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Exercise 13

Exercise 13
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2017-01-07 00:23
CircleFunctionCoordinate Geometry
In collections LINEAR FUNCTIONS
This example demonstrates the random generation of conic sections. Key mathematical concepts include the properties of conic sections and random number generation. Using GeoGebra commands such as Random, RandomElement, and Intersect, different conic sections can be dynamically generated.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → a
  2. Random(-10, 10) → d_1
  3. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c_1
  4. Random(-10, 10) → b
  5. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → a_1
  6. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c
  7. Textfield(h) → InputBox1
  8. Random(-10, 10) → b_1
  9. Textfield(m) → InputBox2
  10. Textfield(f) → InputBox4
  11. Random(-10, 10) → d_2
  12. Intersect(g, xAxis) → C
  13. 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

Generate a random conic section, either a circle or an ellipse, and adjust its position and size using the input box parameters. Randomly create a function g(x) and find its intersection with the x-axis at point C. Calculate and display the y-values of g(x) at different x-values using the input box parameters.
The prompt above was compiled from the original drawing commands and is for reference only.