混合问题求解-溶质添加与百分比
几何画板及绘图内容加载中,请稍等……
①本范例演示了混合溶液中溶质添加与百分比计算的过程,通过动态图形展示溶液比例变化;②涉及核心数学概念包括加法、超几何分布、减法、比率、对数函数和频率分布;③作图要点提炼自GeoGebra命令:Ray(射线)、OrthogonalLine(垂线)、Intersect(交点)、Line(直线)、Textfield(文本框)、Segment(线段)、Midpoint(中点)、VerticalText(垂直文本)、Min(最小值)、Max(最大值)、Sequence(序列)、KeepIf(条件保留)、Element(元素)、IndexOf(索引)、Polygon(多边形);④适合高中阶段学习概率统计和解析几何的学生,用于理解混合溶液计算与可视化。
GeoGebra 命令及参数
Ray(A_4, B_4) → lOrthogonalLine(E_4, e_1) → mIntersect(l, m) → C_4Line(A_3, B_3) → fLine(A_2, C_2) → pIntersect(c, f) → C_3Textfield(m_11) → inputBoxm_11Textfield(m_21) → inputBoxm_21Textfield(w_11) → inputBoxw_11Textfield(m_32) → inputBoxm_32Line(A_1, C_1) → bIntersect(a, b) → B_1Segment(E_1, C_1) → b_1Segment(C_1, F_1) → c_1Segment(D_1, B_1) → a_1Segment(B_1, G_1) → d_1Segment(A_1, C_1) → g_1OrthogonalLine(G_2, t) → qIntersect(q, p) → B_2Segment(A_2, C_2) → g_2Segment(G_2, B_2) → d_2Segment(B_2, D_2) → a_2Segment(C_2, E_2) → b_2Segment(C_2, F_2) → c_2Segment(G_3, B_3) → d_3Segment(D_3, B_3) → a_3Line(B_4, C_4) → iSegment(G_4, B_4) → d_4Segment(B_4, D_4) → a_4Segment(F_4, C_4) → c_4Segment(C_4, E_4) → b_4Segment(A_4, C_4) → g_4Midpoint(D_2, E_2) → S_2Midpoint(D_4, E_4) → S_4Textfield(w_12) → inputBoxw_12Textfield(w_13) → inputBoxw_13Textfield(w_33) → inputBoxw_33Textfield(m_13) → inputBoxm_13Textfield(w_32) → inputBoxw_32Textfield(w_34) → inputBoxw_34Textfield(m_34) → inputBoxm_34Midpoint(D_1, E_1) → S_1VerticalText(Oy) → OyvVerticalText(text2) → text3Min(w_13, w_23) → min3Max(w_13, w_23) → max3Sequence((100 * n), n, 0, 200) → list1KeepIf(0 < x ≤ 100, list21) → list31Element(list31, 1) → elem1IndexOf(elem1, list21) → index1Element(list1, index1) → scalePolygon(H_1, I_1, M_1, L_1) → poly1z1, a_5, b_5, c_5, d_5Polygon(H_1, I_1, J_1, K_1) → poly1b1, d, e, j, kMidpoint(D_3, E_3) → S_3Ray(F_3, C_3) → hSegment(A_3, C_3) → g_3Polygon(N_1, O_1, T_1, R_1) → poly1z2, n_1, o_1, t_5, r_5Polygon(N_1, O_1, P_1, Q_1) → poly1b2, n_2, o_2, p_5, q_5Polygon(U_1, V_1, W_1, X_1) → poly1b3, u_5, v_1, w_1, x_1Polygon(U_1, V_1, Z_1, Y_1) → poly1z3, u_6, v_2, z_1, y_1Segment(F_3, C_3) → c_3Segment(C_3, E_3) → b_3Polygon(H_2, I_2, J_2, K_2) → poly2b1, h_2, i_2, j_2, k_5Polygon(N_2, O_2, P_2, Q_2) → poly2b2, n_3, o_3, p_6, q_6Polygon(U_2, V_2, W_2, X_2) → poly2b3, u_7, v_3, w_2, x_2Polygon(H_2, I_2, M_2, L_2) → poly2z1, h_1, i_1, m_2, l_2Polygon(N_2, O_2, T_2, R_2) → poly2z2, n_4, o_4, t_6, r_6Polygon(U_2, V_2, Z_2, Y_2) → poly2z3, u_8, v_4, z_2, y_2Polygon(H_3, I_3, J_3, K_3) → poly3b1, h_3, i_3, j_3, k_6Polygon(N_3, O_3, P_3, Q_3) → poly3b2, n_5, o_5, p_7, q_7Polygon(U_3, V_3, W_3, X_3) → poly3b3, u_9, v_5, w_3, x_3Polygon(H_3, I_3, M_3, L_3) → poly3z1, h_4, i_4, m_1, l_3Polygon(N_3, O_3, T_3, R_3) → poly3z2, n_6, o_6, t_7, r_7Polygon(Y_3, U_3, V_3, Z_3) → poly3z3, y_3, u_{10}, v_6, z_3Polygon(H_4, I_4, J_4, K_4) → poly4b1, h_5, i_5, j_4, k_7Polygon(N_4, O_4, P_4, Q_4) → poly4b2, n_7, o_7, p_8, q_8Polygon(U_4, V_4, W_4, X_4) → poly4b3, u_{11}, v_7, w_4, x_4Polygon(H_4, I_4, M_4, L_4) → poly4z1, h_6, i_6, m_4, l_4Polygon(N_4, O_4, T_4, R_4) → poly4z2, n_8, o_8, t_8, r_8Polygon(U_4, V_4, Z_4, Y_4) → poly4z3, u_{12}, v_8, z_4, y_4Textfield(m_24) → inputBoxm_24Ray(E_4, C_4) → nOrthogonalLine(F_2, t) → g
AI 绘图提示语参考
绘制一个混合物问题的图形,包括两个容器A和B,以及它们之间的溶液转移。容器A中有一定量的溶液,通过滑动条调整溶质的添加量,观察溶液比例的变化。容器B初始为空,通过转移线段显示溶液从A到B的转移过程,同时显示比例变化的文本框。
以上提示语为根据原始绘图命令整理而来,仅供参考。