Creative Geometric Construction Demo

Creative Geometric Construction Demo
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2019-07-24 20:35
This example demonstrates the process of constructing complex geometric figures through basic elements (points, lines, circles) combined with operations like intersection and rotation; Core math concepts include line segments, circles, angles, rotation, differential calculus, statistical characteristics, polynomial functions, etc.; Construction highlights are derived from GeoGebra commands: Intersect, Circle, Segment, Point, Line, Angle, Rotate; Suitable for high school and above learners to understand geometric construction techniques and the visual application of concepts like calculus and statistics.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, B) → c
  3. Segment(A, B) → f
  4. Point(c) → C
  5. Segment(A, C) → g
  6. Circle(C, A) → d
  7. Intersect(d, xAxis, 2) → D
  8. Line(D, C) → h
  9. Intersect(d, yAxis, 2) → E
  10. Segment(E, D) → i
  11. Angle(D, A, C) → α
  12. Intersect(c, xAxis, 2) → F
  13. Rotate(F, β, A) → F'
  14. Angle(F, A, F') → γ
  15. Circle(F', A) → e
  16. Intersect(e, xAxis, 2) → G
  17. Line(G, F') → j
  18. Intersect(e, j, 2) → H
  19. Segment(G, H) → k