Loupe II a

Loupe II a
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2016-05-31 22:55
In collections Function-Loupe
This example demonstrates a 3D geometric solid with a magnifying effect, focusing on statistical characteristics and secant lines. It involves polygon construction, midpoints, segments, conditional logic, locus generation, function graphing, and coordinate geometry. Suitable for high school and above to explore 3D shapes and dynamic function transformations.

GeoGebra Commands & Parameters

  1. Textfield(f) → Textfeld1
  2. Point(f) → A
  3. Polygon(A + ((-h), (-h)), A + (h, (-h)), A + (h, h), A + ((-h), h)) → Lupe, i, j, k, l
  4. Midpoint(A_l, Al) → B
  5. Midpoint(A, Ar) → C
  6. Segment(A_l, Al) → b
  7. Segment(A + (h, (-h)), A + (2 * (h, (-h)))) → griff1
  8. Segment(A + (min, (-min)), A + (2 * (min, (-min)))) → griff2
  9. If(h > min, griff1, griff2) → griff
  10. Locus(P_l, A) → Sekantensteigung_l
  11. Locus(P_r, A) → Sekantensteigung_r
  12. Polygon(F, G, D, E) → Vieleck4, f_2, g_2, d_2, e_2
  13. Line(A_l, A) → sek_l
  14. Line(A, A_r) → sek_r