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Proportionality in Geometry

Proportionality in Geometry
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2014-08-26 15:02
FunctionCoordinate GeometryGeometric ConstructionLocus
This example demonstrates proportionality in geometric figures, particularly through the combination of ellipses and logarithmic functions. It involves core math concepts like ratios, ellipses, logarithmic functions, algebra, angles, and similar triangles. The construction uses GeoGebra commands such as Price, A2-A11, B2-B11, A, B, C, D, E, F, G, H, I, J, list1, B1, along with slider animations, locus, and geometric constructions. Suitable for high school mathematics education to understand the connection between functions and geometry and algebraic applications.

GeoGebra Commands & Parameters

  1. Numeric Price(7)
  2. Numeric A2(1)
  3. Numeric A3(2)
  4. Numeric A4(3)
  5. Numeric A5(4)
  6. Numeric A6(5)
  7. Numeric A7(6)
  8. Numeric A8(7)
  9. Numeric A9(8)
  10. Numeric A10(9)
  11. Numeric A11(10)
  12. Price
  13. (A3 * $B$2)
  14. (A4 * $B$2)
  15. (A5 * $B$2)
  16. (A6 * $B$2)
  17. (A7 * $B$2)
  18. (A8 * $B$2)
  19. (A9 * $B$2)
  20. (A10 * $B$2)
  21. (A11 * $B$2)
  22. (A2, B2)
  23. (A3, B3)
  24. (A4, B4)
  25. (A5, B5)
  26. (A6, B6)
  27. (A7, B7)
  28. (A8, B8)
  29. (A9, B9)
  30. (A10, B10)
  31. (A11, B11)
  32. {A, B, C, D, E, F, G, H, I, J}

AI Drawing Prompt Reference

Draw a geometric figure with an ellipse and several related points. First, draw an ellipse. Then, select 10 points on the ellipse, with x-coordinates from 1 to 10 and y-coordinates twice the x-coordinates. Connect these points to form a curve. Finally, draw the intersection points of these lines and the ellipse to form a geometric figure.
The prompt above was compiled from the original drawing commands and is for reference only.