①已知1/x-1/y=3,求5x+xy-5y/x-xy-y的值.②已知m>n>0,m^2+n^2=4mn,求m^2-n^2/mn的值.(请把这两道分式题的推算过程写详细些,)
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![①已知1/x-1/y=3,求5x+xy-5y/x-xy-y的值.②已知m>n>0,m^2+n^2=4mn,求m^2-n^2/mn的值.(请把这两道分式题的推算过程写详细些,)](/uploads/image/z/10253572-52-2.jpg?t=%E2%91%A0%E5%B7%B2%E7%9F%A51%2Fx-1%2Fy%3D3%2C%E6%B1%825x%2Bxy-5y%2Fx-xy-y%E7%9A%84%E5%80%BC.%E2%91%A1%E5%B7%B2%E7%9F%A5m%EF%BC%9En%EF%BC%9E0%2Cm%5E2%2Bn%5E2%3D4mn%2C%E6%B1%82m%5E2-n%5E2%2Fmn%E7%9A%84%E5%80%BC.%EF%BC%88%E8%AF%B7%E6%8A%8A%E8%BF%99%E4%B8%A4%E9%81%93%E5%88%86%E5%BC%8F%E9%A2%98%E7%9A%84%E6%8E%A8%E7%AE%97%E8%BF%87%E7%A8%8B%E5%86%99%E8%AF%A6%E7%BB%86%E4%BA%9B%2C%EF%BC%89)
①已知1/x-1/y=3,求5x+xy-5y/x-xy-y的值.②已知m>n>0,m^2+n^2=4mn,求m^2-n^2/mn的值.(请把这两道分式题的推算过程写详细些,)
①已知1/x-1/y=3,求5x+xy-5y/x-xy-y的值.
②已知m>n>0,m^2+n^2=4mn,求m^2-n^2/mn的值.(请把这两道分式题的推算过程写详细些,)
①已知1/x-1/y=3,求5x+xy-5y/x-xy-y的值.②已知m>n>0,m^2+n^2=4mn,求m^2-n^2/mn的值.(请把这两道分式题的推算过程写详细些,)
∵1/x-1/y=3
∴y-x=3xy
(5x+xy-5y)/(x-xy-y)=(5x-5y+xy)/(x-y-xy)=(-15xy+xy)/(-3xy-xy)=3.5
∵m²+n²=4mn
∴m²+n²-2mn=2mn
∴(m-n)²=2mn
又∵m>n>0
∴m-n=√(2mn)
∵m²+n²=4mn
∴m²+n²+2mn=6mn
∴(m+n)²=6mn
又∵m>n>0
∴m+n=√(6mn)
∴(m²-n²)/mn=(m+n)(m-n)/mn=2√3
累死我了,请求加分!
(1)5x+xy-5y/x-xy-y
=(5/y-5/x+1)/(1/y-1/x-1)
=(1-15)/(-3-1)
=7/2;
(2)m²+n²-2mn=2mn;
(m-n)²=2mn;
(m+n)²=6mn;
(m²-n²)/mn=√(6mn)(2mn)/mn=2√3;
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