GeoGebra et la peinture

De nombreuses autres animations ( pages en espagnol)

Le théorème de Viviani

Le théorème: Dans un triangle équilatéral, la somme des distances d'un point intérieur au triangle aux trois côtés est égale à la hauteur du triangle.

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Tiré du site de Manuel Sada Allo. Les fichiers sont téléchargeables en bas de page.

Résolution d'une équation du second degré avec GeoGebra 4

Adresse du grapheur : http://autour-de-geogebra.blogspot.com/2010/10/grapheur.html

Exercice 23: La Sicile

Tutoriels utilisés : 4,5,8,10.

GoogleMaps dispose d'un outil de mesure des distances. Cette fonctionnalité permet de réaliser des calculs métriques sur une carte géographique.

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Votre réponse:

Rappel des relations métriques dans le triangle

Exercice 22 : Le basket

Tutoriels utilisés : 2,4,5,10,11.

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Idée provenant d'ICI

Vidéos stroboscopiques  associées: lancer raté, lancé réussi, demi lancer

Coordonnées du ballon:

`x(t)=V_0cos(alpha)t`
`y(t)=-1/2gt^2 +V_0sin(alpha)t+y_0`

Les différences

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Exercice 21: Module et argument d'un nombre complexe

Tutoriels utilisés: 8,11

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X(M): Y(M):

Module de Z: Argument de Z:

Exercice 20: Barycentre de 3 points et associativité

Tutoriel utilisé: 2

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Grapheur

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Min X = Max X = Min Y = Max Y =

f(x) =

Tutoriel Javascript 8: Conjecturer une fonction dérivée

Déplacez le point $T$ pour afficher la trace du point $Q$ et conjecturez l'expression de la dérivée attendue. Modifiez l'expression de $f$.

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Min X = Max X = Min Y = Max Y =

Abscisse de T:

f(x) = dérivéeattendue(x) =

Très très fortement inspiré de Derivatives and Tangent Lines

Code:

<form name="MyForm">
Min X = <input name="LowXField" size="5" type="text" value="-1" /> Max X = <input name="HighXField" size="5" type="text" value="9" /> Min Y = <input name="LowYField" size="5" type="text" value="-2" /> Max Y = <input name="HighYField" size="5" type="text" value="5" />   <input onclick="setView()" type="button" value="Afficher la fenêtre" /></form>

<form name="TForm" onsubmit="setT('T');  return false;">
Abscisse de T: <input name="setTfield" onchange="setT('T');" size="5" type="text" /></form>

<form name="functionForm" onsubmit="setFunction('T');  return false;">
f(x) = <input name="setFunctionField" onchange="setFunction('T');" size="30" type="text" value="x^2/6-2x+4" /> dérivéeattendue(x) = <input name="setDerivativeField" onchange="setFunction('T');" size="30" type="text" value="x/4" />

<input onclick="setFunction('T');" type="button" value="Afficher f(x) et f'(x) " />
</form>

<script type="text/javascript">

 function setView() {
  var applet = document.ggbApplet;
  var LowX = document.MyForm.LowXField.value;
  var HighX = document.MyForm.HighXField.value;
  var LowY = document.MyForm.LowYField.value;
  var HighY = document.MyForm.HighYField.value;

  applet.setCoordSystem(LowX, HighX, LowY, HighY);
 }

function setT(objName) {
  var applet = document.ggbApplet;
  var x= document.TForm.setTfield.value;
  applet.evalCommand("t2=f("+x+")");
  var y = applet.getValue("t2");
  applet.evalCommand(objName + " = (" + x + ", " + y + ")");
}
function setFunction(objName) {
  var applet = document.ggbApplet;
  var x= document.functionForm.setFunctionField.value;
  applet.evalCommand("f(x)="+x);
  var y= document.functionForm.setDerivativeField.value;
  applet.evalCommand("dérivéeattendue(x)="+y);
}




</script>

Exercice 19 : Le limaçon de Pascal

Tutoriels utilisés : 2,7.

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Tutoriel Javascript 7: Intégrale de Riemann

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X Min = X Max = Y Min = Y Max =


f(x)=


f(x)= Exemples sin(2 x) - 1 / 10 x^2 + 3 2 + cos(x/2) x^2 / 20 ln(x) sqrt(x) cbrx


Paramètres de la somme: a = b = Nombre de rectangles n =




Source : http://webspace.ship.edu/msrenault/tutorial/Tutorial%207%20-%20Incorporating%20JavaScript.html

Code:

<form name="MyForm">
 Min X = <input name="LowXField" size="5" value="-1" type="text">
 Max X = <input name="HighXField" size="5" value="9" type="text">
 Min Y = <input name="LowYField" size="5" value="-2" type="text">
 Max Y = <input name="HighYField" size="5" value="5" type="text">
 <input value="Afficher la fenêtre" onclick="setView()" type="button">

<p>
 
 f(x) = <input name="FunctionField" size="30" value=" "> 
 <input value="Graphique" onclick="setFunction()" type="button">  
 <p>
 
 f(x) = <select name="ExampleSelect"> 
  <option value="">Exemples</option>
  <option value="sin(2 x) - 1 / 10 x^2 + 3">sin(2 x) - 1 / 10 x^2 + 3</option>
  <option value="2 + cos(x/2)">2 + cos(x/2)</option>

<option value="x^2 / 20">x^2 / 20</option>
  <option value="ln(x)">ln(x)</option>
  <option value="sqrt(x)">sqrt(x)</option>
  <option value="cbrt(x)">cbrt(x)</option>
  </select>
 <input value="Charger l'exemple" onclick="exampleLoader()" type="button"> 
 <p>

Paramètres de la somme: a = <input name="A" size="5" value="1" type="text">
     b = <input name="B" size="5" value="7" type="text">
    Nombre de rectangles n = <input name="N" size="5" value="12" type="text">
 <input value="Valider" onclick="setRiemann()" type="button">

</form>


<script type="text/javascript">
 function setView() {
  var applet = document.ggbApplet;
  var LowX = document.MyForm.LowXField.value;
  var HighX = document.MyForm.HighXField.value;
  var LowY = document.MyForm.LowYField.value;
  var HighY = document.MyForm.HighYField.value;

  applet.setCoordSystem(LowX, HighX, LowY, HighY);
 }

 function setFunction() {
  var applet = document.ggbApplet;
  var func = "f(x) = " + document.MyForm.FunctionField.value;
  applet.evalCommand(func);
 }

 function exampleLoader() {
  var func = document.MyForm.ExampleSelect.value;
  if (func != "") {
   document.MyForm.FunctionField.value = func;
   setFunction();
  }
 }
 
 function setRiemann() {
  var applet = document.ggbApplet;
  var a = document.MyForm.A.value
  var b = document.MyForm.B.value
  var n = document.MyForm.N.value
  
  applet.evalCommand("a = " + a);
  applet.evalCommand("b = " + b);
  applet.evalCommand("n = " + n);
 }
 
</script>