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Slippery Surface 03

Slippery Surface 03
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2015-05-28 15:42
PolygonVectorGeometric Construction
In collections Slippery surface
This example demonstrates a geometric construction related to a slippery surface, using polygons and vectors to illustrate sliding effects. Core mathematical concepts include distributions, Pythagorean theorem, difference and slope, perimeter, and rational numbers. The construction utilizes GeoGebra commands and objects such as Polygon, Segment, Intersect, Vector, PolyLine, and Translate. Suitable for high school mathematics education to understand geometric transformations and related concepts.

GeoGebra Commands & Parameters

  1. Polygon(E, F, B, N, O, R, S, T, U, V, W, Z, G, A_1, B_1, C_1, D_1, E_1, F_1, G_1, H_1, I_1, J_1, H, K_1, L_1, M_1, N_1, O_1, P_1, Q_1, R_1, I, J, K, L, M, A) → camino, c, m, p, q, i_1, s_1, t_1, c_2, d_2, e_2, f_2, d, g_2, h_2, j_2, k_2, l_2, m_2, n_2, p_2, q_2, r_2, e, s_2, t_2, a_3, b_3, c_3, d_3, e_3, f_3, g_3, f, g, h, j, k, l
  2. Segment(Q, P) → segmento
  3. Intersect(segmento, camino) → corte, corte_1, corte_2, corte_3
  4. Segment(C, D) → llegada
  5. Intersect(llegada, segmento) → corteganador
  6. Vector(ejemplo, ejemplopunta) → ejemplovector
  7. PolyLine(listarastro) → rastro
  8. Vector(controles + (1, 1), controles + (0, 1)) → izq
  9. Vector(controles + (2, 0.5), controles + (2, 1.5)) → arr
  10. Vector(controles + (3, 1.5), controles + (3, 0.5)) → aba
  11. Vector(controles + (4, 1), controles + (5, 1)) → der
  12. Vector(ejemplo, puntoexplicado) → vectorexplicado_1
  13. Vector(puntoexplicado, ejemplopunta) → vectorexplicado_2
  14. Vector(P, P + (i * (Q - P))) → segmentovisible
  15. Polygon((0, 0), (0.8, 0), (0.8, 1.8), (0, 1.8)) → rectangulito, rectangulito_2, rectangulito_3, rectangulito_4, rectangulito_5
  16. Translate(Rotate[rectangulito, 90*°], controles + (5.4, 0.6)) → der_F
  17. Translate(rectangulito, controles + (2.6, 0.1)) → aba_F
  18. Translate(rectangulito, controles + (1.6, 0.1)) → arr_F
  19. Translate(Rotate[rectangulito, 90*°], controles + (1.4, 0.6)) → izq_F