已知M=2xy/x^2-y^2,N=x^2+y^2/x^2-y^2,
问题描述:
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=1:3
答
x:y=1:3所以y=3xM+N=2xy/(x²-y²)+(x²+y²)/(x²-y²)=(2xy+x²+y²)/(x²-y²)=(x+y)²/(x+y)9x-y)=(x+y)/(x-y)=(x+3x)/(x-3x)=4x/(-2x)=-2