已知M=2xy/x^2-y^2,N=x^2+y^2/x^2-y^2,
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已知M=2xy/x^2-y^2,N=x^2+y^2/x^2-y^2,
用“+”或“—”连接M,N,有三种不同形式:M+N.M-N,N-M,请你任选其中一种进行计算,并化简求值,其中x:y=5:2
用“+”或“—”连接M,N,有三种不同形式:M+N.M-N,N-M,请你任选其中一种进行计算,并化简求值,其中x:y=5:2
x:y=5:2
所以y=2x/5
M+N
=2xy/(x^2-y^2)+(x^2+y^2)/(x^2-y^2)
=(x^2+2xy+y^2)/(x^2-y^2)
=(x+y)^2/(x+y)(x-y)
=(x+y)/(x-y)
=(x+2x/5)/(x-2x/5)
=(7x/5)/(3x/5)
=7/3
再问: 其他两个也算一下
再答: 另两个重新问
再问: 其他两个也算一下,我个你加分
再答: N-M =(x^2+y^2)/(x^2-y^2)-2xy/(x^2-y^2) =(x^2-2xy+y^2)/(x^2-y^2) =(x-y)^2/(x+y)(x-y) =(x-y)/(x+y) =(x-2x/5)/(x+2x/5) =(3x/5)/(7x/5) =3/7 M-N=-(N-M)=-3/7
所以y=2x/5
M+N
=2xy/(x^2-y^2)+(x^2+y^2)/(x^2-y^2)
=(x^2+2xy+y^2)/(x^2-y^2)
=(x+y)^2/(x+y)(x-y)
=(x+y)/(x-y)
=(x+2x/5)/(x-2x/5)
=(7x/5)/(3x/5)
=7/3
再问: 其他两个也算一下
再答: 另两个重新问
再问: 其他两个也算一下,我个你加分
再答: N-M =(x^2+y^2)/(x^2-y^2)-2xy/(x^2-y^2) =(x^2-2xy+y^2)/(x^2-y^2) =(x-y)^2/(x+y)(x-y) =(x-y)/(x+y) =(x-2x/5)/(x+2x/5) =(3x/5)/(7x/5) =3/7 M-N=-(N-M)=-3/7
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