等腰三角形与三角形上的平行四边形
几何画板及绘图内容加载中,请稍等……
本范例演示了在三角形上构造等腰三角形和平行四边形的过程。核心数学概念包括等腰三角形的性质和平行四边形的定义。通过使用GeoGebra命令如Segment, LineBisector, Point等,可以构造出等腰三角形和平行四边形。适合初中及以上学生学习几何作图。
GeoGebra 命令及参数
Segment(B, C) → gLineBisector(g) → pPoint(p) → FSegment(C, C + (t4 * (F - C))) → rSegment(A, B) → fMidpoint(f) → JSegment(C, A) → hLineBisector(h) → lPoint(l) → ELine(E, r) → m_1Segment(C, C + (t3 * (E - C))) → n_2Line(F, n_2) → n_1Intersect(m_1, n_1) → ILineBisector(f) → iPoint(i) → DMidpoint(h) → KSegment(B, B + (t4 * (F - B))) → qLine(D, q) → tSegment(B, B + (t2 * (D - B))) → jLine(F, j) → sIntersect(s, t) → GSegment(A, A + (t2 * (D - A))) → kPolygon(A, B, D) → poly1, d, a, bPolygon(A, E, C) → poly2, c, a_1, ePolygon(C, F, B) → poly3, b_1, c_1, f_1Segment(A, A + (t3 * (E - A))) → mLine(D, m) → i_1Line(E, k) → j_1Intersect(i_1, j_1) → HMidpoint(g) → LSegment(G, G + (t8 * (K - G))) → r_1Segment(I, I + (t8 * (J - I))) → s_1Intersect(r_1, s_1) → MSegment(D, D + (t5 * (G - D))) → h_1Segment(F, F + (t5 * (G - F))) → g_1Segment(F, F + (t6 * (I - F))) → p_1Segment(E, E + (t6 * (I - E))) → q_1Segment(D, D + (t7 * (H - D))) → l_1Segment(E, E + (t7 * (H - E))) → k_1Segment(H, H + (t8 * (L - H))) → t_1