风筝的几何构造 by Mr Duncan
几何画板及绘图内容加载中,请稍等……
①本范例演示风筝形状的几何构造及其相关性质;②涉及的核心数学概念包括多边形、角、圆、切线、中点、垂线等;③作图要点提炼自构造摘要,使用了Circle(圆)、Tangent(切线)、Intersect(交点)、Segment(线段)、Line(直线)、Midpoint(中点)、OrthogonalLine(垂线)、Angle(角度)等GeoGebra命令;④适合高中阶段学习几何作图、解析几何及多边形性质的学生使用。
GeoGebra 命令及参数
Circle(B_2, 21.43318565057029) → dCircle(C_2, 16.02850007793855) → eCircle(D_2, 21.97966183159147) → fCircle(E_2, 19.85274664077369) → gCircle(F_2, 8.503832872485338) → hTangent(H, d) → k, lTangent(I, f) → m, nTangent(L, g) → p, qTangent(D, e) → r, sTangent(K, h) → t, aIntersect(d, l, 1) → MIntersect(d, k, 1) → NIntersect(h, a, 1) → QIntersect(h, t, 1) → RIntersect(e, s, 1) → CIntersect(e, r, 1) → AIntersect(f, m, 1) → UIntersect(f, n, 1) → VIntersect(g, q, 1) → WIntersect(g, p, 1) → ZSegment(U, I) → bSegment(I, V) → f_1Segment(L, Z) → g_1Segment(W, L) → h_1Segment(K, R) → i_1Segment(K, Q) → j_1Segment(D, C) → k_1Segment(H, N) → l_1Segment(H, M) → m_1Segment(A, D) → q_1Segment(B_2, N) → t_1Segment(B_2, M) → a_1Segment(C_2, A) → b_1Segment(C_2, C) → c_1Segment(F_2, Q) → d_1Segment(F_2, R) → e_1Segment(E_2, W) → f_2Segment(E_2, Z) → g_2Segment(D_2, V) → h_2Segment(D_2, U) → i_2Line(A, k_1) → j_2Midpoint(A, D) → A_1OrthogonalLine(A_1, q_1) → k_2Intersect(j_2, k_2) → BSegment(D, B) → l_2Segment(B, A) → m_2Angle(N, H, M) → αAngle(M, B_2, N) → βAngle(U, I, V) → γAngle(A, D, C) → δSegment(E_2, L) → n_2Intersect(g, n_2, 1) → C_1OrthogonalLine(C_1, n_2) → p_2Intersect(p_2, h_1) → D_1Segment(C_1, D_1) → q_2Intersect(p_2, g_1) → E_1Segment(C_1, E_1) → r_2Angle(W, E_2, C_1) → εLine(R, j_1) → s_2Line(Q, i_1) → t_2Line(F_2, K) → a_2OrthogonalLine(K, a_2) → b_2Intersect(s_2, b_2) → EIntersect(t_2, b_2) → FSegment(R, E) → c_2Segment(E, F) → d_2Segment(F, Q) → e_2Angle(K, F, Q) → ζAngle(H, M, B_2) → ηAngle(B_2, N, H) → θ
AI 绘图提示语参考
画一个风筝的几何构造图,包含三个圆,分别以不同点为圆心,画出圆与圆的切线,再求切线的交点得到风筝的顶点,连接这些顶点形成风筝的边,并标注出风筝的对角线和中点,最后画出对角线的中垂线,展示风筝的对称性和相关角度。
以上提示语为根据原始绘图命令整理而来,仅供参考。