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寻找三位数平方根的边长

寻找三位数平方根的边长
几何画板及绘图内容加载中，请稍等……
2019-01-25 05:57
多边形解析几何几何作图
本范例演示如何找到三位数平方根的边长。核心数学概念包括平方根和加法。通过使用GeoGebra命令如Polygon、Text等，可以构造出一个几何图形。适合初中及以上学生学习几何作图。

GeoGebra 命令及参数

  1. Polygon((0, 0), (0, 10), (10, 10), (10, 0)) → Tot, f, g, h, i
  2. Polygon((0, 0), (((10 / side * 100) * c), 0), 4) → C
  3. Polygon((((10 / side * 100) * c), 0), ((10 / side * ((100 * c) + (10 * d))), 0), ((10 / side * ((100 * c) + (10 * d))), ((10 / side * 100) * c)), (((10 / side * 100) * c), ((10 / side * 100) * c))) → Dl, j, k, l, m
  4. Polygon((0, ((10 / side * 100) * c)), (0, (10 / side * ((100 * c) + (10 * d)))), (((10 / side * 100) * c), (10 / side * ((100 * c) + (10 * d)))), (((10 / side * 100) * c), ((10 / side * 100) * c))) → Dt, n, p, q, r
  5. Polygon((((10 / side * 100) * c), ((10 / side * 100) * c)), ((10 / side * ((100 * c) + (10 * d))), ((10 / side * 100) * c)), 4) → Dc
  6. Polygon(((10 / side * ((100 * c) + (10 * d))), 0), (10, 0), (10, ((10 / side * 100) * c)), ((10 / side * ((100 * c) + (10 * d))), ((10 / side * 100) * c))) → Ul, s, t, a, b
  7. Polygon((0, (10 / side * ((100 * c) + (10 * d)))), (0, 10), (((10 / side * 100) * c), 10), (((10 / side * 100) * c), (10 / side * ((100 * c) + (10 * d))))) → Ut, e, f_1, g_1, h_1
  8. Polygon(((10 / side * ((100 * c) + (10 * d))), ((10 / side * 100) * c)), (10, ((10 / side * 100) * c)), (10, (10 / side * ((100 * c) + (10 * d)))), ((10 / side * ((100 * c) + (10 * d))), (10 / side * ((100 * c) + (10 * d))))) → Ulc, i_1, j_1, k_1, l_1
  9. Polygon((((10 / side * 100) * c), (10 / side * ((100 * c) + (10 * d)))), (((10 / side * 100) * c), 10), ((10 / side * ((100 * c) + (10 * d))), 10), ((10 / side * ((100 * c) + (10 * d))), (10 / side * ((100 * c) + (10 * d))))) → Utc, m_1, n_1, p_1, q_1
  10. Polygon(((10 / side * ((100 * c) + (10 * d))), (10 / side * ((100 * c) + (10 * d)))), (10, (10 / side * ((100 * c) + (10 * d)))), 4) → Ucc
  11. Text((100 * c), (((5 / side * 100) * c), -0.5)) → texto1
  12. Text((10 * d), ((10 / side * ((100 * c) + (5 * d))), -0.5)) → texto2
  13. Text(u, ((10 / side * ((100 * c) + (10 * d) + u / 2)), -0.5)) → texto3

AI 绘图提示语参考

绘制一个10x10的正方形，然后在正方形内部构造一个更小的正方形，其边长为原正方形边长的100倍乘以c加上10倍d。在每个顶点处添加标签，分别标记c和d的值，以及一个变量u的值。确保所有小正方形的边都与大正方形的边平行。
以上提示语为根据原始绘图命令整理而来，仅供参考。