平行四边形的几何作图 by Melissa Patti
几何画板及绘图内容加载中,请稍等……
这个范例演示了如何使用GeoGebra构造平行四边形。核心数学概念包括平行线、距离、旋转等。通过使用Polygon、Segment、Rotate等命令,可以动态地展示平行四边形的性质。适合初中及以上学生学习几何变换和基本的几何作图。
GeoGebra 命令及参数
Polygon(A, B, 4) → poly1, a, b, c, d, C, DSegment(E, F) → eOrthogonalLine(E, e) → fOrthogonalLine(F, e) → gPoint(f) → GPoint(g) → HOrthogonalLine(G, f) → hOrthogonalLine(H, h) → iIntersect(g, h) → IPolygon(E, G, I, F) → poly2, e_1, g_1, i_1, f_1Segment(J, K) → jSegment(L, M) → kLine(N, k) → lLine(M, k) → mSegment(L, N) → nLine(M, n) → pIntersect(l, p) → OPolygon(M, L, N, O) → poly3, m_1, l_1, n_1, oSegment(J, P) → qSegment(K, Q) → rSegment(P, Q) → sPolygon(J, K, Q, P) → poly4, j_1, k_1, q_1, p_1Segment(R, S) → tRotate(R, 40*°, R) → R'Rotate(S, 40*°, R) → S'Segment(R', S') → t'Rotate(R', 140*°, S') → R''Rotate(S', 140*°, S') → S''Segment(R'', S'') → t''Segment(S, R'') → a_1Polygon(R, S, R'', S') → poly5, r_1, s_1, r'', s'Segment(T, U) → b_1LineBisector(b_1) → c_1Point(c_1) → VSegment(T, V) → d_1Line(U, d_1) → h_1Segment(V, U) → t_1Line(T, t_1) → a_2Intersect(c_1, h_1) → WPolygon(T, W, U, V) → poly6, t_2, w, u, vAngle(B, A, D) → αAngle(A, D, C) → βAngle(D, C, B) → γAngle(C, B, A) → δDistance(A, C) → distanceACSegment(A, C) → b_2Segment(D, B) → c_2Distance(D, B) → distanceDBAngle(F, E, G) → εAngle(E, G, I) → ζAngle(G, I, F) → ηAngle(I, F, E) → θSegment(E, I) → d_2Segment(G, F) → e_2Distance(E, I) → distanceEIDistance(G, F) → distanceGFAngle(V, T, W) → ιAngle(T, W, U) → κAngle(W, U, V) → λAngle(U, V, T) → μSegment(T, U) → f_2Segment(V, W) → g_2Distance(T, U) → distanceTUDistance(W, V) → distanceWVDistance(V, U) → distanceVUDistance(U, W) → distanceUWIntersect(f_2, g_2) → ZDistance(T, Z) → distanceTZDistance(Z, U) → distanceZUDistance(V, Z) → distanceVZDistance(Z, W) → distanceZWIntersect(d_2, e_2) → A_1Distance(E, A_1) → distanceEA1Distance(A_1, G) → distanceA1GDistance(A_1, I) → distanceA1IDistance(A_1, F) → distanceA1FIntersect(b_2, c_2) → B_1Distance(A, B_1) → distanceAB1Distance(B_1, C) → distanceB1CDistance(B_1, B) → distanceB1BDistance(B_1, D) → distanceB1DAngle(M, L, N) → νAngle(L, N, O) → ξAngle(N, O, M) → οAngle(O, M, L) → ρSegment(L, O) → h_2Segment(N, M) → i_2Intersect(h_2, i_2) → C_1Distance(L, C_1) → distanceLC1Distance(C_1, O) → distanceC1ODistance(C_1, M) → distanceC1MDistance(C_1, N) → distanceC1NDistance(M, O) → distanceMODistance(O, N) → distanceONDistance(E, G) → distanceEGDistance(G, I) → distanceGI
AI 绘图提示语参考
绘制一个平行四边形,使用点A和B作为对角线的两个端点,通过旋转和构造平行线来创建其他边。首先,构造一个四边形ABCD,然后通过旋转点D和点C来创建新的点D'和C',并连接这些点形成新的平行四边形。接着,通过点A和B构造对角线,使用线段和旋转命令创建平行四边形的其他边,最后通过旋转和构造平行线来完成整个图形的构建。
以上提示语为根据原始绘图命令整理而来,仅供参考。