方位角动态演示 by Tim Brzezinski (2)
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该范例演示了距离和方位角的概念,涉及三角函数和向量。通过旋转、交点等命令,动态展示了方位角的变化。适合高中数学教学,特别是三角函数和向量部分。
GeoGebra 命令及参数
Circle(A, 3) → cIntersect(c, f) → B, CRay(A, B) → gRay(A, C) → hCircle(A, r) → dIntersect(d, g) → D,Intersect(d, h) → F,Intersect(d, i) → G, HRotate(D, ((-a) * π / 180), A) → D'Rotate(D, (a * π / 180), A) → D'_1Rotate(F, (a * π / 180), A) → F'Rotate(F, ((-a) * π / 180), A) → F'_1Dilate(A, If[0 < b ≤ 1, 1 - b, 0], F) → A'Dilate(A, If[0 < b ≤ 1, 1 - b, 0], D) → A'_1Segment(A, A'_1) → jSegment(A, A') → kAngle(D', A, D) → αRotate(D, If[1 < b ≤ 2, ((-(b - 1)) * α), (-α)], A) → ERotate(D, If[1 < b ≤ 2, ((b - 1) * α), (-α)], A) → IRotate(F, If[1 < b ≤ 2, ((b - 1) * α), (-α)], A) → F'_2Rotate(F, If[1 < b ≤ 2, ((-(b - 1)) * α), (-α)], A) → F'_3Angle(E, A, D) → βAngle(D, A, I) → γAngle(F'_3, A, F) → δAngle(F, A, F'_2) → εSegment(A, E) → pSegment(A, I) → qSegment(A, F'_2) → sSegment(A, F'_3) → tTextfield(r) → InputBox1