Pyramid and Hyperbola Intersection Demo

Pyramid and Hyperbola Intersection Demo
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2016-03-13 00:27
This example demonstrates the intersection points between a pyramid and a hyperbola, highlighting geometric properties. Key math concepts include pyramid geometry, hyperbola equations, centroid and orthocenter calculations, and logarithmic functions. Construction involves commands like segment, midpoint, orthogonal line, point, line, intersect, mirror, and polygon in GeoGebra. Suitable for high school and above students to explore the integration of spatial geometry and analytical geometry.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Midpoint(a) → C
  3. OrthogonalLine(C, a) → b
  4. Point(b) → D
  5. Segment(A, D) → c
  6. Segment(A, C) → d
  7. Point(d) → E
  8. Line(E, c) → e
  9. Intersect(b, e) → F
  10. Mirror(E, b) → E'
  11. Polygon(E, F, E') → poly1, e', e_1, f