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Dynamic Exercise in Coordinate Geometry

Dynamic Exercise in Coordinate Geometry
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2020-01-31 22:09
FunctionCoordinate GeometryGeometric Construction
This example demonstrates a dynamic exercise in coordinate geometry, involving straight lines, ratios, and rectangles. Using GeoGebra commands such as Line, Intersect, and Segment, it dynamically illustrates the relationships between geometric objects. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Line(D, E) → f
  2. Line(C, f) → g
  3. Line(B, g) → h
  4. Line(A, g) → i
  5. Line(F, D) → j
  6. Line(G, E) → k
  7. Intersect(i, j) → H
  8. Intersect(h, j) → I
  9. Intersect(j, g) → J
  10. Intersect(k, i) → K
  11. Intersect(h, k) → L
  12. Intersect(g, k) → M
  13. Segment(H, I) → l
  14. Segment(I, J) → m
  15. Segment(J, D) → n
  16. Segment(K, E) → p
  17. Segment(L, K) → t
  18. Segment(M, L) → r
  19. Segment(E, M) → s
  20. Distance(H, D) → distânciaHD
  21. Segment(H, D) → q
  22. Segment(H, D) → a

AI Drawing Prompt Reference

Draw a dynamic coordinate geometry exercise: start with a base line, then add a second line intersecting it. From four points, draw parallel lines to the second line, creating a set of parallels. From two fixed points, draw two slanted lines crossing the parallels, producing multiple intersection points. Connect these intersections with segments to form a rectangle and internal triangles/quadrilaterals. Finally, measure and mark the diagonal distance between two points with a segment, highlighting the geometric relationships.
The prompt above was compiled from the original drawing commands and is for reference only.