记两直线的倾角分别是 A 和 B ,(题中“k1-k2/k1+k2”不是定值,要改为“(k1-k2)/(1+k1·k2)”)
则有:tanA = k1 ,tanB = k2 ;
可得:tan(A-B) = (tanA-tanB)/(1+tanA·tanB) = (k1-k2)/(1+k1·k2) .
若 A > B ,则有:A-B = arctan2 ,可得:tan(A-B) = 2 ,即有:(k1-k2)/(1+k1·k2) = 2 ;
若 A < B ,则有:A-B = -arctan2 ,可得:tan(A-B) = -2 ,即有:(k1-k2)/(1+k1·k2) = -2 ;
所以,(k1-k2)/(1+k1·k2) 的绝对值是 2 .
