利用复数解平面轨迹问题,有直接法、代入法、中间变量法等。利用复数计算,有时较采用相应的解析几何方法为简便。 1.直接法如果从动点的运动规律容易直接找出z所适合的方程f(z)=0,则这个方程就是动点P的轨迹方程。一般说来,从f(z)=0可以看出它是怎样的曲线,但有时尚需通过从这方程里去寻 The problem of using complex solutions to plane trajectories includes direct methods, substitution methods, and intermediate variable methods. With complex numbers, it is sometimes more convenient to use a corresponding analytical geometry method. 1. Direct method If the motion law of the passive point is easy to directly find out the equation f(z)=0 which is suitable for z, then this equation is the trajectory equation of the moving point P. Generally speaking, it can be seen from f(z)=0 what kind of curve it is, but there are fashions that need to be found from this equation.