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Hyperbola Lab by Lionel Orhiere (3)

Hyperbola Lab by Lionel Orhiere (3)
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2015-03-26 02:12
Coordinate GeometryGeometric ConstructionLocus
This example demonstrates the geometric construction and properties of a hyperbola. Key math concepts include the definition of a hyperbola, foci, asymptotes, and real/virtual axes. Construction highlights the use of GeoGebra commands like Circle, Point, Line, Segment, Midpoint, OrthogonalLine, Intersect, along with objects such as text1, Focus1, B, c, Focus2, AnimateMe, a, b, C, d, D. Suitable for high school and above, helping students understand hyperbolas' geometric definition and parametric representation.

GeoGebra Commands & Parameters

  1. Circle(Focus1, B) → c
  2. Point(c) → AnimateMe
  3. Line(Focus1, AnimateMe) → a
  4. Segment(AnimateMe, Focus2) → b
  5. Midpoint(b) → C
  6. OrthogonalLine(C, b) → d
  7. Intersect(a, d) → D

AI Drawing Prompt Reference

Draw a hyperbola, showing its foci, asymptotes, and real/virtual axes. Start with two foci, then draw a circle centered at one focus with the other point as radius. Connect any point on the circle to the other focus, and draw the perpendicular line from the midpoint of this segment. The intersection points trace out the hyperbola, with the midpoint and intersection points labeled.
The prompt above was compiled from the original drawing commands and is for reference only.