均值演示
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①本范例演示正态分布下均值与等腰三角形、三角函数、分段函数的关系;②涉及核心数学概念包括正态分布、等腰三角形、三角函数、分段函数、几何作图;③构造要点:使用Intersect(交点)、Point(点)、Segment(线段)、Midpoint(中点)、Circle(圆)、OrthogonalLine(垂线)、Distance(距离)等命令;④适合高中及以上数学学习者和教师用于教学演示与探索。
GeoGebra 命令及参数
Intersect(xAxis, yAxis) → APoint(xAxis) → XSegment(A, X) → fPoint(xAxis) → BSegment(X, B) → gMidpoint(A, B) → OCircle(O, B) → cOrthogonalLine(X, f) → iIntersect(c, i) → E, GSegment(G, O) → hSegment(G, X) → jOrthogonalLine(X, h) → kIntersect(h, k) → HSegment(X, H) → lSegment(H, G) → mDistance(O, G) → distanceOGDistance(H, G) → distanceHGDistance(X, G) → distanceXGDistance(A, X) → distanceAXDistance(X, B) → distanceXBOrthogonalLine(X, g) → nOrthogonalLine(B, g) → pOrthogonalLine(A, xAxis) → qOrthogonalLine(H, h) → rOrthogonalLine(G, h) → sPoint(q) → COrthogonalLine(C, q) → tPoint(n) → DSegment(X, D) → aIntersect(p, t) → FSegment(F, B) → dIntersect(q, t) → ISegment(I, A) → f_1Circle(G, 1) → c_1Circle(H, 1) → d_1Intersect(c_1, s) → J, KIntersect(d_1, r) → L, MSegment(G, K) → g_1Segment(H, M) → h_1Segment(K, M) → i_1Intersect(n, t) → NIntersect(t, yAxis) → PIntersect(p, t) → QSegment(B, Q) → j_1Segment(Q, N) → k_1Segment(N, P) → l_1Segment(P, A) → m_1Segment(N, X) → n_1Circle(G, 1.5) → eCircle(O, 1.5) → e_1OrthogonalLine(O, h) → bOrthogonalLine(G, h) → p_1Intersect(e, p_1) → R, SIntersect(e_1, b) → T, USegment(G, S) → q_1Segment(S, U) → r_1Segment(U, O) → s_1