How to draw conic sections using geometric sketchpad

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Method 1, Parametric Equation Method

You can use the parametric equation form to create new functions \(f(x)=4sinx\), \(g(x)=3cosx in the geometric sketchpad \), then select them at the same time, execute the [Draw]-[Draw Parametric Function Curve] command, and enter the appropriate domain range in the pop-up Draw Curve dialog box, so that the ellipse can be drawn, as shown in the figure.

Method 2. Use custom tools

The geometric sketchpad contains some drawing tools and menu commands. In order to draw conveniently and efficiently, you can customize it Add the prepared tool under Tools, as shown in the figure below. Click the custom tool button on the left toolbar and select Conic A in the pop-up tool options. You can see various conic tools, which one you want to draw. Just select the corresponding tool for a conic section.

For example, if you want to draw a hyperbola, you can select the hyperbola (focus point) tool here, then click twice in the work area to determine the focus position, and then draw any point and drag the mouse , a hyperbola can be drawn.

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