Advances in International Applied Mathematics

Most value problems are often examined as a key content in junior high school mathematics, and students can not only consolidate the relevant knowledge and improve the problem solving skills in the process of exploring the most value problems, but also understand the important ideological methods. The problem of line segment maximum value is often solved by translating, folding, rotating, similarity and other methods into "the shortest line segment between two points", "the shortest perpendicular line segment" and other principles. This paper takes the 2010-2020 Jiangsu midterm questions as an example to explore the general drinking horse problem model, and systematically sums up that when encountering different situations, different means are used to transform into a general general drinking horse model [1], which mainly involves two fixed one-acting type, two fixed two-acting type, and three-acting type in the quadrilateral, parabola, semicircle, and triangle situations. No matter how the topic is changed, mastering the method and idea of making symmetry points will be able to solve the problem easily.

General Drinking Horse; Axial symmetry; Line segments and shortest