Generally speaking, theoretical mechanics needs mathematical plane and spatial analytic geometry as its theoretical basis, regardless of statics, kinematics and dynamics. There are also differences between the two. Mathematics studies free vectors, while the vectors studied in physics are mostly related to the starting point. The derivation and final situation of many theorems in theoretical mechanics include summation, derivation, differentiation, indefinite integral and definite integral in mathematics. Establishing coordinate system is the most direct tool to solve theoretical mechanics problems. For example, when studying kinematics, we often need to establish a coordinate system, get its motion trajectory equation by analytical methods (such as rectangular coordinates and circular coordinates), and then further study its velocity and acceleration by derivation, and sometimes get its motion equation by reverse integration. When studying momentum problems in dynamics, such as momentum theorem, we also need to use a lot of knowledge of higher-order differential equations to obtain unknown quantities to be solved. So we must learn math well.