MathPlotAI Logo MathPlotAI

Exercise 9: Inequalities and Geometric Shapes

Exercise 9: Inequalities and Geometric Shapes
Loading the math board and drawing, please wait…
2017-01-24 23:00
Solid GeometryInequalityGeometric Construction
In collections LINEAR FUNCTIONS
This example demonstrates how to solve practical problems using geometric constructions and inequalities. The core mathematical concepts include inequalities, arithmetic mean, addition, and the application of three-dimensional shapes such as cylinders. Key construction points: Utilizes GeoGebra commands like Random, RandomElement, Textfield, Mirror, TableText; objects include d_2, c_1, c, a, b, g, etc. Suitable for high school students or beginners in geometry and inequalities.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → d_2
  2. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c_1
  3. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c
  4. Random(-10, 10) → a
  5. Random(-10, 10) → b
  6. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → a_1
  7. Textfield(h) → InputBox1
  8. Random(-10, 10) → b_1
  9. Random(-10, 10) → d_1
  10. Textfield(m) → InputBox2
  11. Textfield(f) → InputBox4
  12. Mirror(g, xAxis) → g_1
  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

Create a high-school inequality and geometry exercise graphic: first generate several random numeric and integer parameters, then add three editable expression input boxes. Draw one function curve and its mirror image across the horizontal axis to show geometric construction and inequality relationships. Finally, build a numeric table listing values from -3 to 3 for three curves, with a header row and one extra row of values. The layout should feel like a teaching worksheet involving arithmetic mean, addition, and cylindrical solid-geometry context, with clear labels and beginner-friendly visual organization.
The prompt above was compiled from the original drawing commands and is for reference only.