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AM 2019 P2 Q7

AM 2019 P2 Q7
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2020-06-11 13:20
FunctionTrigonometrySequence
This example demonstrates the solution process of AM 2019 P2 Q7. It involves quadratic equations and sequences. Using commands like Element, Polynomial, Simplify, If, and Solutions, it constructs related function graphs and sequences. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Element(m1, e) → l2
  2. Element(l2, 2) → b
  3. Element(l2, 1) → a
  4. Polynomial(((x + a) * (x - b))) → f
  5. Simplify(g'(x)) → g1
  6. If((b - a) / 2 ≟ 2 ∨ (b - a) / 2 ≟ 2.5, 3, 2) → c
  7. Polynomial(h) → p
  8. Solutions(h = 0) → l1

AI Drawing Prompt Reference

Draw a quadratic function graph whose roots are determined by two numbers extracted from a sequence. First identify these two numbers, then construct the quadratic polynomial with them as roots and plot the corresponding parabola. Also, based on half the difference of these numbers, decide a constant value and draw a horizontal line. Additionally, plot another function's curve and mark its intersections with the x-axis. The overall figure illustrates the interplay of functions, sequences, and trigonometric relations.
The prompt above was compiled from the original drawing commands and is for reference only.