1+4分之1+5分之1+6分之1)-(1-2分之-3分之1-4分之1-5分之1-6分之1)(2分之1+3分之1+4分之1+5分之1)
![简便计算若当天解答追加100悬赏](/uploads/image/z/18499032-0-2.jpg?t=%E7%AE%80%E4%BE%BF%E8%AE%A1%E7%AE%97%E8%8B%A5%E5%BD%93%E5%A4%A9%E8%A7%A3%E7%AD%94%E8%BF%BD%E5%8A%A0100%E6%82%AC%E8%B5%8F)
原式=(1-1/2-1/3-1/4-1/5)*(1/2+1/3+1/4+1/5) + (1-1/2-1/3-1/4-1/5)*1/6 - [(1-1/2-1/3-1/4-1/5)*(1/2+1/3+1/4+1/5) -(1/2+1/3+1/4+1/5) /6]
=(1-1/2-1/3-1/4-1/5)*(1/2+1/3+1/4+1/5) + (1-1/2-1/3-1/4-1/5)*1/6 - (1-1/2-1/3-1/4-1/5)*(1/2+1/3+1/4+1/5) + (1/2+1/3+1/4+1/5) /6
=[(1-1/2-1/3-1/4-1/5)+(1/2+1/3+1/4+1/5)] /6
=1/6
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答2
令a = 1-1/2-1/3-1/4-1/5,b=1/2+1/3+1/4+1/5
则原式=a*(b+1/6) -(a-1/6)b
=a*b + a/6 -ab+b/6
=(a+b)/6
=1/6
=(1-1/2-1/3-1/4-1/5)*(1/2+1/3+1/4+1/5) + (1-1/2-1/3-1/4-1/5)*1/6 - (1-1/2-1/3-1/4-1/5)*(1/2+1/3+1/4+1/5) + (1/2+1/3+1/4+1/5) /6
=[(1-1/2-1/3-1/4-1/5)+(1/2+1/3+1/4+1/5)] /6
=1/6
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答2
令a = 1-1/2-1/3-1/4-1/5,b=1/2+1/3+1/4+1/5
则原式=a*(b+1/6) -(a-1/6)b
=a*b + a/6 -ab+b/6
=(a+b)/6
=1/6