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Exercise 3 (Solution)

Exercise 3 (Solution)
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2023-03-14 02:09
VectorSolid GeometryGeometric Construction
In collections geometriadinamica.es
This example demonstrates vector and translation in 3D space. Key mathematical concepts include vectors and geometric transformations in 3D space. Using GeoGebra commands such as Segment, Line, Intersect, Midpoint, and Polygon, the construction of 3D geometric shapes is illustrated. Suitable for high school or university mathematics education and learning.

GeoGebra Commands & Parameters

  1. Segment(B, C) → a
  2. Segment(B, A) → b
  3. Line(A, a) → c
  4. Line(C, b) → d
  5. Intersect(c, d) → D
  6. Midpoint(D, B) → M
  7. Polygon(D, C, B, A) → P, d_1, c_1, b_1, a_1

AI Drawing Prompt Reference

In 3D space, start with three non-collinear points A, B, and C. First, create line segments connecting B to C and B to A. Then draw a line through point A that is parallel to the segment BC, and draw another line through point C that is parallel to the segment BA. These two lines intersect at point D. Next, connect points D, C, B, and A in sequence to form a quadrilateral. Finally, locate the midpoint M of the line segment connecting points D and B.
The prompt above was compiled from the original drawing commands and is for reference only.