lehrkraefte:blc:miniaufgaben:kw24-2022 [https://fginfo.ksbg.ch Fachgruppe Informatik der KSBG]

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<PRELOAD>
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</PRELOAD>



==== 13. Juni 2022 bis 17. Juni 2022 ====
=== Donnerstag 16. Juni 2022 ===
Ausrechnen, kürzen.<JS>miniAufgabe("#exobruchsummehochminusmalbruch","#solbruchsummehochminusmalbruch",
[["$\\displaystyle \\left(-\\frac{6}{5}+\\frac{3}{4}\\right)^{-1} \\cdot \\frac{3}{2}$", "$\\displaystyle \\left(-\\frac{6}{5}+\\frac{3}{4}\\right)^{-1} \\cdot \\frac{3}{2} = \\left(-\\frac{9}{20}\\right)^{-1} \\cdot \\frac{3}{2} = -\\frac{20}{9} \\cdot \\frac{3}{2} = -\\frac{10}{3}$"], ["$\\displaystyle \\left(\\frac{5}{2}-\\frac{5}{8}\\right)^{-1} \\cdot \\frac{3}{4}$", "$\\displaystyle \\left(\\frac{5}{2}-\\frac{5}{8}\\right)^{-1} \\cdot \\frac{3}{4} = \\left(\\frac{15}{8}\\right)^{-1} \\cdot \\frac{3}{4} = \\frac{8}{15} \\cdot \\frac{3}{4} = \\frac{2}{5}$"], ["$\\displaystyle \\left(\\frac{3}{2}-\\frac{2}{3}\\right)^{-1} \\cdot \\frac{4}{3}$", "$\\displaystyle \\left(\\frac{3}{2}-\\frac{2}{3}\\right)^{-1} \\cdot \\frac{4}{3} = \\left(\\frac{5}{6}\\right)^{-1} \\cdot \\frac{4}{3} = \\frac{6}{5} \\cdot \\frac{4}{3} = \\frac{8}{5}$"], ["$\\displaystyle \\left(\\frac{3}{2}-\\frac{2}{3}\\right)^{-1} \\cdot \\frac{3}{4}$", "$\\displaystyle \\left(\\frac{3}{2}-\\frac{2}{3}\\right)^{-1} \\cdot \\frac{3}{4} = \\left(\\frac{5}{6}\\right)^{-1} \\cdot \\frac{3}{4} = \\frac{6}{5} \\cdot \\frac{3}{4} = \\frac{9}{10}$"], ["$\\displaystyle \\left(\\frac{3}{2}-\\frac{3}{7}\\right)^{-1} \\cdot \\frac{3}{7}$", "$\\displaystyle \\left(\\frac{3}{2}-\\frac{3}{7}\\right)^{-1} \\cdot \\frac{3}{7} = \\left(\\frac{15}{14}\\right)^{-1} \\cdot \\frac{3}{7} = \\frac{14}{15} \\cdot \\frac{3}{7} = \\frac{2}{5}$"], ["$\\displaystyle \\left(\\frac{6}{5}-\\frac{3}{4}\\right)^{-1} \\cdot \\frac{3}{4}$", "$\\displaystyle \\left(\\frac{6}{5}-\\frac{3}{4}\\right)^{-1} \\cdot \\frac{3}{4} = \\left(\\frac{9}{20}\\right)^{-1} \\cdot \\frac{3}{4} = \\frac{20}{9} \\cdot \\frac{3}{4} = \\frac{5}{3}$"], ["$\\displaystyle \\left(-\\frac{3}{4}+\\frac{4}{3}\\right)^{-1} \\cdot \\frac{2}{3}$", "$\\displaystyle \\left(-\\frac{3}{4}+\\frac{4}{3}\\right)^{-1} \\cdot \\frac{2}{3} = \\left(\\frac{7}{12}\\right)^{-1} \\cdot \\frac{2}{3} = \\frac{12}{7} \\cdot \\frac{2}{3} = \\frac{8}{7}$"], ["$\\displaystyle \\left(-\\frac{3}{5}+\\frac{3}{2}\\right)^{-1} \\cdot \\frac{3}{4}$", "$\\displaystyle \\left(-\\frac{3}{5}+\\frac{3}{2}\\right)^{-1} \\cdot \\frac{3}{4} = \\left(\\frac{9}{10}\\right)^{-1} \\cdot \\frac{3}{4} = \\frac{10}{9} \\cdot \\frac{3}{4} = \\frac{5}{6}$"], ["$\\displaystyle \\left(\\frac{3}{7}-\\frac{3}{2}\\right)^{-1} \\cdot \\frac{5}{4}$", "$\\displaystyle \\left(\\frac{3}{7}-\\frac{3}{2}\\right)^{-1} \\cdot \\frac{5}{4} = \\left(-\\frac{15}{14}\\right)^{-1} \\cdot \\frac{5}{4} = -\\frac{14}{15} \\cdot \\frac{5}{4} = -\\frac{7}{6}$"], ["$\\displaystyle \\left(-\\frac{5}{8}+\\frac{5}{2}\\right)^{-1} \\cdot \\frac{5}{3}$", "$\\displaystyle \\left(-\\frac{5}{8}+\\frac{5}{2}\\right)^{-1} \\cdot \\frac{5}{3} = \\left(\\frac{15}{8}\\right)^{-1} \\cdot \\frac{5}{3} = \\frac{8}{15} \\cdot \\frac{5}{3} = \\frac{8}{9}$"]],
" <hr> ", " <hr> ");
</JS>
<HTML>
<div id="exobruchsummehochminusmalbruch"></div>

</HTML>
<hidden Lösungen>
<HTML>
<div id="solbruchsummehochminusmalbruch"></div>
<div style='font-size:12px;color:gray;'>ruby bruchterme-vereinfachen.rb 2</div>
</HTML>

</hidden>

=== Freitag 17. Juni 2022 ===
Zeichnen Sie den Graphen der Funktion $f$ in einem sinnvollen Bereich. Beschriften Sie die Achsen!<JS>miniAufgabe("#exofunktionsgraphenzeichnen1","#solfunktionsgraphenzeichnen1",
[["$f(x)=(x-2)^2$", "$f(x)=(x-2)^2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen10' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen10\",\"width\":264,\"height\":198,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-4,4]},\"yAxis\":{\"domain\":[-1,5]},\"data\":[{\"fn\":\"(x-2)^2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=x^2-2$", "$f(x)=x^2-2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen11' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen11\",\"width\":300,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-3,3]},\"yAxis\":{\"domain\":[-2,2]},\"data\":[{\"fn\":\"x^2-2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=\\sqrt{x-2}$", "$f(x)=\\sqrt{x-2}$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen12' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen12\",\"width\":264,\"height\":198,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-2,6]},\"yAxis\":{\"domain\":[-1,5]},\"data\":[{\"fn\":\"sqrt(x-2)\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=\\sqrt{x}-2$", "$f(x)=\\sqrt{x}-2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen13' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen13\",\"width\":231,\"height\":198,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-1,6]},\"yAxis\":{\"domain\":[-2,4]},\"data\":[{\"fn\":\"sqrt(x)-2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=|x-2|$", "$f(x)=|x-2|$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen14' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen14\",\"width\":320,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-4,4]},\"yAxis\":{\"domain\":[-1,4]},\"data\":[{\"fn\":\"abs(x-2)\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=|x|-2$", "$f(x)=|x|-2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen15' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen15\",\"width\":264,\"height\":198,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-2,2]},\"yAxis\":{\"domain\":[-2,1]},\"data\":[{\"fn\":\"abs(x)-2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=x-2$", "$f(x)=x-2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen16' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen16\",\"width\":200,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-4,4]},\"yAxis\":{\"domain\":[-6,2]},\"data\":[{\"fn\":\"x-2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=(x-1)^2$", "$f(x)=(x-1)^2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen17' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen17\",\"width\":264,\"height\":198,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-4,4]},\"yAxis\":{\"domain\":[-1,5]},\"data\":[{\"fn\":\"(x-1)^2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=x^2-1$", "$f(x)=x^2-1$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen18' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen18\",\"width\":300,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-3,3]},\"yAxis\":{\"domain\":[-1,3]},\"data\":[{\"fn\":\"x^2-1\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=\\sqrt{x-1}$", "$f(x)=\\sqrt{x-1}$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen19' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen19\",\"width\":264,\"height\":198,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-2,6]},\"yAxis\":{\"domain\":[-1,5]},\"data\":[{\"fn\":\"sqrt(x-1)\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=\\sqrt{x}-1$", "$f(x)=\\sqrt{x}-1$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen110' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen110\",\"width\":280,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-1,6]},\"yAxis\":{\"domain\":[-1,4]},\"data\":[{\"fn\":\"sqrt(x)-1\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=|x-1|$", "$f(x)=|x-1|$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen111' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen111\",\"width\":320,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-4,4]},\"yAxis\":{\"domain\":[-1,4]},\"data\":[{\"fn\":\"abs(x-1)\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=|x|-1$", "$f(x)=|x|-1$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen112' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen112\",\"width\":264,\"height\":198,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-2,2]},\"yAxis\":{\"domain\":[-1,2]},\"data\":[{\"fn\":\"abs(x)-1\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=x-1$", "$f(x)=x-1$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen113' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen113\",\"width\":200,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-4,4]},\"yAxis\":{\"domain\":[-5,3]},\"data\":[{\"fn\":\"x-1\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=(x+1)^2$", "$f(x)=(x+1)^2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen114' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen114\",\"width\":264,\"height\":198,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-4,4]},\"yAxis\":{\"domain\":[-1,5]},\"data\":[{\"fn\":\"(x+1)^2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=x^2+1$", "$f(x)=x^2+1$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen115' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen115\",\"width\":198,\"height\":198,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-3,3]},\"yAxis\":{\"domain\":[-1,5]},\"data\":[{\"fn\":\"x^2+1\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=\\sqrt{x+1}$", "$f(x)=\\sqrt{x+1}$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen116' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen116\",\"width\":264,\"height\":198,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-2,6]},\"yAxis\":{\"domain\":[-1,5]},\"data\":[{\"fn\":\"sqrt(x+1)\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=\\sqrt{x}+1$", "$f(x)=\\sqrt{x}+1$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen117' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen117\",\"width\":280,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-1,6]},\"yAxis\":{\"domain\":[-1,4]},\"data\":[{\"fn\":\"sqrt(x)+1\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=|x+1|$", "$f(x)=|x+1|$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen118' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen118\",\"width\":320,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-4,4]},\"yAxis\":{\"domain\":[-1,4]},\"data\":[{\"fn\":\"abs(x+1)\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=|x|+1$", "$f(x)=|x|+1$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen119' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen119\",\"width\":160,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-2,2]},\"yAxis\":{\"domain\":[-1,4]},\"data\":[{\"fn\":\"abs(x)+1\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=x+1$", "$f(x)=x+1$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen120' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen120\",\"width\":200,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-4,4]},\"yAxis\":{\"domain\":[-3,5]},\"data\":[{\"fn\":\"x+1\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=(x+2)^2$", "$f(x)=(x+2)^2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen121' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen121\",\"width\":264,\"height\":198,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-4,4]},\"yAxis\":{\"domain\":[-1,5]},\"data\":[{\"fn\":\"(x+2)^2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=x^2+2$", "$f(x)=x^2+2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen122' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen122\",\"width\":168,\"height\":196,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-3,3]},\"yAxis\":{\"domain\":[-1,6]},\"data\":[{\"fn\":\"x^2+2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=\\sqrt{x+2}$", "$f(x)=\\sqrt{x+2}$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen123' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen123\",\"width\":264,\"height\":198,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-2,6]},\"yAxis\":{\"domain\":[-1,5]},\"data\":[{\"fn\":\"sqrt(x+2)\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=\\sqrt{x}+2$", "$f(x)=\\sqrt{x}+2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen124' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen124\",\"width\":280,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-1,6]},\"yAxis\":{\"domain\":[-1,4]},\"data\":[{\"fn\":\"sqrt(x)+2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=|x+2|$", "$f(x)=|x+2|$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen125' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen125\",\"width\":320,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-4,4]},\"yAxis\":{\"domain\":[-1,4]},\"data\":[{\"fn\":\"abs(x+2)\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=|x|+2$", "$f(x)=|x|+2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen126' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen126\",\"width\":132,\"height\":198,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-2,2]},\"yAxis\":{\"domain\":[-1,5]},\"data\":[{\"fn\":\"abs(x)+2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=x+2$", "$f(x)=x+2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen127' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen127\",\"width\":200,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-4,4]},\"yAxis\":{\"domain\":[-2,6]},\"data\":[{\"fn\":\"x+2\",\"stroke-width\":\"2px\"}]}'></span>"]],
" <hr> ", " <hr> ");
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<div id="exofunktionsgraphenzeichnen1"></div>

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<hidden Lösungen>
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<div id="solfunktionsgraphenzeichnen1"></div>
<div style='font-size:12px;color:gray;'>ruby funktionsgraphen-zeichnen.rb 1</div>
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</hidden>