有理数加减法几何模型 by Matthew Cox
几何画板及绘图内容加载中,请稍等……
这个范例演示了有理数的加减法,通过几何图形直观展示运算过程。核心数学概念包括有理数及其加减法。使用了Line, Point, Circle, Vector, Translate, Segment, Midpoint等GeoGebra命令。适合初中数学教学,帮助学生理解有理数的加减法几何意义。
GeoGebra 命令及参数
Line(A, B) → aPoint(a) → CCircle(C, 4) → kOrthogonalLine(C, a) → dIntersect(k, d, 1) → J_1Circle(C, 2) → pIntersect(p, d) → I_1, L_5Vector(L_5, P_2) → u_1Circle(M_1, 1) → qCircle(L_5, 1) → gIntersect(g, d, 1) → N_1OrthogonalLine(N_1, d) → iIntersect(q, i) → O_1, P_1Intersect(p, d, 1) → M_2Vector(I_1, L_1) → vIntersect(k, d, 2) → R_1Circle(R_1, N_1) → rIntersect(r, d, 2) → S_1Circle(M_3, 1) → q_1Intersect(q_1, i_1, 1) → N_2Translate(N_2, v) → Q_2Point(a) → DPoint(a) → EPoint(a) → FPoint(a) → GPoint(a) → HPoint(a) → IPoint(a) → JPoint(a) → KPoint(a) → LPoint(a) → MPoint(a) → NPoint(a) → OPoint(a) → PPoint(a) → QPoint(a) → RPoint(a) → SPoint(a) → TPoint(a) → UPoint(a) → VPoint(a) → WPoint(a) → YPoint(a) → ZPoint(a) → A_1Point(a) → B_1Point(a) → C_1Point(a) → D_1Point(a) → E_1Point(a) → F_1Point(a) → G_1Point(a) → H_1OrthogonalLine(I_1, d) → eOrthogonalLine(L_5, d) → hOrthogonalLine(J_1, d) → fVector(J_1, K_1) → uVector(L_5, M_1) → wTranslate(O_1, u_1) → Q_1Vector(O_1, Q_1) → zOrthogonalLine(S_1, d) → jVector(S_1, T_1) → lSegment(J_1, S_1) → mSegment(M_1, O_1) → tOrthogonalLine(K_1, a) → nIntersect(n, a) → U_1OrthogonalLine(L_1, a) → sOrthogonalLine(T_1, a) → a_1Intersect(s, a) → W_1Intersect(a_1, a) → Y_1Segment(T_1, Y_1) → c_1Segment(L_1, W_1) → d_1Segment(I_1, L_1) → b_2Segment(J_1, K_1) → e_1Segment(L_5, M_1) → f_1Segment(T_1, S_1) → h_1Midpoint(J_1, K_1) → Z_1Midpoint(I_1, L_1) → A_2Midpoint(L_5, M_1) → B_2Midpoint(Q_1, O_1) → C_2Point(a) → V_1Point(a) → D_2Point(a) → E_2Point(a) → F_2Point(a) → G_2Point(a) → H_2Point(a) → I_2Point(a) → J_2Point(a) → K_2Point(a) → L_2Circle(M_2, 1) → g_1Vector(M_2, M_3) → w_1Vector(N_2, Q_2) → z_1Midpoint(Q_2, N_2) → C_3Midpoint(M_2, M_3) → O_2Segment(N_2, M_4) → j_1OrthogonalLine(P_2, a) → s_1OrthogonalLine(R_2, a) → k_1OrthogonalLine(P_2, a) → l_1Mirror(Q_1, O_1) → T_2Vector(O_1, T_2) → v_1Midpoint(T_2, O_1) → U_2OrthogonalLine(T_2, a) → m_1Intersect(m_1, a) → S_2
AI 绘图提示语参考
在一条水平直线上,先确定两个固定点并画一条直线,再在直线上取一个点作为圆心,分别以半径4和2画两个同心圆。过圆心作直线的垂线,与两个圆相交,得到多个交点。利用这些交点构造向量,并通过平移和画小圆的方式,在直线上下方生成一系列等距的点,表示整数加法和减法的几何过程。最后在直线上均匀放置多个点,作为数轴上的整数刻度,整体呈现一个结合圆、垂线、向量和平移的几何数轴模型。
以上提示语为根据原始绘图命令整理而来,仅供参考。