1\2,1\3,1\4,1\5,.1\90.1\91中挑出10个数,加上正负号,使它们的和为-1

问题描述:

1\2,1\3,1\4,1\5,.1\90.1\91中挑出10个数,加上正负号,使它们的和为-1

-1=-1/5-1/6-1/8-1/9-1/10-1/12-1/15-1/18-1/20-1/24 1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10=1-1/10 所以:1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/10=1 即:-...