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化简:(x+y)+(2x+y/1*2)+(3x+y/2*3)+...+(9x+y/8*9)
2011-12-06
展开全部
解:原式=X+2X+……+9X+Y+Y/1×2+Y/2×3+……+Y/8×9
=(1+9)×9X÷2+Y+Y-1/2Y+1/2Y-1/3Y+……+1/8Y-1/9Y
=45X+17/9Y
当X=2 Y=9时原式=107
=(1+9)×9X÷2+Y+Y-1/2Y+1/2Y-1/3Y+……+1/8Y-1/9Y
=45X+17/9Y
当X=2 Y=9时原式=107
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