==== 4. September 2017 bis 8. September 2017 ====
=== Dienstag 5. September 2017 und Donnerstag 7. September 2017 ===
Lösen Sie schrittweise von Hand auf. **Achtung** Halbdynamische Aufgabe (zufällig aus 10 Aufgaben).
function generate(jQuery, idex, idsol, ex, sep="
") {
var drei=function(n) {
var one = Math.floor(Math.random()*(n-2));
var two = Math.floor(Math.random()*(n-2));
if (one>two) {
var h = one;
one = two;
two = h;
}
var three = Math.floor(Math.random()*(n-2));
if (two>=one) {
two++;
}
if (three>=one) {
three++;
}
if (three>=two) {
three++;
}
return [one,two,three];
};
var selec=drei(ex.length);
//console.log(selec);
for (var i=0; i<3; i++) {
//console.log(selec[i]);
jQuery(idex).append((i+1)+". "+ex[selec[i]][0]+sep);
jQuery(idsol).append((i+1)+". "+ex[selec[i]][1]+"
");
}
}
jQuery(function() {generate(jQuery, "#exos3","#sol3",
[["${{7x}\\over{6}}+{{4}\\over{3}}={{3x}\\over{4}}+{{5}\\over{3}}$", "$\\begin{align*}{{7x}\\over{6}}+{{4}\\over{3}} &= {{3x}\\over{4}}+{{5}\\over{3}} && |\\cdot 12\\\\\n14x+16 &= 9x+20 && |-\\left(9x+16\\right)\\\\\n5x &= 4 && |:5\\\\\nx &= {{4}\\over{5}}\n\\end{align*}$"], ["${{13x}\\over{8}}+{{3}\\over{8}}={{7x}\\over{5}}+{{39}\\over{40}}$", "$\\begin{align*}{{13x}\\over{8}}+{{3}\\over{8}} &= {{7x}\\over{5}}+{{39}\\over{40}} && |\\cdot 40\\\\\n65x+15 &= 56x+39 && |-\\left(56x+15\\right)\\\\\n9x &= 24 && |:9\\\\\nx &= {{8}\\over{3}}\n\\end{align*}$"], ["${{39x}\\over{40}}+{{5}\\over{8}}={{7x}\\over{8}}+{{4}\\over{5}}$", "$\\begin{align*}{{39x}\\over{40}}+{{5}\\over{8}} &= {{7x}\\over{8}}+{{4}\\over{5}} && |\\cdot 40\\\\\n39x+25 &= 35x+32 && |-\\left(35x+25\\right)\\\\\n4x &= 7 && |:4\\\\\nx &= {{7}\\over{4}}\n\\end{align*}$"], ["${{51x}\\over{56}}+{{7}\\over{8}}={{3x}\\over{4}}+{{27}\\over{28}}$", "$\\begin{align*}{{51x}\\over{56}}+{{7}\\over{8}} &= {{3x}\\over{4}}+{{27}\\over{28}} && |\\cdot 56\\\\\n51x+49 &= 42x+54 && |-\\left(42x+49\\right)\\\\\n9x &= 5 && |:9\\\\\nx &= {{5}\\over{9}}\n\\end{align*}$"], ["${{11x}\\over{4}}+{{5}\\over{6}}={{7x}\\over{3}}+{{13}\\over{12}}$", "$\\begin{align*}{{11x}\\over{4}}+{{5}\\over{6}} &= {{7x}\\over{3}}+{{13}\\over{12}} && |\\cdot 12\\\\\n33x+10 &= 28x+13 && |-\\left(28x+10\\right)\\\\\n5x &= 3 && |:5\\\\\nx &= {{3}\\over{5}}\n\\end{align*}$"], ["${{19x}\\over{12}}+{{8}\\over{3}}={{5x}\\over{4}}+{{35}\\over{12}}$", "$\\begin{align*}{{19x}\\over{12}}+{{8}\\over{3}} &= {{5x}\\over{4}}+{{35}\\over{12}} && |\\cdot 12\\\\\n19x+32 &= 15x+35 && |-\\left(15x+32\\right)\\\\\n4x &= 3 && |:4\\\\\nx &= {{3}\\over{4}}\n\\end{align*}$"], ["${{15x}\\over{14}}+{{6}\\over{7}}={{3x}\\over{4}}+{{8}\\over{7}}$", "$\\begin{align*}{{15x}\\over{14}}+{{6}\\over{7}} &= {{3x}\\over{4}}+{{8}\\over{7}} && |\\cdot 28\\\\\n30x+24 &= 21x+32 && |-\\left(21x+24\\right)\\\\\n9x &= 8 && |:9\\\\\nx &= {{8}\\over{9}}\n\\end{align*}$"], ["${{22x}\\over{9}}+{{8}\\over{3}}={{5x}\\over{3}}+3$", "$\\begin{align*}{{22x}\\over{9}}+{{8}\\over{3}} &= {{5x}\\over{3}}+3 && |\\cdot 9\\\\\n22x+24 &= 15x+27 && |-\\left(15x+24\\right)\\\\\n7x &= 3 && |:7\\\\\nx &= {{3}\\over{7}}\n\\end{align*}$"], ["${{29x}\\over{14}}+{{5}\\over{7}}={{7x}\\over{4}}+{{8}\\over{7}}$", "$\\begin{align*}{{29x}\\over{14}}+{{5}\\over{7}} &= {{7x}\\over{4}}+{{8}\\over{7}} && |\\cdot 28\\\\\n58x+20 &= 49x+32 && |-\\left(49x+20\\right)\\\\\n9x &= 12 && |:9\\\\\nx &= {{4}\\over{3}}\n\\end{align*}$"], ["$x+{{5}\\over{9}}={{3x}\\over{4}}+{{11}\\over{9}}$", "$\\begin{align*}x+{{5}\\over{9}} &= {{3x}\\over{4}}+{{11}\\over{9}} && |\\cdot 36\\\\\n36x+20 &= 27x+44 && |-\\left(27x+20\\right)\\\\\n9x &= 24 && |:9\\\\\nx &= {{8}\\over{3}}\n\\end{align*}$"]]
);});
=== Freitag 8. September 2017 ===
Prüfung, keine Miniaufgabe.