平移与旋转变换
几何画板及绘图内容加载中,请稍等……
本范例演示了平移和旋转变换的概念。通过使用向量和旋转命令,可以创建动态的几何图形。构造摘要中提到了使用Vector, Translate, Polygon, Segment, Angle, Point等命令。适合初中及以上学生学习几何变换。
GeoGebra 命令及参数
Vector(E, F) → a_{1}Vector(S, T) → uVector(U, V) → vVector(W, Z) → wVector(A_1, B_1) → aTranslate(pic4, a_{1}) → pic4'Translate(pic5, u) → pic5'Translate(pic3, v) → pic3'Translate(pic6, w) → pic6'Translate(pic8, a) → pic8'Translate(pic7, a) → pic7'Vector(W_{1}, Z_{1}) → w_{1}Translate(pic6_{1}, w_{1}) → pic6'_{1}Vector(A_{2}, B_{2}) → a_{2}Translate(pic8_{1}, a_{2}) → pic8'_{1}Translate(pic7_{1}, a_{2}) → pic7'_{1}Vector(U_{1}, V_{1}) → v_{1}Translate(pic3_{1}, v_{1}) → pic3'_{1}Vector(E_{1}, F_{1}) → a_{3}Translate(pic4_{1}, a_{3}) → pic4'_{1}Vector(S_{1}, T_{1}) → u_{1}Translate(pic5_{1}, u_{1}) → pic5'_{1}Polygon(C_1, D_1, G_1, H_1) → q1, c_1, d_1, g_1, h_1Polygon(C_{2}, D_{2}, G_{2}, H_{2}) → q1_{1}, c_{2}, d_{2}, g_{2}, h_{2}Segment(K_1, E') → cmSegment(A', B') → fSegment(C', B') → gSegment(P_1, Q_1) → iSegment(R_1, Q_1) → jSegment(E_2, F_2) → kVector(I_2, J_2) → bVector(I_1, J_1) → cAngle(R_1, Q_1, P_1) → αTranslate(P_1, c) → L_1Translate(Q_1, c) → M_1Segment(L_1, M_1) → i'Translate(R_1, c) → N_1Translate(Q_1, c) → O_1Segment(N_1, O_1) → j'Segment(O_2, P_2) → hPoint(h) → Q_2Point(h) → K_2Segment(O_{3}, P_{3}) → h_{3}Point(h_{3}) → Q_{3}Point(h_{3}) → K_{3}Translate(O_2, b) → L_2Translate(P_2, b) → M_2Translate(O_2, c) → N_2Translate(P_2, c) → R_2Segment(N_2, R_2) → h'Translate(Q_2, c) → S_2Translate(K_2, c) → T_2Angle(N_1, M_1, L_1) → βPolygon(U_2, V_2, W_2, Z_2) → q2, u_2, v_2, w_2, z_2
AI 绘图提示语参考
请绘制一个包含多个图形变换的几何图形。首先创建一些基本点,然后使用向量和变换命令将它们平移和旋转。图形中应包含平移后的图形、旋转后的图形以及由这些变换生成的新图形。确保图形中的对象关系清晰,变换顺序合理,以展示翻译和旋转的概念。
以上提示语为根据原始绘图命令整理而来,仅供参考。