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探索直线方程y=mx+b

探索直线方程y=mx+b
几何画板及绘图内容加载中，请稍等……
2019-02-28 23:21
函数解析几何几何作图
本范例演示直线方程y=mx+b与其图形之间的关系。核心数学概念包括直线方程、斜率和截距。使用了Polygon, UnicodeToLetter, Numerator, Denominator, LaTeX, If等命令。适合初中及以上学生学习直线方程和几何作图。

GeoGebra 命令及参数

  1. Polygon((-6.3, -20.8), (-6.3, 20.8), (6.3, 20.8), (6.3, -20.8)) → viewBox, g, h, i, j
  2. UnicodeToLetter(10007) → xmark
  3. UnicodeToLetter(10003) → cmark
  4. Numerator(m) → rise
  5. Denominator(m) → run
  6. LaTeX("\text{\textbf{Question: } How do the values of \(m\) and \(b\) change the properties of a line?\\\textbf{Instructions: } Move the sliders for \(m\) and \(b\) to help you recall how their values affect\\the properties of a line.}") → TEXT
  7. Polygon(intercept, point2, (x(point2), y(intercept))) → t1, hypotenuse, riseLine, runLine
  8. LaTeX(("b=" * b)) → bCaption
  9. LaTeX(rise) → riseLabel
  10. LaTeX(run) → runLabel
  11. If(rise < 0, (-0.2, 1.3), (-0.2, -0.2)) → runOffset
  12. LaTeX(("\vphantom{\dfrac{1}{2}}m=" * NumToImproperFrac[m])) → mCaption