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Interactive Demonstration of Parallelogram and Ellipse Intersection

Interactive Demonstration of Parallelogram and Ellipse Intersection
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2017-06-14 14:44
PolygonAngleCoordinate GeometryGeometric Construction
This example demonstrates the dynamic intersection points between a parallelogram and an ellipse. It involves core math concepts like coordinate geometry, intersection calculations, fractions, and angle measurements. Construction highlights include commands like Random, RandomElement, Textfield, TableText, and Polygon, enabling parametric generation and interactive visualization. Suitable for high school and above, ideal for teaching coordinate geometry and geometric intuition.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → a
  2. Random(-10, 10) → b
  3. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c
  4. Textfield(h) → InputBox1
  5. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → a_1
  6. Random(-10, 10) → b_1
  7. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c_1
  8. Random(-10, 10) → d_1
  9. Textfield(m) → InputBox2
  10. Textfield(g) → InputBox3
  11. Textfield(f) → InputBox4
  12. TableText({{A1_1, B_1, C_1, D_1}, {-3, g(-3), h(-3), f(-3)}, {-2, g(-2), h(-2), f(-2)}, {-1, g(-1), h(-1), f(-1)}, {0, g(0), h(0), f(0)}, {1, g(1), h(1), f(1)}, {2, g(2), h(2), f(2)}, {3, g(3), h(3), f(3)}, {1, e, l, k}}, "|_") → text3_1
  13. Polygon(B, C, D, E) → poly1, b_2, c_1, d_2, e_1