==== 28. August 2017 bis 1. September 2017 ====
=== Dienstag 29. August 2017 und Donnerstag 31. August 2017 ===
**Achtung**: dynamische Aufgabe. //Naja, so dynamisch auch nicht, aus 15 Aufgaben werden zufällig 3 ausgewählt.//
Vereinfachen Sie:
function generate(jQuery, idex, idsol, ex) {
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]+"
");
jQuery(idsol).append((i+1)+"."+ex[selec[i]][1]+"
");
}
}
jQuery = jQuery ? jQuery : $,1
jQuery(function() {generate(jQuery, "#exos","#sol",
[["$$\\left(x^{\\frac{4}{3}}: x^{\\frac{9}{5}}\\right)^{-\\frac{24}{7}}$$", "$$x^{\\frac{8}{5}}$$"], ["$$\\left(x^{\\frac{5}{6}}: x^{\\frac{7}{5}}\\right)^{\\frac{75}{34}}$$", "$$x^{-\\frac{5}{4}}$$"], ["$$\\left(x^{-\\frac{7}{6}}\\right)^{\\frac{27}{35}}\\cdot x^{\\frac{3}{2}}$$", "$$x^{\\frac{3}{5}}$$"], ["$$\\left(x^{\\frac{3}{2}}\\right)^{\\frac{26}{9}}: x^{\\frac{7}{2}}$$", "$$x^{\\frac{5}{6}}$$"], ["$$\\left(x^{\\frac{7}{5}}\\cdot x^{\\frac{4}{3}}\\right)^{-\\frac{12}{41}}$$", "$$x^{-\\frac{4}{5}}$$"], ["$$\\left(x^{-\\frac{7}{6}}\\right)^{\\frac{2}{5}}\\cdot x^{\\frac{4}{5}}$$", "$$x^{\\frac{1}{3}}$$"], ["$$\\left(x^{\\frac{2}{3}}: x^{\\frac{7}{4}}\\right)^{-\\frac{42}{13}}$$", "$$x^{\\frac{7}{2}}$$"], ["$$\\left(x^{\\frac{8}{5}}\\right)^{\\frac{45}{32}}: x^{\\frac{3}{2}}$$", "$$x^{\\frac{3}{4}}$$"], ["$$\\left(x^{\\frac{7}{2}}\\cdot x^{\\frac{6}{5}}\\right)^{-\\frac{12}{47}}$$", "$$x^{-\\frac{6}{5}}$$"], ["$$\\left(x^{\\frac{3}{2}}: x^{\\frac{9}{5}}\\right)^{-\\frac{14}{3}}$$", "$$x^{\\frac{7}{5}}$$"], ["$$\\left(x^{\\frac{7}{4}}\\right)^{\\frac{18}{35}}\\cdot x^{\\frac{8}{5}}$$", "$$x^{\\frac{5}{2}}$$"], ["$$\\left(x^{-\\frac{8}{3}}\\right)^{-\\frac{43}{32}}: x^{\\frac{4}{3}}$$", "$$x^{\\frac{9}{4}}$$"], ["$$\\left(x^{\\frac{5}{6}}: x^{\\frac{9}{2}}\\right)^{\\frac{5}{11}}$$", "$$x^{-\\frac{5}{3}}$$"], ["$$\\left(x^{\\frac{3}{2}}\\right)^{\\frac{13}{9}}: x^{\\frac{2}{3}}$$", "$$x^{\\frac{3}{2}}$$"], ["$$\\left(x^{\\frac{8}{5}}\\right)^{-\\frac{95}{48}}\\cdot x^{\\frac{9}{2}}$$", "$$x^{\\frac{4}{3}}$$"]]
);});
=== Freitag 1. September 2017 ===
Auf dem TR werden alle Variablen gelöscht und dann folgende Eingaben getätigt:
{3,4,5}$\rightarrow$a
{10,20,30}$\rightarrow$b
$x^2-1\rightarrow$ f(x)
$2x-5 \rightarrow$ g(x)
Welche Ausgabe produziert der TR dann bei folgenden Eingaben? **Achtung**: Halbdynamische Aufgabe.
jQuery(function() {generate(jQuery, "#exos2","#sol2",
[["a+b","{13,24,35}"],
["$\\frac{1}{2}$+a", "{$\\frac{7}{2}$, $\\frac{9}{2}$, $\\frac{11}{2}$}"],
["f(a)", "{8,15,24}"],
["g(b)", "{15,35,55}"],
["a/b", "{$\\frac{3}{10}$, $\\frac{1}{5}$, $\\frac{1}{6}$}"],
["solve(f(x)=3,x)", "x=-2 or x=2"],
["solve(g(x)=3,x)", "x=4"],
["a*b", "{30,80,150}"],
["zeros(g(x),x)", "{$\\frac{5}{2}$}"],
["zeros(f(x),x)", "{-1,1}"],
]
);});