Tess 5
几何画板及绘图内容加载中,请稍等……
该范例演示了多边形的平移变换。涉及的核心数学概念包括多边形、向量和平移。通过使用Polygon、Segment、Vector和Translate命令,可以构造出平移后的多边形。适合初中及以上学生学习几何变换。
GeoGebra 命令及参数
Polygon(A, B, 4) → poly1, a, b, c, d, C, DSegment(C, E) → eSegment(E, F) → fSegment(F, G) → gSegment(G, H) → hSegment(H, I) → iSegment(I, J) → jSegment(J, B) → kVector(C, D) → uTranslate(B, u) → B'Translate(C, u) → C'Segment(B', C') → b'Translate(C, u) → C'_1Translate(E, u) → E'Segment(C'_1, E') → e'Translate(E, u) → E'_1Translate(F, u) → F'Segment(E'_1, F') → f'Translate(F, u) → F'_1Translate(G, u) → G'Segment(F'_1, G') → g'Translate(G, u) → G'_1Translate(H, u) → H'Segment(G'_1, H') → h'Translate(H, u) → H'_1Translate(I, u) → I'Segment(H'_1, I') → i'Translate(I, u) → I'_1Translate(J, u) → J'Segment(I'_1, J') → j'Translate(J, u) → J'_1Translate(B, u) → B'_1Segment(J'_1, B'_1) → k'Segment(D, K) → lSegment(K, L) → mSegment(L, M) → nSegment(M, N) → pSegment(N, O) → qSegment(O, P) → rSegment(P, Q) → sSegment(Q, R) → tSegment(R, C) → a_1Vector(D, A) → vTranslate(C, v) → C'_2Translate(D, v) → D'Translate(D, v) → D'_1Translate(C, v) → C'_3Translate(u, v) → u'Translate(C', v) → C''Translate(C'_1, v) → SVector(D, A) → wTranslate(C, w) → C'_4Translate(D, w) → D'_2Segment(C'_4, D'_2) → c'_1Translate(D, w) → D'_3Translate(K, w) → K'Segment(D'_3, K') → l'Translate(K, w) → K'_1Translate(L, w) → L'Segment(K'_1, L') → m'Translate(L, w) → L'_1Translate(M, w) → M'Segment(L'_1, M') → n'Translate(M, w) → M'_1Translate(N, w) → N'Segment(M'_1, N') → p'Translate(N, w) → N'_1Translate(O, w) → O'Segment(N'_1, O') → q'Translate(O, w) → O'_1Translate(P, w) → P'Segment(O'_1, P') → r'Translate(P, w) → P'_1Translate(Q, w) → Q'Segment(P'_1, Q') → s'Translate(Q, w) → Q'_1Translate(R, w) → R'Segment(Q'_1, R') → t'Translate(R, w) → R'_1Translate(C, w) → C'_5Segment(R'_1, C'_5) → b_1Translate(u, w) → u'_1Translate(u', w) → u''Translate(C', w) → C''_1Translate(C'_1, w) → TPolygon(I', O', N', M', L', K', A, J') → poly2, i'_1, o', n'_1, m'_1, l'_1, k'_1, a_2, j'_1Polygon(R', Q', G, H, I, J, B) → poly3, r'_1, q'_1, g_1, h_1, i_1, j_1, b_2Polygon(O, P, N) → poly4, n_1, o, p_1Segment(P, U) → c_1Segment(U, V) → d_1Segment(V, W) → e_1Segment(W, Z) → f_1Segment(Z, C) → k_1Segment(Z, A_1) → l_1Segment(A_1, B_1) → m_1Segment(B_1, C_1) → q_1Segment(C_1, G) → r_1Segment(M, D_1) → s_1Segment(D_1, E_1) → t_1Segment(E_1, F_1) → c_2Segment(F_1, Z) → d_2Segment(M, G_1) → e_2Segment(G_1, H_1) → f_2Segment(H_1, F') → g_2Segment(F', I_1) → h_2Segment(I_1, J_1) → i_2Segment(J_1, I') → j_2Polygon(D, K, L, M, G_1, H_1, F', E') → poly5, d_3, k_2, l_2, m_2, g_3, h_3, f'_1, e'_1Polygon(M, D_1, P', O', I', J_1, I_1, F', H_1, G_1, E_1, F_1, Z, A_1, B_1, C_1, G, Q') → poly6, m_3, q'_2, p'_1, o'_1, i'_2, j_3, i_3, f'_2, h_4, g_5, d_4, e_3, f_3, z, a_3, b_3, c_3, g_4Polygon(M, D_1, E_1, F_1, Z, W, V, U, P, N) → poly7, m_4, n_2, d_5, e_4, f_4, z_1, w_1, v_1, u_1, p_2Polygon(C, Z, W, V, U, P, Q, R) → poly8, c_4, z_2, w_2, v_2, u_2, p_3, q_2, r_2Polygon(Z, C, E, F, G, C_1, B_1, A_1) → poly9, z_3, c_5, e_5, f_5, g_6, c_6, b_4, a_4Polygon(F', I_1, J_1, I', H', G') → poly10, f'_3, i_4, j_4, i'_3, h'_1, g'_1
AI 绘图提示语参考
绘制一个五边形 ABCDE,然后以向量 u 平移五边形 ABCDE,得到新的五边形 A'B'C'D'E'。接着,以点 C 为起点,向点 D 画向量 u,再以向量 u 和 v 平移点 C 和 D,得到点 C'2 和 D'。最后,以点 D'为起点,向点 A 画向量 v,再以向量 v 平移点 D',得到点 D'_1。
以上提示语为根据原始绘图命令整理而来,仅供参考。