MathPlotAI Logo MathPlotAI

AMC 2019 Problem 5

AMC 2019 Problem 5
Loading the math board and drawing, please wait…
2020-06-10 13:54
FunctionTrigonometryCalculus
This example demonstrates the solution process of AMC 2019 Problem 5. It involves core mathematical concepts such as integration, trigonometric functions, and rotation. Using GeoGebra commands like Element, RandomElement, Derivative, and Simplify, dynamic mathematical graphics can be constructed. Suitable for high school mathematics teaching and learning.

GeoGebra Commands & Parameters

  1. Element(m1, i) → l3
  2. RandomElement(l1) → e21
  3. Random(2, 4) → d
  4. Element(l3, 2) → b
  5. Element(l3, 1) → a
  6. Random(1, 3) → c
  7. Derivative(f) → g
  8. Derivative(g) → h
  9. Simplify(g) → g1
  10. Simplify(h) → h1
  11. FractionText(e2) → text2
  12. SurdText(e3, {sqrt(2), sqrt(3), sqrt(6)}) → text4
  13. FractionText(e1) → text1
  14. SurdText(Element[l2, j], {π}) → text6
  15. SurdText(e21, {π}) → e22