Basic method of drawing parabola on geometric sketchpad

php editor Zimo takes you to have an in-depth understanding of the geometric sketchpad and explore its basic methods. Geometric Sketchpad is a graphics drawing tool that can draw various geometric figures and curves. Mastering its basic methods is essential to drawing accurate graphics. In this article, we will explore the basic functions and usage techniques of Geometric Sketchpad to help you make better use of this tool for drawing.

Open the geometric sketchpad and click the custom tool button on the left toolbar. After clicking, a drop-down option will appear. We select [Ant Coordinate System - Cartesian Coordinate System (No Parameters)], as shown in the figure. .

Double-click on the drawing board to draw the initial coordinate system diagram. Click [Control Console] and [System Initialization] to stretch or shorten the length of the coordinates so that you can see the regular coordinate system.

Method 1. Enter the analytical expression to draw a parabola

Execute [Drawing - Draw New Function], a new function dialog box will pop up, draw as shown below the equation Select as shown, enter the function (take y2=2x as an example), and enter y2 as y*y.

After entering the function, click OK, then return to the drawing board, and you will see the automatically generated function parabola, as shown in the figure.

Method 2. Draw a curve with three points and one line

If there is no specific function description, we can define the parabola according to the method of drawing a curve. First, press and hold the mouse on the custom tool, and in the drop-down options that appear, we click and select [Curve Tool] - [Three Points and One Line].

Mark three points and a curve will be automatically formed. The two endpoints on the parabola can be hidden using the shortcut key Ctrl H. The final effect is as shown in the figure.

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