足球2v2 - 位置、角度与缩放
几何画板及绘图内容加载中,请稍等……
①本范例演示足球比赛中球员位置、角度和缩放关系的几何原理;②涉及核心数学概念包括角度、面积、缩放、几何变换、相似变换、几何作图;③作图要点:使用Point, Line, Midpoint, Circle, Segment, Distance, Intersect, Polygon等GeoGebra命令构建球员、球门、路径等几何对象;④适合高中数学教学,用于理解几何在体育中的应用。
GeoGebra 命令及参数
Point(yAxis) → ALine(A, B) → fPoint(f) → CPoint(f) → DPoint(f) → EPoint(f) → FMidpoint(E, F) → GoalCircle(Goal, OffenseA) → cPoint(Circle[OffenseA, 2]) → KSegment(OffenseA, K) → hMidpoint(OffenseA, K) → LPoint(Circle[Goalkeeper, 2]) → NSegment(Goalkeeper, N) → jMidpoint(Goalkeeper, N) → MDistance(L, M) → distanceLMDistance(L, M) → dDistance(M, Goal) → distanceMGoalPoint(Circle[OffenseB, 2]) → VSegment(OffenseB, V) → rMidpoint(OffenseB, V) → GPoint(Circle[DefenderA, 2]) → SSegment(DefenderA, S) → tMidpoint(DefenderA, S) → B_1Line(V, DefenderA) → p_2Line(V, S) → q_2Line(V, Goalkeeper) → a_2Line(V, N) → b_2Point(p_2) → O_1Point(a_2) → U_1Line(O_1, f) → c_2Line(U_1, f) → e_2Intersect(q_2, c_2) → V_1Intersect(e_2, b_2) → Z_1Polygon(U_1, Z_1, V) → t8, v_2, u_1, z_1Polygon(O_1, V_1, V) → t9, v_3, g_3, h_3Midpoint(O_1, V_1) → H_2Midpoint(U_1, Z_1) → J_2Polygon(V, OffenseA, K) → t11, k_3, v_5, offenseaPolygon(V, E, F) → t12, f_4, v_6, e_3Line(K, DefenderA) → i_3Line(K, S) → j_3Line(K, Goalkeeper) → n_3Line(K, N) → p_3Point(i_3) → QPoint(n_3) → RLine(Q, f) → nLine(R, f) → q_3Intersect(n, j_3) → B_2Intersect(q_3, p_3) → C_2Intersect(f, i_3) → E_2Intersect(f, j_3) → F_2Intersect(f, n_3) → G_2Intersect(f, p_3) → K_2Midpoint(Q, B_2) → A_1Midpoint(R, C_2) → N_2Polygon(Q, B_2, K) → t14, k_5, q_4, a_3Polygon(R, C_2, K) → t15, c_3, d_3, g_4Polygon(K, V, OffenseB) → t17, i_4, k_7, v_7Polygon(K, E, F) → t18, f_5, k_8, e_4
AI 绘图提示语参考
画一个足球场,标出两个进攻球员和一个防守球员的位置,以及守门员的位置。用圆圈表示球员的活动范围,并画出球员之间的连线,展示他们的配合关系。计算并显示球员之间的距离,用几何方法构建角度和区域,展示球员移动时的缩放效果。
以上提示语为根据原始绘图命令整理而来,仅供参考。