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Ellipse Exercise

Ellipse Exercise
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2017-01-04 16:57
Coordinate GeometryMatrix
This example demonstrates the method of drawing an ellipse. It involves key mathematical concepts such as the definition and properties of an ellipse. Using GeoGebra commands like Random, RandomElement, and Textfield, the parameters of the ellipse can be dynamically adjusted. Suitable for high school mathematics education and learning.

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}}, "|_r") → text3_1

AI Drawing Prompt Reference

Create an interactive ellipse exercise diagram. Start with two random center coordinates and a random non-zero integer for axis scaling. Include four input fields for horizontal shift, vertical shift, rotation angle, and focal length. Below, display a table listing integer inputs from -3 to 3 with corresponding outputs from three functions, plus one extra row. The scene emphasizes coordinate geometry and dynamic parameter adjustment for educational use.
The prompt above was compiled from the original drawing commands and is for reference only.