高等数学中数形结合教学模式的探讨

Discussion on Teaching Pattern Combining Figure with Chart in Higher Mathematics

以利用多项式函数近似表示正弦函数为例,探讨了如何在高等数学中应用动画的形式进行数形结合的教学方法,着重介绍了通过利用动画的形式自动生成函数f(x)及其幂级数展开式的前n项和函数Sn(x)的图形并进行比较的方法,使学生能够轻松有趣地理解函数展开为幂级数的意义及其应用。

Taking that the polynomial functions are used to approximately represent the sine functions as the example, this paper discusses how to apply the new teaching pattern combining the figure and chart by animation in teaching high mathematics. The animation is used to automatically generate the graph of the function f（x） and the first items of its power series expansion, and then the graph is compared to that of Sn （x） , so that the students can understand the meaning of the development from the function to the power series and its application in a funny way.