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GeoGebra Exercise 14: Sine Functions and Inequalities

GeoGebra Exercise 14: Sine Functions and Inequalities
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2017-06-14 15:16
TrigonometryInequalityGeometric ConstructionGraphing
This example dynamically demonstrates the intersection points between sine function graphs and inequality solution sets, visually illustrating the geometric meaning of functions and inequalities. Core math concepts include sine functions, inequality solving, rotation, and similar triangles. Construction uses commands like Random, RandomElement, Textfield, Intersect, TableText, and objects such as a, d_1, c_1, b, a_1, c, g, button1, h, A1, f, InputBox1, b_1, A1_1, B1_1, C_1, D_1, m, InputBox2, p, e, l, k, InputBox4, d, i, j, n, B_1, d_2, B, A, text2, C, text3_1, A2, B2. Suitable for high school mathematics teaching to help students understand the relationship between sine functions and inequalities, enhancing geometric intuition.

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)}, {m, e, l, k}}, "|_r") → text3_1

AI Drawing Prompt Reference

Create a dynamic illustration showing the intersection points between sine function graphs and inequality solution sets, visually demonstrating the geometric meaning of functions and inequalities. Include randomly generated sine function graphs and inequality solution sets, with interactive elements like text fields and buttons, and display a table of function values to help understand the relationship between sine functions and inequalities, enhancing geometric intuition.
The prompt above was compiled from the original drawing commands and is for reference only.