Analytical geometry was an important course in high school mathematics learning, and innovative teaching was the main direction of curriculum reform. Therefore, how to innovate in analytic geometry teaching was one of the important problems in high school mathematics teaching. Based on the teaching content and practice, and comparing with the teaching methods of analytic geometry in foreign countries, the key and difficult points of analytic geometry teaching in senior high school mathematics are clarified by studying the main contents of analytic geometry in senior high school and its teaching significance. On the premise of paying attention to the knowledge base, it is proposed that geometric intuition should be taught in combination with reasonable reasoning and deductive reasoning. On this basis, the geometric sketchpad should be fully utilized as a supplement, and mathematical stories should be appropriately interspersed to arouse students' interest.

Information technology, represented by "Internet + education", has become a hot topic in education. In view of the cultivation of interest in mathematics learning, it was proposed that traditional teaching methods should establish links with the Internet, paied attention to intelligence factors and non intelligence factors, emphasized the importance of cultivating non intelligence factors in Mathematics teaching. The strategies of stimulating students'interest in mathematics learning and improving students' mathematical literacy were given.

The core literacy of the six major mathematics is reflected. Two conclusions are drawn. A new formulation of mathematical core literacy is given. The new definition of core literacy is introduced. The relationship between two kinds of mathematical core literacy formulation is analyzed. Finally, two questions about the definition of the new mathematical core literacy are explained.

The main goal of mathematics teaching was to cultivate students 'core quality of mathematics, but it was difficult fo r teachers to change from three-dimensional goal to core goal of mathematics in actual classroom teaching. This article analyzed the mathematics teaching goals under threedimensional goals and core literacy, gived the integration of teaching goals under three-dimensional goals and core literacy, and gived the teaching design under core literacy with the example of "functional extremum and derivative". In the course of teaching, students 'core knowledge of mathematics can be better realized.