二次函数与线性函数的交点

几何画板及绘图内容加载中，请稍等……

2019-01-21 22:31

①本范例演示了二次函数与线性函数图像的交点及其动态变化；②涉及核心数学概念包括函数图像、交点求解、解析几何、微积分；③作图要点运用了LaTeX、If、Intersect、Polygon等GeoGebra命令，通过滑块和参数控制函数与交点的动态展示；④适合高中及以上数学教学，用于函数图像分析、交点计算及微积分初步教学。

GeoGebra 命令及参数

LaTeX("\textbf{Question: }How many points of intersection can there be given a quadratic and a linear\\relation?") → QUESTION
If(isFirstGraph, "slope", "\(y\)-intercept") → change
If(isFirstGraph, "\(y\)-intercept of 2", "slope of 2") → given
LaTeX((((("\textbf{Instructions: }In this activity there are two graphs to examine. This graph displays a\\quadratic relation and a linear relation with a \textbf{" * given) * "}. Changing the slider will\\change the \textbf{") * change) * "} of the line. What can you observe?")) → INSTRUCTIONS
Intersect(firstQuadratic, firstLine) → A, B
Intersect(secondQuadratic, secondLine) → C, D
LaTeX((((("\text{" * QUESTION) * "\\") * INSTRUCTIONS) * "}")) → TEXT
Polygon({(-10.75, -10.75), (-10.75, 10.75), (10.75, 10.75), (10.75, -10.75)}) → viewBox