计算:-1/30-1/42-1/56-1/72-1/90

学习 时间:2026-04-03 08:14:37 阅读:466
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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雪白的水蜜桃

欣喜的丝袜

2026-04-03 08:14:37

-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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  • 不安的魔镜
    回复
    2026-04-03 08:14:37

    -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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