总述：本次共解1题。其中
           ☆算术计算1题

〖1/1算式〗
    作业：求算式 1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)+1/(7*8)+1/(8*9)+1/(9*10) 的值.
    题型：数学计算
    解:
          1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)+1/(7*8)+1/(8*9)+1/(9*10)
        =1/2+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)+1/(7*8)+1/(8*9)+1/(9*10)
        =1/2+1/6+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)+1/(7*8)+1/(8*9)+1/(9*10)
        =1/2+1/6+1/12+1/(4*5)+1/(5*6)+1/(6*7)+1/(7*8)+1/(8*9)+1/(9*10)
        =1/2+1/6+1/12+1/20+1/(5*6)+1/(6*7)+1/(7*8)+1/(8*9)+1/(9*10)
        =1/2+1/6+1/12+1/20+1/30+1/(6*7)+1/(7*8)+1/(8*9)+1/(9*10)
        =1/2+1/6+1/12+1/20+1/30+1/42+1/(7*8)+1/(8*9)+1/(9*10)
        =1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/(8*9)+1/(9*10)
        =1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/(9*10)
        =1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90
        =0.5+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90
        =0.5+0.166667+1/12+1/20+1/30+1/42+1/56+1/72+1/90
        =0.5+0.166667+0.083333+1/20+1/30+1/42+1/56+1/72+1/90
        =0.5+0.166667+0.083333+0.05+1/30+1/42+1/56+1/72+1/90
        =0.5+0.166667+0.083333+0.05+0.033333+1/42+1/56+1/72+1/90
        =0.5+0.166667+0.083333+0.05+0.033333+0.02381+1/56+1/72+1/90
        =0.5+0.166667+0.083333+0.05+0.033333+0.02381+0.017857+1/72+1/90
        =0.5+0.166667+0.083333+0.05+0.033333+0.02381+0.017857+0.013889+1/90
        =0.5+0.166667+0.083333+0.05+0.033333+0.02381+0.017857+0.013889+0.011111
        =0.666667+0.083333+0.05+0.033333+0.02381+0.017857+0.013889+0.011111
        =0.75+0.05+0.033333+0.02381+0.017857+0.013889+0.011111
        =0.8+0.033333+0.02381+0.017857+0.013889+0.011111
        =0.833333+0.02381+0.017857+0.013889+0.011111
        =0.857143+0.017857+0.013889+0.011111
        =0.875+0.013889+0.011111
        =0.888889+0.011111
        =0.9
    答案:1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)+1/(7*8)+1/(8*9)+1/(9*10)=0.9

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