Linear programming is a widely applicable mathematical operation method. In this paper, two solutions of linearprogramming and state parameter extraction can be used to simplify the inequality group and transfer the high-dimensional state utility function in football. This can speed up the generation of joint strategies for football teams in thegame. This paper uses the free-kick technical football cooperation as an example to conduct an empirical study on thelinear programming method of state parameters. In this paper, combined with the traditional motion information modelingmethod, a free ball path planning based on the linear programming gradient method is established. At the same time, thispaper adopts an asymptotic method based on linear programming to solve the trajectory of any football. Finally, anexperimental study on the linear programming gradient method for state feature vectorization is carried out. Experimentsverify the effectiveness of this method. The mathematical model accurately predicts the linear programming of footballtraining
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