This paper establishes a mathematical model of basketball sports based on an ADDIE model. This paper takes basketball players’ pitching as the research object. Then use the ADDIE model method to analyze the best angle of the goal to improve the accuracy of basketball throwing. Firstly, this paper establishes the dynamic model of basketball movement and then shows the equation of basketball movement trajectory. Then this paper uses the ADDIE model to optimize and solve the best angle of basketball. At the same time, this paper proposes a motion control of basketball rotation motion using adaptive trajectory correction technology. Finally, this paper analyzes the optimal angle of a basketball's rotation projection. The numerical simulation proves that it is feasible to use the ADDIE model to solve the optimal angle of the basketball's rotating body. The method proposed in this paper achieves good results in angle correction and trajectory tracking. This method has a good application prospect in establishing the rotational projection motion model of sports tourism basketball.