众所周知,解析几何是一门用代数的方法研究几何问题的学科.但任何事物都是一分为二的,如果过分强调某一种方法,必然会使学生形成思维定势.事实上,解析几何中的问题并不总是用代数的方法研究来得方便、有效,尤其是对于解析几何选择、填空题,代数方法往往费时,而且计算繁难,易出错,若能回归几何法的本质,不仅有利于渗透数形结合的思想,同时也可减少计算、节约时间, As we all know, analytic geometry is a discipline that uses algebraic methods to study geometric problems. However, everything is divided into two parts. If you overemphasize a certain method, you will inevitably make students think in a fixed position. In fact, analytic geometry The problems in this paper are not always convenient and effective when they are studied by algebraic methods. Especially for analytic geometry selection and filling in blank questions, algebraic methods are often time-consuming and computationally difficult and error-prone. If we can return to the nature of geometric methods, it is not only beneficial to The idea of ​​infiltrating the number-shaped combination can also reduce calculations and save time.