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</style> <style type="text/css" media="print"> @import url(inc/print.css); </style> <link type="text/css" rel="stylesheet" href="inc/csshead/fotorama.css"> <link type="text/css" rel="stylesheet" href="inc/csshead/menubox.css"> <link type="text/css" rel="stylesheet" href="inc/csshead/slidesjs.css"> <script type="text/javascript"> //<![CDATA[ <!-- var charset = "UTF-8"; var site0 = "Casyopée"; var site3 = "https://casyopee.math.univ-paris-diderot.fr/"; var sValue = screen.width + "||" + screen.height + "||" + screen.availWidth + "||" + screen.availHeight; var today = new Date(), expires = new Date(); expires.setTime(today.getTime() + (365*24*60*60*1000)); document.cookie = "GuppYScreen" + "=" + encodeURIComponent(sValue) + ";expires=" + expires.toGMTString(); //--> //]]> </script> <script type="text/javascript" src="inc/hpage.js"></script> <script type="text/javascript" src="inc/jquery-min.js"></script> <script type="text/javascript" src="inc/jquery-migrate-min.js"></script> <script type="text/javascript" src="inc/jqscript.js"></script> <script type="text/javascript" src="inc/jshead/boxmenu_toggle.js"></script> <script type="text/javascript" src="inc/jshead/fotorama.js"></script> <script type="text/javascript" src="inc/jshead/jquery.imagecube.min.js"></script> <script type="text/javascript" src="inc/jshead/sidephoto.js"></script> <script type="text/javascript" src="inc/jshead/slides.min.jquery.js"></script> <script type="text/javascript" src="inc/jshead/slidesjs.js"></script> </head><body> <h1> Utilisation du menu Justifier</h1> <p style="margin-left: 24pt;"><a href="pg91.htm#_Toc364184536"><em>Trouver des sous-expressions</em></a></p> <p style="margin-left: 24pt;"><a href="pg91.htm#_Toc364184537"><em>Déterminer le signe d une fonction affine</em></a></p> <p style="margin-left: 24pt;"><a href="pg91.htm#_Toc364184538"><em>Déterminer les variations d une fonction affine</em></a></p> <p style="margin-left: 24pt;"><a href="pg91.htm#_Toc364184539"><em>Justifier le signe à partir des variations</em></a></p> <p style="margin-left: 24pt;"><a href="pg91.htm#_Toc364184540"><em>Déterminer le signe d un produit</em></a></p> <p>Nous prenons l'exemple d'un produit de fonctions affines.</p> <p><span style="">Deux méthodes pour déterminer le signe d une expression affine seront utilisées&nbsp;:<o:p></o:p></span></p> <ul style="margin-top: 0cm;" type="disc"> <li class="MsoNormal" style=""><span style="line-height: 115%;">l une utilise un résultat sur le signe des expressions affines (méthode 1),<o:p></o:p></span></li> <li class="MsoNormal" style=""><span style="line-height: 115%;">l autre utilise le sens de variation d une fonction affine (méthode 2).<o:p></o:p></span></li> </ul> <p class="MsoNormal"><span style="line-height: 115%;">La conclusion utilise la règle des signes pour un produit ou un quotient.<o:p></o:p></span></p> <h3><a name="_Toc364184536"><span style="font-family: &quot;Times New Roman&quot;;">Trouver des sous-expressions</span></a><span><o:p></o:p></span></h3> <p class="MsoNormal"><span style="">Entrez la fonction <i style="">f</i> (il est important de cocher <span style="background: silver none repeat scroll 0% 50%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;">Vérification Existence</span>). <o:p></o:p></span></p> <p class="MsoNormal" style="page-break-after: avoid;"><span style="line-height: 115%;"><!--[if gte vml 1]><v:shape id="_x0000_i1119" type="#_x0000_t75" style='width:411.75pt;height:117.75pt'> <v:imagedata src="/help/imgFrHelp/image165.png" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image166.jpg" v:shapes="_x0000_i1119" height="157" width="549"><!--[endif]--></span></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193820">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193820'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193820'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>62</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193820'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : entrée fonction sans domaine</span><span style="line-height: 115%;"><o:p></o:p></span></p> <p class="MsoNormal">Dans la <i style="">liste des expressions</i>, cliquez sur l expression de <i style="">f</i>. <span style="line-height: 115%;">Cliquez sur le bouton <b style="">Calculer</b>, dans le menu contextuel qui apparaît choisissez <b>Sous-expressions</b>. Une <i style="">boite</i> apparaît avec la liste des sous expressions <o:p></o:p></span></p> <p class="MsoNormal" style="text-align: center;" align="center"><!--[if gte vml 1]><v:shape id="_x0000_i1120" type="#_x0000_t75" style='width:206.25pt;height:99pt'> <v:imagedata src="/help/imgFrHelp/image167.jpg" o:title="sous_expressions_fenetre"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image168.jpg" v:shapes="_x0000_i1120" height="132" width="275"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193821">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193821'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193821'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>63</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193821'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Liste des sous-expressions</span></p> <p class="MsoNormal"><span style="line-height: 115%;">La sélection dans la liste des sous expressions<span style="">&nbsp; </span>s effectue comme dans une fenêtre de Windows<sup>TM</sup> explorer&nbsp;: En restant appuyé sur «&nbsp;ctrl&nbsp;» cliquez ou non sur les sous expressions<o:p></o:p></span></p> <p class="MsoNormal"><!--[if gte vml 1]><v:shapetype id="_x0000_t68" coordsize="21600,21600" o:spt="68" adj="5400,5400" path="m0@0l@1@0@1,21600@2,21600@2@0,21600@0,10800,xe"> <v:stroke joinstyle="miter"/> <v:formulas> <v:f eqn="val #0"/> <v:f eqn="val #1"/> <v:f eqn="sum 21600 0 #1"/> <v:f eqn="prod #0 #1 10800"/> <v:f eqn="sum #0 0 @3"/> </v:formulas> <v:path o:connecttype="custom" o:connectlocs="10800,0;0,@0;10800,21600;21600,@0" o:connectangles="270,180,90,0" textboxrect="@1,@4,@2,21600"/> <v:handles> <v:h position="#1,#0" xrange="0,10800" yrange="0,21600"/> </v:handles> </v:shapetype><v:shape id="_x0000_s1053" type="#_x0000_t68" style='position:absolute; left:0;text-align:left;margin-left:187pt;margin-top:-9pt;width:13.5pt; height:22.5pt;z-index:2' adj="5247,6262"> <v:textbox style='layout-flow:vertical-ideographic'/> </v:shape><![endif]--><!--[if !vml]--><span style="position: relative; z-index: 2;"><span style="left: 247px; top: -14px; width: 23px; height: 33px; position: absolute;"><img src="/help/imgFrHelp/image169.gif" v:shapes="_x0000_s1053" height="33" width="23"></span></span><!-- [endif]--><span style="line-height: 115%;">En restant appuyé sur «&nbsp;Shift&nbsp;» ou<span style="">&nbsp; </span>sur<span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>, cliquez sur la première expression puis sur la dernière que vous voulez sélectionner&nbsp;; le bouton <b style="">Tout</b> permet de les sélectionner toutes. <o:p></o:p></span></p> <p class="MsoNormal"><span style="">Dans cet exemple choisissez <b style="">Tout</b>, puis validez avec <b style="">OK</b>. La <i style="">liste des expressions</i> et celle des <i style="">fonctions</i> sont ainsi complétées et les nouvelles expressions (respectivement fonctions) sont nommées <i style="">f<sub>0</sub></i> et <i>f<sub>1</sub></i>. <o:p></o:p></span></p> <p class="MsoNormal" style="text-align: center;" align="center"><span style="line-height: 115%;"><!--[if gte vml 1]><v:shape id="Image_x0020_52" o:spid="_x0000_i1121" type="#_x0000_t75" style='width:159.75pt; height:121.5pt;visibility:visible'> <v:imagedata src="/help/imgFrHelp/image170.gif" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image170.gif" v:shapes="Image_x0020_52" height="162" width="213"><!--[endif]--><span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><!--[if gte vml 1]><v:shape id="Image_x0020_46" o:spid="_x0000_i1122" type="#_x0000_t75" style='width:144.75pt; height:73.5pt;visibility:visible'> <v:imagedata src="/help/imgFrHelp/image171.gif" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image171.gif" v:shapes="Image_x0020_46" height="98" width="193"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193822">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193822'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193822'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>64</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193822'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Sous-expressions (listes des fonctions)<span style="">&nbsp;&nbsp;&nbsp;&nbsp; </span>Figure </span><!--[if supportFields]><span style='mso-bookmark:_Toc364193822'></span><span style='mso-element:field- begin'></span><span style='mso-bookmark:_Toc364193822'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>65</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193822'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Sous-expressions (listes des expressions)</span></p> <p class="MsoNormal">Si la fenêtre des fonctions n est pas visible, faites la apparaître avec <b style="">Options Fenêtres.<o:p></o:p></b></p> <p class="MsoNormal" style="text-align: center;" align="center"><b style=""><!--[if gte vml 1]><v:shape id="_x0000_i1123" type="#_x0000_t75" style='width:419.25pt;height:231pt'> <v:imagedata src="/help/imgFrHelp/image172.png" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image173.jpg" v:shapes="_x0000_i1123" height="308" width="559"><!--[endif]--></b></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193823">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193823'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193823'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>66</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193823'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : menu <span style="">&nbsp;</span>Options Fenêtres</span><span style="font-weight: normal;"><o:p></o:p></span></p> <h3><a name="_Toc364184537"><span>Déterminer le signe d une fonction affine</span></a><span> <o:p></o:p></span></h3> <p class="MsoNormal"><span style="">Dans la <i style="">liste des fonctions</i>, mettez en surbrillance <i style="">f<sub>1</sub></i> comme ci-dessus. Dans le menu <b style="">Justifier</b> choisissez <b style="">Signe : affine</b>. Une <i style="">boîte de dialogue</i> apparaît&nbsp;:<o:p></o:p></span></p> <p class="MsoNormal" style="text-align: center;" align="center"><span style="line-height: 115%;"><!--[if gte vml 1]><v:shape id="_x0000_i1124" type="#_x0000_t75" style='width:240.75pt;height:110.25pt'> <v:imagedata src="/help/imgFrHelp/image174.jpg" o:title="affine_fenetre"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image175.jpg" v:shapes="_x0000_i1124" height="147" width="321"><!--[endif]--></span></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193824">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193824'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193824'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>67</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193824'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Boîte "Signe<span> : affine"</span></span><span style="line-height: 115%;"><o:p></o:p></span></p> <p class="MsoNormal"><span style="">Renseignez le <i style="">Coeff. de x</i> (coefficient directeur) et <i style="">s annule en</i> (le zéro) puis, cliquez sur le bouton <b style="">Evaluer</b>. <o:p></o:p></span></p> <p class="MsoNormal" style="text-align: center;" align="center"><span style="line-height: 115%;"><!--[if gte vml 1]><v:shape id="_x0000_i1125" type="#_x0000_t75" style='width:225.75pt;height:104.25pt'> <v:imagedata src="/help/imgFrHelp/image176.jpg" o:title="affine_fenetre_fausse"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image177.jpg" v:shapes="_x0000_i1125" height="139" width="301"><!--[endif]--></span></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193825">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193825'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193825'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>68</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193825'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Boîte "Signe : affine" renseignée avec des erreurs</span><span style="line-height: 115%;"><o:p></o:p></span></p> <p class="MsoNormal"><!--[if gte vml 1]><v:shape id="Image_x0020_76" o:spid="_x0000_s1146" type="#_x0000_t75" style='position:absolute;left:0;text-align:left; margin-left:0;margin-top:2.1pt;width:178.5pt;height:72.75pt;z-index:3; visibility:visible;mso-position-horizontal:left'> <v:imagedata src="/help/imgFrHelp/image178.gif" o:title=""/> <w:wrap type="square"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image178.gif" v:shapes="Image_x0020_76" align="left" height="97" hspace="12" width="238"><!--[endif]--><span style="line-height: 115%;">S i l y a une erreur, une information s affiche dans le <i style="">Bloc Note</i>&nbsp;:<o:p></o:p></span></p> <p class="MsoNormal" style="text-align: center;" align="center"><span style="line-height: 115%;"><!--[if gte vml 1]><v:shape id="_x0000_i1126" type="#_x0000_t75" style='width:231pt;height:106.5pt'> <v:imagedata src="/help/imgFrHelp/image179.jpg" o:title="affine_fenetre_juste"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image180.jpg" v:shapes="_x0000_i1126" height="142" width="308"><!--[endif]--></span></p> <p class="MsoCaption"><span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><a name="_Toc364193826">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193826'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193826'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>69</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193826'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Boîte "Signe<span> : affine" renseignée correctement</span></span><span style="line-height: 115%;"><o:p></o:p></span></p> <p class="MsoNormal"><span style="line-height: 115%;">Si les valeurs entrées sont correctes, après avoir cliqué sur <b>Evaluer</b> une nouvelle <i>boite</i> s affiche&nbsp;:<o:p></o:p></span></p> <p class="MsoNormal" style="text-align: center;" align="center"><span style="line-height: 115%;"><!--[if gte vml 1]><v:shape id="_x0000_i1127" type="#_x0000_t75" style='width:227.25pt;height:118.5pt'> <v:imagedata src="/help/imgFrHelp/image181.jpg" o:title="affine_ccl"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image182.jpg" v:shapes="_x0000_i1127" height="158" width="303"><!--[endif]--></span></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193827">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193827'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193827'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>70</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193827'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Boîte "conclusion" signe</span><span style="line-height: 115%;"><o:p></o:p></span></p> <p class="MsoNormal"><span style="">Pour chaque ligne cliquez sur la case vide jusqu'à obtenir <i>négative</i> ou <i style="">positive</i>. Evaluez vos propositions en cliquant sur <b style="">Evaluer Prop</b>.<o:p></o:p></span></p> <p class="MsoNormal" style="text-align: center;" align="center"><span style="line-height: 115%;"><!--[if gte vml 1]><v:shape id="_x0000_i1128" type="#_x0000_t75" style='width:223.5pt;height:117.75pt'> <v:imagedata src="/help/imgFrHelp/image183.jpg" o:title="affine_ccl1"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image184.jpg" v:shapes="_x0000_i1128" height="157" width="298"><!--[endif]--></span></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193828">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193828'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193828'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>71</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193828'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Boîte "conclusion" 1ere ligne renseignée</span><span style="line-height: 115%;"><o:p></o:p></span></p> <p class="MsoNormal"><span style="">Quand vos propositions sont correctes le bouton <b>OK</b> est activé&nbsp;; cliquez dessus.<o:p></o:p></span></p> <p class="MsoNormal" style="text-align: center;" align="center"><span style="line-height: 115%;"><!--[if gte vml 1]><v:shape id="_x0000_i1129" type="#_x0000_t75" style='width:222.75pt;height:116.25pt'> <v:imagedata src="/help/imgFrHelp/image185.jpg" o:title="affine_ccl2"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image186.jpg" v:shapes="_x0000_i1129" height="155" width="297"><!--[endif]--></span></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193829">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193829'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193829'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>72</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193829'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Boîte "Conclusion" renseignée</span><span style="line-height: 115%;"><o:p></o:p></span></p> <p class="MsoNormal"><span style="line-height: 115%;">Le zéro de <i style="">f<sub>1</sub></i> est mis dans liste des <i style="">Valeurs de x</i> et le signe de <i>f<sub>1</sub></i> est mis sous forme de ronds verts (positif quand le rond est au dessus de la ligne horizontale passant par 0, négatif sinon).</span></p> <p class="MsoNormal" style="text-align: center;" align="center"><!--[if gte vml 1]><v:shape id="_x0000_i1130" type="#_x0000_t75" style='width:249pt;height:125.25pt'> <v:imagedata src="/help/imgFrHelp/image187.gif" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image187.gif" v:shapes="_x0000_i1130" height="167" width="332"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193830">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193830'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193830'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>73</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193830'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Visualisation signe dans la liste des fonctions</span><span style="line-height: 115%;"><o:p></o:p></span></p> <h3><a name="_Toc364184538"><span>Déterminer les variations d une fonction affine</span></a><span><o:p></o:p></span></h3> <p class="MsoNormal"><span style="">Pour déterminer le signe de (À  2x) créez d abord le zéro de la fonction <i style="">f<sub>0</sub></i></span><span style="">&nbsp; </span><span style="line-height: 115%;"><span style="">&nbsp;</span>(c est-à dire À/2) dans la <i style="">liste des Valeurs de x</i> (avec le bouton <b style="">Nouvelle Valeur</b>), puis sélectionnez<i> f<sub>0</sub></i> dans la liste des fonctions.<o:p></o:p></span></p> <p class="MsoNormal"><span style=""><span style="">&nbsp;</span>Dans le menu <b style="">Justifier</b> choisir <b style="">Variations : fonction de référence</b>.<o:p></o:p></span></p> <p class="MsoNormal" style="text-align: center;" align="center"><!--[if gte vml 1]><v:shape id="_x0000_i1131" type="#_x0000_t75" style='width:151.5pt;height:207pt'> <v:imagedata src="/help/imgFrHelp/image188.jpg" o:title="justifier_fct_ref"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image189.jpg" v:shapes="_x0000_i1131" height="276" width="202"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193831">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193831'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193831'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>74</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193831'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Menu Justification Variation</span><span style="line-height: 115%;"><o:p></o:p></span></p> <p class="MsoNormal"><span style="">Cette <i style="">boite</i> s ouvre&nbsp;: <o:p></o:p></span></p> <p class="MsoNormal" style="text-align: center;" align="center"><!--[if gte vml 1]><v:shape id="_x0000_i1132" type="#_x0000_t75" style='width:228.75pt;height:123pt; mso-position-horizontal:right;mso-position-vertical:top; mso-position-vertical-relative:margin'> <v:imagedata src="/help/imgFrHelp/image190.jpg" o:title="fct_ref_fenetre"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image191.jpg" v:shapes="_x0000_i1132" height="164" width="305"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193832">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193832'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193832'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>75</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193832'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Boîte "Var<span style="">iations"</span></span><span style="line-height: 115%;"><o:p></o:p></span></p> <p class="MsoNormal"><span style="">Vous pouvez choisir le type de fonction dans la liste et vous obtenez une représentation graphique de la fonction sélectionnée. Cliquez sur le bouton <b style="">Evaluer</b>. Si le choix est correct une <i style="">boite de Conclusion</i> s ouvre&nbsp;:<o:p></o:p></span></p> <p class="MsoNormal" style="text-align: center;" align="center"><!--[if gte vml 1]><v:shape id="_x0000_i1133" type="#_x0000_t75" style='width:225.75pt;height:120.75pt'> <v:imagedata src="/help/imgFrHelp/image192.jpg" o:title="fct_ref_ccl"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image193.jpg" v:shapes="_x0000_i1133" height="161" width="301"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193833">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193833'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193833'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>76</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193833'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Boite "Conclusion" variations</span><span style="line-height: 115%;"><o:p></o:p></span></p> <p class="MsoNormal"><span style="">Pour chaque ligne, cliquez sur la case vide pour faire apparaître <i style="">croissante</i> ou <i>décroissante</i>.<br> Evaluez vos propositions en cliquant sur <b>Evaluer Prop</b>.<br> Quand vos propositions sont correctes le bouton <b style="">OK</b> est activé&nbsp;; cliquez dessus.<o:p></o:p></span></p> <p class="MsoNormal" style="text-align: center;" align="center"><!--[if gte vml 1]><v:shape id="_x0000_i1134" type="#_x0000_t75" style='width:225pt;height:120pt'> <v:imagedata src="/help/imgFrHelp/image194.jpg" o:title="fct_ref_ccl1"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image195.jpg" v:shapes="_x0000_i1134" height="160" width="300"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193834">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193834'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193834'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>77</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193834'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Boîte "Conclusion" variation renseignée</span></p> <p class="MsoNormal"><span style="line-height: 115%;">Le sens de variation de<i style=""> <span style="">f<sub>0</sub></span></i> se traduit par des flèches dans la <i style="">liste des fonctions</i>.<o:p></o:p></span></p> <p class="MsoNormal" style="text-align: center;" align="center"><!--[if gte vml 1]><v:shape id="Image_x0020_100" o:spid="_x0000_i1135" type="#_x0000_t75" style='width:162pt; height:117.75pt;visibility:visible'> <v:imagedata src="/help/imgFrHelp/image196.gif" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image196.gif" v:shapes="Image_x0020_100" height="157" width="216"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193835">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193835'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193835'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>78</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193835'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Visualisation des variations</span></p> <h3><a name="_Toc364184539"><span>Justifier le signe à partir des variations</span></a><span><o:p></o:p></span></h3> <p class="MsoNormal" style="text-align: center;" align="center"><span style="line-height: 115%;">Après avoir déterminé le sens de variation il faut justifier le signe. Dans le menu <b>Justifier</b> choisissez <b style="">Signe : variations Connues</b>.</span><br> <!--[if gte vml 1]><v:shape id="_x0000_i1136" type="#_x0000_t75" style='width:186pt;height:207pt'> <v:imagedata src="/help/imgFrHelp/image197.jpg" o:title="justifier_variation"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image198.jpg" v:shapes="_x0000_i1136" height="276" width="248"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193836">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193836'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193836'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>79</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193836'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Menu signe-variation connues</span><span style="line-height: 115%;"><o:p></o:p></span></p> <p class="MsoNormal"><span style="line-height: 115%;">La <i style="">boite Signe : variations Connues : Conditions d'application</i> s'ouvre. Indiquez pour l'une des valeurs du menu déroulant si la fonction est <i>négative</i>, <i style="">nulle</i> ou <i>positive</i>. Ici, indiquez <i>x<sub>2</sub></i> et choisissez <b style="">fonction nulle</b>. Le bouton <b style="">Evaluer</b> devient accessible, cliquez dessus.<o:p></o:p></span></p> <p class="MsoNormal" style="text-align: center;" align="center"><!--[if gte vml 1]><v:shape id="_x0000_i1137" type="#_x0000_t75" style='width:212.25pt;height:124.5pt; mso-position-horizontal:right;mso-position-horizontal-relative:margin; mso-position-vertical:top;mso-position-vertical-relative:margin'> <v:imagedata src="/help/imgFrHelp/image199.jpg" o:title="variation_fenetre"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image200.jpg" v:shapes="_x0000_i1137" height="166" width="283"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193837">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193837'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193837'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>80</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193837'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Boite "Signe : variations Connues"</span><span style="line-height: 115%;"><o:p></o:p></span></p> <p class="MsoNormal"><span style="line-height: 115%;">Une <i style="">boite de Conclusion</i> apparaît. Pour chaque ligne, cliquez sur la case vide jusqu'à obtenir <i>positive</i> ou <i style="">négative</i>. Evaluez vos propositions en cliquant sur <b>Evaluer Prop.</b> Quand vos propositions sont correctes, le bouton <b>OK </b>est activé ; cliquez dessus.<o:p></o:p></span></p> <p class="MsoNormal" style="text-align: center;" align="center"><!--[if gte vml 1]><v:shape id="_x0000_i1138" type="#_x0000_t75" style='width:222.75pt;height:117.75pt; mso-position-horizontal-relative:margin'> <v:imagedata src="/help/imgFrHelp/image201.jpg" o:title="variation_ccl"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image202.jpg" v:shapes="_x0000_i1138" height="157" width="297"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193838">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193838'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193838'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>81</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193838'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Boite "Signe : variations Connues" renseignée</span><span style="line-height: 115%;"><o:p></o:p></span></p> <p class="MsoNormal"><span style="line-height: 115%;">Le signe de<i> f<sub>0</sub></i> est indiqué dans la liste des fonctions par la position des flèches vertes. Au-dessus de la ligne de pointillés passant par zéro, la fonction est positive et en dessous, la fonction est négative.<o:p></o:p></span></p> <p class="MsoNormal" style="text-align: center;" align="center"><!--[if gte vml 1]><v:shape id="_x0000_i1139" type="#_x0000_t75" style='width:289.5pt;height:123.75pt'> <v:imagedata src="/help/imgFrHelp/image203.gif" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image203.gif" v:shapes="_x0000_i1139" height="165" width="386"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193839">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193839'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193839'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>82</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193839'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Visualisation du signe de f0</span><span style="line-height: 115%;"><o:p></o:p></span></p> <h3><a name="_Toc364184540"><span>Déterminer le signe d un produit</span></a><span><o:p></o:p></span></h3> <p class="MsoNormal"><span style="">Enfin sélectionnez <i style="">f</i> et choisissez dans le menu <b style="">Justifier</b>, <b>Signe : produit, quotient</b>. <o:p></o:p></span></p> <p class="MsoNormal" style="text-align: center;" align="center"><span style="line-height: 115%;"><!--[if gte vml 1]><v:shape id="_x0000_i1140" type="#_x0000_t75" style='width:402.75pt;height:215.25pt'> <v:imagedata src="/help/imgFrHelp/image204.jpg" o:title="justifier_produit"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image204.jpg" v:shapes="_x0000_i1140" height="287" width="537"><!--[endif]--></span></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193840">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193840'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193840'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>83</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193840'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Menu Justifier / Signe : Produit, quotient</span><span style="line-height: 115%;"><o:p></o:p></span></p> <p class="MsoNormal"><span style="line-height: 115%;">En bas de la <i style="">boite de dialogue</i>, sélectionnez les deux lignes car <i style="">f </i>est le produit de <i style="">f<sub>0</sub></i> et de <i style="">f<sub>1</sub></i>.<o:p></o:p></span></p> <p class="MsoNormal" style="text-align: center;" align="center"><span style="line-height: 115%;"><!--[if gte vml 1]><v:shape id="_x0000_i1141" type="#_x0000_t75" style='width:395.25pt;height:127.5pt'> <v:imagedata src="/help/imgFrHelp/image205.jpg" o:title="produit_fenetre"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image205.jpg" v:shapes="_x0000_i1141" height="170" width="527"><!--[endif]--></span></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193841">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193841'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193841'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>84</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193841'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Boîte "Signe : produit, quotient"</span><span style="line-height: 115%;"><o:p></o:p></span></p> <p class="MsoNormal"><span style="">Cliquez sur <b style="">Evaluer</b> pour obtenir la <i style="">boite</i> ci-dessous dont le fonctionnement a déjà été expliqué. <o:p></o:p></span></p> <p class="MsoNormal"><span style="">Cliquez sur <b style="">Evaluer Prop</b>. puis sur <b style="">OK</b>. Le signe de <i>f</i> apparaît dans la <i style="">liste des fonctions</i>.<o:p></o:p></span></p> <p class="MsoNormal" style="text-align: center;" align="center"><span style="line-height: 115%;"><!--[if gte vml 1]><v:shape id="_x0000_i1142" type="#_x0000_t75" style='width:242.25pt;height:129pt'> <v:imagedata src="/help/imgFrHelp/image206.jpg" o:title="produit_ccl"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image207.jpg" v:shapes="_x0000_i1142" height="172" width="323"><!--[endif]--></span></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193842">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193842'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193842'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>85</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193842'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Conclusion signe</span></p> <p class="MsoNormal">Au final, le tableau de signe dans la <i>liste des fonctions</i> est complètement rempli. Le contenu du <i style="">Bloc Note</i> permet de se rappeler toutes les étapes et constitue une base pour la rédaction d'une justification. Il est en effet possible d afficher la source, de l éditer avec quelques commandes simples et de le sauvegarder sous forme de fichier <a href="http://en.wikipedia.org/wiki/MIME" title="MIME"><span style="background: white none repeat scroll 0% 50%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial; color: rgb(11, 0, 128); line-height: 115%; font-size: 9pt;">MIME</span></a><span class="apple-converted-space"><span style="background: white none repeat scroll 0% 50%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial; color: black; line-height: 115%; font-family: Arial; font-size: 9pt;">&nbsp;</span></span><a href="http://en.wikipedia.org/wiki/HTML" title="HTML"><span style="background: white none repeat scroll 0% 50%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial; color: rgb(11, 0, 128); line-height: 115%; font-size: 9pt;">HTML</span></a><span style="background: white none repeat scroll 0% 50%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial; color: black; line-height: 115%; font-family: Arial; font-size: 9pt;">,</span> d extension mht que beaucoup d explorateurs et de traitements de texte peuvent ouvrir.</p> <p class="MsoNormal" style="text-align: center;" align="center"><!--[if gte vml 1]><v:shape id="_x0000_i1143" type="#_x0000_t75" style='width:282pt;height:113.25pt'> <v:imagedata src="/help/imgFrHelp/image208.gif" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image208.gif" v:shapes="_x0000_i1143" border="0" height="151" width="376"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193843">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193843'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193843'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>86</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193843'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Tableau de signe des fonctions</span></p> </body></html>