多边形外角和 by Kelly Haydukewich
几何画板及绘图内容加载中,请稍等……
①本范例演示多边形外角和的性质;②涉及核心数学概念包括外角、多边形内角和定理;③作图要点:使用Polygon(多边形)、Ray(射线)、Point(点)、Segment(线段)、Angle(角)等GeoGebra命令;④适合初中及以上学生学习多边形几何性质,用于教学演示和概念理解。
GeoGebra 命令及参数
Polygon(A, B, C, D) → poly1, a, b, c, dPolygon(E, F, G) → poly2, g, e, fPolygon(H, I, J, K, L) → poly3, h, i, j, k, lPolygon(M, N, O, P, Q, R) → poly4, m, n, o, p, q, rRay(F, G) → sRay(G, E) → tRay(E, F) → a_1Ray(B, C) → b_1Ray(C, D) → c_1Ray(D, A) → d_1Ray(A, B) → e_1Ray(K, L) → f_1Ray(L, H) → g_1Ray(H, I) → h_1Ray(I, J) → i_1Ray(J, K) → j_1Ray(N, O) → k_1Ray(O, P) → l_1Ray(P, Q) → m_1Ray(Q, R) → n_1Ray(R, M) → p_1Ray(M, N) → q_1Point(f_1) → SPoint(g_1) → TPoint(h_1) → UPoint(i_1) → VPoint(j_1) → WPoint(q_1) → ZPoint(k_1) → A_1Point(m_1) → B_1Point(n_1) → C_1Point(p_1) → D_1Point(l_1) → E_1Point(b_1) → F_1Point(c_1) → G_1Point(d_1) → H_1Point(e_1) → I_1Point(s) → J_1Point(t) → K_1Point(a_1) → L_1Segment(G, K_1) → r_1Segment(E, L_1) → s_1Segment(F, J_1) → t_1Segment(C, G_1) → a_2Segment(D, H_1) → b_2Segment(A, I_1) → c_2Segment(B, F_1) → d_2Segment(H, U) → e_2Segment(I, V) → f_2Angle(K_1, E, F) → αAngle(L_1, F, G) → βAngle(J_1, G, E) → γAngle(H_1, A, I_1) → δAngle(I_1, B, C) → εAngle(F_1, C, D) → ζAngle(G_1, D, A) → ηSegment(S, K) → g_2Segment(L, T) → h_2Segment(J, W) → i_2Angle(S, L, T) → θAngle(T, H, I) → ιAngle(V, J, K) → λAngle(W, K, L) → μSegment(Q, C_1) → j_2Segment(R, D_1) → k_2Segment(M, Z) → l_2Segment(N, A_1) → m_2Segment(O, E_1) → n_2Segment(P, B_1) → p_2Angle(C_1, R, M) → νAngle(D_1, M, N) → ξAngle(Z, N, O) → οAngle(A_1, O, P) → ρAngle(E_1, P, Q) → σAngle(B_1, Q, R) → τAngle(U, I, J) → κ
AI 绘图提示语参考
画一个多边形,并展示其外角和。首先绘制几个不同边数的多边形,然后在每个顶点处画出外角,用射线表示。接着,将这些外角的顶点和相邻顶点连接起来,形成新的多边形。最后,用不同颜色或线型区分内外角,突出外角和为360度的性质,适合教学演示。
以上提示语为根据原始绘图命令整理而来,仅供参考。