四边形及其边与角
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所属专题
Y7 Polygons
①本范例演示四边形的边与角的基本性质与关系;②涉及的核心数学概念包括四边形分类、边长、角度测量、几何作图等;③作图要点——从下方『构造摘要』提炼用到了Line, Segment, Intersect, Distance, Angle, Circle, Point, OrthogonalLine, Mirror等GeoGebra命令/对象;④适合初中及以上学生学习和理解几何图形的基本属性,也可用于高中几何教学演示。
GeoGebra 命令及参数
Line(A, B) → aLine(C, a) → bSegment(C, A) → cLine(B, c) → dSegment(A, B) → eIntersect(b, d) → DSegment(C, D) → fSegment(D, B) → gDistance(A, B) → distanceABAngle(A, B, D) → αAngle(B, D, C) → βAngle(D, C, A) → γAngle(C, A, B) → δSegment(C, B) → iSegment(A, D) → jIntersect(i, j) → ECircle(G, F) → kSegment(G, F) → lPoint(k) → HSegment(G, H) → mLine(H, l) → nLine(F, m) → pIntersect(n, p) → ISegment(H, I) → qSegment(F, I) → rAngle(G, H, I) → εAngle(H, I, F) → ζAngle(I, F, G) → ηAngle(F, G, H) → θSegment(G, I) → sSegment(H, F) → tIntersect(s, t) → JSegment(K, L) → a_1OrthogonalLine(L, a_1) → b_1Point(b_1) → MOrthogonalLine(M, b_1) → c_1OrthogonalLine(K, a_1) → d_1Intersect(c_1, d_1) → NSegment(L, M) → e_1Segment(K, N) → g_1Segment(N, M) → f_1Angle(L, M, N) → ιAngle(M, N, K) → κAngle(N, K, L) → λAngle(K, L, M) → μSegment(K, M) → h_1Segment(L, N) → i_1Intersect(h_1, i_1) → OCircle(P, Q) → k_1Segment(P, Q) → j_1OrthogonalLine(P, j_1) → l_1OrthogonalLine(Q, j_1) → m_1Intersect(k_1, l_1, 2) → SLine(S, j_1) → n_1Intersect(m_1, n_1) → RSegment(P, S) → p_1Segment(S, R) → q_1Angle(Q, P, S) → νAngle(P, S, R) → ξAngle(S, R, Q) → οAngle(R, Q, P) → ρSegment(P, R) → s_1Segment(Q, S) → t_1Intersect(s_1, t_1) → TSegment(Q, R) → r_1Segment(W, U) → a_2Segment(U, V) → b_2Segment(V, W) → c_2Mirror(V, a_2) → XSegment(W, X) → d_2Segment(X, U) → e_2Angle(V, W, X) → σAngle(W, X, U) → τAngle(X, U, V) → υAngle(U, V, W) → φSegment(V, X) → f_2Intersect(a_2, f_2) → ZSegment(A_1, B_1) → g_2Segment(A_1, C_1) → h_2Line(C_1, g_2) → i_2Point(i_2) → D_1Segment(B_1, D_1) → j_2Segment(C_1, D_1) → k_2Angle(A_1, B_1, D_1) → χAngle(B_1, D_1, C_1) → ψAngle(D_1, C_1, A_1) → ωAngle(C_1, A_1, B_1) → α_1Segment(C_1, B_1) → l_2Segment(A_1, D_1) → m_2Intersect(l_2, m_2) → E_1
AI 绘图提示语参考
画一个四边形,标出它的边和角。首先画出四条线段构成四边形,然后找出对边和角的交点。测量并标注四条边的长度以及四个内角的度数。接着,以四边形的一条边为直径画一个圆,圆与四边形其他两条边的交点连接起来,形成一个新的四边形。最后,在这个新四边形中找出对角线的交点,并测量并标注四个新内角的度数。
以上提示语为根据原始绘图命令整理而来,仅供参考。