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整数加减法演示

整数加减法演示
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2018-08-31 23:23
向量解析几何几何作图
①本范例通过可视化方式演示整数加减法的运算过程；②涉及核心数学概念包括整数运算、数轴表示、向量加减；③作图要点运用了Point, Vector, Segment, Polygon, Sequence, OrthogonalLine, Intersect等GeoGebra命令与对象，实现动态数轴与向量运算演示；④适合初中数学教学，用于帮助学生直观理解抽象的整数加减运算。

GeoGebra 命令及参数

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. Point(xAxis) → C
  4. Vector(C, A) → u
  5. Vector(C, B) → v
  6. If(a ≟ 0, (Starting - Walk, 0), (Starting + Walk, 0)) → F
  7. If(directionA ≟ 0, 1, 0) → Direction
  8. Point(xAxis) → O
  9. Point(xAxis) → Q
  10. Point(xAxis) → R
  11. Vector(Q, R) → z
  12. Point(xAxis) → D_3
  13. Point(xAxis) → M_4
  14. Point(xAxis) → N_4
  15. Vector(M_4, N_4) → a_1
  16. Segment(U_4, U_4 + (0, 0.7)) → d_1
  17. Segment(U_4, U_4 + (0, 0.7)) → e_1
  18. If(a ≟ 0, (Starting - Walk, 0.8), (Starting + Walk, 0.8)) → WalkStop
  19. Vector(WalkStart, WalkStop) → f_1
  20. Vector((0, 0.4), WalkStart + (0, -0.4)) → h_1
  21. Polygon(ResetPolyPt, ResetPolyPt + (2, 0), ResetPolyPt + (2, 1), ResetPolyPt + (0, 1)) → resetPoly, resetPolySegB, resetPolySegR, resetPolySegT, resetPolySegL
  22. Sequence(Segment[(i, 0.14), (i, -0.14)], i, -15, 20, 1) → hashTops
  23. Point(xAxis) → W_4
  24. OrthogonalLine(W_4, xAxis) → f
  25. Point(f) → Z_4
  26. OrthogonalLine(Z_4, f) → g
  27. Point(f) → A_5
  28. OrthogonalLine(A_5, f) → h
  29. Point(h) → B_5
  30. OrthogonalLine(B_5, h) → i
  31. Point(h) → C_5
  32. OrthogonalLine(C_5, h) → j
  33. Intersect(g, i) → D_5
  34. Intersect(g, j) → E_5
  35. Point(h) → F_5
  36. OrthogonalLine(F_5, g) → k
  37. Intersect(g, k) → G_5
  38. Polygon(A_5, B_5, D_5, Z_4) → poly1, a_5, b_5, d_5, z_4
  39. Polygon(B_5, C_5, E_5, D_5) → poly2, b_1, c_5, e_5, d_2