Briefly describe your understanding of the goal of "exploring and mastering the formula of the distance between two points" in "Mathematics Curriculum Standard for Ordinary Senior High Schools" (experiment). Answer: "Exploration" is the target behavior verb of process and method, and "mastery" is the target behavior verb of knowledge and skills. The goal of "exploring and mastering the formula of the distance between two points" requires students not only to remember the content of the formula, but also to master the derivation process of the formula, to contact the internal relationship between knowledge and problems, to understand mathematical ideas, and to provide necessary mathematical preparations for further study. Exploring and mastering the distance formula between two points is helpful for students to understand the internal relationship between mathematics contents. The formula of the distance between two points is one of the main contents of middle school mathematics learning and occupies an important position in high school mathematics. In the process of exploring the distance formula between two points, we need the knowledge of number axis, rectangular coordinate system, right triangle and Pythagorean theorem. The distance formula between two points is the simplest distance in geometry. The calculation of the distance from a point to a straight line, the distance between two parallel straight lines, the distance between two parallel planes and the length of the common perpendicular of a straight line on different planes can all be summed up as the distance between two points. By exploring and mastering the learning process of the distance formula between two points, students can better understand and recognize the internal relations of these knowledge points, which is very helpful for students to build a knowledge system and enhance their confidence in learning mathematics. Exploring and mastering the distance formula between two points is helpful for students to understand the idea of combining numbers with shapes and form a correct mathematical view. Explore the distance formula between two points and experience the process of several algebraic problems, and describe the geometric characteristics and their relationships with algebraic language. The distance formula between two points is an important bridge and tool to transform geometric problems into algebraic problems. Using distance formula to analyze the geometric meaning of algebraic results is also helpful to solve geometric problems finally. Guiding students to experience such a process of combining numbers and shapes is very beneficial to developing students' reasoning ability.