优化文本矩形

几何画板及绘图内容加载中，请稍等……

2018-12-08 00:35

①本范例演示如何通过 GeoGebra 构造并优化矩形面积；②涉及核心数学概念包括解析几何、函数、积分和最值优化；③作图要点：使用 Polygon 命令绘制矩形，Locus 命令追踪顶点轨迹，涉及 area, height, width, integral 等对象；④适合高中及以上学生学习和教师教学演示。

GeoGebra 命令及参数

Polygon((a - width / 2, b + height / 2), (a - width / 2, b - height / 2), (a + width / 2, b + height / 2), (a + width / 2, b - height / 2)) → q1, f, g, h, i
Polygon((a - width / 2, b + height / 2), (a + width / 2, b + height / 2), (a - width / 2, b - height / 2), (a + width / 2, b - height / 2)) → q2, j, k, l, m
Polygon((a - width / 2, b + height / 2), (a - width / 2, b - height / 2), (a + width / 2, b + height / 2), (a + width / 2, b - height / 2)) → q3, n, p, q, r
Polygon((a - width / 2, b + height / 2), (a + width / 2, b + height / 2), (a + width / 2, b - height / 2), (a - width / 2, b - height / 2)) → q4, s, t, c, d
Polygon((a - width / 2 - right, b + height / 2 + top), (a + width / 2 + right, b + height / 2 + top), (a + width / 2 + right, b - height / 2 - top), (a - width / 2 - right, b - height / 2 - top)) → q5, e, f_1, g_1, h_1
Locus(B, height) → loc1