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同学们在学习初等函数的时候,都要绘制函数的图像.一般说来,绘制函数图像的方法是先列出x,y的对应值表,再描点,再依次用光滑的曲线连接各点.用这种方法,描出的点较少(一般7个左右),连线很难平滑,且较费时.这里介绍一种用计算机应用软件Excel列表、计算,再用《几何画板》描点绘制函数图像的方法.这种方法适用于所有初等函数的描图,简便易学,整个列表、计算过程由计算机瞬间即可完成,描点准确、快捷.点的个数最多可达65536个,这些点生成的图像清晰美观.运用此法辅助函数的学习,将有助于数形结合,依图判性,使函数的性质变得形象直观,从而提高我们学习的兴趣和效率.
When students learn elementary functions, they must draw the image of the function. Generally speaking, the method of drawing a function image is to list the corresponding values of x and y, and then to draw points, and then use smooth curves to connect points. In this way, the points drawn are small (generally about 7), the connection is difficult to smooth, and it is more time-consuming. Here we introduce a computer application software Excel list, calculation, and then use the “Geometric Sketcher” draw function image Method. This method is applicable to the tracing of all elementary functions. It is easy to learn. The entire list and calculation process can be completed by the computer in an instant. The points are accurate and fast. The number of points can reach up to 65,536. The generated images are clear. Beautiful. The use of this method to help the learning of the function, will help the combination of number and shape, according to the verdict, so that the nature of the function becomes visually intuitive, thereby enhancing our interest in learning and efficiency.