Geometric Sketchpad uses the point trajectory method to draw the graphic process of a linear function

How to draw a function using the trajectory method of the geometric sketchpad? The Geometric Sketchpad's locus method is a powerful tool for graphing functions. This article will guide you through using this method to plot a function step by step. By following these simple steps, you will be able to easily draw an accurate graph of a linear function, which is useful for visualizing the behavior of a function. Continue reading below for a detailed step-by-step guide.

To draw a linear function y=5x+3, the specific operations are as follows:

Establish a coordinate system and draw a line segment on the x-axis. Open the geometric sketchpad, click the [Custom Tools] button on the left sidebar, select [Classic Coordinate System] - Feihu Cartesian Coordinate System under the tool package, and establish a coordinate system in the work area. Use the [Line Segment Tool] to draw a line segment on the x-coordinate axis.

Draw point A on the line segment and measure its abscissa. Select the line segment just drawn, then click the [Construction] menu on the upper menu bar, and select the [Point on Line Segment] command from its drop-down option, thus obtaining point A. Select point A, click the [Measurement] menu in the upper menu bar, and select the [Abscissa] command from its drop-down option, thus getting the abscissa of point A.

Calculate the value. Click the [Data] menu in the upper menu bar, select the [Calculate] command from its drop-down option, calculate the formula as shown in the figure in the dialog box that opens, and click OK to display the calculated value on the drawing board.

Draw points. Click the [Draw] menu in the upper menu bar, select the [Draw Point] command from its drop-down option, and in the pop-up dialog box, first click the abscissa of point A, then click Calculate Value, and then click Finish to get point B.

Construct the trajectory drawing function image. Use the move tool to select point A and the drawn point B, click the [Construction] menu in the upper menu bar, and select the [Trajectory] command from its drop-down option, thus obtaining the primary function image.

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