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Motion Detector Simulation

Motion Detector Simulation
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2014-12-21 03:32
FunctionTrigonometryCoordinate GeometryGeometric ConstructionSlider Animation
This example demonstrates tracking the trajectory of a walker using a simulated motion detector (like a CBR). Core math concepts include function graphs, geometric mean, fractal geometry, interest calculation, and exponentiation. Construction highlights the use of GeoGebra commands/objects like Point, LineBisector, Mirror, Polygon, and Sequence. Suitable for high school students learning functions, geometric transformations, and data analysis, useful for mathematical modeling of physical experiments.

GeoGebra Commands & Parameters

  1. Point(Ray[(0, 0), (1, 0)]) → A
  2. LineBisector(A, B) → a
  3. Mirror(pic1, a) → pic1'
  4. Polygon((0, 4), (0, 5), (-0.5, 5), (-0.5, 4)) → poly1, b, c, d, e
  5. Sequence(CircleArc[(i, 4.5), (i + 0.2, 4), (i + 0.2, 5)], i, 1, floor(x(A))) → list1

AI Drawing Prompt Reference

Draw a simulation of a motion detector tracking a walker's trajectory, including a point moving along the x-axis, a perpendicular bisector through the point, and a mirrored reflection of a rectangle across the bisector, with a series of arcs above the rectangle showing geometric transformations and functional relationships.
The prompt above was compiled from the original drawing commands and is for reference only.