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Addition Demo

Addition Demo
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2016-05-05 14:07
VectorFunctionTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates geometric addition through points, lines, and polygons, involving core math concepts like points, lines, polygons, orthogonal lines, intersections, and function graphs. It utilizes GeoGebra commands and objects such as Point, Mod, AttachCopyToView, Line, OrthogonalLine, Intersect, Polygon as per the construction summary. Suitable for high school and above students learning geometric constructions, function graphs, and analytical geometry.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Mod(m, 10) → m_0
  3. Mod((m - m_0) / 10, 10) → m_1
  4. Mod(n, 10) → n_0
  5. Mod((n - n_0) / 10, 10) → n_1
  6. Mod(mplusn, 10) → mplusn_0
  7. Mod((mplusn - mplusn_0) / 10, 10) → mplusn_1
  8. AttachCopyToView(PolyLine[(26.632287855099953, 12.241492018277993), (26.40276581892054, 12.241492018277993), (26.219148189977005, 12.241492018277993), (26.03553056103347, 12.241492018277993), (25.85191293208994, 12.241492018277993), (25.668295303146408, 12.241492018277993), (25.484677674202874, 12.241492018277993), (25.20925123078758, 12.241492018277993), (25.025633601844046, 12.241492018277993), (24.842015972900512, 12.241492018277993), (24.566589529485213, 12.241492018277993), (24.382971900541683, 12.241492018277993), (24.19935427159815, 12.19558761104211), (24.015736642654616, 12.19558761104211), (23.786214606475202, 12.19558761104211), (23.602596977531668, 12.19558761104211), (23.32717053411637, 12.19558761104211), (22.959935276229306, 12.19558761104211), (22.73041324004989, 12.149683203806228), (22.454986796634593, 12.149683203806228), (22.179560353219294, 12.149683203806228), (21.85822950256811, 12.149683203806228), (21.490994244681048, 12.149683203806228), (21.169663394029865, 12.103778796570344), (20.848332543378685, 12.103778796570344), (20.61881050719927, 12.103778796570344), (20.435192878255737, 12.103778796570344), (20.251575249312204, 12.103778796570344), (19.976148805896905, 12.103778796570344), (19.74662676971749, 12.103778796570344), true], 1, (-0.8644520791940146, -8.599108866812882), (43.70872734684846, 16.969645963573942), (-1.0000000000000058, 571), (970, 14.000000000000002)) → stroke1
  9. Line(B, xAxis) → f
  10. Line(C, xAxis) → g
  11. Line(D, xAxis) → h
  12. Line(E, xAxis) → i
  13. Line(F, xAxis) → j
  14. Line(G, xAxis) → k
  15. OrthogonalLine(A, xAxis) → l
  16. OrthogonalLine(M, xAxis) → p
  17. OrthogonalLine(N, xAxis) → q
  18. OrthogonalLine(MplusN, xAxis) → r
  19. Intersect(f, l) → H
  20. Intersect(g, l) → I
  21. Intersect(i, l) → L
  22. Intersect(l, h) → O
  23. Intersect(h, p) → P
  24. Intersect(i, p) → Q
  25. Intersect(h, r) → R
  26. Intersect(i, r) → S
  27. Line(T, xAxis) → s
  28. Line(U, xAxis) → t
  29. Intersect(l, s) → V
  30. Intersect(l, t) → W
  31. Intersect(p, t) → Z
  32. Intersect(p, s) → A_1
  33. Intersect(f, q) → B_1
  34. Intersect(g, q) → C_1
  35. Polygon(W, V, A_1, Z) → poly1, w, v, a_1, z_1
  36. Polygon(H, I, C_1, B_1) → poly2, h_1, i_1, c_1, b_1
  37. Polygon(O, L, Q, P) → poly3, o, l_1, q_1, p_1
  38. Polygon(S, R, P, Q) → poly4, s_1, r_1, p_2, q_2
  39. Intersect(j, l) → J
  40. Intersect(k, l) → K
  41. Intersect(k, r) → D_1
  42. Intersect(j, r) → E_1
  43. Intersect(j, l) → F_1
  44. Polygon(J, K, D_1, E_1) → poly5, j_1, k_1, d_1, e_1

AI Drawing Prompt Reference

Draw a coordinate system geometric addition demonstration, including 10 points A to J, 10 lines f to j, and vertical lines l and r through points A and M+N, forming intersections H to Z, and creating multiple quadrilaterals such as poly1, poly2, etc.
The prompt above was compiled from the original drawing commands and is for reference only.