等分数 by Ng Hwee Hwee
几何画板及绘图内容加载中,请稍等……
该范例通过比较分母为2、4、5、10、20和25的分数与其等价的分母为100的分数,帮助学生理解分数的等值性。涉及的核心数学概念包括分数的基本性质。通过使用GeoGebra命令如Intersect、Point、Polygon等进行构造。适合小学高年级及初中学生学习分数转换。
GeoGebra 命令及参数
Intersect(xAxis, yAxis) → APoint(xAxis) → BPolygon(A, B, 4) → poly1, a, b, c, d, C, DMidpoint(A, D) → EMidpoint(C, B) → FMidpoint(B, A) → GMidpoint(C, D) → HSegment(H, G) → eSegment(E, F) → fPoint(d) → ISegment(I, J) → gPoint(d) → KSegment(K, L) → hPoint(d) → MPoint(b) → NSegment(M, N) → iPoint(d) → OPoint(b) → PSegment(O, P) → jPoint(d) → QSegment(Q, R) → kPoint(d) → SPoint(b) → TSegment(S, T) → lPoint(d) → UPoint(b) → VSegment(U, V) → mPoint(d) → WPoint(b) → ZSegment(W, Z) → nPoint(c) → A_1Segment(A_1, B_1) → pPoint(c) → C_1Point(a) → D_1Segment(C_1, D_1) → qPoint(c) → E_1Point(a) → F_1Segment(E_1, F_1) → rPoint(c) → G_1Point(a) → H_1Segment(G_1, H_1) → sPoint(c) → I_1Point(a) → J_1Segment(I_1, J_1) → tPoint(c) → K_1Segment(K_1, L_1) → a_1Point(c) → M_1Point(a) → N_1Segment(M_1, N_1) → b_1Point(c) → O_1Point(a) → P_1Segment(O_1, P_1) → c_1Point(yAxis) → Q_1Point(yAxis) → R_1Segment(Q_1, R_1) → d_1OrthogonalLine(R_1, d_1) → e_1Point(e_1) → MOVELine(MOVE, d_1) → f_1Mirror(MOVE, f_1) → T_1Mirror(A, f_1) → A'Mirror(B, f_1) → B'Mirror(C, f_1) → C'Mirror(D, f_1) → D'Polygon(B', A', D', C') → poly2, b', a', d', c'Midpoint(C', D') → Z_1Midpoint(B', A') → A_2Midpoint(C', B') → B_2Midpoint(D', A') → C_2Segment(Z_1, A_2) → i_1Segment(B_2, C_2) → j_1Segment(Z_1, A_2) → k_1Midpoint(A_2, B') → I_2Point(d') → D_2Point(b') → E_2Segment(D_2, E_2) → l_1Point(d') → F_2Point(b') → G_2Segment(F_2, G_2) → m_1Point(d') → H_2Point(b') → J_2Segment(H_2, J_2) → n_1Point(d') → K_2Point(b') → L_2Segment(K_2, L_2) → p_1Point(c') → M_2Point(a') → N_2Segment(M_2, N_2) → q_1Point(c') → O_2Point(a') → P_2Segment(O_2, P_2) → r_1Point(c') → Q_2Point(a') → R_2Segment(Q_2, R_2) → s_1Point(c') → S_2Point(a') → T_2Segment(S_2, T_2) → t_1Segment(M_2, N_2) → a_2Segment(O_2, P_2) → b_2Segment(Q_2, R_2) → c_2Segment(S_2, T_2) → d_2Segment(M_2, N_2) → e_2Point(c') → U_2Point(a') → V_2Segment(O_2, P_2) → g_2Point(c') → W_2Segment(Q_2, R_2) → i_2Point(c') → A_3Point(a') → B_3Segment(S_2, T_2) → k_2Point(c') → C_3Point(a') → D_3Point(d') → G_3Segment(M_2, N_2) → h_2Segment(U_2, V_2) → j_2Segment(O_2, P_2) → l_2Segment(Q_2, R_2) → n_2Segment(A_3, B_3) → p_2Segment(S_2, T_2) → q_2Segment(C_3, D_3) → t_2Point(b') → U_1Segment(G_3, U_1) → g_1Point(b') → V_1Segment(G_3, V_1) → h_1Point(a') → W_1Segment(W_2, W_1) → f_2Point(c') → I_3Point(a') → J_3Segment(I_3, J_3) → m_2Point(d') → widthPoint(c') → lengthOrthogonalLine(width, d') → r_2OrthogonalLine(length, c') → s_2Intersect(r_2, s_2) → L_3Polygon(length, L_3, width, C') → poly3, k_3, l_3, s_3, c'_1
AI 绘图提示语参考
画一个坐标系,在x轴和y轴上各画一个点,以这两个点和原点构成一个正方形。在正方形内部画两条线段,将正方形分成四个小三角形。再在正方形外部画多个线段,连接正方形的顶点和一些新的点,形成多个不同的图形,展示分数的等价关系。
以上提示语为根据原始绘图命令整理而来,仅供参考。