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天平等式加法练习：用砝码平衡方程

天平等式加法练习：用砝码平衡方程
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2020-01-28 17:44
多边形函数不等式滑块动画
该范例通过交互式天平模型演示等式加法的基本概念。用户在天平两侧添加或移动砝码，观察方程两边数值变化，从而理解等式两边同时加减相同量仍保持平衡的原理。核心数学概念包括等式性质、加法运算和代数思维。作图要点：使用GeoGebra的Textfield、InputBox创建输入框，Polygon和Circle绘制天平与砝码，Random生成随机题目，并通过Move、ScaleBottom等对象实现砝码的拖动和缩放，配合TryAnother、HowDidIDo等按钮提供交互反馈。适合小学高年级至初中学生，用于直观学习解方程和等式变换，也可作为数学教师课堂演示工具。

GeoGebra 命令及参数

  1. Textfield(Usertext) → InputBox1
  2. Polygon((2.75, 1.95), (2.75, 2.05), (8.25, 2.05), (8.25, 1.95)) → ScaleBottom1, f, g, h, i
  3. Polygon((4.3, 2.35), (4.3, 2.55), (6.7, 2.55), (6.7, 2.35)) → ScaleBottom3, n, p, q, r
  4. Polygon((5, 2.55), (5, 3.25), (6, 3.25), (6, 2.55)) → ScaleBottom4, s, t, d, e
  5. Polygon((2.75, 2.05), (2.75, 2.35), (8.25, 2.35), (8.25, 2.05)) → ScaleBottom2, j, k, l, m
  6. Polygon(Left + (0, 0.2), Left - (0, 0.2), Right - (0, 0.2), Right + (0, 0.2)) → ScaleArm, f_1, g_1, h_1, i_1
  7. Circle(Left, 0.5) → LeftArmCircle1
  8. Circle(Left, 0.3) → LeftArmCircle2
  9. Circle(Right, 0.5) → RightArmCircle1
  10. Circle(Right, 0.3) → RightArmCircle2
  11. Polygon(Left - (0.15, 0), Left + (0.15, 0), Left + (0.15, 0.8), Left + (-0.15, 0.8)) → LeftArmStand, j_1, k_1, l_1, m_1
  12. Polygon(Right - (0.15, 0), Right + (0.15, 0), Right + (0.15, 0.8), Right + (-0.15, 0.8)) → RightArmStand, n_1, p_1, q_1, r_1
  13. Polygon(Left + (-2.25, 0.8), Left + (-2.25, 1), Left + (2.25, 1), Left + (2.25, 0.8)) → LeftTray, s_1, t_1, a_1, b_1
  14. Polygon(Right + (-2.25, 0.8), Right + (-2.25, 1), Right + (2.25, 1), Right + (2.25, 0.8)) → RightTray, c_1, d_1, e_1, f_2
  15. Circle((5.5, 3.4), 0.6) → ScaleBottom5
  16. Circle((5.5, 3.4), 0.4) → ScaleBottom6
  17. Random(1, 2) → numorder
  18. Random(1, 2) → sideorder