两圆两弦定理动态演示
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所属专题
Circles (Theorems)
该范例动态展示了涉及两圆和两弦的定理。它通过GeoGebra中的多种命令,如圆、线段、点、交点等,构建了一个可修改的图形。此作图使用了Circle、Segment、PointIn、Line、Intersect、Point、CircleSector、Dilate、Ray、Angle、Rotate、Vector、Translate等命令。适合初中及以上学生学习几何变换和定理证明。
GeoGebra 命令及参数
Circle(A, B) → cSegment(A, B) → fPointIn(a) → CLine(A, C) → gIntersect(c, g, 2) → DIntersect(c, g, 1) → ESegment(C, D) → hSegment(C, E) → iCircle(C, b) → dIntersect(d, c) → F, G, ,Point(c) → HPoint(c) → ILine(H, G) → jIntersect(d, j) → J, KLine(I, F) → kIntersect(d, k, 2) → LSegment(H, I) → lSegment(K, L) → mCircle(H, (0.3 * Min[l, m])) → eIntersect(e, l, 1) → MIntersect(e, j, 2) → NCircleSector(H, M, N) → pDilate(H, If[0 < n ≤ 1, 1 - n, 0], G) → H'Segment(H, H') → qDilate(G, If[1 < n ≤ 2, 2 - n, 0], K) → G'Segment(G, G') → rCircle(K, 1) → sIntersect(s, j, 2) → ORay(K, O) → tDilate(I, If[2 < n ≤ 3, 3 - n, 0], F) → I'Segment(I, I') → f_1Dilate(F, If[3 < n ≤ 4, 4 - n, 0], L) → F'Segment(F, F') → g_1Dilate(I, If[4 < n ≤ 5, 5 - n, 0], H) → I'_1Dilate(L, If[4 < n ≤ 5, 5 - n, 0], K) → L'Segment(I, I'_1) → h_1Segment(L, L') → i_1Angle(M, H, N) → αRotate(M, If[5 < n ≤ 6, ((n - 5) * α), α], H) → M'CircleSector(H, M, M') → c_1Dilate(H, If[6.5 < n ≤ 7.5, 7.5 - n, 0], K) → H'_1Vector(H, H'_1) → uTranslate(p, u) → d_1