数学题(x-y)/(y-z),(y-z)/(z-x),(z-x)/(x-y)已知有理数X,Y,Z两两不相等,则(x-y)/(y-z),(y-z)/(z-x),(z-x)/(x-y)中负数的个数是()A.1个 B.2个 C.3个 D.0个或2个

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数学题(x-y)/(y-z),(y-z)/(z-x),(z-x)/(x-y)已知有理数X,Y,Z两两不相等,则(x-y)/(y-z),(y-z)/(z-x),(z-x)/(x-y)中负数的个数是()A

数学题(x-y)/(y-z),(y-z)/(z-x),(z-x)/(x-y)已知有理数X,Y,Z两两不相等,则(x-y)/(y-z),(y-z)/(z-x),(z-x)/(x-y)中负数的个数是()A.1个 B.2个 C.3个 D.0个或2个
数学题(x-y)/(y-z),(y-z)/(z-x),(z-x)/(x-y)
已知有理数X,Y,Z两两不相等,则(x-y)/(y-z),(y-z)/(z-x),(z-x)/(x-y)中负数的个数是()
A.1个 B.2个 C.3个 D.0个或2个

数学题(x-y)/(y-z),(y-z)/(z-x),(z-x)/(x-y)已知有理数X,Y,Z两两不相等,则(x-y)/(y-z),(y-z)/(z-x),(z-x)/(x-y)中负数的个数是()A.1个 B.2个 C.3个 D.0个或2个
选B.三个相乘等于一,负数只能为偶数个.若三个全是正数,由第一个(x-y)/(y-z)>0,可得x>y>z或x

B

由于XYZ轮换对称
不妨设X>Y>Z
易知 个数2

2个

2个