抛物线的标准形式 by Auston B Cron

几何画板及绘图内容加载中，请稍等……

2015-11-26 02:53

函数解析几何最值优化

本范例展示了抛物线的标准形式 ax² + bx + c。通过调整 a、b、c 的值，可以观察到抛物线开口方向、顶点位置和与坐标轴的交点变化。使用了 Extremum、Intersect、Simplify、Text、If、TableText 等命令，适合高中数学教学。

GeoGebra 命令及参数

Extremum(f) → A
Intersect(f, xAxis) → B, C
Simplify(f) → g
Text("y-intecept: D(0," + (f(0)) + ")") → yIntercept
If(y(A) ≠ 0 ∧ (¬Defined[B]), "There are NO x-Intercepts", If[x(B) ≠ 0 ∨ x(C) ≠ 0 ∧ Defined[C], "The x- intercepts are B" + B + " and C" + C, "The x-intercept is B" + B]) → xIntercepts
TableText({{"", "", "Chart"}, line1, line2}, "|_c") → chart