比较图形
几何画板及绘图内容加载中,请稍等……
这个范例演示了相似图形的概念。通过使用缩放、旋转等变换,可以观察到相似图形的性质。构造摘要中使用了Polygon, Midpoint, Segment等GeoGebra命令。适合初中及以上学生学习几何变换。
GeoGebra 命令及参数
Polygon(A, B, C) → poly1, c, a, bMidpoint(a) → DMidpoint(b) → EMidpoint(c) → FSegment(F, C) → dSegment(E, B) → eIntersect(d, e) → GMirror(G, a) → G'Line(G', a) → fOrthogonalLine(D, a) → gIntersect(g, f) → HRay(D, H) → hPoint(h) → ILine(I, a) → iSegment(D, I) → jOrthogonalLine(F, c) → kOrthogonalLine(E, b) → lCircle(F, j) → pCircle(E, j) → qIntersect(p, k, 1) → JIntersect(q, l, 1) → KLine(J, c) → mLine(K, b) → nIntersect(m, n) → LIntersect(i, n) → MIntersect(i, m) → NSegment(F, J) → rSegment(E, K) → sPolygon(L, N, M) → poly2, m_1, l_1, n_1Polygon(O, P, Q, R) → poly3, o, p_1, q_1, r_1Segment(R, P) → tSegment(O, Q) → a_1Intersect(t, a_1) → SMidpoint(p_1) → TMidpoint(q_1) → UMidpoint(r_1) → VMidpoint(o) → WMirror(S, p_1) → S'Line(S', p_1) → b_1OrthogonalLine(T, b_1) → c_1Intersect(b_1, c_1) → ZRay(T, Z) → d_1Point(d_1) → A_1Line(A_1, p_1) → e_1Segment(T, A_1) → f_1OrthogonalLine(W, o) → g_1Circle(W, f_1) → h_1Intersect(h_1, g_1, 1) → B_1Line(B_1, o) → i_1Segment(W, B_1) → j_1Intersect(e_1, i_1) → C_1OrthogonalLine(V, r_1) → k_1Circle(V, f_1) → s_1Intersect(s_1, k_1, 1) → D_1Line(D_1, r_1) → t_1Segment(V, D_1) → a_2Intersect(i_1, t_1) → E_1OrthogonalLine(U, q_1) → b_2Circle(U, f_1) → c_2Intersect(c_2, b_2, 1) → F_1Line(F_1, q_1) → d_2Segment(U, F_1) → e_2Intersect(t_1, d_2) → G_1Intersect(e_1, d_2) → H_1Polygon(E_1, C_1, H_1, G_1) → poly4, e_3, c_3, h_2, g_2
AI 绘图提示语参考
绘制两个相似三角形,首先画出三角形ABC,然后通过中点D、E、F构造线段和镜像,接着利用垂直线和圆找到相似三角形的对应点,最后通过镜像和垂直线构造出第二个三角形,并确保两个三角形相似。
以上提示语为根据原始绘图命令整理而来,仅供参考。