泰勒公式是微积分学的一部分重要内容，内容抽象，学生往往较难理解和掌握，泰勒公式的主要思想是应用“逼近法”求函数的值。为解决泰勒公式难理解的问题，首先通过讲解一阶导数的近似值计算公式，在求值时发现精确度上存在问题，从而引出了泰勒公式，并对其内容进行梳理，厘清泰勒公式的内涵，然后引入其在近似计算、极限的计算、等式证明、不等式的证明等方面的应用，进而拓宽学习泰勒公式的思路，加深公式的理解，对教学和学习有一定帮助。

Taylor formula is an important part of Calculus, the content is abstract, students often difficult to understand and grasp,the main idea of Taylor formula is to use the “approximation method” to find the value of the function. In order to solve the problem that Taylor formula is difficult to understand, first of all, by explaining the approximate formula of the first derivative, we found that there were some problems in the accuracy of the calculation, thus leading to the Taylor formula, and carding its content, to clarify the connotation of Taylor's formula, and then to introduce its application in approximate calculation, limit calculation, equality proof, inequality proof and so on, so as to broaden the thinking of learning Taylor's formula and deepen the understanding of the formula, it is helpful for teaching and learning.