数形结合的思想是数学中的三大思想方法之一,但在很多学生心中利用“形”研究“数”就是数形结合,那这对“结合”两字的理解是有偏差的。当然将代数问题通过赋予它几何意义使问题变得简单明了,这在高中数学中是很常见的,正因如此,利用“数”去研究“形”——数形结合的另一方面往往被学生忽视,这也是为什么学生在刚刚进入圆锥曲线部分的学习时,常常不知道要做什么,或者为什么要这么做。圆锥曲线是解析几何的一部分,本应重在让学生感悟解析方 The idea of ​​combination of numbers and forms is one of the three major ways of thinking in mathematics. However, in many students’ minds, the use of “shape ” researches “number ” is a combination of numbers and forms, and this understanding of the word “combination” There is a deviation. Of course, algebraic problems make the problem simple and straightforward by giving it a geometrical meaning, which is common in high school mathematics, and for this reason we use “number ” to study “form ” - On the one hand, students are often neglected, which is why students often do not know what to do or why when they just enter the conic section. Conic is a part of analytic geometry, which should be focused on making students feel analytic