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Unstable Snowman

Unstable Snowman
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2019-09-30 06:41
CircleInequalityGeometric Construction
This is an interesting geometric puzzle that demonstrates how to construct an unstable snowman model by adjusting the position and size of circles. Key mathematical concepts include circles, geometric construction, and inequalities. Using GeoGebra commands such as Intersect, Point, Polygon, Segment, and Midpoint, the stability of the snowman can be dynamically adjusted. Suitable for middle school and above students or teachers for geometry teaching and exploration.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
  4. Segment(A, C) → e
  5. Midpoint(A, C) → E
  6. OrthogonalLine(E, b) → f
  7. Intersect(f, b) → F
  8. Circle(E, 1 / k) → g
  9. Intersect(g, e, 2) → G
  10. Segment(E, G) → h
  11. Point(h) → H
  12. OrthogonalLine(H, b) → i
  13. Intersect(i, b) → I
  14. Circle(H, I) → p
  15. Intersect(p, e, 1) → J
  16. Segment(H, I) → R
  17. Circle(J, r) → q
  18. Intersect(q, e, 1) → K
  19. Circle(K, J) → s