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200 Meter Distance Sketch

200 Meter Distance Sketch
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2017-08-30 02:07
FunctionTrigonometryCoordinate GeometryOptimizationGeometric Construction
This example demonstrates the calculation and graphical representation of a 200-meter distance. It involves core mathematical concepts such as logarithms, ratios, statistics, hypothesis testing, and area calculation. Construction highlights include using GeoGebra commands like Line, Point, OrthogonalLine, Intersect, Textfield, Polygon, RotateText, Segment, TableText, and Mirror. Suitable for high school students and educators for teaching demonstrations and concept understanding.

GeoGebra Commands & Parameters

  1. Line(C, xAxis) → l_9
  2. Line(D, l_9) → j
  3. Point(l_9) → E
  4. OrthogonalLine(E, l_9) → k
  5. Intersect(j, k) → F
  6. Point(l_9) → H
  7. OrthogonalLine(H, l_9) → l
  8. Point(l) → I
  9. OrthogonalLine(I, l) → l_6
  10. Point(l) → J
  11. OrthogonalLine(J, l) → l_3
  12. Point(l_6) → L
  13. OrthogonalLine(L, l_6) → l_7
  14. Intersect(l_7, l_3) → M
  15. Textfield(t) → InputBox4
  16. Polygon({(0, 0), (40, 0), (40, 20), (0, 20)}) → poly2
  17. Textfield(n_1) → InputBox7
  18. RotateText(" distance along track (meters)", 90°) → text8
  19. Point(yAxis) → S
  20. Segment(S, T) → masc
  21. Intersect(f_1, masc) → U
  22. Intersect(p_1, masc) → W
  23. Polygon((0, 3), (200, 3), (200, -5), (0, -5)) → poly1, maslul, masl, masb, mase
  24. Segment((0, 1.4), (200, 1.4)) → masm
  25. Segment((0, -0.2), (200, -0.2)) → masn
  26. Segment((0, -1.8), (200, -1.8)) → masd
  27. Segment((0, -3.4), (200, -3.4)) → masf
  28. TableText({{tab_5, tab_1, tab_2, tab_3, tab_4}, {A2, B2, C2, D2, E2}, {A3, B3, C3, D3, E3}, {A4, B4, C4, D4, E4}, {A5, B5, C5, D5, E5}, {A6, B6, C6, D6, E6}, {A12, B12, C12, D12, E12}}, "|_") → text7
  29. OrthogonalLine(Q, xAxis) → l_2
  30. Mirror(P, l_2) → P'
  31. OrthogonalLine(R, xAxis) → l_8
  32. Mirror(A_1, l_8) → B_1
  33. Segment(C_1, D_1) → mas
  34. Line(E_1, xAxis) → l_4
  35. Point(l_4) → F_1
  36. Segment(E_1, F_1) → masa