直角三角形中的半径
几何画板及绘图内容加载中,请稍等……
这个范例演示了直角三角形中的半径。它涉及直角三角形和圆的基本概念。通过使用GeoGebra命令如Segment, Intersect, OrthogonalLine, Circle等,可以构造出直角三角形中的半径。适合初中和高中学生学习几何作图。
GeoGebra 命令及参数
Segment(C, D) → fSegment(D, E) → gSegment(E, F) → hSegment(F, C) → iSegment(D, F) → jSegment(D, F) → kSegment(C, E) → lIntersect(k, l) → GOrthogonalLine(G, g) → mIntersect(m, g) → HIntersect(m, i) → ICircle(G, 1.5) → cIntersect(c, f, 1) → JIntersect(c, h, 1) → KVector(G, I) → uVector(G, J) → vVector(G, H) → wVector(G, K) → dIntersect(c, l, 1) → LIntersect(c, k, 1) → MIntersect(c, l, 2) → NIntersect(c, k, 2) → OVector(G, M) → eVector(G, L) → nVector(G, N) → pVector(G, O) → qOrthogonalLine(M, v) → rOrthogonalLine(M, xAxis) → sOrthogonalLine(N, d) → tOrthogonalLine(O, u) → f_1Point(u) → PPolygon(L, P, G) → poly1, g_1, l_1, p_1Point(v) → QPolygon(L, Q, G) → poly2, g_2, l_2, q_1Polygon(Q, M, G) → poly3, g_3, q_2, m_1Point(w) → RPolygon(M, R, G) → poly4, g_4, m_2, r_1Polygon(R, N, G) → poly5, g_5, r_2, n_1Point(d) → SPolygon(N, S, G) → poly6, g_6, n_2, s_1Polygon(G, S, O) → poly7, o, g_7, s_2Polygon(G, P, O) → poly8, o_1, g_8, p_2Intersect(f_1, h) → TPolygon(O, T, F) → poly9, f_2, o_2, t_1Intersect(t, i) → UPolygon(O, U, F) → poly10, f_3, o_3, u_1Intersect(r, i) → VPolygon(C, L, V) → poly11, v_1, c_1, l_3Intersect(f_1, f) → WPolygon(W, L, C) → poly12, c_2, w_1, l_4Intersect(s, f) → ZPolygon(Z, M, D) → poly13, d_1, z_1, m_3Intersect(r, g) → A_1Polygon(D, A_1, M) → poly14, m_4, d_2, a_1Intersect(t, g) → B_1Polygon(N, B_1, E) → poly15, e_1, n_3, b_1Intersect(s, h) → C_1Polygon(N, E, C_1) → poly16, c_3, n_4, e_2
AI 绘图提示语参考
画一个直角三角形,标出其斜边和两个直角边,然后以直角顶点为圆心画一个圆,使圆与斜边相切,并标出切点。接着,从圆心向三角形的三个顶点分别画向量,并从圆心向切点画向量。最后,将圆与三角形边界的交点连接起来,形成多个小多边形,展示圆与直角三角形的关系。
以上提示语为根据原始绘图命令整理而来,仅供参考。