Abstract: The indexes and values of the system will be obtained by quantitative analysis based on the data and model, and the nature, characteristics and change rules of the system will be judged by qualitative analysis based on intuition and experience. The premise of quantitative analysis is sufficient data and definite model, while qualitative analysis is suitable for the situation when the data is insufficient or the model is unclear. From the perspective of qualitative and quantitative analysis, this paper introduces the distance of the relative to vertical deviation of falling body, and how to draw four-leaf rose line, and the principle and design of a tilted container in ancient China. The preliminary results of these problems can be obtained by using the method of qualitative analysis, then the details information of these problems can be known by using the method of quantitative calculation, to make students to realize the complex problems can be solved simply and skillfully by the combination of qualitative and quantitative analysis.