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一道数学题.2004年“我爱数学”少年夏令营的题.
1/3+1/5+1/7+1/9+1/11+1/33+1/35+1/45+1/55+1/77
人气:120 ℃ 时间:2020-01-27 19:57:20
解答
1/3+1/5+1/7+1/9+1/11+1/33+1/35+1/45+1/55+1/77 =1/3+1/5+1/7+1/9+1/11+1/(3*11)+1/(5*7)+1/(5*9)+1/(5*11)+1/(7*11)=1/3+1/5+1/7+1/9+1/11+(8/3-8/11)+(2/5-2/7)+(4/5-4/9)+(6/5-6/11)+(4/7-4/11)=(1/3+8/3) + (1/...
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