相似矩形的动态演示
几何画板及绘图内容加载中,请稍等……
这是一个动态可修改的三角形两边上构建相似矩形的定理演示。通过旋转、射线、点、线段等 GeoGebra 命令,可以直观地展示相似矩形的性质。适合初中及以上学生学习相似形和三角形相关知识。
GeoGebra 命令及参数
Rotate(A, (a_4 * π / 180), B) → A'Ray(B, A') → gPoint(g) → CSegment(B, C) → aOrthogonalLine(C, a) → sSegment(C, A) → bOrthogonalLine(A, b) → lPoint(l) → DRay(A, D) → mPoint(m) → ELine(B, E) → p_1Segment(A, E) → rCircle(C, (b_3 * a)) → cIntersect(c, s) → G, HLine(H, a) → tOrthogonalLine(B, t) → dIntersect(t, d) → ILine(I, A) → q_1Angle(A, B, A') → αRay(B, A) → fLine(B, A) → iOrthogonalLine(C, b) → kOrthogonalLine(E, m) → nIntersect(k, n) → FSegment(C, F) → pSegment(F, E) → qSegment(H, C) → eSegment(B, I) → f_1Segment(I, H) → g_1OrthogonalLine(C, i) → h_1Intersect(i, h_1) → JAngle(C, J, B) → βSegment(B, E) → i_1Segment(A, I) → j_1Dilate(B, If[0 < u ≤ 1, 1 - u, 0], E) → B'Segment(B, B') → k_1Dilate(A, If[1 < u ≤ 2, 2 - u, 0], I) → A'_1Segment(A, A'_1) → l_1Intersect(p_1, q_1) → KDilate(C, If[2 < u ≤ 3, 3 - u, 0], K) → C'Segment(C, C') → m_1Dilate(K, If[3 < u ≤ 4, 4 - u, 0], J) → K'Segment(K, K') → n_1Line(C, J) → r_1Circle(C, 1) → c_1Intersect(c_1, r_1, 1) → LRay(C, L) → s_1Line(J, C) → t_1Circle(J, 1) → d_1Intersect(d_1, t_1, 1) → MRay(J, M) → a_1Polygon(B, A, C) → poly1, c_2, b_1, a_2Polygon(A, E, F, C) → poly2, a_3, e_1, f_2, c_3Polygon(C, H, I, B) → poly3, c_4, h_2, i_2, b_2Angle(C, B, I) → γAngle(H, C, B) → δAngle(I, H, C) → εAngle(A, C, F) → ζAngle(C, F, E) → ηAngle(E, A, C) → θMin(a, Distance[A, B]) → vCircle(B, (0.2 * a)) → d_2Intersect(d_2, i, 2) → NIntersect(d_2, a, 1) → OCircleSector(B, N, O) → e_2