方位角动态演示 by Tim Brzezinski
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该范例演示从点A到点B,再到点C的方位角和距离。涉及的核心数学概念包括角度、向量和三角函数。使用了Circle, Intersect, Rotate, Dilate, Segment, Angle, Textfield等GeoGebra命令。适合初中及以上学生学习方位角和向量的相关知识。
GeoGebra 命令及参数
Circle(A, a) → cIntersect(c, f, 1) → BRotate(B, ((-b) * π / 180), A) → B'Circle(B', d) → eIntersect(e, h, 1) → CRotate(C, ((-j) * π / 180), B') → C'Dilate(A, If[0 < k ≤ 1, 1 - k, 0], B) → A'Segment(A, A') → lAngle(B', A, B) → αAngle(C', B', C) → βRotate(B, If[1 < k ≤ 2, ((-(k - 1)) * α), (-α)], A) → B'_1Angle(B'_1, A, B) → γSegment(A, B'_1) → mDilate(B', If[2 < k ≤ 3, 3 - k, 0], C) → B''Segment(B', B'') → nRotate(C, If[3 < k ≤ 4, ((-(k - 3)) * β), (-β)], B') → C'_1Angle(C'_1, B', C) → δSegment(B', C'_1) → pSegment(A, C') → qAngle(C', A, B) → εTextfield(a) → InputBox1Textfield(b) → InputBox2Textfield(d) → InputBox3Textfield(j) → InputBox4Dilate(A, If[0 < o ≤ 1, 1 - o, 0], C'_1) → A'_1Segment(A, A'_1) → rCircle(A, C') → sIntersect(s, f) → D, ERotate(D, If[1 < o ≤ 2, ((-(o - 1)) * ε), (-ε)], A) → D'Angle(D', A, D) → η