请你在数列-1/2.-1/3.-1/4.-1/90.-1/91中选十个数使它们的和为-1.写出计算过程
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请你在数列-1/2.-1/3.-1/4.-1/90.-1/91中选十个数使它们的和为-1.写出计算过程
请你在数列-1/2.-1/3.-1/4.-1/90.-1/91中选十个数使它们的和为-1.写出计算过程
请你在数列-1/2.-1/3.-1/4.-1/90.-1/91中选十个数使它们的和为-1.写出计算过程
我写出正数形式【你全部添负号即可】
1=1/2+1/3+1/6【这是思路,每个数都继续往下拆分】
1/2=1/4+1/4
1/4=1/8+1/8,1/4=1/5+1/20
1/8=1/10+1/40
于是1/2=1/5+1/8+1/10+1/20+1/40
1/3=1/4+1/12
1/12=1/15+1/60
于是1/3=1/4+1/15+1/60
1/6=1/9+1/27
于是1=1/4+1/5+1/8+1/9+1/10+1/15+1/20+1/27+1/40+1/60
【拆分技巧,例如1/6,可能拆分为1/7+1/x,1/8+1/x,1/9+1/x,1/10+1/x,1/11+1/x,1/12+1/x后面不用继续写了,重复了,试探得1/6=1/9+1/27或1/12+1/12】