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Cats on Ladder

Cats on Ladder
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2019-02-14 19:15
FunctionCoordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the trajectory and shape changes of a cat moving on a ladder, involving core math concepts like curve sketching, solids or 3D shapes, quadratic equations, combinatorics, and parabolas. It utilizes GeoGebra commands such as Intersect, Vector, Segment, Ellipse, and Polygon. Suitable for high school students learning coordinate geometry, solid geometry, and graphing functions.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Vector(B, C) → u
  3. Segment(B, C) → f
  4. Ellipse(B1, C1, D1) → E1
  5. Ellipse(B2, C2, D2) → E2
  6. Ellipse(B3, C3, D3) → E3
  7. Ellipse(B4, C4, D4) → E4
  8. Ellipse(B5, C5, D5) → E5
  9. Ellipse(B6, C6, D6) → E6
  10. Ellipse(B7, C7, D7) → E7
  11. Polygon(G1, F1, 3) → A9, B9, C9, D9, E9
  12. Polygon(G2, F2, 3) → A10, B10, C10, D10, E10_1
  13. Polygon(G3, F3, 3) → A11, B11, C11, D11, E11_1
  14. Polygon(G4, F4, 3) → A12, B12, C12, D12, E12_1
  15. Polygon(G5, F5, 3) → A13, B13, C13, D13, E13_1
  16. Polygon(G6, F6, 3) → A14, B14, C14, D14, E14_1
  17. Polygon(G7, F7, 3) → A15, B15, C15, D15, E15
  18. Polygon(F1, H1, 3) → A17, B17, C17, D17, E17
  19. Polygon(F2, H2, 3) → A18, B18, C18, D18, E18
  20. Polygon(F3, H3, 3) → A19, B19, C19, D19, E19
  21. Polygon(F4, H4, 3) → A20, B20, C20, D20, E20
  22. Polygon(F5, H5, 3) → A21, B21, C21, D21, E21
  23. Polygon(F6, H6, 3) → A22, B22, C22, D22, E22
  24. Polygon(F7, H7, 3) → A23, B23, C23, D23, E23