我们知道,函数与方程思想和数形结合思想都是十分重要的数学思想方法.在解析几何中,开宗明义地畅述“曲线的方程”和“方程的曲线”这两个基本概念,体现了用代数的方法研究几何问题的基本思想.在这种思想的指导下.我们可以把会遇到的许多研究曲线交点的几何问题。转化为研究方程解的代数问题.但由于初等数学的局限性.我们的研究往往只能限于一次和二次方程;对高次和超越方程,我们常常会束手无策.有了导数这个强大的工具,就突破了初等数学的思想和方法在这 We know that the idea of ​​function and equation and the idea of ​​combination of number and shape are very important mathematical thinking methods. In analytical geometry, these two basic concepts of “curve equations” and “curve equations” are abstracted. It embodies the basic idea of ​​studying geometric problems with algebraic methods. Under the guidance of this idea, we can solve the geometric problems of many research curves that we will encounter. Converted to the algebraic problem of the solution to equations. But due to the limitations of elementary mathematics, our research is often limited to first and second-order equations; we often do nothing about higher order and transcendental equations. With the powerful tool of derivative, Break through the ideas and methods of elementary mathematics in this