{"id":60,"date":"2007-05-22T19:41:00","date_gmt":"2007-05-22T17:41:00","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/les-droites-remarquables\/"},"modified":"2023-10-14T20:12:43","modified_gmt":"2023-10-14T18:12:43","slug":"les-droites-remarquables","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/figures-geometriques\/les-droites-remarquables\/","title":{"rendered":"Les droites remarquables"},"content":{"rendered":"<p><strong>Les m\u00e9dianes<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-552\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_droites1.jpg\" alt=\"droites1.jpg\" width=\"331\" height=\"280\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_droites1.jpg 331w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_droites1-300x254.jpg 300w\" sizes=\"auto, (max-width: 331px) 100vw, 331px\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfigure (-u,-2u,8u,6u);\npair A,B,C,I,J,K,G;\n\nA=(0,0);\nB=(2u,5u);\nC=(7u,-u);\nI=0.5[B,C];\n%I:=milieu(B,C);\nJ=0.5[A,C];\nK=0.5[B,A];\n\nG=whatever[A,I]=whatever[B,J]; %centre de gravit\u00e9\n%G:=(A+B+C)\/3;\n%G:=iso(A,B,C);\n\ndraw A--B--C--cycle;\ndraw droite(A,I) withcolor red;\ndraw droite(B,J) withcolor red;\ndraw droite(C,K) withcolor red;\n\ntrace codesegments(B,I,I,C,2);\ntrace codesegments(A,J,J,C,1);\ntrace codesegments(B,K,K,A,3);\n\nmarque_p:=\"rien\";\nlabel.ulft(btex $A$ etex,A);\nlabel.urt(btex $B$ etex,B);\nlabel.bot(btex $C$ etex,C);\nlabel.top(btex $I$ etex,I);\nlabel.llft(btex $J$ etex,J);\nlabel.ulft(btex $K$ etex,K);\nlabel.urt(btex $G$ etex,G);\n\nlabel.lrt(btex $(d_1)$ etex, 1.6[G,I]);\nlabel.llft(btex $(d_2)$ etex, 1.4[G,J]);\nlabel.urt(btex $(d_3)$ etex, 1.6[G,K]);\n\nfin;\n\n<\/pre>\n<hr \/>\n<p><strong>Les m\u00e9diatrices<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-553\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_droites2.jpg\" alt=\"droites2.jpg\" width=\"335\" height=\"313\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_droites2.jpg 335w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_droites2-300x280.jpg 300w\" sizes=\"auto, (max-width: 335px) 100vw, 335px\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfigure (-u,-3u,8u,6u);\npair A,B,C,K,I,J;\npair O;\n\nA=(0,0);\nB=(2u,5u);\nC=(7u,-u);\nI=0.5[C,B];\nJ=0.5[A,C];\nK=0.5[A,B];\n\ndraw A--B--C--cycle;\n\nO=CentreCercleC(A,B,C);   %centre du ercle circonscrit\n\ntrace codesegments(A,K,K,B,2);\ntrace codesegments(C,I,I,B,1);\ntrace codesegments(A,J,J,C,3);\n\ndraw droite(I,O) withcolor red;\n% draw mediatrice(B,C) withcolor red;\ndraw droite(J,O) withcolor red;\ndraw droite(K,O) withcolor red;\n\ntrace codeperp(O,I,C,5);\ntrace codeperp(A,J,O,5);\ntrace codeperp(O,K,A,5);\n\n\ndraw cercles(O,A) withcolor blue;\n\nmarque_p:=\"rien\";\nlabel.llft(btex $A$ etex,A);\nlabel.ulft(btex $B$ etex,B);\nlabel.lrt(btex $C$ etex,C);\nlabel.top(btex $I$ etex,I);\nlabel.llft(btex $J$ etex,J);\nlabel.ulft(btex $K$ etex,K);\nlabel.urt(btex $O$ etex,O);\n\n\nlabel.ulft(btex $(d_1)$ etex, 2.5[O,I]);\nlabel.ulft(btex $(d_2)$ etex, 1.7[O,J]);\nlabel.llft(btex $(d_3)$ etex, 1.4[O,K]);\n<\/pre>\n<hr \/>\n<p><strong>Les hauteurs<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-554\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_droites3.jpg\" alt=\"droites3.jpg\" width=\"338\" height=\"289\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_droites3.jpg 338w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_droites3-300x257.jpg 300w\" sizes=\"auto, (max-width: 338px) 100vw, 338px\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfigure (-u,-2u,8u,6u);\npair A,B,C,AA,BB,CC,H;\n\nA=(0,0);\nB=(2u,5u);\nC=(7u,-u);\nAA=projection(A,B,C);\nBB=projection(B,A,C);\nCC=projection(C,B,A);\n\nH=Orthocentre(A,B,C);     % orthocentre\n\ndraw A--B--C--cycle;\ndraw droite(A,AA) withcolor red;\ndraw droite(B,BB) withcolor red;\ndraw droite(C,CC) withcolor red;\n\ntrace codeperp(A,AA,B,5);\ntrace codeperp(B,BB,C,5);\ntrace codeperp(C,CC,A,5);\n\nmarque_p:=\"rien\";\nlabel.ulft(btex $A$ etex,A);\nlabel.urt(btex $B$ etex,B);\nlabel.bot(btex $C$ etex,C);\nlabel.rt(btex $H$ etex,H);\n\n\nlabel.ulft(btex $(d_1)$ etex, 3.2[A,H]);\nlabel.urt(btex $(d_2)$ etex, 1.6[B,H]);\nlabel.urt(btex $(d_3)$ etex, 1.4[C,H]);\n\n\nfin;<\/pre>\n<hr \/>\n<p><strong>Les bissectrices<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-555\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_droites4.jpg\" alt=\"droites4.jpg\" width=\"329\" height=\"285\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_droites4.jpg 329w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_droites4-300x260.jpg 300w\" sizes=\"auto, (max-width: 329px) 100vw, 329px\" \/><\/p>\n<p>Voici son code :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">u:=1cm;\nfigure (-u,-2u,8u,6u);\npair A,B,C,I,P,Q,R;\n\nA=(0,0);\nB=(2u,5u);\nC=(7u,-u);\nI=CentreCercleI(A,B,C);   % centre du cercle inscrit\n\ndraw A--B--C--cycle;\ndraw droite(A,I) withcolor red;\ndraw droite(B,I) withcolor red;\ndraw droite(C,I) withcolor red;\n\nP=projection(I,A,B);\nQ=projection(I,B,C);\nR=projection(I,A,C);\n\ndraw I--P dashed withdots;\ndraw I--Q dashed withdots;\ndraw I--R dashed withdots;\n\ntrace codeperp(I,P,A,5);\ntrace codeperp(I,Q,B,5);\ntrace codeperp(I,R,C,5);\n\ntrace cercles(I,P) withcolor blue;\n\n\nmarque_p:=\"rien\";\nlabel.ulft(btex $A$ etex,A);\nlabel.urt(btex $B$ etex,B);\nlabel.bot(btex $C$ etex,C);\nlabel.urt(btex $I$ etex,I);\n\n\nlabel.ulft(btex $(d_1)$ etex, 2.2[A,I]);\nlabel.urt(btex $(d_2)$ etex, 2[B,I]);\nlabel.urt(btex $(d_3)$ etex, 1.7[C,I]);\n\ntrace marqueangle(C,A,I,1);\ntrace marqueangle(I,A,B,1);\n\ntrace marqueangle(B,C,I,2);\ntrace marqueangle(I,C,A,2);\n\ntrace marqueangle(A,B,I,3);\ntrace marqueangle(I,B,C,3);\n\n\nfin;<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Les m\u00e9dianes Voici son code : u:=1cm; figure (-u,-2u,8u,6u); pair A,B,C,I,J,K,G; A=(0,0); B=(2u,5u); C=(7u,-u); I=0.5[B,C]; %I:=milieu(B,C); J=0.5[A,C]; K=0.5[B,A]; G=whatever[A,I]=whatever[B,J]; %centre de gravit\u00e9 %G:=(A+B+C)\/3; %G:=iso(A,B,C); draw A&#8211;B&#8211;C&#8211;cycle; draw droite(A,I) withcolor red;&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2412,"menu_order":7,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-60","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>Les droites remarquables - 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\" href=\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/figures-geometriques\/les-droites-remarquables\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Les droites remarquables - Maths &amp; Num\u00e9rique\" \/>\n<meta property=\"og:description\" content=\"Les m\u00e9dianes Voici son code : u:=1cm; figure (-u,-2u,8u,6u); pair A,B,C,I,J,K,G; A=(0,0); B=(2u,5u); C=(7u,-u); I=0.5[B,C]; %I:=milieu(B,C); J=0.5[A,C]; K=0.5[B,A]; G=whatever[A,I]=whatever[B,J]; %centre de gravit\u00e9 %G:=(A+B+C)\/3; %G:=iso(A,B,C); draw A--B--C--cycle; draw droite(A,I) withcolor red;&hellip;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/figures-geometriques\/les-droites-remarquables\/\" \/>\n<meta property=\"og:site_name\" content=\"Maths &amp; Num\u00e9rique\" \/>\n<meta property=\"article:modified_time\" content=\"2023-10-14T18:12:43+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/05\/jpg_droites1.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/figures-geometriques\/les-droites-remarquables\/\",\"url\":\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/figures-geometriques\/les-droites-remarquables\/\",\"name\":\"Les droites remarquables - Maths &amp; 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