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数轴上的行走

数轴上的行走
几何画板及绘图内容加载中，请稍等……
2013-06-15 04:00
向量函数解析几何
该范例通过角色在数轴上的行走演示整数的加减法。通过复选框可以显示和隐藏示例表达式。使用了Point, Vector, If, Segment, Polygon等GeoGebra命令。适合小学高年级至初中学生学习整数运算。

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(directionA ≟ 0, 1, 0) → Direction
  7. Point(xAxis) → O
  8. Vector(O, P) → w
  9. Point(xAxis) → Q
  10. Point(xAxis) → R
  11. Vector(Q, R) → z
  12. Vector(S_1, T_1) → e
  13. Vector(T_1, U_1) → f
  14. Vector(V_1, W_1) → k
  15. Vector(Z_1, A_2) → l
  16. Vector(B_2, C_2) → m
  17. Vector(F_2, G_2) → n
  18. Vector(H_2, I_2) → p
  19. Vector(J_2, K_2) → q
  20. Vector(L_2, M_2) → r
  21. Vector(N_2, O_2) → s
  22. Vector(P_2, Q_2) → t
  23. Vector(R_2, S_2) → u_1
  24. Vector(T_2, U_2) → v_1
  25. Vector(V_2, W_2) → g_1
  26. Point(xAxis) → D_3
  27. Vector(Q_3, R_3) → g
  28. Vector(S_3, T_3) → h
  29. Vector(U_3, V_3) → i
  30. Vector(W_3, Z_3) → j
  31. Vector(A_4, B_4) → w_1
  32. Vector(C_4, D_4) → z_1
  33. Point(xAxis) → M_4
  34. Point(xAxis) → N_4
  35. Vector(M_4, N_4) → a_1
  36. Segment(U_4, U_4 + (0, 0.7)) → d_1
  37. Segment(U_4, U_4 + (0, 0.7)) → e_1
  38. Vector(WalkStart, WalkStop) → f_1
  39. Polygon(ExpressionBoxPt, ExpressionBoxPt + (12, 0), ExpressionBoxPt + (12, 2.7), ExpressionBoxPt + (0, 2.7)) → exprBox, exprBoxB, exprBoxSegR, exprBoxSegT, exprBoxSegL
  40. Vector((0, 0.4), WalkStart + (0, -1 * 0.4)) → h_1
  41. Polygon(ResetPolyPt, ResetPolyPt + (2, 0), ResetPolyPt + (2, 1), ResetPolyPt + (0, 1)) → resetPoly, resetPolySegB, resetPolySegR, resetPolySegT, resetPolySegL
  42. Polygon(CharacterBoxPt, CharacterBoxPt + (6, 0), CharacterBoxPt + (6, 2.7), CharacterBoxPt + (0, 2.7)) → characterBox, charBoxSegB, charBoxSegR, charBoxSegT, charBoxSegL
  43. Polygon(HintBoxPt, HintBoxPt + (36, 0), HintBoxPt + (36, 4), HintBoxPt + (0, 4)) → hintBox, hintBoxSegB, hintBoxSegR, hintBoxSegT, hintBoxSegL
  44. Sequence(Segment[(i, 0.14), (i, -1 * 0.14)], i, -15, 20, 1) → hashTops
  45. Polygon((-15, -6.3), (20, -6.3), (20, -0.9), (-15, -0.9)) → solutionBox, solutionBoxB, solutionBoxR, solutionBoxT, solutionBoxL