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【1-(x-y)/(x-2y)/(x^2-y^2)/(x^2-4xy+4y^2)实数x,y满足|2x-y+1|+2根号下3x-2y+4=0化简求值】
题目内容:
1-(x-y)/(x-2y)/(x^2-y^2)/(x^2-4xy+4y^2)实数x,y满足|2x-y+1|+2根号下3x-2y+4=0化简求值优质解答
∵实数x,y满足|2x-y+1|+2根号下3x-2y+4=0
∴|2x-y+1|=0且2根号下3x-2y+4=0
∴
{2x-y+1=0
{3x-2y+4=0
∴x=2,y=5
故
1-(x-y)/(x-2y)/(x^2-y^2)/(x^2-4xy+4y^2)
=1-(-3)/(-8)/(-10)/64
=-7/5 - 追问:
- 要先化简再带入求值
优质解答
∴|2x-y+1|=0且2根号下3x-2y+4=0
∴
{2x-y+1=0
{3x-2y+4=0
∴x=2,y=5
故
1-(x-y)/(x-2y)/(x^2-y^2)/(x^2-4xy+4y^2)
=1-(-3)/(-8)/(-10)/64
=-7/5
- 追问:
- 要先化简再带入求值
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