{"id":65,"date":"2007-05-19T19:01:00","date_gmt":"2007-05-19T17:01:00","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/des-exemples-de-figures-a-main-levee\/"},"modified":"2023-10-14T20:12:41","modified_gmt":"2023-10-14T18:12:41","slug":"des-exemples-de-figures-a-main-levee","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/figures-geometriques\/des-exemples-de-figures-a-main-levee\/","title":{"rendered":"Des exemples de figures \u00e0 main lev\u00e9e"},"content":{"rendered":"<p><strong>Pour le th\u00e9or\u00e8me de Pythagore<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-560\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_pytha1.jpg\" alt=\"pytha1.jpg\" width=\"189\" height=\"141\" align=\"center\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfiguremainlevee(-8u,-8u,10u,8u);\npair A,B,C;\nnumeric AB,AC,BC;\n\nAB:=4;    %choisir les longueurs\nAC:=3;\n\nA:=(0,0);\nB:=(AB*u,0);\nC:=(0,AC*u);\n\ntrace polygone(A,B,C);\n\nlabel.llft(btex $A$ etex,A);  %changer les noms des points de la zone de texte\nlabel.lrt(btex $B$ etex,B);\nlabel.top(btex $C$ etex,C);\n\ntrace codeperp(B,A,C,5);\n\nlabel.bot(btex $AB$ etex,0.5[A,B]);  %changer les longueurs\nlabel.lft(btex $AC$ etex,0.5[A,C]);\nlabel.urt(btex ? etex,0.5[B,C]);\n\nfinmainlevee;<\/pre>\n<hr \/>\n<p><strong>Pour la r\u00e9ciproque du th\u00e9or\u00e8me de Pythagore<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-561\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_pytha2.jpg\" alt=\"pytha2.jpg\" width=\"214\" height=\"132\" align=\"center\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfiguremainlevee (-8u,-8u,10u,8u);\npair A,B,C;\nnumeric AB,AC,BC;\n\nBC:=5;    %choisir les longueurs\nAB:=3;\nAC:=4;\n\nB:=(0,0);\nC:=(BC*u,0);\n\npath cc,cb;\ncc:=arccercle((xpart(C) +AC*u,ypart(C)),(xpart(C)-AC*u,ypart(C)),C);\ncb:=arccercle((xpart(B)+AB*u,ypart(B)),(xpart(B)-AB*u,ypart(B)),B);\nA= cc intersectionpoint cb;\n\ntrace polygone(A,B,C);\n\nlabel.llft(btex $B$ etex,B);  %changer les noms des points de la zone de texte\nlabel.lrt(btex $C$ etex,C);\nlabel.top(btex $A$ etex,A);\n\ntrace codeperp(B,A,C,5);\nlabel.bot(btex ? etex,A shifted (0,-0.3u));\n\nlabel.bot(btex $BC$ etex,0.5[B,C]);  %changer les longueurs\nlabel.ulft(btex $AB$ etex,0.5[A,B]);\nlabel.urt(btex $AC$ etex,0.5[A,C]);\n\nfinmainlevee;<\/pre>\n<hr \/>\n<p><strong>Pour le th\u00e9or\u00e8me de Thal\u00e8s dans un triangle<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-562\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_thales1.jpg\" alt=\"thales1.jpg\" width=\"148\" height=\"197\" align=\"center\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfiguremainlevee(-8u,-8u,10u,8u);\npair A,B,C,M,N;\n\nB:=(0,0);\nA:=(u,4u);\nC:=(3u,-u);\n\nnumeric cr;\ncr:=0.4;\n\nM:=cr[A,B];\nN:=cr[A,C];\n\ntrace segment (B,A);\ntrace segment (A,C);\ntrace segment(M,N) withcolor red withpen pencircle scaled 1.5pt;\ntrace segment(B,C) withcolor red withpen pencircle scaled 1.5pt;\n\nlabel.top(btex $A$ etex,A);  %changer les noms des points de la zone de texte\nlabel.llft(btex $B$ etex,B);\nlabel.lrt(btex $C$ etex,C);\nlabel.ulft(btex $M$ etex,M);\nlabel.urt(btex $N$ etex,N);\n\nfinmainlevee;<\/pre>\n<hr \/>\n<p><strong>Pour le th\u00e9or\u00e8me de Thal\u00e8s dans la figure papillon<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-563\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_thales2.jpg\" alt=\"thales2.jpg\" width=\"150\" height=\"229\" align=\"center\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfiguremainlevee(-8u,-8u,10u,8u);\npair A,B,C,M,N;\n\nB:=(0,0);\nA:=(u,3u);\nC:=(3u,-u);\n\nnumeric cr;\ncr:=-0.4;\n\nM:=cr[A,B];\nN:=cr[A,C];\n\ntrace segment (B,A);\ntrace segment (A,C);\ntrace segment (M,A);\ntrace segment (A,N);\ntrace segment(M,N) withcolor red withpen pencircle scaled 1.5pt;\ntrace segment(B,C) withcolor red withpen pencircle scaled 1.5pt;\n\nlabel.lft(btex $A$ etex,A);  %changer les noms des points de la zone de texte\nlabel.llft(btex $B$ etex,B);\nlabel.lrt(btex $C$ etex,C);\nlabel.urt(btex $M$ etex,M);\nlabel.ulft(btex $N$ etex,N);\n\nfinmainlevee;<\/pre>\n<hr \/>\n<p><strong>Triangle rectangle et cercle circonscrit<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-564\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_tri-cerc1.jpg\" alt=\"tri-cerc1.jpg\" width=\"238\" height=\"220\" align=\"center\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfiguremainlevee (-8u,-8u,10u,8u);\npair A,B,O,E;\n\nA:=(-3u,0);\nO:=(0,0);\nB:=symetrie(A,O);\nE:=rotation(B,O,60);\n\ntrace triangle(A,B,E);\n\ntrace arccercle(B,E,O);\ntrace arccercle(E,A,O);\ntrace arccercle(A,B,O);\n\ntrace codesegments(A,O,O,B,2);\n%trace codeperp(A,E,B,5);\n\nlabel.lft(btex $A$ etex,A);\nlabel.rt(btex $B$ etex,B);\nlabel.bot(btex $O$ etex,O);\nlabel.urt(btex $E$ etex,E);\n\nmarque_p:=\"croix\";\npointe(O);\nmarque_p:=\"rien\";\n\nfinmainlevee;<\/pre>\n<hr \/>\n<p><strong>Deux angles inscrits<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-565\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_ang-insc1.jpg\" alt=\"ang-insc1.jpg\" width=\"239\" height=\"217\" align=\"center\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfiguremainlevee (-8u,-8u,10u,8u);\npair D,A,B,O,E,F;\nnumeric r;\nr:=3;\n\nO:=(0,0);\nD:=(r*u,0); %Point \u00e0 droite du cercle.\n\nA:=rotation(D,O,104);\nB:=rotation(D,O,30);\nE:=rotation(D,O,200);\nF:=rotation(D,O,300);\n\ntrace chemin(A,E,B);\ntrace chemin(A,F,B);\n\n%trace codeangle.urt(B,E,A,1,btex $52^{\\circ}$ etex);\ntrace marqueangle(B,E,A,1);\ntrace marqueangle(B,F,A,1);\n\nlabel.ulft(btex $A$ etex,A);\nlabel.urt(btex $B$ etex,B);\nlabel.llft(btex $E$ etex,E);\nlabel.bot(btex $F$ etex,F);\n\ntrace arccercle(B,A,O) withcolor red withpen pencircle scaled 1.5pt;\ntrace arccercle(A,E,O);\ntrace arccercle(E,F,O);\ntrace arccercle(F,B,O);\n\n\nfinmainlevee;<\/pre>\n<hr \/>\n<p><strong>Un angle inscrit et un angle au centre<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-566\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_ang-insc2.jpg\" alt=\"ang-insc2.jpg\" width=\"226\" height=\"231\" align=\"center\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfiguremainlevee (-8u,-8u,10u,8u);\npair D,A,B,O,E;\nnumeric r;\nr:=3;\n\nO:=(0,0);\nD:=(r*u,0); %Point \u00e0 droite du cercle.\n\nA:=rotation(D,O,104);\nB:=rotation(D,O,30);\n\nE:=rotation(D,O,250);\n\ntrace chemin(A,E,B);\ntrace chemin(A,O,B);\n\n%trace codeangle.urt(B,E,A,1,btex $52^{\\circ}$ etex);\ntrace marqueangle(B,E,A,1);\ntrace marqueangle(B,O,A,2);\n\nlabel.ulft(btex $A$ etex,A);\nlabel.urt(btex $B$ etex,B);\nlabel.llft(btex $E$ etex,E);\nlabel.bot(btex $O$ etex,O);\n\ntrace arccercle(B,A,O) withcolor red withpen pencircle scaled 1.5pt;\ntrace arccercle(A,E,O);\ntrace arccercle(E,B,O);\n\n\nfinmainlevee;<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Pour le th\u00e9or\u00e8me de Pythagore Voici son code : u:=1cm; figuremainlevee(-8u,-8u,10u,8u); pair A,B,C; numeric AB,AC,BC; AB:=4; %choisir les longueurs AC:=3; A:=(0,0); B:=(AB*u,0); C:=(0,AC*u); trace polygone(A,B,C); label.llft(btex $A$ etex,A); %changer les&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2412,"menu_order":4,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-65","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Des exemples de figures \u00e0 main lev\u00e9e - Maths &amp; Num\u00e9rique<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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