High School Hyperbolic Asymptote Subject Teaching Research

In the 2017 edition of the "ordinary high school mathematics curriculum standard"(hereinafter referred to as the "new standard"),it put forward that the teacher need to overall grasp the teaching contents,promote the development of core mathematics literacy continuity and stage,and strengthen learning method guidance to help students understand mathematics concepts,grasp the mathematics essence,the number form combining,clear reason,clarify the context of knowledge so that students establish the link between the knowledge of teaching ideas.Through the survey found that the hyperbolic asymptote equation is the use of information technology in the textbooks found known of the positional relationship between the linear and hyperbolic to raise the asymptote of hyperbola in teaching material edit by PEP(People’s Education Press).In order to pursue the mathematics classroom "efficiently",Some teachers required students only to take cramming method to solve the hyperbola asymptote equations.So what is the meaning of the existence of the hyperbolic asymptote? How to get the Asymptote of hyperbolic equation? Teaching materials not well solve these problems so that many students for solving hyperbolic asymptote equation is only learning but don’t know why.Based on these,this article will use the literature analysis,case analysis,classroom observation,comparative analysis and other research methods to explore how to generate hyperbolic natural asymptote and understand the nature of the curve asymptote in order to implement the teaching idea of "new standard".This paper mainly divided into the following sections:(1)Analyzing the teaching status quo of hyperbola asymptote.Under different teaching material analyze the hyperbolic asymptote teaching content rendering and layout,the hyperbolic asymptote of classroom teaching case and typical teaching design.(2)Analyzing the definition of hyperbolic applied to build the hyperbolic associated with inverse function of the feasibility.(3)The study of the theory of the curve of the asymptote.search the related histor y curve asymptote.By the history of mathematics and mathematical analysis,higher mathematics books,etc to curve analysis of the asymptote,and explore the nature and significance of curve asymptote.(4)Comb the curve asymptote related applications.Collect and analyze middle school students are exposed to about the application of curve asymptote to form the asymptote knowledge system.(5)To explore new hyperbolic asymptote subject teaching design.Mainly di vided into the re-recognition of hyperbolic asymptote,asymptote of solving and the application of the asymptote problem solving.In this paper,by using the definition of hyperbolic inverse function and hyperbolic correlation to help high school students solving how to get the hyperbolic asymptote and the meaning of the asymptote.Reduce the student staying at the surface in the form of a hyperbolic asymptote equation computation,implement comprehensive recognition of asymptote of knowledge.