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GeoGebra Parabola Example

GeoGebra Parabola Example
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2020-07-07 18:25
FunctionTrigonometryCoordinate GeometryGeometric ConstructionSlider Animation
This example dynamically demonstrates the geometric properties and related elements of a parabola using GeoGebra. It involves core mathematical concepts such as the definition of a parabola, similar triangles, cosine theorem, addition principles, and operations on natural and real numbers. The construction utilizes commands like Intersect and Polygon, with objects including b, f, O, A, eq1, C, k, g, K, q1, o, k_1, a, c. Suitable for high school mathematics teaching to understand parabolas and their geometric transformations.

GeoGebra Commands & Parameters

  1. Intersect(f, xAxis, 2) → O
  2. Intersect(f, xAxis, 1) → A
  3. Intersect(f, eq1, 1) → C
  4. Intersect(eq1, g) → K
  5. Polygon(O, K, A, C) → q1, o, k_1, a, c

AI Drawing Prompt Reference

Draw a parabola that intersects the x-axis at points O and A, and intersects line eq1 at point C, and intersects line g at point K. Then construct a quadrilateral by connecting points O, K, A, and C in sequence.
The prompt above was compiled from the original drawing commands and is for reference only.