Implement the operation method of the cylindrical rotating body of the geometric sketchpad

Implement the operation method of the cylindrical rotating body of the geometric sketchpad

1. Make a horizontal line, and select the initial current point and press [Ctrl+H] to hide it. Use the point tool to construct points O, E, and F on a straight line. Select point O and point E, select [Construction] – [draw a circle with the center of the circle and the circle] as the circle OE with O as the center of the circle, and make concentric circles OF in two ways.

Implement the operation method of the cylindrical rotating body of the geometric sketchpad

2. Use the point tool to take point G on the large circle, and use the line segment tool to connect the OG to the small circle at point H. Select point H and line, select [Construction] – [Parallel Line] to make a parallel line of the straight line EF through point H, and use the same method to pass point G as a vertical line of the line, and the two lines intersect at point M.

Implement the operation method of the cylindrical rotating body of the geometric sketchpad

3. Select point G and point M, select [Structure] – [Trajectory], and an ellipse appears.

Implement the operation method of the cylindrical rotating body of the geometric sketchpad

4. Use the point tool to take any point A on the ellipse (you can’t take the key point F), select point A and line EF, select [Construct] – [Perpendicular line], pass A as the perpendicular line of the straight line EF, use the point tool to take any point B on the perpendicular line, select points A and B, and press [Ctrl+F] to construct the line segment AB.

Implement the operation method of the cylindrical rotating body of the geometric sketchpad

5. Select point A, line segment AB and point B (pay attention to the order), select [Transform] – [Marker Vector], select point O, select [Transform] – [Translate], translate point O to point C according to the marker vector, and connect with AO, CO, and BC using the line segment tool. Form a visual diagram of a rectangular ABCO.

Implement the operation method of the cylindrical rotating body of the geometric sketchpad

6. Select the line segment to AO, right-click to modify the color to red, and change the line segment CO and BC to a different color in the same way. Select the line segment AO, AB, or BC, and select [Display] – [Track Line Segment] to implement the tracking function.

Implement the operation method of the cylindrical rotating body of the geometric sketchpad

7. Select point A and select [Edit] – [Operation Button/Animation] to implement the animation function. Select all graphics except the rectangular ABCO and press [Ctrl + H] to hide them.

Implement the operation method of the cylindrical rotating body of the geometric sketchpad

8. Click the [Animation Point] button to see the cylinder formed by the rotation of the three line segments AO, AB, and BC for one week.

Implement the operation method of the cylindrical rotating body of the geometric sketchpad

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