等积图形的面积
几何画板及绘图内容加载中,请稍等……
本范例展示了三个关于等积图形面积的问题。涉及的核心数学概念包括几何作图、变换和解析几何。通过使用旋转文本、点、平移、线段、多边形等GeoGebra命令,学生可以直观地理解等积图形的性质。适合初中及以上学生学习。
GeoGebra 命令及参数
RotateText("uStas\;\&\;Т.С.", 90*°) → надпись01Point(Arc[Circle[B, 0.5], 0, 3]) → CPoint(Segment[A, B]) → MTranslate(M, Vector[B, C]) → NSegment(M, N) → ePolygon(A, M, D) → s1, d, a, mPolygon(N, D, M) → s2, m_1, n, d_1Polygon(M, B, C) → s3, b, f, gPolygon(C, N, M) → s4, c, h, iPolygon(A, B, C, D) → s5, a_4, b_5, c_5, d_6Polygon(C, M, D) → s6, d_7, c_6, m_{10}Point(Arc[Circle[B_2, 0.5], 0, 3]) → C_2Polygon(A_2, B_2, C_2, D_2) → s7, a_2, b_2, c_2, d_2Polygon(A_2 + (0.01, 0.01), B_2 + (-0.01, 0.01), C_2 + (-0.01, -0.01), D_2 + (0.01, -0.01)) → s8, l, p, q, rPointIn(s8) → M_2Line(M_2, Line[A_2, D_2]) → jIntersect(j, a_2) → N_1Intersect(j, c_2) → N_2Segment(N_1, N_2) → h_1Line(M_2, Line[A_2, B_2]) → kIntersect(d_2, k) → L_1Intersect(k, b_2) → L_2Segment(L_1, L_2) → i_1Polygon(A_2, N_1, M_2) → t1, s, t, a_1Polygon(M_2, L_1, A_2) → t2, e_1, f_1, g_1Polygon(B_2, M_2, N_1) → t3, n_6, b_1, m_3Polygon(M_2, B_2, L_2) → t4, l_3, m_4, b_3Polygon(C_2, M_2, L_2) → t5, l_4, c_1, m_5Polygon(M_2, C_2, N_2) → t6, n_4, m_6, c_3Polygon(D_2, L_1, M_2) → t7, m_7, d_3, l_5Polygon(M_2, N_2, D_2) → t8, d_4, m_8, n_5Polygon(A_2, B_2, M_2) → t9, m_2, a_3, b_4Polygon(C_2, M_2, D_2) → t91, d_5, c_4, m_9Point(Arc[Circle[B_3, 0.5], 0, 3]) → C_3Point(Ray[Translate[A_3, Vector[0.9 * Vector[B_3, A_3]]], B_3]) → A'Translate(A', Vector[A_3, B_3]) → B'Polygon(A_3, B_3, C_3, D_3) → p1, a_5, b_6, c_7, d_8Polygon(A', B', C_3, D_3) → p2, a', b', c_8, d_9Polygon(A_3, A', D_3) → p3, d_{10}, a_6, a'_1Polygon(B_3, B', C_3) → p4, c_9, b_7, b'_1Polygon(A_3, B', C_3, D_3) → p5, a_7, b'_2, c_{10}, d_{11}
AI 绘图提示语参考
画一个包含多个多边形和点的图形,展示面积相等的几何构造。图形中心有一个旋转的文本标签,周围分布着四个主要多边形,通过点和线段连接,形成复杂的几何关系。先画出中心文本和基本的多边形框架,再添加连接点和线段,最后填充多边形,展示面积相等的构造。
以上提示语为根据原始绘图命令整理而来,仅供参考。