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200 Meter Running Speed Calculator

200 Meter Running Speed Calculator
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2017-08-30 02:05
FunctionCoordinate GeometryOptimizationGeometric ConstructionSlider Animation
This example demonstrates how to use GeoGebra to create a 200-meter running speed calculator, involving core mathematical concepts such as function graphs and linear programming or linear optimization. Key construction points include using commands like Line (straight line), Point (point), OrthogonalLine (perpendicular line), Intersect (intersection), Textfield (text field), Polygon (polygon), RotateText (rotated text), Segment (segment), TableText (table text), and Mirror (mirror), along with objects like f, h, g, p, a, A, B, etc. Suitable for high school and above students learning function graph plotting and optimization problems.

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