交互式分数学习:可视化分数表示与运算
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所属专题
The Fractions book
① 本范例通过交互式图形界面,直观展示分数的概念、表示与运算过程,用户可点击按钮或拖动滑块来探索分数。② 核心数学概念包括分数的基本性质、约分、通分、分数加法与乘法,以及分数与整数的关系。③ 作图要点:利用GeoGebra命令如FractionText生成分数文本,GCD计算最大公约数实现约分,Sum和Element处理列表数据,Polygon绘制图形表示分数部分,If和Clicked实现交互逻辑,Slider控制参数变化,Segment和Point构建几何模型。④ 适合小学高年级至初中学生,用于课堂演示或自主探索,帮助理解分数的抽象概念,也可作为教师制作互动课件的参考。
GeoGebra 命令及参数
Sum(On) → ClickedElement(list4, Order, Pos) → DenoLength(Element[list4, Order]) → NumFactorIf(Mod[Total, 5] ≟ 0, 5, 6) → XIf((Total * Nume / Deno) ≟ Clicked, true, false) → CorrectIf((¬NewItem) ∧ Correct ∨ ShowAns, true, false) → FreezePolygon(M, N, 4) → poly1off, a, b, c, d, O, PPolygon(M, N, 4) → poly1on, e, f, g, h, Q, RPolygon(N, S, 4) → poly2off, i, j, k, l, T, UPolygon(N, S, 4) → poly2on, m, n, p, q, V, WPolygon(S, Z, 4) → poly3off, s, t, a_1, b_1, A_1, B_1Polygon(S, Z, 4) → poly3on, c_1, d_1, e_1, f_1, C_1, D_1Polygon(Z, A, 4) → poly4off, g_1, h_1, i_1, j_1, B, CPolygon(Z, A, 4) → poly4on, k_1, l_1, m_1, n_1, E_1, F_1Polygon(A, D, 4) → poly5off, p_1, q_1, r_1, s_1, G_1, H_1Polygon(A, D, 4) → poly5on, t_1, a_2, b_2, c_2, I_1, J_1Polygon(D, E, 4) → poly6off, d_2, e_2, f_2, g_2, K_1, L_1Polygon(D, E, 4) → poly6on, h_2, i_2, j_2, k_2, M_1, N_1Polygon(P, O, 4) → poly7off, l_2, m_2, n_2, p_2, F, O_1Polygon(P, O, 4) → poly7on, q_2, r_2, s_2, t_2, P_1, Q_1Polygon(O, V, 4) → poly8off, a_3, b_3, c_3, d_3, G, R_1Polygon(O, V, G, F) → poly8on, o, v, g_3, f_3Polygon(V, C, 4) → poly9off, e_3, h_3, i_3, j_3, H, S_1Polygon(V, C, H, G) → poly9on, v_1, c_4, h_4, g_4Polygon(C, B, 4) → poly10off, k_3, l_3, m_3, n_3, I, T_1Polygon(C, B, I, H) → poly10on, c_5, b_4, i_4, h_5Polygon(B, G_1, 4) → poly11off, p_3, q_3, r_3, s_3, J, U_1Polygon(B, G_1, J, I) → poly11on, b_5, g_5, j_4, i_5Polygon(G_1, K_1, 4) → poly12off, t_3, a_4, d_4, e_4, K, V_1Polygon(G_1, K_1, K, J) → poly12on, g_6, k_4, k_5, j_5FractionText(num / 12) → texte3If(Clicked ≟ num, 1, 0) → valIf(num ≟ Clicked, 1, 0) → bbPolygon(W_1, Z_1, A_2, B_2) → poly1, w_1, z_1, a_5, b_6GCD(12, num) → rrSegment(C_2, D_2) → f_4