miniaufgabe.js
d3.min.js
function-plot.js
==== 6. März 2023 bis 10. März 2023 ====
=== Montag 6. März 2023 ===
Schreiben Sie in Normalform.miniAufgabe("#exowurzelnnormalform3","#solwurzelnnormalform3",
[["$\\displaystyle \\frac{\\sqrt{13} + \\sqrt{7}}{\\sqrt{7} + \\sqrt{2}}$", "$\\displaystyle \\frac{\\sqrt{13} + \\sqrt{7}}{\\sqrt{7} + \\sqrt{2}} = \\frac{\\sqrt{13} + \\sqrt{7}}{\\sqrt{7} + \\sqrt{2}} \\cdot \\frac{\\sqrt{7} - \\sqrt{2}}{\\sqrt{7} - \\sqrt{2}} = \\frac{\\sqrt{13 \\cdot 7}+7-\\sqrt{13 \\cdot 2}-\\sqrt{7\\cdot 2}}{7-2} = \\frac{1}{5} \\cdot \\left(\\sqrt{91}+7-\\sqrt{26}-\\sqrt{14} \\right)$"], ["$\\displaystyle \\frac{\\sqrt{7} + \\sqrt{11}}{\\sqrt{11} - \\sqrt{2}}$", "$\\displaystyle \\frac{\\sqrt{7} + \\sqrt{11}}{\\sqrt{11} - \\sqrt{2}} = \\frac{\\sqrt{7} + \\sqrt{11}}{\\sqrt{11} - \\sqrt{2}} \\cdot \\frac{\\sqrt{11} + \\sqrt{2}}{\\sqrt{11} + \\sqrt{2}} = \\frac{\\sqrt{7 \\cdot 11}+11+\\sqrt{7 \\cdot 2}+\\sqrt{11\\cdot 2}}{11-2} = \\frac{1}{9} \\cdot \\left(\\sqrt{77}+11+\\sqrt{14}+\\sqrt{22} \\right)$"], ["$\\displaystyle \\frac{\\sqrt{2} + \\sqrt{11}}{\\sqrt{11} - \\sqrt{5}}$", "$\\displaystyle \\frac{\\sqrt{2} + \\sqrt{11}}{\\sqrt{11} - \\sqrt{5}} = \\frac{\\sqrt{2} + \\sqrt{11}}{\\sqrt{11} - \\sqrt{5}} \\cdot \\frac{\\sqrt{11} + \\sqrt{5}}{\\sqrt{11} + \\sqrt{5}} = \\frac{\\sqrt{2 \\cdot 11}+11+\\sqrt{2 \\cdot 5}+\\sqrt{11\\cdot 5}}{11-5} = \\frac{1}{6} \\cdot \\left(\\sqrt{22}+11+\\sqrt{10}+\\sqrt{55} \\right)$"], ["$\\displaystyle \\frac{\\sqrt{13} + \\sqrt{3}}{\\sqrt{3} + \\sqrt{2}}$", "$\\displaystyle \\frac{\\sqrt{13} + \\sqrt{3}}{\\sqrt{3} + \\sqrt{2}} = \\frac{\\sqrt{13} + \\sqrt{3}}{\\sqrt{3} + \\sqrt{2}} \\cdot \\frac{\\sqrt{3} - \\sqrt{2}}{\\sqrt{3} - \\sqrt{2}} = \\frac{\\sqrt{13 \\cdot 3}+3-\\sqrt{13 \\cdot 2}-\\sqrt{3\\cdot 2}}{3-2} = \\frac{1}{1} \\cdot \\left(\\sqrt{39}+3-\\sqrt{26}-\\sqrt{6} \\right)$"], ["$\\displaystyle \\frac{\\sqrt{3} + \\sqrt{11}}{\\sqrt{11} + \\sqrt{7}}$", "$\\displaystyle \\frac{\\sqrt{3} + \\sqrt{11}}{\\sqrt{11} + \\sqrt{7}} = \\frac{\\sqrt{3} + \\sqrt{11}}{\\sqrt{11} + \\sqrt{7}} \\cdot \\frac{\\sqrt{11} - \\sqrt{7}}{\\sqrt{11} - \\sqrt{7}} = \\frac{\\sqrt{3 \\cdot 11}+11-\\sqrt{3 \\cdot 7}-\\sqrt{11\\cdot 7}}{11-7} = \\frac{1}{4} \\cdot \\left(\\sqrt{33}+11-\\sqrt{21}-\\sqrt{77} \\right)$"], ["$\\displaystyle \\frac{\\sqrt{5} + \\sqrt{13}}{\\sqrt{13} + \\sqrt{3}}$", "$\\displaystyle \\frac{\\sqrt{5} + \\sqrt{13}}{\\sqrt{13} + \\sqrt{3}} = \\frac{\\sqrt{5} + \\sqrt{13}}{\\sqrt{13} + \\sqrt{3}} \\cdot \\frac{\\sqrt{13} - \\sqrt{3}}{\\sqrt{13} - \\sqrt{3}} = \\frac{\\sqrt{5 \\cdot 13}+13-\\sqrt{5 \\cdot 3}-\\sqrt{13\\cdot 3}}{13-3} = \\frac{1}{10} \\cdot \\left(\\sqrt{65}+13-\\sqrt{15}-\\sqrt{39} \\right)$"], ["$\\displaystyle \\frac{\\sqrt{7} - \\sqrt{11}}{\\sqrt{11} - \\sqrt{2}}$", "$\\displaystyle \\frac{\\sqrt{7} - \\sqrt{11}}{\\sqrt{11} - \\sqrt{2}} = \\frac{\\sqrt{7} - \\sqrt{11}}{\\sqrt{11} - \\sqrt{2}} \\cdot \\frac{\\sqrt{11} + \\sqrt{2}}{\\sqrt{11} + \\sqrt{2}} = \\frac{\\sqrt{7 \\cdot 11}-11+\\sqrt{7 \\cdot 2}-\\sqrt{11\\cdot 2}}{11-2} = \\frac{1}{9} \\cdot \\left(\\sqrt{77}-11+\\sqrt{14}-\\sqrt{22} \\right)$"], ["$\\displaystyle \\frac{\\sqrt{11} - \\sqrt{13}}{\\sqrt{13} + \\sqrt{7}}$", "$\\displaystyle \\frac{\\sqrt{11} - \\sqrt{13}}{\\sqrt{13} + \\sqrt{7}} = \\frac{\\sqrt{11} - \\sqrt{13}}{\\sqrt{13} + \\sqrt{7}} \\cdot \\frac{\\sqrt{13} - \\sqrt{7}}{\\sqrt{13} - \\sqrt{7}} = \\frac{\\sqrt{11 \\cdot 13}-13-\\sqrt{11 \\cdot 7}+\\sqrt{13\\cdot 7}}{13-7} = \\frac{1}{6} \\cdot \\left(\\sqrt{143}-13-\\sqrt{77}+\\sqrt{91} \\right)$"], ["$\\displaystyle \\frac{\\sqrt{7} + \\sqrt{13}}{\\sqrt{13} + \\sqrt{11}}$", "$\\displaystyle \\frac{\\sqrt{7} + \\sqrt{13}}{\\sqrt{13} + \\sqrt{11}} = \\frac{\\sqrt{7} + \\sqrt{13}}{\\sqrt{13} + \\sqrt{11}} \\cdot \\frac{\\sqrt{13} - \\sqrt{11}}{\\sqrt{13} - \\sqrt{11}} = \\frac{\\sqrt{7 \\cdot 13}+13-\\sqrt{7 \\cdot 11}-\\sqrt{13\\cdot 11}}{13-11} = \\frac{1}{2} \\cdot \\left(\\sqrt{91}+13-\\sqrt{77}-\\sqrt{143} \\right)$"], ["$\\displaystyle \\frac{\\sqrt{11} - \\sqrt{7}}{\\sqrt{7} + \\sqrt{3}}$", "$\\displaystyle \\frac{\\sqrt{11} - \\sqrt{7}}{\\sqrt{7} + \\sqrt{3}} = \\frac{\\sqrt{11} - \\sqrt{7}}{\\sqrt{7} + \\sqrt{3}} \\cdot \\frac{\\sqrt{7} - \\sqrt{3}}{\\sqrt{7} - \\sqrt{3}} = \\frac{\\sqrt{11 \\cdot 7}-7-\\sqrt{11 \\cdot 3}+\\sqrt{7\\cdot 3}}{7-3} = \\frac{1}{4} \\cdot \\left(\\sqrt{77}-7-\\sqrt{33}+\\sqrt{21} \\right)$"]],
"
", "
");
ruby normalform-von-wurzeltermen.rb 3
=== Dienstag 7. März 2023 ===
Bestimmen Sie die Funktionsgleichung folgender Potenzfunktion:miniAufgabe("#exofunktionsgraphenablesen4","#solfunktionsgraphenablesen4",
[["
", "$f(x) = x^{-3}$"], ["
", "$f(x) = x^{-2}$"], ["
", "$f(x) = x^{-1}$"], ["
", "$f(x) = x^{-0.5}$"], ["
", "$f(x) = x^{0.5}$"], ["
", "$f(x) = x^{1}$"], ["
", "$f(x) = x^{2}$"], ["
", "$f(x) = x^{3}$"]],
"", "
");
ruby funktionsgraphen-ablesen.rb 4