This paper achieves high-quality sharing of preschool educational resources among learners based on a matrix model. Through the shared resource matrix analysis method, the symmetry of the matrix about this educational resource is judged so that the resource can transmit information implicitly among all subjects. The difference between noise and preschool education resource data points is enhanced using the K-nearest neighbor search algorithm. Combined with the ant colony particle swarm optimization algorithm, the sharing sequence and time of the optimal preschool education resources are calculated, and a preschool education resource-sharing platform is constructed. To verify the applicability of the constructed platform, the simulation analysis results show that the resource search accuracy of the platform constructed in this paper reaches 94.51% on average, and the compatibility performance index is as high as 7.287vw, which is 3.25vw and 3.421vw higher compared to other platforms, respectively. The results show that the matrix model can eliminate resource heterogeneity and provide convenient and efficient interactive technical support for constructing a preschool education resource-sharing platform.