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正方形与菱形的几何作图

正方形与菱形的几何作图
几何画板及绘图内容加载中，请稍等……
2020-04-30 19:29
多边形变换几何作图
这个范例演示了如何使用GeoGebra绘制正方形和菱形。它涉及几何作图的核心概念，如构造多边形、旋转、交点等。通过使用Polygon、Prism、Midpoint、Rotate、Intersect等命令，用户可以了解这些基本几何对象的构造方法。适合初中及以上学生和教师使用。

GeoGebra 命令及参数

  1. Polygon(A, B, C, D) → vierhoek1, a, b, c, d
  2. Prism(vierhoek1, 4) → e, E, RibbeAE, RibbeBF, RibbeCG, RibbeDH, RibbeEF, RibbeFG, RibbeGH, RibbeEH, F, G, H, zijvlakABFE, zijvlakBCGF, zijvlakCDHG, zijvlakADHE, zijvlakEFGH
  3. Midpoint(RibbeBF) → I
  4. Midpoint(RibbeDH) → J
  5. Polygon(G, K, M) → driehoek1, m, g, k
  6. Polygon(G, M, L) → driehoek2, l, g_1, m_1
  7. Polygon(K, B, A, M) → vierhoek2, k_1, b_1, a_1, m_2
  8. Polygon(M, A, D, L) → vierhoek3, m_3, a_2, d_1, l_1
  9. Polygon(G, L, H) → driehoek3, h, g_2, l_2
  10. Polygon(F, K, G) → driehoek4, g_3, f, k_2
  11. Rotate(O, 45°, N) → O'
  12. Polygon(N, O, P, O') → vierhoek4, n, o, p, o'
  13. Prism(vierhoek4, 4) → i, Q, RibbeNQ, RibbeOR, RibbePS, RibbeO'T, RibbeQR, RibbeRS, RibbeST, RibbeQT, R, S, T, zijvlakNORQ, zijvlakOPSR, zijvlakO'PST, zijvlakNO'TQ, zijvlakQRST
  14. Polygon(U, W, R) → driehoek5, r, u, w
  15. Polygon(R, W, V) → driehoek6, v, r_1, w_1
  16. Polygon(N, O', W, U) → vierhoek5, n_1, j, w_2, u_1
  17. Polygon(W, O', P, V) → vierhoek6, w_3, q, p_1, v_1
  18. Polygon(R, V, S) → driehoek7, s, r_2, v_2
  19. Polygon(Q, U, R) → driehoek8, r_3, q_1, u_2
  20. Polygon(B_1, C_1, D_1, E_1, F_1, G_1) → veelhoek1, f_1, h_1, i_1, e_1, j_1, s_1
  21. Polygon(F_1, E_1, H_1, I_1, J_1, K_1) → veelhoek2, t_1, f_2, h_2, i_2, j_2, n_2
  22. Intersect(i_2, j_2) → L_1
  23. Intersect(h_2, i_2) → M_1
  24. Polygon(L_1, M_1, N_1, O_1, P_1, Q_1) → veelhoek3, p_2, q_2, s_2, o_1, t_2, b_2
  25. Polygon(R_1, S_1, T_1, U_1, V_1, W_1) → veelhoek4, c_2, d_2, e_2, f_3, h_3, i_3
  26. Point(c_2) → A_2
  27. Polygon(Z_1, P_1, O_1, B_2, T_1, A_2) → veelhoek5, z_1, j_3, k_3, l_3, n_3, p_3