高中数学圆锥曲线难点问题研究
Research on Difficult Problems of Conic Curve in High School Mathematics

圆锥曲线一直是高中数学的重难点内容，也是学生认为高度抽象的知识点之一，它的考法灵活多变，题型综合了代数思想与几何图形知识，注重考察学生如何将抽象问题具体化，复杂问题简单化的思维能力。因此如何灵活运用圆锥曲线的相关知识进行技巧性的解题一直是研究热点。文章将针对圆锥曲线中离心率求解、最值求解、焦点三角形、焦点弦等难点问题展开探讨，为圆锥曲线问题的巧妙求解提供一些解题思路。
The conic curve has always been the important and difficult content of high school mathematics, and it is also one of the highly abstract knowledge points for students. Its examination method is flexible and changeable. The question type integrates algebra thought and geometry knowledge, and pays attention to the students’ thinking ability of how to concretize abstract problems and simplify complex problems. Therefore, how to flexibly use the relevant knowledge of conic curve to solve problems skillfully has always been a research hotspot. In this paper, we will discuss some difficult problems in conic curve, such as the solution of eccentricity, the solution of the maximum value, the focus triangle, the focus chord and so on.