难啊!!!奥数题!二乘四分之一+四乘六分之一+六乘八分之一+……+四十八乘五十分之一

2025-03-16 12:16:03
推荐回答(5个)
回答1:

二乘四分之一+四乘六分之一+六乘八分之一+……+四十八乘五十分之一
=1/2×(1/2-1/4+1/4-1/6+...+1/46-1/48+1/50)
=1/2×(1/2-1/50)
=12/50
一又三分之一 -十二分之七+二十分之九-三十分之十一+四十二分之十三-五十六分之十五
=1+1/3-1/3-1/4+1/4+1/5-1/5-1/6+1/6+1/7-1/7-1/8
=1-1/8
=7/8

回答2:

2*1/4+4*1/6+。。。48*1/50
=1-2/4+1-2/6+。。。+1-2/50
=24-(1/2+1/3+。。。+1/25)

4/3-7/12+9/20-11/30+13/42-15/56
=4/3-1/3-1/4+1/4+1/5-1/5-1/6+1/6+1/7-1/7-1/8
=1-1/8
=7/8

回答3:

第一题:n×(n+2)分之1=1/2n-1/2(n+2),每个都这样分开后,会有很多都为相反的,可以消去,最后为1/2-1/50=0.48
第二题:第一项可分解为1/1+1/2,第二项可分为-(1/3+1/4),第三项可分为(1/4+1/5),以此类推,最后为1/1+1/2-1/3-1/8=25/24

回答4:

第一题各项都在被乘数上加二减二就得到了四成四分之一减去二乘四分之一,以此类推,整理得到24-2*(1/4+1/6+...+1/50)=24-(1/2+1/3+1/4+...+1/25)

回答5:

第一题各项都在被乘数上加二减二就得到了四成四分之一减去二乘四分之一,以此类推,整理得到24-2*(1/4+1/6+...+1/50)=24-(1/2+1/3+1/4+...+1/25) ,这样就算出了答案

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