正方体在平面上的投影
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这个范例演示了正方体在平面上的投影。核心数学概念包括立体几何和投影变换。通过使用GeoGebra命令如Circle, Point, Angle, Segment等,可以构造出正方体及其投影。适合高中或大学的立体几何课程使用。
GeoGebra 命令及参数
Circle(I_1, 0.6) → k_2Point(k_2) → K_1Point(k_2) → J_1Angle(J_1, I_1, K_1) → b_1Circle(I, 0.6) → k_1Point(k_1) → KPoint(k_1) → JAngle(J, I, K) → a_1Segment(A', B') → iSegment(B', C') → jSegment(C', D') → kSegment(D', A') → lSegment(B', F') → mSegment(F', E') → nSegment(A', E') → pSegment(E', H') → rSegment(G', H') → sSegment(G', F') → tSegment(G', C') → i_1Segment(H', D') → j_1Ray(A', A) → l_1Ray(B', B) → m_1Ray(F', F) → n_1Ray(E', E) → p_1Ray(G', G) → q_1Ray(H', H) → r_1Ray(D', D) → s_1Ray(C', C) → t_1Ellipse(L, M, N) → p_2Segment(A, B) → cSegment(A, E) → dSegment(E, F) → eSegment(B, F) → fSegment(F, G) → gSegment(H, E) → hSegment(D, A) → c_1Segment(C, B) → d_1Segment(D, C) → e_1Segment(H, G) → f_1Segment(G, C) → g_1Segment(D, H) → h_1Polygon(A, B, C, D) → Vieleck1, a_2, b_2, c_2, d_2Polygon(A', B', C', D') → Vieleck2, a', b', c', d'Polygon(C, B, F, G) → Vieleck3, c_3, b_3, f_2, g_2Polygon(C', B', F', G') → Vieleck4, c'_1, b'_1, f', g'Polygon(C, D, H, G) → Vieleck5, c_4, d_3, h_2, g_3Polygon(C', G', H', D') → Vieleck6, c'_2, g'_1, h', d'_1Polygon(E, F, G, H) → Vieleck7, e_2, f_3, g_4, h_3Polygon(E', F', G', H') → Vieleck8, e', f'_1, g'_2, h'_1Polygon(A, B, F, E) → Vieleck9, a_3, b_4, f_4, e_3Polygon(A', B', F', E') → Vieleck10, a'_1, b'_2, f'_2, e'_1Polygon(A, D, H, E) → Vieleck11, a_4, d_4, h_4, e_4Polygon(A', D', H', E') → Vieleck12, a'_2, d'_2, h'_2, e'_2