{"id":38836,"date":"2024-06-17T15:18:50","date_gmt":"2024-06-17T13:18:50","guid":{"rendered":"https:\/\/www.swisslearn.org\/?p=38836"},"modified":"2024-06-26T13:35:00","modified_gmt":"2024-06-26T11:35:00","slug":"partie-visible-dune-droite-exemple-n-2","status":"publish","type":"post","link":"https:\/\/www.swisslearn.org\/?p=38836","title":{"rendered":"Partie visible d&rsquo;une droite: exemple n\u00b0 2"},"content":{"rendered":"\n<p><a href=\"https:\/\/www.swisslearn.org\/?p=38803\">Exemples<\/a> n\u00b0 <a href=\"https:\/\/www.swisslearn.org\/?p=38825\">1<\/a>, 2, <a href=\"https:\/\/www.swisslearn.org\/?p=38840\">3<\/a>, <a href=\"https:\/\/www.swisslearn.org\/?p=38844\">4<\/a>, <a href=\"https:\/\/www.swisslearn.org\/?p=38852\">5<\/a>, <a href=\"https:\/\/www.swisslearn.org\/?p=38854\">6<\/a>, <a href=\"https:\/\/www.swisslearn.org\/?p=38858\">7<\/a><iframe loading=\"lazy\" style=\"border: 0px;\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/wwqpgqj3\/width\/1200\/height\/715\/border\/888888\/rc\/true\/ai\/false\/sdz\/true\/smb\/false\/stb\/false\/stbh\/true\/ld\/false\/sri\/false\/sfsb\/true\" width=\"1600px\" height=\"715px\" scrolling=\"no\" allowfullscreen=\"allowfullscreen\" data-mce-fragment=\"1\"><br \/><\/iframe><\/p>\n\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\left\\{\\begin{matrix}&amp;space;x=2&amp;space;\\\\&amp;space;y=6+3k&amp;space;\\\\&amp;space;z=-2k&amp;space;\\end{matrix}\\right.\" alt=\"\\left\\{\\begin{matrix} x=2 \\\\ y=6+3k \\\\ z=-2k \\end{matrix}\\right.\" align=\"absmiddle\" \/><\/p>\n<p><strong>Point A, intersection avec le sol (z = 0):<\/strong><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?A&amp;space;\\in&amp;space;Sol&amp;space;\\Rightarrow&amp;space;z=0\" alt=\"A \\in Sol \\Rightarrow z=0\" align=\"absmiddle\" \/>.\u00a0<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\Rightarrow&amp;space;-2k=0&amp;space;\\Rightarrow&amp;space;k=0\" alt=\"\\Rightarrow -2k=0 \\Rightarrow k=0\" align=\"absmiddle\" \/>.\u00a0<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\Rightarrow&amp;space;y=6+3\\cdot&amp;space;0=6\" alt=\"\\Rightarrow y=6+3\\cdot 0=6\" align=\"absmiddle\" \/>.\u00a0<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?A(2;&amp;space;6;&amp;space;0)\" alt=\"A(2; 6; 0)\" align=\"absmiddle\" \/> \u00a0<\/p>\n<p><strong>Intersection avec le mur (x = 0):<\/strong><\/p>\n<p>Tous les points de cette droite ont un x = 2 ( voir l&rsquo;\u00e9quation de la droite). Cela signifie que cette droite est parall\u00e8le au mur et qu&rsquo;il n&rsquo;y a pas de point d&rsquo;intersection avec le mur. Il faut donc chercher le point d&rsquo;intersection avec la paroi.<\/p>\n<p><strong>Point B, intersection avec la paroi (y = 0):<\/strong><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?A&amp;space;\\in&amp;space;Paroi&amp;space;\\Rightarrow&amp;space;y=0\" alt=\"A \\in Paroi \\Rightarrow y=0\" align=\"absmiddle\" \/>.\u00a0<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\Rightarrow&amp;space;6+3k=0&amp;space;\\Rightarrow&amp;space;k=-2\" alt=\"\\Rightarrow 6+3k=0 \\Rightarrow k=-2\" align=\"absmiddle\" \/>.\u00a0<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\Rightarrow&amp;space;z=-2\\cdot&amp;space;(-2)=4\" alt=\"\\Rightarrow z=-2\\cdot (-2)=4\" align=\"absmiddle\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?B(2;&amp;space;4;&amp;space;0)\" alt=\"B(2; 4; 0)\" align=\"absmiddle\" \/> \u00a0\u00a0\u00a0<\/p>\n<p>Cette droite coupe le sol au point A(2; 6; 0) et la paroi au point B (2; 4; 0). Le segment AB c&rsquo;est la partie visible de la droite <em>d.<\/em> Cliquez sur \u00ab\u00a0Partie visible\u00a0\u00bb pour voir ces points et la partie visible de cette droite.<\/p>\n<p>\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Exemples n\u00b0 1, 2, 3, 4, 5, 6, 7 Point A, intersection avec le sol (z = 0): .\u00a0 .\u00a0 .\u00a0 \u00a0 Intersection avec le mur (x = 0): Tous les points de cette droite ont un x = 2 ( voir l&rsquo;\u00e9quation de la droite). Cela signifie que cette droite est parall\u00e8le au mur [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"off","_et_pb_old_content":"","_et_gb_content_width":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[10,58],"tags":[],"class_list":["post-38836","post","type-post","status-publish","format-standard","hentry","category-geometrie","category-geometrie-de-lespace"],"blocksy_meta":"","rttpg_featured_image_url":null,"rttpg_author":{"display_name":"Bahram Zaerpour","author_link":"https:\/\/www.swisslearn.org\/?author=1"},"rttpg_comment":0,"rttpg_category":"<a href=\"https:\/\/www.swisslearn.org\/?cat=10\" rel=\"category\">G\u00e9om\u00e9trie<\/a> <a href=\"https:\/\/www.swisslearn.org\/?cat=58\" rel=\"category\">G\u00e9om\u00e9trie de l'espace<\/a>","rttpg_excerpt":"Exemples n\u00b0 1, 2, 3, 4, 5, 6, 7 Point A, intersection avec le sol (z = 0): .\u00a0 .\u00a0 .\u00a0 \u00a0 Intersection avec le mur (x = 0): Tous les points de cette droite ont un x = 2 ( voir l&rsquo;\u00e9quation de la droite). Cela signifie que cette droite est parall\u00e8le au mur\u2026","_links":{"self":[{"href":"https:\/\/www.swisslearn.org\/index.php?rest_route=\/wp\/v2\/posts\/38836"}],"collection":[{"href":"https:\/\/www.swisslearn.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.swisslearn.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.swisslearn.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.swisslearn.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=38836"}],"version-history":[{"count":10,"href":"https:\/\/www.swisslearn.org\/index.php?rest_route=\/wp\/v2\/posts\/38836\/revisions"}],"predecessor-version":[{"id":39136,"href":"https:\/\/www.swisslearn.org\/index.php?rest_route=\/wp\/v2\/posts\/38836\/revisions\/39136"}],"wp:attachment":[{"href":"https:\/\/www.swisslearn.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=38836"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.swisslearn.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=38836"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.swisslearn.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=38836"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}