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Seesaw Model

Seesaw Model
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2019-12-20 10:09
AngleFunctionCoordinate GeometryGeometric ConstructionSlider Animation
This example dynamically demonstrates the balance principle of a seesaw, visually showcasing the physical application of the lever principle. It involves core mathematical concepts such as geometric construction (points, lines, angles, reflections), ratios, and coordinate geometry. Construction highlights include commands like Intersect, Point, Ray, OrthogonalLine, Mirror, Line, Segment, Polygon, and Angle from the GeoGebra summary. Suitable for middle school and above, it serves as a teaching tool for geometric construction and mathematical modeling of physical principles.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(yAxis) → B
  3. Ray(A, B) → f
  4. Point(f) → C
  5. OrthogonalLine(C, f) → g
  6. Point(xAxis) → D
  7. OrthogonalLine(D, g) → h
  8. Mirror(D, g) → D'
  9. OrthogonalLine(D', h) → i
  10. Mirror(D, f) → D'_1
  11. Line(D'_1, h) → j
  12. Segment(D', D) → k
  13. Intersect(i, j) → E
  14. Segment(D'_1, E) → l
  15. Point(l) → seatA
  16. Line(C, seatA) → m
  17. Intersect(g, l) → G
  18. Intersect(g, k) → H
  19. Intersect(m, k) → Anna
  20. Segment(Anna, seatA) → n
  21. Intersect(xAxis, yAxis) → F
  22. Point(xAxis) → J
  23. Point(xAxis) → K
  24. Polygon(C, J, K) → t1, k_1, c, j_1
  25. Angle(D'_1, C, seatA) → α
  26. OrthogonalLine(seatA, n) → p
  27. Point(Circle[seatA, 2]) → N
  28. Segment(seatA, N) → q
  29. OrthogonalLine(N, yAxis) → r
  30. Point(r) → O
  31. Polygon(N, O, 4) → poly1, s, t, d, e, P, Q
  32. OrthogonalLine(Anna, m) → f_1
  33. Point(Circle[Anna, 1.75]) → L
  34. Segment(Anna, L) → g_1
  35. Line(L, m) → h_1
  36. Point(h_1) → R
  37. Polygon(R, L, 4) → poly2, i_1, l_1, m_1, n_1, S, T

AI Drawing Prompt Reference

Draw a seesaw model to demonstrate the principle of balance. Start by plotting the x and y axes and identifying the origin. Draw a ray from the origin along the x-axis to the right, and another ray from the origin along the y-axis upwards. With the intersection of the ray and the x-axis as the center, draw a circle to intersect the ray at a point. Connect this point to the intersection of the ray and the x-axis. Repeat this process with the intersection of the ray and the y-axis as the center. Connect these points to form the shape of the seesaw, and label the key points and segments.
The prompt above was compiled from the original drawing commands and is for reference only.