Abstract: Aiming at the common problems of students in the teaching of analytical mechanics, this paper starts with two typical physical problems (parachute problem and the double pendulum model), and presents the differences between the two mechanics in dealing with the same physical problem through the form of multi-solution and comparative learning. To guide students' thinking from classical Newtonian mechanics to analytical mechanics, so that they can be integrated into the study of analytical mechanics as soon as possible. At the same time, the appropriate numerical calculation is introduced in the teaching process to further deepen students' understanding of specific physical problems.

Key words: Newtonian mechanics, analytical mechanics, comparative learning, numerical results