针对平面运动学相关问题，采用复函数平面代替传统的Oxy坐标系的实数平面并引入以复指数形式表达的欧拉公式，进行描述和分析，避免了传统的实数平面矢量分析中点积和叉积运算规则所带来的困惑以及繁琐的矢量分析. 并引入了瞬时坐标系，其结论与经典理论完全一致. 

 In this paper，the complex function plane is used to replace the real plane of the 
traditional Oxy co- ordinate system，and Euler＇s formula expressed in the form of complex 
exponential is also introduced here to de- scribe and analyze the plane kinematics problem． 
Thus，the confusion and the tedious vector analysis caused by the operation rules of point product 
and cross product in the traditional real plane are avoided． The instantaneous coor- dinate system 
is introduced，and the conclusion is completely consistent with the classical theory．