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Angle Between Two Planes by Li HC (2)

Angle Between Two Planes by Li HC (2)
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2016-05-31 13:10
AngleCoordinate GeometrySolid Geometry
This example demonstrates how to construct the angle between two planes using GeoGebra. Key mathematical concepts include planes and angles. Commands used include Polygon, Segment, and Angle. Suitable for high school solid geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Polygon(B, C, D) → poly2, d, b_1, c_1
  3. Polygon(B, C, A'', A') → poly3, b_2, c_2, a'', a'
  4. Polygon(C, D'', D', B) → poly4, c_3, d'', d', b_3
  5. Segment(A, X) → f
  6. Segment(D, X) → g
  7. Angle(A, X, D) → α

AI Drawing Prompt Reference

Draw the angle between two planes. First, create a plane with points A, B, and C. Then, add point D to form the second plane. Draw perpendicular lines from A and D, and finally calculate the angle α formed by these lines at their intersection with the planes.
The prompt above was compiled from the original drawing commands and is for reference only.