多边形面积测量
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本范例演示如何使用GeoGebra测量多边形的面积。核心数学概念包括面积计算和几何作图。通过使用Segment, Vector, Point, Translate, Polygon等命令,可以构建一个多边形并测量其面积。适合初中及以上学生或教师教学使用。
GeoGebra 命令及参数
Segment(X0, X0 + (0, 0.25)) → gSegment(X0, X0 + (0, mark)) → hSegment(X0 + (1, 0), X0 + (1, mark)) → iVector(X0 + (0, mark / 2), X0 + (1, mark / 2)) → uVector(X0 + (1, mark / 2), X0 + (0, mark / 2)) → vSegment(Y0 - (mark, 0), Y0) → jSegment(Y0 - (mark, 1), Y0 - (0, 1)) → kVector(Y0 - (mark / 2, 1), Y0 - (mark / 2, 0)) → wVector(Y0 - (mark / 2, 0), Y0 - (mark / 2, 1)) → zPoint(yAxis) → APoint(xAxis) → DTranslate(A, Vector[(t1 * Vector[A, D])]) → A'Translate(F, Vector[(t1 * Vector[A, D])]) → F'Translate(B, Vector[(t1 * Vector[A, D])]) → B'Polygon(A', F', B') → poly1, b', a', f'Translate(C, Vector[(t2 * Vector[D, A])]) → C'Translate(D, Vector[(t2 * Vector[D, A])]) → D'Translate(H, Vector[(t2 * Vector[D, A])]) → H'Translate(E, Vector[(t2 * Vector[D, A])]) → E'Polygon(C', D', H') → poly2, a, b, cTranslate(B, Vector[(t3 * Vector[B, A])]) → B'_1Translate(C, Vector[(t3 * Vector[B, A])]) → C'_1Translate(E, Vector[(t3 * Vector[B, A])]) → E'_1Polygon(B'_1, C'_1, E'_1) → poly3, e'_1, b'_1, c'_1Translate(A, Vector[(t4 * Vector[A, B])]) → A'_1Translate(G, Vector[(t4 * Vector[A, B])]) → G'Translate(D, Vector[(t4 * Vector[A, B])]) → D'_1Polygon(A'_1, G', D'_1) → poly4, d'_1, a'_1, g'Polygon(E, F, G, H) → poly5, e, f, g_1, h_1Polygon(A', F', B') → poly1', b'_2, a'_2, f'_1Polygon(C', D', H') → poly2', d, l, mPolygon(B'_1, C'_1, E'_1) → poly3', e'_2, b'_3, c'_2Polygon(A'_1, G', D'_1) → poly4', d'_2, a'_3, g'_1Polygon(A, B, C, D) → poly6, a_1, b_1, c_1, d_1Polygon(A, B, F) → poly7, f_1, a_2, b_2Polygon(B, C, E) → poly8, e_1, b_3, c_2Polygon(C, D, H) → poly9, h_2, c_3, d_2Polygon(A, G, D) → poly10, d_3, a_3, g_2
AI 绘图提示语参考
绘制一个四边形ABCD,然后在四边形内部构造一个五边形EFGHI。接着,分别以四边形的顶点为起点,向外构造四个新的多边形,每个多边形都与原四边形和五边形有部分重叠。最后,测量并显示每个多边形的面积。
以上提示语为根据原始绘图命令整理而来,仅供参考。