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Binomial Rectangle 1

Binomial Rectangle 1
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2018-05-15 10:46
PolygonProbability & Statistics
This example demonstrates the construction of a binomial rectangle. Key mathematical concepts include rectangles, random variables, and reflection. Using GeoGebra commands such as OrthogonalLine, Intersect, and Segment, a binomial rectangle can be constructed. Suitable for middle school and above students to learn geometric construction.

GeoGebra Commands & Parameters

  1. OrthogonalLine(A, xAxis) → f
  2. OrthogonalLine(D, xAxis) → g
  3. OrthogonalLine(C, yAxis) → h
  4. OrthogonalLine(B, yAxis) → i
  5. Intersect(f, i) → E
  6. Intersect(f, h) → F
  7. Intersect(g, h) → G
  8. Intersect(g, i) → H
  9. Intersect(xAxis, yAxis) → I
  10. Segment(I, B) → j
  11. Segment(B, C) → k
  12. Segment(C, F) → l
  13. Segment(F, E) → m
  14. Segment(E, A) → n
  15. Segment(A, I) → p
  16. Segment(F, G) → q
  17. Segment(H, E) → r
  18. Segment(H, D) → s
  19. Segment(D, A) → t
  20. Segment(G, H) → b
  21. Segment(E, B) → c
  22. Polygon(I, B, E, A) → q1, i_1, b_1, e, a_1
  23. Polygon(B, C, F, E) → q2, b_2, c_1, f_1, e_1
  24. Polygon(F, G, H, E) → q3, f_2, g_1, h_1, e_2
  25. Polygon(E, H, D, A) → q4, e_3, h_2, d, a_2

AI Drawing Prompt Reference

Draw a complex geometric shape composed of four rectangles connected by reflections and intersections. Start by drawing two vertical lines and two horizontal lines, then find their intersections. Use these intersections to construct the four rectangles and finally connect their sides to form the shape.
The prompt above was compiled from the original drawing commands and is for reference only.