已知y+z分之x =a ,x+z分之y =b ,x+y分之z =c,试求a+1分之a + b+1分之b + c+1分之c 的值_其他解答

已知y+z分之x =a ,x+z分之y =b ,x+y分之z =c,试求a+1分之a + b+1分之b + c+1分之c 的值

人气：377 ℃　时间：2020-05-23 13:41:05

解答

因为：a/(a+1)=[x/(y+z)]/[(x+y+z)/(y+z)]=x/(x+y+z)b/(b+1)=[y/(x+z)]/[(x+y+z)/(x+z)]=y/(x+y+z)c/(c+1)=[z/(x+y)]/[(x+y+z)/(x+y)]=z/(x+y+z)所以a/(a+1)+b/(b+1)+c/(c+1)=x/(x+y+z)+y/(x+y+z)+z/(x+y+z)=(x+y+z)...