若x、y互为相反数,则x+2x+3x+...100x+100y+99y+98y+...+y

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若x、y互为相反数,则x+2x+3x+...100x+100y+99y+98y+...+y
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若x、y互为相反数,则x+2x+3x+...100x+100y+99y+98y+...+y
若x、y互为相反数,则x+2x+3x+...100x+100y+99y+98y+...+y

若x、y互为相反数,则x+2x+3x+...100x+100y+99y+98y+...+y
即x+y=0
所以原式=(x+y)+2(x+y)+……+99(x+y)+100(x+y)
=0+0+……+0+0
=0

0

x,y互为相反数,则x=-y
x+2x+3x+...100x+100y+99y+98y+...+y=-(y+2y+3y+...+100y)+100y+99y+98y+...+y=0