分数除法 by Juli Jurado i Llamas

几何画板及绘图内容加载中，请稍等……

2015-11-23 22:37

向量解析几何几何作图

①本范例演示分数除法的几何直观与计算方法；②涉及核心数学概念包括分数运算、几何图形构造、向量运算；③作图要点：使用Segment, VertBars, HorzBars, If, Translate, Polygon, Midpoint等GeoGebra命令构造几何图形并演示分数除法过程；④适合初中及以上数学学习者，用于理解分数除法的实际应用与几何意义。

GeoGebra 命令及参数

Segment(F, B) → r
VertBars(A, (x(A) + (n_2 * SqrSize / d_2), SqrSize + y(A)), n_2) → poly1, e, f, g, h, llista1
VertBars((x(A) + (n_2 * SqrSize / d_2), y(A)), (x(A) + SqrSize, SqrSize + y(A)), d_2 - n_2) → poly2, i, j, k, l, llista2
HorzBars(C, (SqrSize + x(C), (n_1 * SqrSize / d_1)), n_1) → poly3, a, b, c, d, llista3
HorzBars((x(C), (n_1 * SqrSize / d_1)), (SqrSize + x(C), SqrSize), d_1 - n_1) → poly4, m, n, p, q, llista4
If(Distance[A, C] < 0.01, true, false) → Over
Translate(llista3, (7, 0)) → llista3'
Translate(llista4, (7, 0)) → llista4'
Translate(poly3, (7, 0)) → poly3'
Translate(poly4, (7, 0)) → poly4'
Segment(H, I) → a_1
Polygon(K, D, L, J) → Polígon1, k_1, d_3, l_1, j_1
Segment(K, I) → s
Segment(J, M) → t
Translate(llista1, (0, -7)) → llista1'
Translate(llista2, (0, -7)) → llista2'
Translate(poly1, (0, -7)) → poly1'
Translate(poly2, (0, -7)) → poly2'
Segment(N, O) → b_1
Polygon(P, I, M, Q) → Polígon2, p_1, i_1, m_1, q_1
Polygon(O, I, R, S) → Polígon3, o, i_2, r_1, s_1
Midpoint(Q, P) → T
Midpoint(G, S) → U