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How to create the Cartesian cardioid function in Geometric Sketchpad

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2024-04-22 10:40:231263browse

Tips for making the Cartesian heart-shaped function in Geometric Sketchpad How to draw the Cartesian heart-shaped function in Geometric Sketchpad? PHP editor Xinyi hereby shares a graphic tutorial to guide you step by step to easily create a Cartesian heart shape, allowing you to deeply understand the charm of mathematical functions. Come and find out!

1. Create new parameters. Right-click on a blank space in the drawing area, select [New Parameter], label a, value 4, unit [none].

How to create the Cartesian cardioid function in Geometric Sketchpad

2. Shortcut key [Ctrl G] to call up the new function editor. Click [Equation] and select polar coordinate equation. Click on the function shown in the editor. [OK], get the heart-shaped image.

How to create the Cartesian cardioid function in Geometric Sketchpad

3. Change the origin label to A, draw a point on the image, label it B, select point A and point B, and select [Construction] - [Line Segment]. Select point B and line segment AB, [Construction] - [Trajectory]. Select the trajectory and image line, select [Display] - [Color], red. Change the line style to Thin Line.

How to create the Cartesian cardioid function in Geometric Sketchpad

4. Right-click the track, [Properties] - [Drawing] - [Sampling Number], change it to 1000. Hidden points A and B, completed.

How to create the Cartesian cardioid function in Geometric Sketchpad

5. Select parameter a, [Edit] - [Operation Button] - [Animation], adjust the range and change speed of a. After clicking the button, you can also see a beating heart.

How to create the Cartesian cardioid function in Geometric Sketchpad

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