指数函数探索
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这个范例展示了指数函数的图像和性质。它涉及的核心数学概念包括指数函数、函数图像和统计。通过使用GeoGebra命令如Element、Polygon和NumToFrac,用户可以动态探索指数函数的变化。适合高中数学教学和学习。
GeoGebra 命令及参数
Element(cVals, cIndx) → cValUnicodeToLetter(10007) → xmarkUnicodeToLetter(10003) → cmarkPolygon({(left, bottom), (left, top), (right, top), (right, bottom)}) → viewboxElement(B2:B7, cIndx) → cValFmtNumToFrac(E2) → F2NumToFrac(E3) → F3NumToFrac(E4) → F4NumToFrac(E5) → F5NumToFrac(E6) → F6NumToFrac(G2) → H2NumToFrac(G3) → H3NumToFrac(G4) → H4NumToFrac(G5) → H5NumToFrac(I2) → J2NumToFrac(I3) → J3NumToFrac(I4) → J4LaTeX(("a=" * a)) → lblANumToFrac(C2) → D2NumToFrac(C3) → D3NumToFrac(C4) → D4NumToFrac(C5) → D5NumToFrac(C6) → D6LaTeX("\text{\hphantom{ii}Second\\Difference}") → lblSecondLaTeX("\text{\hphantom{Di}First\\Difference}") → lblFirstLaTeX(("\vphantom{\dfrac{1}{1}}\times" * cValFmt)) → K3LaTeX(("\vphantom{\dfrac{1}{1}}\times" * cValFmt)) → K4LaTeX(("\vphantom{\dfrac{1}{1}}\times" * cValFmt)) → K2LaTeX(("\vphantom{\dfrac{1}{1}}\times" * cValFmt)) → K6LaTeX(("\vphantom{\dfrac{1}{1}}\times" * cValFmt)) → K5LaTeX(("\vphantom{\dfrac{1}{1}}c=" * cValFmt)) → lblCLaTeX(((("\vphantom{\dfrac{1}{1}}f(x)=" * If[a ≟ 1, "", (("" * a) * "\cdot")]) * cValFmt) * "^x")) → lblFuncLaTeX((((("\text{\textbf{Question: }" * MainInstruc) * "\\\textbf{Instructions: }") * SpecInstruc) * "}")) → allInstrucTableText({Zip[(A * "\\"), A, H2:H5]}, "vr") → firstDiffsTableText({Zip[(A * "\\"), A, J2:J4]}, "vr") → secDiffsTableText({Zip[(A * "\\"), A, D2:D6]}, "vc") → tblXTableText({Zip[(A * "\\"), A, F2:F6]}, "vc") → tblY