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Hyperbola Lab by 1069433

Hyperbola Lab by 1069433
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2015-04-21 01:02
FunctionCoordinate GeometryIntegralOptimizationGeometric Construction
This example demonstrates the geometric construction and properties of a hyperbola. Key math concepts include the definition of a hyperbola, its standard equation, and elements of coordinate geometry such as points, lines, and polygons. Construction highlights the use of GeoGebra commands and objects like Intersect (intersection), Point (point), Polygon (polygon), Segment (segment), Mirror (reflection), and Conic (conic sections). Suitable for high school and above students to understand the geometric definition and properties of hyperbolas, as well as learning coordinate geometry constructions.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Point(yAxis) → D
  4. Polygon(A, B, C, D) → poly1, a, b, c, d
  5. Segment(A, E) → e
  6. Point(c) → F
  7. Segment(A, F) → f
  8. Point(c) → G
  9. Segment(A, G) → g
  10. Segment(A, H) → h
  11. Point(c) → I
  12. Segment(A, I) → i
  13. Point(xAxis) → J
  14. Segment(J, K) → j
  15. Point(b) → L
  16. Segment(J, L) → k
  17. Segment(J, M) → l
  18. Segment(J, N) → m
  19. Segment(J, O) → n
  20. Intersect(e, j) → P
  21. Intersect(f, k) → Q
  22. Intersect(g, l) → R
  23. Intersect(h, m) → S
  24. Intersect(i, n) → T
  25. Mirror(P, a) → P'
  26. Mirror(Q, a) → Q'
  27. Mirror(S, a) → S'
  28. Mirror(T, a) → T'
  29. Conic(T', S', P', A, P) → p