How to use the construction trajectory command in the geometric sketchpad

Among the rich functions of Geometry Sketchpad, the Construct Trajectory command is a powerful tool that can dynamically display the movement path of points. This tutorial is designed to help you master the use of the construct trajectory command. The following content will introduce in detail how to use this command, including the required steps, parameter settings and practical examples, guiding you to master the skill of constructing trajectories in one go and improve your use of geometric sketchpad.

For example: Set a moving point on a circle and require the midpoint trajectory of the line segment between this point and another point. The specific construction operation is as follows:

Step 1 Construct circle O And pick a point A on the circle. Open the geometry board, select the [Circle Tool] on the left sidebar and draw a circle O in the work area, and use the [Point Tool] to pick a point A on the circle, as shown in the figure.

Pick any point B and construct line segment AB. Use the [Point Tool] to draw a point B arbitrarily in the blank area, then select points A and B in sequence, click the [Construct] menu on the upper menu bar, and select the [Line Segment] command from its drop-down option, thus constructing the line segment AB.

Construct the midpoint M of line segment AB. Use the move tool to select line segment AB, click the [Construction] menu on the upper menu bar, and select the [Midpoint] command from its drop-down option, thus obtaining the midpoint M of the line segment.

Construct the trajectory. Use the move tool to select point A and point M in sequence, click the [Construction] menu on the upper menu bar, and select the [Trajectory] command from its drop-down option. This way, the motion trajectory of midpoint M is obtained, as shown in the figure.

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