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LEGO Motor with Beam Demonstration

LEGO Motor with Beam Demonstration
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2015-04-09 02:00
FunctionTrigonometryGeometric ConstructionSlider Animation
In collections LEGO MINDSTORMS robotics
This example dynamically demonstrates the interaction between rotation motion and geometric shapes using a LEGO motor and beam. It involves core mathematical concepts such as rotation, rational numbers, set theory, logarithmic functions, hypothesis testing, and polygons. The construction utilizes GeoGebra commands and objects like Intersect, Rotate, Sequence, Segment, Semicircle, and Angle. Suitable for high school mathematics teaching, it illustrates the dynamic changes in geometric transformations and function graphs.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Rotate(B, α, A) → B'
  3. Sequence(Circle[(B' * i / (n - 1)), 0.4], i, 0, n - 1) → list1
  4. Segment(A + C, B' + C) → a
  5. Segment(A - C, B' - C) → b
  6. Semicircle(A - C, A + C) → d
  7. Semicircle(B' + C, B' - C) → c
  8. Angle(B, A, B') → β

AI Drawing Prompt Reference

Draw a dynamic illustration showing the interaction between rotational motion and geometric shapes, featuring a rotating part controlled by a slider connected to a beam, demonstrating the relationship between rotation angle and geometric figures, with semicircles connecting the ends of the rotating part and lines connecting the beam to the rotating part, and label the rotation angle and geometric interaction.
The prompt above was compiled from the original drawing commands and is for reference only.