<!DOCTYPE html> <html xmlns="http://www.w3.org/1999/xhtml"><head> <!--[ GuppY v5.0.9 CeCILL Copyright (C) 2004-2014 by Laurent Duveau - http://www.freeguppy.org/ ]--> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="application-name" content="Casyopée - Expression provenant de situations géométriques"> <title>Casyopée - Expression provenant de situations géométriques</title> <meta name="description" content="Casyopée: a learning environment dedicated to functions"> <meta name="generator" content="GuppY CMS"> <meta name="author" content="lagrange"> <meta name="keywords" content="casyopée, functions, mathematics, geodynamic geometry, cas, symbolic computation,"> <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=1"> <meta name="apple-mobile-web-app-capable" content="yes"> <meta name="apple-mobile-web-app-status-bar-style" content="black"> <link rel="shortcut icon" href="https://casyopee.math.univ-paris-diderot.fr/guppy.ico"> <link rel="alternate" type="application/rss+xml" title="Casyopée : Actualité" hreflang="fr" href="https://casyopee.math.univ-paris-diderot.fr/data/fr-news.xml"> <link type="text/css" rel="stylesheet" href="skins/casyop/style.css"> <link type="text/css" rel="stylesheet" href="skins/casyop/jqstyle.css"> <style type="text/css" media="screen"> @import url(inc/auto.css); </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>Expression provenant de situations géométriques<a name="_Toc364184524"><span style="font-family: &quot;Times New Roman&quot;;"></span></a></h1> <h3><a name="_Toc364184524"><span style="font-family: &quot;Times New Roman&quot;;">Créer des expressions provenant de situations géométriques</span></a><span style="font-family: &quot;Times New Roman&quot;;"><o:p></o:p></span></h3> <div style="border: 1pt solid windowtext; padding: 1pt 4pt; margin-right: 72.3pt; margin-left: 55pt;"> <p class="MsoNormal" style="border: medium none currentcolor; padding: 0cm; text-align: center;" align="center">On souhaite connaître la hauteur d un triangle équilatéral de côté a</p> </div> <p class="MsoNormal">Basculez dans le <i style="">volet de géométrie</i> en utilisant le bouton<sub><span style="line-height: 115%;"><!--[if gte vml 1]><v:shape id="_x0000_i1060" type="#_x0000_t75" style='width:60pt;height:18pt'> <v:imagedata src="/help/imgFrHelp/image009.jpg" o:title="bouton_geometrie"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image010.jpg" v:shapes="_x0000_i1060" height="24" width="80"><!-- [endif]--></span></sub>. Dans le menu du <i style="">volet de géométrie</i> choisissez <b style="">Objets</b> puis <b style="">Point</b> et enfin <b>Point Repéré</b> (<b style="">Objets</b> / <b style="">Point</b> / <b style="">Point Repéré</b>).</p> <p class="MsoNormal" style="text-align: center;" align="center"><!--[if gte vml 1]><v:shape id="_x0000_i1028" type="#_x0000_t75" style='width:382.5pt;height:198.75pt'> <v:imagedata src="/help/imgFrHelp/image059.jpg" o:title="pt_rep_menu"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image060.jpg" v:shapes="_x0000_i1028" height="265" width="510"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193783"></a><a name="_Ref364181385"></a><a name="_Ref364181343"><span style=""><span>Figure </span></span></a><!--[if supportFields]><span style='mso- bookmark:_Ref364181343'><span style='mso-bookmark:_Ref364181385'><span style='mso- bookmark:_Toc364193783'></span></span></span><span style='mso-element:field-begin'></span><span style='mso- bookmark:_Ref364181343'><span style='mso-bookmark:_Ref364181385'><span style='mso- bookmark:_Toc364193783'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element: field-separator'></span></span></span></span><![endif]--><span style=""><span><span style=""><span>20</span></span></span></span><!--[if supportFields]><span style='mso-bookmark:_Ref364181343'><span style='mso- bookmark:_Ref364181385'><span style='mso-bookmark:_Toc364193783'></span></span></span><span style='mso- element: field-end'></span><![endif]--><span style=""><span style=""><span style=""> : Menu Créer Objet / Point / Point Repéré</span></span></span></p> <p class="MsoNormal">Une <i style="">boite de dialogue</i> s'ouvre, pour x indiquez 0 et pour y, a. Cliquez sur <b>Créer</b> puis <b style="">Sortir</b>.</p> <p class="MsoNormal" style="text-align: center;" align="center"><!--[if gte vml 1]><v:shape id="_x0000_i1029" type="#_x0000_t75" style='width:409.5pt;height:172.5pt'> <v:imagedata src="/help/imgFrHelp/image061.png" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image062.jpg" v:shapes="_x0000_i1029" height="230" width="546"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193784">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193784'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193784'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>21</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193784'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Boite de création de point repéré</span></p> <p class="MsoNormal" style="page-break-after: avoid;">Eventuellement, animez le paramètre pour que le point soit visible.</p> <p class="MsoNormal" style="text-align: center;" align="center"><!--[if gte vml 1]><v:shape id="_x0000_i1030" type="#_x0000_t75" style='width:219.75pt;height:197.25pt'> <v:imagedata src="/help/imgFrHelp/image063.png" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image064.jpg" v:shapes="_x0000_i1030" height="263" width="293"><!--[endif]--><span style="">&nbsp;</span><!--[if gte vml 1]><v:shape id="_x0000_i1031" type="#_x0000_t75" style='width:180.75pt;height:64.5pt'> <v:imagedata src="/help/imgFrHelp/image065.png" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image066.jpg" v:shapes="_x0000_i1031" height="86" width="241"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193785">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193785'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193785'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>22</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193785'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : <span style="">Premier point dans le volet de géométrie</span></span></p> <p class="MsoNormal">En sélectionnant le point et en utilisant le clic droit (menu contextuel), vous pouvez renommer le point. Appelez-le B. Renommez aussi l origine en O.</p> <p class="MsoNormal">Avec le même menu contextuel, vous pouvez accéder aux propriétés du point, par exemple la position de son étiquette (Label). Voyez aussi la définition algébrique de l objet (ici un couple de coordonnées).<br> <!--[if gte vml 1]><v:shape id="_x0000_i1061" type="#_x0000_t75" style='width:175.5pt; height:142.5pt'> <v:imagedata src="/help/imgFrHelp/image067.png" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image068.jpg" v:shapes="_x0000_i1061" height="190" width="234"><!--[endif]--><span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><!--[if gte vml 1]><v:shape id="_x0000_i1062" type="#_x0000_t75" style='width:153.75pt;height:144.75pt'> <v:imagedata src="/help/imgFrHelp/image069.png" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image070.jpg" v:shapes="_x0000_i1062" height="193" width="205"><!--[endif]--><!--[if gte vml 1]><v:shape id="_x0000_i1063" type="#_x0000_t75" style='width:152.25pt;height:145.5pt'> <v:imagedata src="/help/imgFrHelp/image071.png" o:title="" croptop="10597f" cropbottom="25275f" cropright="37670f"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image072.jpg" v:shapes="_x0000_i1063" height="194" width="203"><!--[endif]--><span style="">&nbsp;</span></p> <p class="MsoCaption"><a name="_Toc364193786">Figure </a><!--[if supportFields]><span style='mso-bookmark:_Toc364193786'></span><span style='mso-element:field- begin'></span><span style='mso-bookmark:_Toc364193786'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>23</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193786'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Menu contextuel des points et Propriétés<span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span>Figure </span><!--[if supportFields]><span style='mso-bookmark:_Toc364193786'></span><span style='mso-element:field- begin'></span><span style='mso-bookmark:_Toc364193786'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>24</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193786'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Points renommés B et O</span></p> <p class="MsoNormal">Nous allons créer 2 cercles : <b>Créer Objet</b> / <b style="">Cercle</b> / <b style="">Cercle par Centre et passant par un Point</b>. Le premier cercle est de centre O et passe par le point B, le second est de centre B et passe par O. Vous pouvez aussi utiliser le bouton<!--[if gte vml 1]><v:shape id="_x0000_i1064" type="#_x0000_t75" style='width:24pt;height:24pt'> <v:imagedata src="/help/imgFrHelp/image073.gif" o:title="mode_circle2_32"/> </v:shape><![endif]--><!--[if !vml]--> <img src="/help/imgFrHelp/image073.gif" v:shapes="_x0000_i1064" height="32" width="32"><!--[endif]-->. <span style="text-decoration: underline;">Note</span>&nbsp;: le fonctionnement des boutons de géométrie est le même que dans d autres logiciels comme GeoGebra. Vous pouvez vous faire aider par quelqu un qui connait un de ces logiciels.<br> <!--[if gte vml 1]><v:shape id="_x0000_i1065" type="#_x0000_t75" style='width:246.75pt; height:186pt'> <v:imagedata src="/help/imgFrHelp/image074.png" o:title="" cropbottom="10459f"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image075.jpg" v:shapes="_x0000_i1065" height="248" width="329"><!--[endif]--><span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span style="">&nbsp;</span><!--[if gte vml 1]><v:shape id="_x0000_i1066" type="#_x0000_t75" style='width:264pt;height:185.25pt'> <v:imagedata src="/help/imgFrHelp/image076.png" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image077.jpg" v:shapes="_x0000_i1066" height="247" width="352"><!--[endif]--></p> <p class="MsoCaption"><a name="_Toc364193787">Figure </a><!--[if supportFields]><span style='mso-bookmark:_Toc364193787'></span><span style='mso-element:field- begin'></span><span style='mso-bookmark:_Toc364193787'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>25</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193787'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Les cercles<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;&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 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; </span>Figure </span><!--[if supportFields]><span style='mso-bookmark:_Toc364193787'></span><span style='mso-element:field- begin'></span><span style='mso-bookmark:_Toc364193787'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>26</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193787'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Créer un point d intersection</span></p> <p class="MsoNormal">Nous allons créer un des points d'intersection des 2 cercles : <b style="">Objet</b> / <b>Point libre ou</b> <b style="">Intersection </b>ou utilisez le bouton<!--[if gte vml 1]><v:shape id="_x0000_i1067" type="#_x0000_t75" style='width:35.25pt;height:29.25pt'> <v:imagedata src="/help/imgFrHelp/image078.gif" o:title=""/> </v:shape><![endif]-->{C}{C}{C}{C}<!--[if !vml]--><img src="/help/imgFrHelp/image078.gif" v:shapes="_x0000_i1067" height="39" width="47">{C}{C}{C}{C}<!--[endif]--> . Pointez sur une des deux intersections et choisissez le dernier item du menu proposé. Renommez le point créé en C. Il est possible de cacher les cercles, les axes (menus contextuels) et la grille (menu action), de créer le triangle OBC (bouton<!--[if gte vml 1]><v:shape id="_x0000_i1068" type="#_x0000_t75" style='width:24pt;height:24pt'> <v:imagedata src="/help/imgFrHelp/image079.gif" o:title="polygon"/> </v:shape><![endif]--><!--[if !vml]--> <img src="/help/imgFrHelp/image079.gif" v:shapes="_x0000_i1068" height="32" width="32"><!--[endif]-->) et de repositionner les étiquettes des points.</p> <p class="MsoNormal"><span style="text-decoration: underline;">Note</span>&nbsp;: il aurait été possible de créer le troisième point du triangle «&nbsp;à la volée&nbsp;», en actionnant le bouton<!--[if gte vml 1]><v:shape id="_x0000_i1069" type="#_x0000_t75" style='width:24pt;height:24pt'> <v:imagedata src="/help/imgFrHelp/image079.gif" o:title="polygon"/> </v:shape><![endif]--><!--[if !vml]--> <img src="/help/imgFrHelp/image079.gif" v:shapes="_x0000_i1069" height="32" width="32"><!--[endif]--><span style="">&nbsp;</span>puis en cliquant successivement sur les points O et B et sur le point d intersection à créer.</p> <p class="MsoNormal" style="page-break-after: avoid;"><!--[if gte vml 1]><v:shape id="_x0000_i1070" type="#_x0000_t75" style='width:273.75pt;height:149.25pt'> <v:imagedata src="/help/imgFrHelp/image080.png" o:title="" cropbottom="18617f"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image081.jpg" v:shapes="_x0000_i1070" height="199" width="365"><!--[endif]--><span style="">&nbsp;</span><!--[if gte vml 1]><v:shape id="_x0000_i1071" type="#_x0000_t75" style='width:213.75pt;height:153pt'> <v:imagedata src="/help/imgFrHelp/image082.png" o:title="" cropbottom="17740f" cropright="14228f"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image083.jpg" v:shapes="_x0000_i1071" height="204" width="285"><!--[endif]--></p> <p class="MsoCaption" style=""><a name="_Toc364193788">Figure </a><!--[if supportFields]><span style='mso-bookmark:_Toc364193788'></span><span style='mso-element:field- begin'></span><span style='mso-bookmark:_Toc364193788'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>27</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193788'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Le triangle<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;&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;&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> Figure </span><!--[if supportFields]><span style='mso- bookmark:_Toc364193788'></span><span style='mso-element:field-begin'></span><span style='mso- bookmark:_Toc364193788'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element: field-separator'></span></span><![endif]--><span><span style="">28</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193788'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Point milieu H et segment HC</span></p> <p class="MsoNormal">Créons le point H milieu de [oB] : <b>Objets</b> / <b style="">Point</b> / <b style="">Milieu</b> ou bouton<!--[if gte vml 1]><v:shape id="_x0000_i1072" type="#_x0000_t75" style='width:32.25pt;height:28.5pt'> <v:imagedata src="/help/imgFrHelp/image084.png" o:title="" croptop="7925f"/> </v:shape><![endif]--><!--[if !vml]--> <img src="/help/imgFrHelp/image085.jpg" v:shapes="_x0000_i1072" height="38" width="43"><!--[endif]-->dans la liste du bouton<!--[if gte vml 1]><v:shape id="_x0000_i1073" type="#_x0000_t75" style='width:35.25pt;height:29.25pt'> <v:imagedata src="/help/imgFrHelp/image078.gif" o:title=""/> </v:shape><![endif]--><!--[if !vml]--> <img src="/help/imgFrHelp/image078.gif" v:shapes="_x0000_i1073" height="39" width="47"><!--[endif]--><span style="">&nbsp;</span>. Sélectionnez le segment [oB], ou successivement O et B. Nommez le point H. Créez le segment CH (<b style="">Objets</b> / <b>Droite</b> / <b style="">Segment</b> ou bouton<!--[if gte vml 1]><v:shape id="_x0000_i1074" type="#_x0000_t75" style='width:32.25pt;height:24pt'> <v:imagedata src="/help/imgFrHelp/image086.png" o:title="" croptop="14158f"/> </v:shape><![endif]--><!--[if !vml]--> <img src="/help/imgFrHelp/image087.jpg" v:shapes="_x0000_i1074" height="32" width="43"><!--[endif]-->). Le menu contextuel du segment propose une entrée <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;">Afficher Longueur</span>. Ceci provoque la création d une étiquette qu il est possible de repositionner relativement au segment. La valeur approchée affichée est calculée avec la valeur actuelle du paramètre a.</p> <p class="MsoNormal">Nous allons maintenant rechercher une expression mathématique de cette distance, qui est la <i>hauteur</i> d un triangle équilatéral de côté a. Passez dans le <i>volet de calculs géométriques</i> (bouton<sub><span style="line-height: 115%;"><!--[if gte vml 1]><v:shape id="_x0000_i1075" type="#_x0000_t75" style='width:108.75pt;height:17.25pt'> <v:imagedata src="/help/imgFrHelp/image013.jpg" o:title="bouton_calculs_geo"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image088.jpg" v:shapes="_x0000_i1075" height="23" width="145"><!-- [endif]--></span></sub>).</p> <p class="MsoNormal">Créons le calcul CH. Cliquez sur <b>Créer Calcul</b>. Dans la <i>boite</i> qui s'ouvre, renseignez la case <i>Calcul</i> avec CH. Cliquez sur <b style="">Créer</b>.</p> <p class="MsoNormal" style="text-align: center;" align="center"><!--[if gte vml 1]><v:shape id="_x0000_i1076" type="#_x0000_t75" style='width:409.5pt;height:132pt'> <v:imagedata src="/help/imgFrHelp/image089.png" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image090.jpg" v:shapes="_x0000_i1076" height="176" width="546"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193789">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193789'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193789'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>29</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193789'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Création du calcul géométrique CH</span></p> <p class="MsoNormal">Dans le <i style="">volet calculs géométriques</i>, <span style="font-family: &quot;Andika Basic&quot;;">Casyopée</span> a créé le calcul c0. <span style="line-height: 115%;">Si vous préférez avoir </span>c0<span style="line-height: 115%;"> <span style="">&nbsp;</span>sous la forme d(C,H), choisissez dans menu général <b style="">Options</b> / <b style="">Volets algèbres</b> / <b>Affichage Distance d(,)</b>.</span></p> <p class="MsoNormal">Lorsque le calcul est coché, on observe une valeur approchée cohérente avec l étiquette affichée sur la figure. Comment dépend-t-elle du paramètre <i style="">a</i> ? Dans la barre d'outils, faites varier la valeur de <i style="">a</i> avec le curseur. Observez les changements dans la figure ainsi que le résultat du calcul <i style="">c0</i>. La valeur de CH dépendrait du paramètre <i style="">a</i>. Pour vérifier cette hypothèse, mettez en surbrillance le calcul c0 en cliquant dessus, et dans le menu contextuel (click droit) choisissez <b>Dépendance</b>.</p> <p class="MsoCaption" style="text-align: center;" align="center"><!--[if gte vml 1]><v:shape id="_x0000_i1077" type="#_x0000_t75" style='width:197.25pt;height:96.75pt'> <v:imagedata src="/help/imgFrHelp/image091.png" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image092.jpg" v:shapes="_x0000_i1077" height="129" width="263"><!--[endif]--><!--[if gte vml 1]><v:shape id="_x0000_i1078" type="#_x0000_t75" style='width:201.75pt;height:105.75pt'> <v:imagedata src="/help/imgFrHelp/image093.png" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image094.jpg" v:shapes="_x0000_i1078" height="141" width="269"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193790">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193790'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193790'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>30</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193790'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Le volet Calculs géométriques</span></p> <p class="MsoNormal" style="page-break-after: avoid;">Une <i>boite</i> s'ouvre, elle indique que le calcul ne dépend d'aucun point libre et donne une expression algébrique. Elle propose de l'exporter comme expression. Choisissez <b style="">OK</b>.</p> <p class="MsoNormal" style="text-align: center;" align="center"><!--[if gte vml 1]><v:shape id="_x0000_i1079" type="#_x0000_t75" style='width:409.5pt;height:82.5pt'> <v:imagedata src="/help/imgFrHelp/image095.png" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image096.jpg" v:shapes="_x0000_i1079" height="110" width="546"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193791">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193791'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193791'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>31</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193791'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Boite d'exportation<span style="">&nbsp; </span>de calcul</span></p> <p class="MsoNormal">En repassant dans le <i>volet d algèbre</i> (grâce au bouton <sub><span style="line-height: 115%;"><!--[if gte vml 1]><v:shape id="_x0000_i1080" type="#_x0000_t75" style='width:42pt;height:17.25pt'> <v:imagedata src="/help/imgFrHelp/image011.jpg" o:title="bouton_algebre"/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image012.jpg" v:shapes="_x0000_i1080" height="23" width="56"><!-- [endif]--></span></sub>), dans la <i style="">liste des expressions</i> observez la nouvelle expression E, dont la<span style="">&nbsp; </span>formule permet de connaître la valeur de la hauteur d'un triangle équilatéral de coté <i style="">a</i>.</p> <p class="MsoNormal" style="text-align: center;" align="center"><!--[if gte vml 1]><v:shape id="_x0000_i1081" type="#_x0000_t75" style='width:63pt;height:45.75pt'> <v:imagedata src="/help/imgFrHelp/image097.gif" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrHelp/image097.gif" v:shapes="_x0000_i1081" height="61" width="84"><!--[endif]--></p> <p class="MsoCaption" style="text-align: center;" align="center"><a name="_Toc364193792">Figure </a><!--[if supportFields]><span style='mso- bookmark: _Toc364193792'></span><span style='mso-element:field-begin'></span><span style='mso-bookmark:_Toc364193792'><span style='mso-spacerun:yes'> </span>SEQ Figure * ARABIC <span style='mso-element:field-separator'></span></span><! [endif]--><span style=""><span>32</span></span><!--[if supportFields]><span style='mso-bookmark:_Toc364193792'></span><span style='mso-element:field- end'></span><![endif]--><span style=""> : Expression de la hauteur d'un triangle équilatéral de coté <i style="">a</i></span></p> </body></html>