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使用天平解决加法方程

使用天平解决加法方程
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2017-12-01 22:53
函数解析几何几何作图滑块动画函数图像
①本范例通过动态天平演示如何通过平衡原理解决加法方程；②涉及核心数学概念包括等式平衡、加法逆运算、代数解法；③构造要点运用了Polygon（多边形）、Circle（圆）、Random（随机数）、Frequency（频率）、Textfield（文本框）等GeoGebra命令与对象，如ScaleBottom1（天平底座1）、ScaleArm（天平臂）、Locus（轨迹）等；④适合初中数学教学，用于可视化理解方程求解过程。

GeoGebra 命令及参数

  1. Polygon((2.75, 1.95), (2.75, 2.05), (8.25, 2.05), (8.25, 1.95)) → ScaleBottom1, f, g, h, i
  2. Polygon((4.3, 2.35), (4.3, 2.55), (6.7, 2.55), (6.7, 2.35)) → ScaleBottom3, n, p, q, r
  3. Polygon((5, 2.55), (5, 3.25), (6, 3.25), (6, 2.55)) → ScaleBottom4, s, t, d, e
  4. Polygon((2.75, 2.05), (2.75, 2.35), (8.25, 2.35), (8.25, 2.05)) → ScaleBottom2, j, k, l, m
  5. 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
  6. Circle(Left, 0.5) → LeftArmCircle1
  7. Circle(Left, 0.3) → LeftArmCircle2
  8. Circle(Right, 0.5) → RightArmCircle1
  9. Circle(Right, 0.3) → RightArmCircle2
  10. 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
  11. 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
  12. 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
  13. 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
  14. Circle((5.5, 3.4), 0.6) → ScaleBottom5
  15. Circle((5.5, 3.4), 0.4) → ScaleBottom6
  16. Random(1, 2) → sideorder
  17. Polygon((-3.8, 4.6), (-1, 4.6), (-1, 3.2), (-3.8, 3.2)) → ImageBox, c, g_2, h_2, i_2
  18. Frequency(Sort[Insert[{0, 1, 2}, Last[ImageLocator, 19], -1]]) → Occurences
  19. Textfield(usertext) → InputBox1