若x y互为相反数,则x+2x+3x.+100x+100y+99y+98y+...y的值为多少?

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若x y互为相反数,则x+2x+3x.+100x+100y+99y+98y+...y的值为多少?
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若x y互为相反数,则x+2x+3x.+100x+100y+99y+98y+...y的值为多少?
若x y互为相反数,则x+2x+3x.+100x+100y+99y+98y+...y的值为多少?

若x y互为相反数,则x+2x+3x.+100x+100y+99y+98y+...y的值为多少?
x+2x+3x.+100x+100y+99y+98y+...y=(x+y)+2(x+y)+3(x+y)+-------+100(x+y)=0

原式=(X+Y)+(2X+2Y)+(3X+3Y)+...+(100X+100Y)
=(1+2+3+...+100)(X+Y)
=0

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

x+y=0所以100x+100y=0 99x+99y=0以此类推 所以原试为0

值为0,因为
若x y互为相反数,则x+y=0,同理,2x+2y=0,3x+3y=0,……,100x+100y=0,那么它们之和就也为0。