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Interactive Kite and Circumcircle Exercise

Interactive Kite and Circumcircle Exercise
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2017-06-14 14:36
CirclePolygonProbability & StatisticsGeometric ConstructionSlider Animation
This example demonstrates the geometric properties of a kite and its circumcircle through interactive means. It involves core concepts like polygons, integers, circumcircle construction, addition, and binomial distribution. Key GeoGebra commands used include Random, RandomElement, Textfield, TableText, and Polygon for interactive data generation and geometric constructions. Suitable for high school mathematics teaching, combining geometric drawing with probability statistics.

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