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  (x+y)+(2x+1/1*2y)+(3x+1/2*3y)+.+(9x+1/8*9y)当X=2,Y=9时,求代数式的值

  (x+y)+(2x+1/1*2y)+(3x+1/2*3y)+.+(9x+1/8*9y)当X=2,Y=9时,求代数式的值

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2020-12-1103:34
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彭蓉

  (x+y)+(2x+1/1*2y)+(3x+1/2*3y)+.+(9x+1/8*9y)

  =x(1+2+3+...9)+y{1+1/(1*2)+1/(2*3)+1/(3*4)+...1/(8*9)}

  =x(1+9)*9/2+y{1+1-1/2+1/2-1/3+1/3-1/4+...1/8-1/9)}

  =45x+y(2-1/9)

  =45x+2y-y/9

  =45*2+2*9-9/9

  =90+18-1

  =107

2020-12-11 03:39:23
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