积极 AI Logo 积极 AI

二次多项式的零点

二次多项式的零点
几何画板及绘图内容加载中，请稍等……
2018-02-17 23:08
函数解析几何几何作图
①本范例演示了二次多项式的零点及其几何意义；②涉及核心数学概念包括二次函数、零点、因式分解、解析几何；③构造过程中使用了TableText, Textfield, Root, Factor等GeoGebra命令和对象；④适合高中数学教学和函数图像研究。

GeoGebra 命令及参数

  1. TableText({{A1, B1, C1}, {A2, B2, C2}, {A3, B3, C3}, {A4, B4, C4}, {A5, B5, C5}, {A6, B6, C6}, {A7, B7, C7}, {A8, B8, C8}, {A9, B9, C9}, {A10, B10, C10}, {A11, B11, C11}}, "|_") → text1
  2. Textfield(f) → inputBox1
  3. Root(f) → A, B, C, D, E
  4. TableText({{A1, B1, C1}, {A2, B2, C2}, {A3, B3, C3}, {A4, B4, C4}, {A5, B5, C5}, {A6, B6, C6}, {A7, B7, C7}, {A8, B8, C8}, {A9, B9, C9}, {A10, B10, C10}, {A11, B11, C11}, {A12, B12, C12}, {A13, B13, C13}, {A14, B14, C14}, {A15, B15, C15}, {A16, B16, C16}, {A17, B17, C17}, {A18, B18, C18}, {A19, B19, C19}, {A20, B20, C20}, {A21, B21, C21}, {A22, B22, C22}}, "|_") → text3
  5. Factor(f) → g
  6. TableText({{A1, B1, C1}, {A2, B2, C2}, {A3, B3, C3}, {A4, B4, C4}, {A5, B5, C5}, {A6, B6, C6}, {A7, B7, C7}, {A8, B8, C8}, {A9, B9, C9}, {A10, B10, C10}, {A11, B11, C11}, {A12, B12, C12}, {A13, B13, C13}, {A14, B14, C14}, {A15, B15, C15}, {A16, B16, C16}, {A17, B17, C17}, {A18, B18, C18}, {A19, B19, C19}, {A20, B20, C20}, {A21, B21, C21}, {A22, B22, C22}}, "|_") → text2

AI 绘图提示语参考

画一个二次函数的图像，并显示其零点、因式分解形式和几何意义。首先，输入一个二次函数表达式，然后计算并标记出函数的零点，接着展示函数的因式分解形式。最后，用表格分别列出零点和因式分解的结果，以便观察它们之间的关系。
以上提示语为根据原始绘图命令整理而来，仅供参考。