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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. Keywords—Innovative teaching; Plane analytic geometry; Plausible reasoning; Deductive reasoning; Geometer’s Sketchpad

Inquiry into Mathematics Teaching in Senior High School —Taking "Planar Analytic Geometry" as an Example