Some Properties Of Hyperbolic Asymptotes

Conic section is one of the important knowledge in high school mathematics, and it is also the difficulty in College Entrance Examination. The importance of the hyperbolic is self-evident.Based on the Conics, this study transformed Apollonius geometry thought into algebraic thought. With oblique coordinates’ view, it summarized hyperbolic algebraic equations y2=p/2a (2ax+x2) (P is parameters, in Cartesian coordinates standard equation p=2b2/a), and also summarized many asymptotic line related topic, this study strong proved a basic s properties and four geometric properties. Based on this theory and with reference to the excellent teaching resources, it designed teaching plan about asymptotic line, the plan involved symbolic-graphic combination, anagogic reasoning and other mathematics thought.