弦与切线形成的角
几何画板及绘图内容加载中,请稍等……
所属专题
Circles (Theorems)
本范例演示了弦与切线形成的角。涉及的核心数学概念包括圆的性质和角的概念。通过使用GeoGebra命令,如Circle、Segment、OrthogonalLine等,可以构造出弦与切线形成的角。适合初中及以上学生学习几何作图。
GeoGebra 命令及参数
Circle(A, B) → cPoint(c) → CSegment(A, C) → aOrthogonalLine(C, a) → bRotate(C, °, A) → C'CircleArc(A, C', C) → dPoint(d) → DSegment(D, C) → eCircle(A, (0.2 * a)) → fCircle(C, (0.2 * a)) → gIntersect(g, b, 2) → EIntersect(g, e, 1) → FSegment(A, C) → hSegment(A, D) → iCircleSector(C, E, F) → kDilate(A, If[0 < j ≤ 1, 1 - j, 0], C) → A'Dilate(A, If[0 < j ≤ 1, 1 - j, 0], D) → A'_1Segment(A, A'_1) → lSegment(A, A') → mDilate(C, If[1 < j ≤ 2, 2 - j, 0], A) → C'_1Vector(C, C'_1) → uTranslate(k, u) → k'Line(A, e) → nIntersect(f, i, 1) → GIntersect(f, n, 1) → HAngle(G, A, H) → αRotate(k', If[2 < j ≤ 3, ((-(j - 2)) * α), (-α)], A) → k''Translate(E, u) → E'Rotate(E', (-α), A) → E''Intersect(f, m, 1) → IDilate(C, If[3 < j ≤ 4, 4 - j, 0], A) → C'_2Vector(C, C'_2) → vTranslate(k, v) → k'_1Angle(H, A, E'') → βRotate(k'_1, If[4 < j ≤ 5, ((j - 4) * β), β], A) → pCircleArc(A, C, D) → qPoint(b) → JRay(C, J) → r