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Exponents Game - Level 5

Exponents Game - Level 5
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2019-07-16 21:57
CirclePolygonGeometric ConstructionSlider Animation
This example demonstrates exponent rules through a puzzle game. It involves core math concepts like exponent operations, cubes, circumcircle, subtraction, rectangles, and similar triangles. Constructed using GeoGebra commands such as Intersect, Polygon, and Point with objects A, B, C, D, etc. Suitable for middle school and above to practice exponent rules and enhance mathematical application skills.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Polygon(A, B, C, D) → polyA6, a, b, c, d
  3. Point(yAxis) → F
  4. Polygon(D, C, E, F) → polyA5, d_1, c_1, e, f
  5. Point(yAxis) → H
  6. Polygon(F, E, G, H) → polyA4, f_1, e_1, g, h
  7. Point(yAxis) → J
  8. Polygon(J, I, K, L) → polyA2, j_1, i_1, k, l
  9. Polygon(L, K, M, N) → polyA1, l_1, k_1, m, n
  10. Polygon(B, O, P, C) → polyB6, b_1, o, p, c_2
  11. Polygon(C, P, Q, E) → polyB5, c_3, p_1, q, e_2
  12. Polygon(E, Q, R, G) → polyB4, e_3, q_1, r, g_2
  13. Polygon(G, R, S, I) → polyB3, g_3, r_1, s, i_2
  14. Polygon(I, S, T, K) → polyB2, i_3, s_1, t, k_2
  15. Polygon(K, T, U, M) → polyB1, k_3, t_1, u, m_1
  16. Point(xAxis) → V
  17. Polygon(O, V, W, P) → polyC6, o_1, v, w, p_2
  18. Polygon(P, W, Z, Q) → polyC5, p_3, w_1, z_1, q_2
  19. Polygon(Q, Z, A_1, R) → polyC4, q_3, z_2, a_1, r_2
  20. Polygon(R, A_1, B_1, S) → polyC3, r_3, a_2, b_2, s_2
  21. Polygon(S, B_1, C_1, T) → polyC2, s_3, b_3, c_4, t_2
  22. Polygon(T, C_1, D_1, U) → polyC1, t_3, c_5, d_2, u_1
  23. Point(xAxis) → E_1
  24. Polygon(V, E_1, F_1, W) → polyD6, v_1, e_4, f_2, w_2
  25. Polygon(W, F_1, G_1, Z) → polyD5, w_3, f_3, g_4, z_3
  26. Polygon(Z, G_1, H_1, A_1) → polyD4, z_4, g_5, h_2, a_3
  27. Polygon(A_1, H_1, I_1, B_1) → polyD3, a_4, h_3, i_4, b_4
  28. Polygon(B_1, I_1, J_1, C_1) → polyD2, b_5, i_5, j_2, c_6
  29. Polygon(C_1, J_1, K_1, D_1) → polyD1, c_7, j_3, k_4, d_3
  30. Point(xAxis) → L_1
  31. Polygon(E_1, L_1, M_1, F_1) → polyE6, e_5, l_2, m_2, f_4
  32. Polygon(F_1, M_1, N_1, G_1) → polyE5, f_5, m_3, n_1, g_6
  33. Polygon(G_1, N_1, O_1, H_1) → polyE4, g_7, n_2, o_2, h_4
  34. Polygon(H_1, O_1, P_1, I_1) → polyE3, h_5, o_3, p_4, i_6
  35. Polygon(I_1, P_1, Q_1, J_1) → polyE2, i_7, p_5, q_4, j_4
  36. Polygon(J_1, Q_1, R_1, K_1) → polyE1, j_5, q_5, r_4, k_5
  37. Point(xAxis) → S_1
  38. Polygon(L_1, S_1, T_1, M_1) → polyF6, l_3, s_4, t_4, m_4
  39. Polygon(M_1, T_1, U_1, N_1) → polyF5, m_5, t_5, u_2, n_3
  40. Polygon(N_1, U_1, V_1, O_1) → polyF4, n_4, u_3, v_2, o_4
  41. Polygon(O_1, V_1, W_1, P_1) → polyF3, o_5, v_3, w_4, p_6
  42. Polygon(P_1, W_1, Z_1, Q_1) → polyF2, p_7, w_5, z_5, q_6
  43. Polygon(Q_1, Z_1, A_2, R_1) → polyF1, q_7, z_6, a_5, r_5

AI Drawing Prompt Reference

Draw a complex geometric figure composed of multiple polygons and circles. The center of the figure is the intersection of the coordinate axes, with multiple nested polygons extending outward, each formed by connecting four points. These polygons connect through shared edges and vertices, creating a puzzle-like structure. The entire figure exhibits symmetry and a hierarchical arrangement, suitable for demonstrating geometric construction and similar triangles.
The prompt above was compiled from the original drawing commands and is for reference only.