Geometric Mean Demonstration by Esther Gruenhut

Geometric Mean Demonstration by Esther Gruenhut
Loading the math board and drawing, please wait…
2020-01-31 03:18
This example dynamically demonstrates the concept of geometric mean, particularly involving calculations with cubes, spheres, and cylinders. Key math concepts include geometric mean, solid geometry, and coordinate geometry. GeoGebra commands used in construction are Circle (draw circle), Intersect (intersection points), Segment (line segments), and OrthogonalLine (perpendicular lines). Suitable for high school and above students to learn about solid geometry and geometric mean relationships.

GeoGebra Commands & Parameters

  1. Circle(F, a) → c
  2. Intersect(c, f, 2) → G
  3. Circle(G, b) → d
  4. Intersect(d, f, 2) → H
  5. Segment(F, G) → g
  6. Segment(G, H) → h
  7. Segment(X_1, F) → i
  8. Segment(X_2, X_1) → j
  9. Segment(H, X_3) → k
  10. Segment(X_3, X_5) → l
  11. Circle(M, F) → e
  12. OrthogonalLine(G, i) → m
  13. Intersect(e, m, 2) → Q
  14. Segment(F, Q) → n
  15. Segment(Q, H) → p
  16. Segment(Q, G) → r
  17. Segment(G, X_4) → q
  18. Segment(F, H) → s