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Cartesian Coordinate System

Cartesian Coordinate System
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2023-03-20 03:46
FunctionCoordinate GeometryTransformationGeometric Construction
In collections geometriadinamica.es
This example demonstrates the construction and geometric transformations in the Cartesian coordinate system. It involves core math concepts like coordinate geometry, symmetry, function graphs, and intersection calculations. Key GeoGebra commands used include Point, Line, Circle, Intersect, Mirror to create and manipulate geometric objects such as T7, A, B, a, c, e. Suitable for high school mathematics teaching, particularly for demonstrating analytical geometry and geometric transformations.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. Line(A, B) → a
  4. Circle(A, B) → c
  5. Circle(B, A) → e
  6. Intersect(e, a, 2) → E
  7. Circle(E, B) → g
  8. Intersect(g, a, 2) → G
  9. Circle(G, E) → k
  10. Intersect(k, a, 2) → J
  11. Circle(J, G) → q
  12. Intersect(q, a, 2) → L
  13. Circle(L, J) → s
  14. Intersect(s, a, 2) → N
  15. Circle(N, L) → c_1
  16. Intersect(c_1, a, 2) → P
  17. Circle(P, N) → e_1
  18. Intersect(e_1, a, 2) → R
  19. Circle(R, P) → g_1
  20. Intersect(g_1, a, 2) → C
  21. Mirror(B, A) → D
  22. Mirror(E, A) → F
  23. Mirror(G, A) → H
  24. Mirror(J, A) → I
  25. Mirror(L, A) → K
  26. Mirror(N, A) → M
  27. Mirror(P, A) → O
  28. Mirror(R, A) → Q
  29. Mirror(C, A) → S
  30. Mirror(e, A) → d
  31. Mirror(g, A) → f
  32. Mirror(k, A) → h
  33. Mirror(q, A) → p
  34. Mirror(s, A) → r
  35. Mirror(c_1, A) → t
  36. Mirror(e_1, A) → d_1
  37. Mirror(g_1, A) → f_1

AI Drawing Prompt Reference

Draw a graph containing multiple circles and lines, with two foci at points A and B, two circles with foci at points E and G, two circles with foci at points J and L, and two circles with foci at points N and P. The construction order is to first draw the two foci of the ellipse, then draw the two circles, followed by the two foci of the two circles, and so on, until all the circles and lines are drawn.
The prompt above was compiled from the original drawing commands and is for reference only.