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Parabola and Triangle

Parabola and Triangle
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2020-01-25 22:10
VectorCoordinate GeometryGeometric Construction
This example demonstrates the spatial relationship between a parabola and a triangle, including intersection point calculations. Key math concepts involve parabola equations, coordinate geometry, vector operations, and geometric constructions. GeoGebra commands used include point creation, parabola generation, intersection finding, segment drawing, and area calculation. Suitable for high school students and math enthusiasts studying parabola properties and geometric applications.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Parabola(A, yAxis) → c
  3. Parabola(A, xAxis) → d
  4. Intersect(d, yAxis, 1) → B
  5. Point(d) → C
  6. Point(d) → D
  7. Segment(C, D) → g
  8. PointIn(d) → 点d_1
  9. PointIn(d) → 点d_2
  10. PointIn(d) → 点d_3
  11. PointIn(d) → 点d_4
  12. PointIn(d) → 点d_5
  13. PointIn(d) → 点d_6
  14. PointIn(d) → 点d_7
  15. PointIn(d) → 点d_8
  16. PointIn(d) → 点d_9
  17. PointIn(d) → 点d_{10}
  18. Point(d) → E
  19. Segment(C, E) → f
  20. Segment(E, D) → h
  21. Area(D, C, E) → a
  22. PointIn(d) → 点d