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--- lehrkraefte:blc:miniaufgaben:kw35-2017 [2017/09/12 07:59] – Ivo Blöchliger
+++ lehrkraefte:blc:miniaufgaben:kw35-2017 [2020/08/09 13:16] (current) – external edit 127.0.0.1
@@ Line 1: / Line 1: @@
+==== 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:
+<JS>
+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]+"<br>");
+       jQuery(idsol).append((i+1)+"."+ex[selec[i]][1]+"<br>");
+    }
+}
+jQuery = jQuery ? jQuery : $,1
+jQuery(function() {generate(jQuery, "#exos","#sol",
+[["$$\\left(x^{\\frac{4}{3}}: x^{\\frac{9}{5}}\\right)^{-\\frac{24}{7}}$$", "$$x^{\\frac{8}{5}}$$"], ["$$\\left(x^{\\frac{5}{6}}: x^{\\frac{7}{5}}\\right)^{\\frac{75}{34}}$$", "$$x^{-\\frac{5}{4}}$$"], ["$$\\left(x^{-\\frac{7}{6}}\\right)^{\\frac{27}{35}}\\cdot x^{\\frac{3}{2}}$$", "$$x^{\\frac{3}{5}}$$"], ["$$\\left(x^{\\frac{3}{2}}\\right)^{\\frac{26}{9}}: x^{\\frac{7}{2}}$$", "$$x^{\\frac{5}{6}}$$"], ["$$\\left(x^{\\frac{7}{5}}\\cdot x^{\\frac{4}{3}}\\right)^{-\\frac{12}{41}}$$", "$$x^{-\\frac{4}{5}}$$"], ["$$\\left(x^{-\\frac{7}{6}}\\right)^{\\frac{2}{5}}\\cdot x^{\\frac{4}{5}}$$", "$$x^{\\frac{1}{3}}$$"], ["$$\\left(x^{\\frac{2}{3}}: x^{\\frac{7}{4}}\\right)^{-\\frac{42}{13}}$$", "$$x^{\\frac{7}{2}}$$"], ["$$\\left(x^{\\frac{8}{5}}\\right)^{\\frac{45}{32}}: x^{\\frac{3}{2}}$$", "$$x^{\\frac{3}{4}}$$"], ["$$\\left(x^{\\frac{7}{2}}\\cdot x^{\\frac{6}{5}}\\right)^{-\\frac{12}{47}}$$", "$$x^{-\\frac{6}{5}}$$"], ["$$\\left(x^{\\frac{3}{2}}: x^{\\frac{9}{5}}\\right)^{-\\frac{14}{3}}$$", "$$x^{\\frac{7}{5}}$$"], ["$$\\left(x^{\\frac{7}{4}}\\right)^{\\frac{18}{35}}\\cdot x^{\\frac{8}{5}}$$", "$$x^{\\frac{5}{2}}$$"], ["$$\\left(x^{-\\frac{8}{3}}\\right)^{-\\frac{43}{32}}: x^{\\frac{4}{3}}$$", "$$x^{\\frac{9}{4}}$$"], ["$$\\left(x^{\\frac{5}{6}}: x^{\\frac{9}{2}}\\right)^{\\frac{5}{11}}$$", "$$x^{-\\frac{5}{3}}$$"], ["$$\\left(x^{\\frac{3}{2}}\\right)^{\\frac{13}{9}}: x^{\\frac{2}{3}}$$", "$$x^{\\frac{3}{2}}$$"], ["$$\\left(x^{\\frac{8}{5}}\\right)^{-\\frac{95}{48}}\\cdot x^{\\frac{9}{2}}$$", "$$x^{\\frac{4}{3}}$$"]]
+);});
+</JS>
+<HTML>
+<div id="exos"></div>
+</HTML>
+<hidden Lösungen>
+<HTML>
+<div id="sol"></div>
+</HTML>
+</hidden>
+=== 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.
+<JS>
+jQuery(function() {generate(jQuery, "#exos2","#sol2",
+[["<tt>a+b</tt>","<tt>{13,24,35}</tt>"],
+ ["<tt>$\\frac{1}{2}$+a</tt>", "<tt>{$\\frac{7}{2}$, $\\frac{9}{2}$, $\\frac{11}{2}$}</tt>"],
+ ["<tt>f(a)</tt>", "<tt>{8,15,24}</tt>"],
+ ["<tt>g(b)</tt>", "<tt>{15,35,55}</tt>"],
+ ["<tt>a/b</tt>", "<tt>{$\\frac{3}{10}$, $\\frac{1}{5}$, $\\frac{1}{6}$}</tt>"],
+ ["<tt>solve(f(x)=3,x)</tt>", "<tt>x=-2 or x=2</tt>"],
+ ["<tt>solve(g(x)=3,x)</tt>", "<tt>x=4</tt>"],
+ ["<tt>a*b</tt>", "<tt>{30,80,150}</tt>"],
+ ["<tt>zeros(g(x),x)</tt>", "<tt>{$\\frac{5}{2}$}</tt>"],
+ ["<tt>zeros(f(x),x)</tt>", "<tt>{-1,1}</tt>"],
+]
+);});
+</JS>
+<HTML>
+<div id="exos2"></div>
+</HTML>
+<hidden Lösungen>
+<HTML>
+<div id="sol2"></div>
+</HTML>
+</hidden>