已知|x|=2,|y|=3,|x+y|=-(x+y)求x-y
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已知|x|=2,|y|=3,|x+y|=-(x+y)求x-y已知|x|=2,|y|=3,|x+y|=-(x+y)求x-y已知|x|=2,|y|=3,|x+y|=-(x+y)求x-y∵|x|=2,|y|
已知|x|=2,|y|=3,|x+y|=-(x+y)求x-y
已知|x|=2,|y|=3,|x+y|=-(x+y)求x-y
已知|x|=2,|y|=3,|x+y|=-(x+y)求x-y
∵|x|=2,|y|=3
∴x=±2 y=±3
∵,|x+y|=-(x+y)
∴x+y≤0
∴x=±2 y=-3
∴x-y=2-(-3)=5或者-2-(-3)=1
|x+y|=-(x+y)
所以x+y<0
|x|=2,|y|=3
所以x=2或-2,y=3或-3
当x=2,y=-3时,x+y<0,x-y=2+3=5
当x=-2,y=-3时,x+y<0,x-y=-2+3=1
所以x-y=1或5.
因为,|x+y|=-(x+y)≥0,所以x+y≤0,所以x=-2,y=-3所以x-y=-2+3=1或x=2,y=-3,此时x-y=2+3=5
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