化简(1×2)/1+(2×3)/1+……+(9×10)/1
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![化简(1×2)/1+(2×3)/1+……+(9×10)/1](/uploads/image/z/956285-53-5.jpg?t=%E5%8C%96%E7%AE%80%EF%BC%881%C3%972%EF%BC%89%2F1%2B%EF%BC%882%C3%973%EF%BC%89%2F1%2B%E2%80%A6%E2%80%A6%2B%EF%BC%889%C3%9710%EF%BC%89%2F1)
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化简(1×2)/1+(2×3)/1+……+(9×10)/1
化简(1×2)/1+(2×3)/1+……+(9×10)/1
化简(1×2)/1+(2×3)/1+……+(9×10)/1
(1×2)/1+(2×3)/1+……+(9×10)/1
=1-1/2+1/2-1/3+.1/9-1/10
=1-1/10
=9/10