计算:-1/30-1/42-1/56-1/72-1/90

学习 时间:2026-06-04 16:16:35 阅读:2800
计算:-1/30-1/42-1/56-1/72-1/90重在过程!请求各位数学老师的帮助!

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2026-06-04 16:16:35

-1/30-1/42-1/56-1/72-1/90=-(1/30+1/42+1/56+1/72+1/90)=-[1/(5×6)+1/(6×7)+1/(7×8)+1/(8×9)+1/(9×10)]=-(1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10)=-(1/5-1/10)=-1/10

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  • 神勇的小海豚
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    2026-06-04 16:16:35

    -1/30-1/42-1/56-1/72-1/90=-(1/30+1/42+1/56+1/72+1/90)=-[1/(5×6)+1/(6×7)+1/(7×8)+1/(8×9)+1/(9×10)]=-(1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10)=-(1/5-1/10)=-1/10

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