测量:九年级数学_面积:箭头的面积
几何画板及绘图内容加载中,请稍等……
①本范例演示如何通过交互式工具探究箭头(作为复合图形)的面积;②涉及的核心数学概念包括面积计算、几何作图、坐标系应用;③作图要点:从构造摘要中提炼,使用了Segment(线段)、Midpoint(中点)、Circle(圆)、Point(点)、Tangent(切线)、Line(直线)、Intersect(交点)、OrthogonalLine(垂线)、Polygon(多边形)、Area(面积)等GeoGebra命令/对象;④适合九年级学生或需要复习复合图形面积计算的学习者使用。
GeoGebra 命令及参数
Segment(B_1, C) → aMidpoint(a) → DCircle(D, B_1) → cPoint(a) → ECircle(D, E) → dTangent(B_1, c) → b,Line(E, b) → eLine(C, b) → fIntersect(d, a) → A_1, FLine(F, b) → gPoint(b) → GLine(D, b) → iPoint(b) → LPoint(b) → HSegment(H, G) → hPoint(h) → AOrthogonalLine(A, h) → kPoint(b) → JSegment(L, J) → jPoint(j) → BOrthogonalLine(B, j) → lIntersect(k, e) → MIntersect(k, i) → NIntersect(g, k) → OIntersect(k, f) → PIntersect(l, e) → QIntersect(l, i) → RIntersect(l, g) → SIntersect(l, f) → TSegment(A, R) → mSegment(P, R) → nSegment(A, M) → pSegment(P, O) → qSegment(M, E) → rSegment(E, F) → sSegment(F, O) → tPolygon(A, M, E, D, F, O, P, R) → poly1, i_1, m_1, e_1, d_1, f_1, o, p_1, r_1Polygon(E, B_1, A, M) → Rectangle_1, e_2, b_1, i_2, m_2Polygon(F, C, P, O) → Rectangle_2, f_2, c_1, p_2, o_1Polygon(A, N, R, B) → poly4, i_3, n_1, r_2, k_1Polygon(N, P, T, R) → poly5, n_2, p_3, t_1, r_3Polygon(R, B, A) → Triangle_3, i_4, r_4, k_2Polygon(P, R, T) → Triangle_4, t_2, p_4, r_5Polygon(A, N, R) → Triangle_1, r_6, i_5, n_3Polygon(N, P, R) → Triangle_2, r_7, n_4, p_5Point(b) → IOrthogonalLine(I, b) → a_1Intersect(e, a_1) → KIntersect(g, a_1) → UIntersect(f, a_1) → VPoint(b) → WOrthogonalLine(W, b) → g_1Intersect(e, g_1) → ZIntersect(g, g_1) → C_1Intersect(f, g_1) → D_1Segment(W, D_1) → h_1Segment(I, K) → j_1Segment(B_1, W) → l_1Segment(C, D_1) → q_1Segment(K, U) → s_1Segment(U, V) → a_2OrthogonalLine(B_1, b_1) → b_2Point(b_2) → E_1OrthogonalLine(E_1, b_2) → c_2Intersect(c_2, k) → F_1Point(k) → G_1OrthogonalLine(G_1, k) → d_2Intersect(d_2, l) → H_1Segment(E_1, F_1) → g_2Segment(G_1, H_1) → h_2Polygon(E, M, O, F) → Rectangle_3, e_3, m_3, o_2, f_3OrthogonalLine(R, i_4) → j_2OrthogonalLine(B, i_4) → l_2Point(l_2) → I_1OrthogonalLine(I_1, l_2) → q_2Intersect(q_2, j_2) → J_1Segment(I_1, J_1) → s_2Point(s_2) → K_1Area(Rectangle_1) → uArea(Rectangle_3) → vArea(poly1) → wArea(Triangle_1) → u_1
AI 绘图提示语参考
画一个箭头形状,首先绘制箭头的底边和顶点,然后以底边中点为圆心画一个圆,再以底边与圆的切点为圆心画另一个圆,连接切点与顶点形成直线,交点处绘制辅助线,最后将所有交点和辅助线构成的封闭区域填充颜色,同时保留部分辅助线,形成箭头轮廓和内部分割区域。
以上提示语为根据原始绘图命令整理而来,仅供参考。