分数比较
几何画板及绘图内容加载中,请稍等……
所属专题
Elementary School
①本范例通过动态图形演示分数的大小比较方法;②涉及核心数学概念包括分数、几何表示、比较方法;③作图要点:使用Point, Circle, Rotate, Angle, Polygon, Segment, CircleSector, Vector, Translate, Random等GeoGebra命令和对象构建几何模型;④适合初中及以上学生用于理解分数比较的直观方法,也可用于数学教学演示。
GeoGebra 命令及参数
Point(xAxis) → ACircle(A, 1) → c_{4}Point(xAxis) → BCircle(B, 1) → d_{2}Point(c_{4}) → CRotate(C, alpha1, A) → C'Angle(C, A, C') → αPolygon(C, C', b) → poly1, f, q, r, s, t, a_{2}, b_{2}, e, f_1, g_1, h_1, g, i_1, D, E, F, G, H, I, J, K, L, h, M, N, O, P, Q, R, S, T, U, i, j, k, l, n, pSegment(A, C) → j_1Segment(A, C') → k_1Segment(A, D) → l_1Segment(A, U) → m_1Segment(A, T) → n_1Segment(A, S) → p_1Segment(A, R) → q_1Segment(A, Q) → r_1Segment(A, P) → s_1Segment(A, O) → t_1Segment(A, N) → a_1Segment(A, M) → b_1Segment(A, L) → c_1Segment(A, K) → d_1Segment(A, J) → e_1Segment(A, I) → f_2Segment(A, H) → g_2Segment(A, G) → h_2Segment(A, F) → i_2Segment(A, E) → j_2Rotate(C, (alpha1 * a), A) → C'_{1}CircleSector(A, C, C'_{1}) → c_2Point(d_{2}) → VRotate(V, beta1, B) → V'Polygon(V, V', d) → poly2, m, t_2, e_2, f_3, g_3, h_3, i_3, j_3, k_3, l_3, m_3, k_2, n_3, W, Z, A_1, B_1, C_1, D_1, E_1, F_1, G_1, l_2, H_1, I_1, J_1, K_1, L_1, M_1, N_1, O_1, P_1, m_2, n_2, p_2, q_2, r_2, s_2Segment(D_1, B) → p_3Segment(C_1, B) → q_3Segment(B_1, B) → r_3Segment(A_1, B) → s_3Segment(Z, B) → t_3Segment(W, B) → a_3Segment(V', B) → b_3Segment(V, B) → c_3Segment(B, P_1) → d_3Segment(B, O_1) → e_3Segment(B, N_1) → f_4Segment(B, M_1) → g_4Segment(B, L_1) → h_4Segment(B, K_1) → i_4Segment(B, J_1) → j_4Segment(B, I_1) → k_4Segment(B, H_1) → l_4Segment(B, G_1) → m_4Segment(F_1, B) → n_4Segment(E_1, B) → p_4Rotate(V, (c * beta1), B) → V'_{1}Angle(V, B, V'_{1}) → βCircleSector(B, V, V'_{1}) → d_4Segment(Q_1, R_1) → q_4Point(q_4) → S_1Vector(Q_1, S_1) → uTranslate(c_2, u) → e_4Random(2, 20) → den1Random(1, den1 - 1) → num1Random(2, 20) → den2Random(1, den2 - 1) → num2
AI 绘图提示语参考
画一个动态几何图形来比较分数,包含两个同心圆和一个旋转的三角形,通过旋转角度和扇形面积来展示分数大小关系,先画出两个半径为1的圆,再在第一个圆上取一点并旋转它,形成三角形,用扇形表示分数部分,最后通过旋转第二个圆上的点来比较两个分数的大小。
以上提示语为根据原始绘图命令整理而来,仅供参考。