已知:(m+p-n)/(n+p-m)=n/(m+n)=(m+n+p)/(2m+n+2p)求:(m+n):(m+p):(p+n)值
热心网友
算得比较复杂，先给你答案：(m+n):(m+p):(p+n)=5:6:7步骤如下：(m+p-n)/(n+p-m)=n/(m+n)=(m+n+p)/(2m+n+2p) 得(m+p-n)/(2n-2m)=n/m=(m+n+p)/(m+p)令k=n/m,n=km由(m+p-n)/(2n-2m)=n/m(m+p-km)/(2km-2m)=k(m+p)=(2k-1)km 由n/m=(m+n+p)/(m+p)k=1+n/(m+p)=1+km/(m+p)(m+p)=km/(k-1) /得1=(2k-1)(k-1)=2k^2-3k+1k(2k-3)=0k≠0所以k=1.5所以n=1.5m由p=2m所以(m+n):(m+p):(p+n)=(m+1.5m):(m+2m):(2m+1.5m)=5:6:7
热心网友
有点难度,明天给你答案吧,今天没时间了