1乘3分之一加3乘5分之1加5乘7分之1.具体的看补充.简便算法1 1 1 1------ + ------ + ------ + .+ ----------------=__________1×3 3×5 5×7 2011×2013麻烦讲清楚一点!
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/12 01:26:39
![1乘3分之一加3乘5分之1加5乘7分之1.具体的看补充.简便算法1 1 1 1------ + ------ + ------ + .+ ----------------=__________1×3 3×5 5×7 2011×2013麻烦讲清楚一点!](/uploads/image/z/33261-69-1.jpg?t=1%E4%B9%983%E5%88%86%E4%B9%8B%E4%B8%80%E5%8A%A03%E4%B9%985%E5%88%86%E4%B9%8B1%E5%8A%A05%E4%B9%987%E5%88%86%E4%B9%8B1.%E5%85%B7%E4%BD%93%E7%9A%84%E7%9C%8B%E8%A1%A5%E5%85%85.%E7%AE%80%E4%BE%BF%E7%AE%97%E6%B3%951+1+1+1------+%2B+------+%2B+------+%2B+.%2B+----------------%3D__________1%C3%973+3%C3%975+5%C3%977+2011%C3%972013%E9%BA%BB%E7%83%A6%E8%AE%B2%E6%B8%85%E6%A5%9A%E4%B8%80%E7%82%B9%21)
1乘3分之一加3乘5分之1加5乘7分之1.具体的看补充.简便算法1 1 1 1------ + ------ + ------ + .+ ----------------=__________1×3 3×5 5×7 2011×2013麻烦讲清楚一点!
1乘3分之一加3乘5分之1加5乘7分之1.具体的看补充.简便算法
1 1 1 1
------ + ------ + ------ + .+ ----------------=__________
1×3 3×5 5×7 2011×2013
麻烦讲清楚一点!
1乘3分之一加3乘5分之1加5乘7分之1.具体的看补充.简便算法1 1 1 1------ + ------ + ------ + .+ ----------------=__________1×3 3×5 5×7 2011×2013麻烦讲清楚一点!
拆数法知道吗.答案是(1-2013分之一)乘2分之1.(1-1/3+1/3-1/5...+1/2012-1/2013)×1/2就是(1-1/2013)×1/2=1006/2013
就请给个采纳吧.
不明白加Q974852550
把每个分式都拆开来变成1 1 1 1 1 1 1 1 1 1
---×---+---×---+---×.---+....+------×------- + ------×------ 是不是看出规律来
...
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把每个分式都拆开来变成1 1 1 1 1 1 1 1 1 1
---×---+---×---+---×.---+....+------×------- + ------×------ 是不是看出规律来
1 3 3 5 5 7 2009 2011 2011 2013
了,然后提取公因式
收起
原式可以变为:1/2(1-1/3+1/3-1/5+1/5-1/7+1/7+...+1/2011-1/2013)
=1/2(1-1/2013)
=1/2*2012/2013
=1006/2013
如果对了,支持我一下。谢谢。
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