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Free Points vs Sliders (Script)

Free Points vs Sliders (Script)
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2016-12-19 05:06
FunctionCoordinate GeometrySlider Animation
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This example demonstrates the relationship between free points and sliders. It involves the concept of functions, and through GeoGebra commands such as Segment, PointIn, Cylinder, Cone, etc., it dynamically shows the changes in points and shapes. Suitable for high school mathematics education, particularly for teaching coordinate geometry and function graphs.

GeoGebra Commands & Parameters

  1. Segment(B, C) → f
  2. PointIn(OrthogonalPlane[A, u]) → D
  3. Cylinder(A, B, r) → a, c, d, b
  4. Cone(B, C, r) → e, g, h
  5. Segment(A, B) → i
  6. Segment(A, D) → j

AI Drawing Prompt Reference

Draw a coordinate system with points A and B, and connect them with a line segment. Then, connect points B and C with another line segment. Create a slider r, and use points A and B as the base center to draw a cylinder with r as the radius. Next, use points B and C as the base center to draw a cone with r as the radius. Finally, draw a line segment between points A and B, and a line segment between points A and D, where point D is on the orthogonal plane of point A.
The prompt above was compiled from the original drawing commands and is for reference only.