以圆锥曲线为根本目标,对其教学思路、重要知识点及其应用问题进行研究。1引言高中数学教学在学生数学学习生涯中起到至关重要的作用,其中蕴含的数学基础知识点、数学思维以及数学思想会给学生带来深远影响。在高中数学学习过程中,由于圆锥曲线构建的三维图像模型及其涉及的数学知识相对较深,所以能在学生的理解与实际应用过程中造成了不小的困难。为此,针对圆锥曲线教学与应用的研究成为现阶段该领域的研究热点。根据其研究所取得的成果来看,主要可以分为以下几个方面:首先,针对教学方法的改革,寻求适宜于圆锥 Conic curve as the basic goal, its teaching ideas, important knowledge points and their application problems. 1 Introduction Senior high school mathematics teaching plays a crucial role in students’ math learning career. The basic mathematics points, mathematical thinking and mathematical thought that it contains will have a far-reaching impact on students. In the process of high school mathematics learning, the conic curve constructed by the three-dimensional image model and its related mathematical knowledge is relatively deep, so students in the understanding and practical application caused no small difficulty. Therefore, the research on the teaching and application of conic curves has become the research hotspot in this field at this stage. According to the results of their research, mainly can be divided into the following aspects: First, in view of the reform of teaching methods, to seek suitable for the cone