The Big Dream Cup is a junior high school mathematics competition in Fujian Province jointly organized by the Mathematics Teaching Committee of the Provincial Education Association and the Provincial Mathematics Association, and has been held for many times. The Big Dream Cup is based on the Mathematics Teaching Syllabus for Nine-year Compulsory Education Junior High School and the Mathematics Curriculum Standard for Compulsory Education, and focuses on examining students' ability to understand and apply mathematics knowledge. In short, the big dream cup examines the knowledge points in junior high school for three years, not exceeding the outline and not in advance. Uncle has studied the real questions of several dream cups. The difficulty of the Dream Cup is similar to that of the previous junior high school league (it has been suspended at present). Previously, the proposition of junior high school league adhered to the principle of "popularization, popularization, not exceeding the outline and not being ahead", and the topic was also the knowledge point of junior high school, but it focused on students' computing ability, logical thinking ability and spatial imagination ability, which was also the difficulty of its topic. Junior high school league focuses on cultivating students to gradually learn important thinking methods such as analysis, synthesis, induction, deduction, generalization, abstraction and analogy. This paper mainly investigates abstracting mathematical problems from the actual background and constructing mathematical models. The process of seeking results and solving problems highlights the educational function of mathematics.