圆内接四边形 by adrian Swenson
几何画板及绘图内容加载中,请稍等……
①本范例演示圆内接四边形的几何性质与构造方法;②涉及核心数学概念包括圆、多边形、角度关系、对角互补等;③作图要点运用了Circle(圆)、Point(点)、Polygon(多边形)、Segment(线段)、Midpoint(中点)、Intersect(交点)、Area(面积)、Text(文本)等GeoGebra命令;④适合高中数学教学,用于理解圆内接四边形的性质及作图技巧。
GeoGebra 命令及参数
Circle(A, B) → cPoint(c) → CPoint(c) → DPoint(c) → EPoint(c) → FPolygon(C, D, E, F) → q1, c_1, d, e, fSegment(C, E) → gSegment(F, D) → hMidpoint(C, D) → GMidpoint(D, E) → HMidpoint(E, F) → IMidpoint(F, C) → JSegment(F, H) → iSegment(F, G) → jSegment(C, I) → kSegment(C, H) → lSegment(D, J) → mSegment(D, I) → nSegment(E, G) → pSegment(E, J) → qIntersect(j, m) → KIntersect(i, n) → LIntersect(l, p) → MIntersect(k, q) → NPolygon(K, M, L, N) → q2, k_1, m_1, l_1, n_1Circle(O, a) → rPoint(r) → PPoint(r) → QPoint(r) → RPoint(r) → SPolygon(P, Q, R, S) → q3, p_1, q_1, r_1, sSegment(P, R) → tMidpoint(p_1) → TMidpoint(q_1) → UMidpoint(r_1) → VMidpoint(s) → WMidpoint(t) → ZSegment(Q, Z) → bSegment(U, P) → f_1Segment(P, V) → g_1Segment(Z, S) → h_1Segment(W, R) → i_1Segment(R, T) → j_1Intersect(b, f_1) → A_1Intersect(g_1, h_1) → B_1Segment(S, Q) → s_1Midpoint(s_1) → C_1Segment(Q, W) → t_1Segment(C_1, P) → a_1Segment(T, S) → b_1Segment(Q, V) → d_1Segment(R, C_1) → e_1Segment(S, U) → f_2Intersect(t_1, a_1) → D_1Intersect(d_1, e_1) → E_1Intersect(e_1, d_1) → F_1Intersect(d_1, f_2) → G_1Intersect(f_2, e_1) → H_1Intersect(e_1, a_1) → I_1Intersect(a_1, g_1) → J_1Polygon(D_1, A_1, E_1, B_1) → q4, g_2, h_2, i_2, j_2Area(q4) → oText(o) → text1Area(q3) → u
AI 绘图提示语参考
画一个圆,在圆上随机放置四个点,连接这些点构成一个四边形。接着,在四边形内部绘制两条对角线,并找到每条边的中点。连接相邻边的中点,形成一个小四边形。最后,以四边形的外接圆为基准,再绘制一个内接四边形,并标注所有关键点和线段。
以上提示语为根据原始绘图命令整理而来,仅供参考。