一个立方体从另一个立方体中移除
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这个范例展示了从一个立方体中移除另一个立方体的过程。它涉及立体几何中的交集概念。通过使用GeoGebra中的Polygon, Midpoint, Segment, Vector, Point等命令,可以构造出两个立方体及其交集。适合初中及以上学生学习立体几何。
GeoGebra 命令及参数
Polygon(A, B, 6) → poly1, a, F, b, c, d, e, f, C, D, EMidpoint(D, A) → GSegment(D, G) → gSegment(B, G) → hSegment(G, F) → iVector(G, D) → uPoint(u) → HSegment(G, H) → jCircle(G, H) → kIntersect(k, i) → I,Intersect(k, h) → J,Segment(E, G) → lSegment(G, A) → mSegment(G, C) → pIntersect(k, l) → K,Intersect(k, m) → L,Intersect(k, p) → M,Segment(K, H) → qSegment(K, I) → rSegment(I, L) → sSegment(L, J) → tSegment(J, M) → a_1Segment(M, H) → b_1Segment(F, I) → c_1Segment(K, G) → d_1Segment(G, L) → e_1Segment(J, B) → f_1Segment(G, M) → g_1Segment(D, H) → h_1Polygon(B, C, D, H, M, J) → poly2, b_2, c_2, d_2, h_2, m_1, j_1Polygon(I, K, G, L) → poly3, i_1, k_1, g_2, l_1Polygon(H, K, I, F, E, D) → poly4, h_3, k_2, i_2, f_2, e_2, d_3Polygon(L, G, M, J) → poly5, l_2, g_3, m_2, j_2Polygon(F, I, L, J, B, A) → poly6, f_3, i_3, l_3, j_3, b_3, a_2Polygon(G, M, H, K) → poly8, g_5, m_4, h_5, k_4Ray(O, N) → n_1