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Dynamic Parabola XII Curve Sketching 01

Dynamic Parabola XII Curve Sketching 01
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2020-06-05 19:39
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the dynamic sketching of a parabola. Key mathematical concepts include parabolas and curve sketching. Using GeoGebra commands such as Intersect, Point, and OrthogonalLine, the dynamic changes of the parabola can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(f, eq1) → Z_1
  2. Point(eq2) → P_1
  3. OrthogonalLine(P_1, eq1) → h
  4. Intersect(h, eq1) → M_1
  5. Segment(P_1, S_1) → i
  6. Segment(M_1, P_1) → g
  7. Distance(P_1, S_1) → EA
  8. Intersect(eq3, r) → L_1', L_2'
  9. Point(eq3) → P_2
  10. OrthogonalLine(P_2, eq4) → j
  11. Segment(P_2, S_2) → k
  12. OrthogonalLine(P_2, q) → l
  13. Intersect(l, q) → A_3
  14. Segment(P_2, A_3) → m
  15. Intersect(j, eq4) → N_2
  16. OrthogonalLine(S_1, g) → n
  17. Intersect(eq2, n) → L_2, L_1
  18. OrthogonalLine(P_1, f) → s
  19. Intersect(s, f) → N_1