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Representing Equations with Scales

Representing Equations with Scales
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2017-11-08 23:01
FunctionCoordinate GeometryParametric Equation
This example demonstrates how to represent equations using scales, showing how to adjust parameters to change the shape and position of the graph. Key mathematical concepts include equations, parametric curves, and function graphs. Using GeoGebra commands such as Polygon, Circle, Random, and Shuffle, dynamic geometric figures can be constructed. Suitable for high school mathematics education, particularly for learning coordinate geometry and function graphs.

GeoGebra Commands & Parameters

  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 Drawing Prompt Reference

Draw a figure with a scale disk and boxes. Start by drawing four boxes in the upper left, lower left, upper right, and lower right. Then draw a scale disk in the center. Finally, add four stands connecting the boxes and the disk.
The prompt above was compiled from the original drawing commands and is for reference only.