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加法演示 by razook

加法演示 by razook
几何画板及绘图内容加载中，请稍等……
2016-05-05 14:07
向量函数三角函数解析几何几何作图
①本范例演示了通过点和线构建的几何加法模型；②涉及的核心数学概念包括点、线、多边形、正交线、交点、函数图像等；③作图要点提炼自构造摘要，使用了Point, Mod, AttachCopyToView, Line, OrthogonalLine, Intersect, Polygon等GeoGebra命令和对象；④适合高中及以上学生学习和理解几何构造、函数图像及解析几何知识。

GeoGebra 命令及参数

  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 绘图提示语参考

绘制一个坐标系下的几何加法演示，包括10个点A到J，以及通过这些点的10条线f到j，再通过点A和M+N的垂直线l和r，构造交点H到Z，形成多个四边形，如poly1、poly2等。
以上提示语为根据原始绘图命令整理而来，仅供参考。