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Angle Between Two Planes by Li HC

Angle Between Two Planes by Li HC
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2016-10-26 07:54
VectorSolid GeometryGeometric Construction
This example demonstrates how to calculate the angle between two planes. It involves core mathematical concepts like plane equations, normal vectors, and the dot product formula. Constructed using GeoGebra commands such as Line, Point, Angle, PointIn, Polygon to draw planes, normal vectors, and calculate the angle α. Suitable for high school solid geometry teaching and geometric construction practice.

GeoGebra Commands & Parameters

  1. Line(B, A) → c
  2. Point(c) → C
  3. Line(C, E) → d
  4. Line(D, C) → e
  5. Angle(c, e) → α
  6. Angle(c, d) → β
  7. PointIn(b) → F
  8. Point(c) → G
  9. Point(c) → H
  10. Polygon(F, G, H) → poly1, h, f, g
  11. PointIn(a) → I
  12. Polygon(H, I, G) → poly2, g_1, h_1, i