使用比例尺表示方程

使用比例尺表示方程
几何画板及绘图内容加载中,请稍等……
2017-11-08 23:01
本范例通过使用比例尺来表示方程,展示了如何通过调整参数来改变图形的形状和位置。核心数学概念包括方程、参数曲线和函数图像。通过使用Polygon、Circle、Random、Shuffle等GeoGebra命令,可以构造出动态的几何图形。适合高中数学教学和学习,特别是解析几何和函数图像的学习。

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((-1.6, 6.1), (-1.6, 7.1), (1.8, 7.1), (1.8, 6.1)) → Box1, g_2, h_2, i_2, c_2
  18. Polygon((2, 6.1), (2, 7.1), (5.4, 7.1), (5.4, 6.1)) → Box2, j_2, k_2, l_2, m_2
  19. Polygon((9.2, 6.1), (9.2, 7.1), (12.6, 7.1), (12.6, 6.1)) → Box4, s_2, t_2, a_2, b_2
  20. Polygon((5.6, 6.1), (5.6, 7.1), (9, 7.1), (9, 6.1)) → Box3, n_2, p_2, q_2, r_2
  21. Shuffle({(-1.6, 7.1), (2, 7.1), (5.6, 7.1), (9.2, 7.1)}) → Points, {(9.2, 7.1), (5.6, 7.1), (-1.6, 7.1), (2, 7.1)}

AI 绘图提示语参考

绘制一个带有刻度盘和盒子的图形。首先画出四个盒子,分别位于左上、左下、右上和右下。接着画出一个带有刻度的圆盘,位于中心位置。最后添加四个支撑柱,分别连接盒子和圆盘。
以上提示语为根据原始绘图命令整理而来,仅供参考。