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Distance in 3D Space

Distance in 3D Space
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2020-06-30 17:58
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the calculation of distance between two points in 3D space. Key mathematical concepts include the distance formula in a 3D coordinate system. Using GeoGebra commands such as Segment and Polygon, 3D geometric shapes can be constructed. Suitable for high school mathematics education or students learning 3D geometry.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(A, C) → g
  3. Segment(C, D) → h
  4. Segment(B, D) → i
  5. Segment(C, B) → j
  6. Polygon(A, B, C) → t1, c, a, b
  7. Polygon(C, D, B) → t2, b_1, c_1, d
  8. Angle(C, D, B) → α
  9. Angle(B, C, A) → β

AI Drawing Prompt Reference

Draw two points in a 3D coordinate system and connect them to form a tetrahedron, labeling three faces and two angles to demonstrate the calculation of distance between points in 3D space, highlighting geometric relationships and coordinate geometry concepts through constructed lines and shapes.
The prompt above was compiled from the original drawing commands and is for reference only.