蒙提霍尔问题
几何画板及绘图内容加载中,请稍等……
这个范例演示了著名的蒙提霍尔问题,通过简单的模拟帮助理解条件概率。使用了点、线、圆等基本几何对象和命令,适合初中及以上学生学习概率统计。
GeoGebra 命令及参数
Element({1, 2, 3} \ {CarPos, door}, 1) → MontyDoorPoint(xAxis) → APoint(xAxis) → BOrthogonalLine(A, xAxis) → aOrthogonalLine(B, xAxis) → bPoint(a) → COrthogonalLine(C, a) → cIntersect(b, c) → DPoint(xAxis) → EOrthogonalLine(E, xAxis) → dIntersect(c, d) → FMidpoint(C, A) → GMidpoint(C, G) → HMidpoint(B, D) → IMidpoint(E, F) → JMidpoint(I, D) → KMidpoint(F, J) → LLine(A, B) → eMidpoint(G, A) → PCircle(C, P) → kIntersect(k, c, 1) → QOrthogonalLine(Q, c) → jCircle(C, G) → hIntersect(h, a, 2) → OOrthogonalLine(O, a) → iIntersect(j, i) → RVector(R, Q) → uOrthogonalLine(P, a) → fIntersect(b, f) → MCircle(D, M) → gIntersect(g, c, 1) → NOrthogonalLine(N, c) → lIntersect(i, l) → SVector(S, N) → vIntersect(d, f) → TCircle(F, T) → pIntersect(p, c, 1) → UOrthogonalLine(U, c) → mIntersect(i, m) → VVector(V, U) → wCircle(R, O) → qIntersect(q, i, 2) → ZCircle(Z, R) → rIntersect(r, i, 2) → WIntersect(b, i) → A_1Circle(S, A_1) → sIntersect(s, i, 2) → B_1Midpoint(O, R) → F_1Midpoint(Z, W) → G_1Circle(B_1, S) → tIntersect(t, i, 2) → H_1Midpoint(S, A_1) → I_1Midpoint(H_1, B_1) → J_1Intersect(d, i) → C_1Midpoint(V, C_1) → D_1Circle(V, C_1) → c_1Intersect(c_1, i, 2) → E_1Circle(E_1, V) → d_1Intersect(d_1, i, 2) → K_1Midpoint(E_1, K_1) → L_1Circle(A, G) → e_1Intersect(e_1, a, 1) → M_1OrthogonalLine(M_1, a) → nIntersect(j, n) → N_1Intersect(l, n) → O_1Intersect(m, n) → P_1Intersect(e, j) → Q_1Vector(N_1, Q_1) → zIntersect(e, l) → R_1Vector(O_1, R_1) → u_1Intersect(e, m) → S_1Vector(P_1, S_1) → v_1
AI 绘图提示语参考
画一个模拟蒙提霍尔问题的几何图形,包含三个门,一个隐藏汽车的位置,以及打开的两个非汽车门。用点和线表示门的位置和选择路径,用圆表示概率区域,并用向量表示选择和移动的方向。先画出三个门的基本结构,然后添加汽车位置和选择路径,最后用圆和向量展示概率和选择的动态变化。
以上提示语为根据原始绘图命令整理而来,仅供参考。