The paper aims to summarize the characteristics of mainstream drawing methods and provide references for optimizing the character face design of picture books by analyzing the visual cognitive characteristics of different drawing methods of preschool children. The eye movement data of the subjects when processing the character faces in different drawing methods is recorded and analyzed, the eye movement indicators are filtered, the fuzzy analytic hierarchy process is combined to refine the drawing book design guidelines, and a hierarchical structure model is built. The fuzzy matrix is used to calculate the level weight, and the weight value of each level criterion is obtained. The three design criteria for the character faces of the electronic picture book are refined, nine eye movement indicators are introduced as sub-criteria evaluation coefficients into the hierarchical model, and weight calculations are performed to learn the child's preference order for the drawing methods in the design criteria, and obtain guidance and attractiveness. The ranking results are the same, but the memorability ranking is completely opposite, and then a picture book character design method based on guidance, memorability, and attractiveness is summarized. Based on the analytic hierarchy process, the study on the role and face of the electronic picture book for preschool children analyzes the children's visual processing characteristics of different drawing methods with objective weights, and summarizes the interaction between the drawing method and the children's picture book reading efficiency and reading interest in the three design guidelines. The influence provides a certain reference value for the subsequent design of thematic picture books, so as to realize the educational function of picture books for preschool children.