A graphic method for realizing linear motion and curved motion using geometric sketchpad

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Draw curves and straight lines in the geometric sketchpad. First select the [Line Segment Tool] to draw a straight line in the work area (hold down the Shift key to draw a horizontal straight line), and then execute [Draw] - [Draw] New Function] command to draw a curve image (here is an example of drawing a quadratic function image),

# Pick any point A on the drawn straight line, and select the starting point and point when drawing the straight line. A (pay attention to the order), execute the [Transform] - [Mark Vector] command,

Pick any point B on the curve, select point B, execute [Transform] - [Translation] 】 command, click OK in the pop-up dialog box, so that you get point B', as shown in the figure. In addition, you can also use the translation command to verify the area formula of the parallelogram.

Use the mouse to select point B and point B', and execute the [Construction] - [Trajectory] command, as shown in the figure, You can draw a curve trajectory image.

Use the mouse to drag point A to make the curve move along a straight line. If you want to animate, you can also select point A to construct an operation button.

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