miniaufgabe.js
d3.min.js
function-plot.js
==== 13. Juni 2022 bis 17. Juni 2022 ====
=== Donnerstag 16. Juni 2022 ===
Ausrechnen, kürzen.miniAufgabe("#exobruchsummehochminusmalbruch","#solbruchsummehochminusmalbruch",
[["$\\displaystyle \\left(-\\frac{6}{5}+\\frac{3}{4}\\right)^{-1} \\cdot \\frac{3}{2}$", "$\\displaystyle \\left(-\\frac{6}{5}+\\frac{3}{4}\\right)^{-1} \\cdot \\frac{3}{2} = \\left(-\\frac{9}{20}\\right)^{-1} \\cdot \\frac{3}{2} = -\\frac{20}{9} \\cdot \\frac{3}{2} = -\\frac{10}{3}$"], ["$\\displaystyle \\left(\\frac{5}{2}-\\frac{5}{8}\\right)^{-1} \\cdot \\frac{3}{4}$", "$\\displaystyle \\left(\\frac{5}{2}-\\frac{5}{8}\\right)^{-1} \\cdot \\frac{3}{4} = \\left(\\frac{15}{8}\\right)^{-1} \\cdot \\frac{3}{4} = \\frac{8}{15} \\cdot \\frac{3}{4} = \\frac{2}{5}$"], ["$\\displaystyle \\left(\\frac{3}{2}-\\frac{2}{3}\\right)^{-1} \\cdot \\frac{4}{3}$", "$\\displaystyle \\left(\\frac{3}{2}-\\frac{2}{3}\\right)^{-1} \\cdot \\frac{4}{3} = \\left(\\frac{5}{6}\\right)^{-1} \\cdot \\frac{4}{3} = \\frac{6}{5} \\cdot \\frac{4}{3} = \\frac{8}{5}$"], ["$\\displaystyle \\left(\\frac{3}{2}-\\frac{2}{3}\\right)^{-1} \\cdot \\frac{3}{4}$", "$\\displaystyle \\left(\\frac{3}{2}-\\frac{2}{3}\\right)^{-1} \\cdot \\frac{3}{4} = \\left(\\frac{5}{6}\\right)^{-1} \\cdot \\frac{3}{4} = \\frac{6}{5} \\cdot \\frac{3}{4} = \\frac{9}{10}$"], ["$\\displaystyle \\left(\\frac{3}{2}-\\frac{3}{7}\\right)^{-1} \\cdot \\frac{3}{7}$", "$\\displaystyle \\left(\\frac{3}{2}-\\frac{3}{7}\\right)^{-1} \\cdot \\frac{3}{7} = \\left(\\frac{15}{14}\\right)^{-1} \\cdot \\frac{3}{7} = \\frac{14}{15} \\cdot \\frac{3}{7} = \\frac{2}{5}$"], ["$\\displaystyle \\left(\\frac{6}{5}-\\frac{3}{4}\\right)^{-1} \\cdot \\frac{3}{4}$", "$\\displaystyle \\left(\\frac{6}{5}-\\frac{3}{4}\\right)^{-1} \\cdot \\frac{3}{4} = \\left(\\frac{9}{20}\\right)^{-1} \\cdot \\frac{3}{4} = \\frac{20}{9} \\cdot \\frac{3}{4} = \\frac{5}{3}$"], ["$\\displaystyle \\left(-\\frac{3}{4}+\\frac{4}{3}\\right)^{-1} \\cdot \\frac{2}{3}$", "$\\displaystyle \\left(-\\frac{3}{4}+\\frac{4}{3}\\right)^{-1} \\cdot \\frac{2}{3} = \\left(\\frac{7}{12}\\right)^{-1} \\cdot \\frac{2}{3} = \\frac{12}{7} \\cdot \\frac{2}{3} = \\frac{8}{7}$"], ["$\\displaystyle \\left(-\\frac{3}{5}+\\frac{3}{2}\\right)^{-1} \\cdot \\frac{3}{4}$", "$\\displaystyle \\left(-\\frac{3}{5}+\\frac{3}{2}\\right)^{-1} \\cdot \\frac{3}{4} = \\left(\\frac{9}{10}\\right)^{-1} \\cdot \\frac{3}{4} = \\frac{10}{9} \\cdot \\frac{3}{4} = \\frac{5}{6}$"], ["$\\displaystyle \\left(\\frac{3}{7}-\\frac{3}{2}\\right)^{-1} \\cdot \\frac{5}{4}$", "$\\displaystyle \\left(\\frac{3}{7}-\\frac{3}{2}\\right)^{-1} \\cdot \\frac{5}{4} = \\left(-\\frac{15}{14}\\right)^{-1} \\cdot \\frac{5}{4} = -\\frac{14}{15} \\cdot \\frac{5}{4} = -\\frac{7}{6}$"], ["$\\displaystyle \\left(-\\frac{5}{8}+\\frac{5}{2}\\right)^{-1} \\cdot \\frac{5}{3}$", "$\\displaystyle \\left(-\\frac{5}{8}+\\frac{5}{2}\\right)^{-1} \\cdot \\frac{5}{3} = \\left(\\frac{15}{8}\\right)^{-1} \\cdot \\frac{5}{3} = \\frac{8}{15} \\cdot \\frac{5}{3} = \\frac{8}{9}$"]],
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ruby bruchterme-vereinfachen.rb 2
=== Freitag 17. Juni 2022 ===
Zeichnen Sie den Graphen der Funktion $f$ in einem sinnvollen Bereich. Beschriften Sie die Achsen!miniAufgabe("#exofunktionsgraphenzeichnen1","#solfunktionsgraphenzeichnen1",
[["$f(x)=(x-2)^2$", "$f(x)=(x-2)^2$"], ["$f(x)=x^2-2$", "$f(x)=x^2-2$"], ["$f(x)=\\sqrt{x-2}$", "$f(x)=\\sqrt{x-2}$"], ["$f(x)=\\sqrt{x}-2$", "$f(x)=\\sqrt{x}-2$"], ["$f(x)=|x-2|$", "$f(x)=|x-2|$"], ["$f(x)=|x|-2$", "$f(x)=|x|-2$"], ["$f(x)=x-2$", "$f(x)=x-2$"], ["$f(x)=(x-1)^2$", "$f(x)=(x-1)^2$"], ["$f(x)=x^2-1$", "$f(x)=x^2-1$"], ["$f(x)=\\sqrt{x-1}$", "$f(x)=\\sqrt{x-1}$"], ["$f(x)=\\sqrt{x}-1$", "$f(x)=\\sqrt{x}-1$"], ["$f(x)=|x-1|$", "$f(x)=|x-1|$"], ["$f(x)=|x|-1$", "$f(x)=|x|-1$"], ["$f(x)=x-1$", "$f(x)=x-1$"], ["$f(x)=(x+1)^2$", "$f(x)=(x+1)^2$"], ["$f(x)=x^2+1$", "$f(x)=x^2+1$"], ["$f(x)=\\sqrt{x+1}$", "$f(x)=\\sqrt{x+1}$"], ["$f(x)=\\sqrt{x}+1$", "$f(x)=\\sqrt{x}+1$"], ["$f(x)=|x+1|$", "$f(x)=|x+1|$"], ["$f(x)=|x|+1$", "$f(x)=|x|+1$"], ["$f(x)=x+1$", "$f(x)=x+1$"], ["$f(x)=(x+2)^2$", "$f(x)=(x+2)^2$"], ["$f(x)=x^2+2$", "$f(x)=x^2+2$"], ["$f(x)=\\sqrt{x+2}$", "$f(x)=\\sqrt{x+2}$"], ["$f(x)=\\sqrt{x}+2$", "$f(x)=\\sqrt{x}+2$"], ["$f(x)=|x+2|$", "$f(x)=|x+2|$"], ["$f(x)=|x|+2$", "$f(x)=|x|+2$"], ["$f(x)=x+2$", "$f(x)=x+2$"]],
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ruby funktionsgraphen-zeichnen.rb 1