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Parabola Construction by Laurie Cotton

Parabola Construction by Laurie Cotton
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2015-08-03 21:53
TrigonometryCoordinate GeometryCalculusGeometric Construction
This example demonstrates the geometric construction of a parabola. It involves core mathematical concepts such as parabola, Pythagorean theorem, derivative, trigonometry, orthocenter, and circumcircle. The construction utilizes GeoGebra commands and objects like Line, Point, OrthogonalLine, LineBisector, Intersect, and Locus. Suitable for high school and above students to understand the construction and application of related mathematical concepts.

GeoGebra Commands & Parameters

  1. Line(B, C) → a
  2. Point(a) → D
  3. OrthogonalLine(D, a) → b
  4. LineBisector(A, D) → c
  5. Intersect(c, b) → E
  6. Locus(E, D) → loc1

AI Drawing Prompt Reference

Draw a parabola. The figure consists of a line, a perpendicular line segment, an angle bisector, an intersection point, and a circle centered at the intersection point with the line segment as radius. The construction order is: draw the line, then the perpendicular line segment, then the angle bisector, then find the intersection point, and finally draw the circle.
The prompt above was compiled from the original drawing commands and is for reference only.