{"id":38840,"date":"2024-06-17T15:21:31","date_gmt":"2024-06-17T13:21:31","guid":{"rendered":"https:\/\/www.swisslearn.org\/?p=38840"},"modified":"2024-06-26T10:39:11","modified_gmt":"2024-06-26T08:39:11","slug":"partie-visible-dune-droite-exemple-n-3","status":"publish","type":"post","link":"https:\/\/www.swisslearn.org\/?p=38840","title":{"rendered":"Partie visible d&rsquo;une droite: exemple n\u00b0 3"},"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>, <a href=\"https:\/\/www.swisslearn.org\/?p=38836\">2<\/a>, 3, <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\/kpfhukyt\/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<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\left\\{\\begin{matrix}&amp;space;x=5-5k&amp;space;\\\\&amp;space;y=6k&amp;space;\\\\&amp;space;z=1+6k&amp;space;\\end{matrix}\\right.\" alt=\"\\left\\{\\begin{matrix} x=5-5k \\\\ y=6k \\\\ z=1+6k \\end{matrix}\\right.\" align=\"absmiddle\" \/><\/p>\n<p><strong>Point P, intersection avec le sol (z = 0):<\/strong><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?P&amp;space;\\in&amp;space;Sol&amp;space;\\Rightarrow&amp;space;z=0\" alt=\"P \\in Sol \\Rightarrow z=0\" align=\"absmiddle\" \/>.\u00a0<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\Rightarrow&amp;space;1+6k=0&amp;space;\\Rightarrow&amp;space;k=-\\frac{1}{6}\" alt=\"\\Rightarrow 1+6k=0 \\Rightarrow k=-\\frac{1}{6}\" align=\"absmiddle\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\Rightarrow&amp;space;y=6\\cdot&amp;space;(-\\frac{1}{6})=-1\" alt=\"\\Rightarrow y=6\\cdot (-\\frac{1}{6})=-1\" align=\"absmiddle\" \/><\/p>\n<p>L&rsquo;ordonn\u00e9e y du point d&rsquo;intersection est n\u00e9gative. La droite <em>d<\/em> coupe le sol derri\u00e8re la paroi. Ce point ne nous sert pas pour d\u00e9terminer le segment visible de la droite.\u00a0\u00a0<\/p>\n<p><strong>Point B, intersection avec le mur (x = 0):<\/strong><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?B&amp;space;\\in&amp;space;Mur&amp;space;\\Rightarrow&amp;space;x=0\" alt=\"B \\in Mur \\Rightarrow x=0\" align=\"absmiddle\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\Rightarrow&amp;space;5-5k=0&amp;space;\\Rightarrow&amp;space;k=1\" alt=\"\\Rightarrow 5-5k=0 \\Rightarrow k=1\" align=\"absmiddle\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\Rightarrow&amp;space;y=6\\cdot&amp;space;1=6\" alt=\"\\Rightarrow y=6\\cdot 1=6\" align=\"absmiddle\" \/> \u00a0 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?z=1+6\\cdot&amp;space;1=7\" alt=\"z=1+6\\cdot 1=7\" align=\"absmiddle\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?B(0;&amp;space;6;&amp;space;7)\" alt=\"B(0; 6; 7)\" align=\"absmiddle\" \/><\/p>\n<p><strong>Point A, 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;6k=0&amp;space;\\Rightarrow&amp;space;k=0\" alt=\"\\Rightarrow 6k=0 \\Rightarrow k=0\" align=\"absmiddle\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\Rightarrow&amp;space;x=5-5\\cdot&amp;space;0=5\" alt=\"\\Rightarrow x=5-5\\cdot 0=5\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?z=1+6\\cdot&amp;space;0=1\" alt=\"z=1+6\\cdot 0=1\" align=\"absmiddle\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?A(5;&amp;space;0;&amp;space;1)\" alt=\"A(5; 0; 1)\" align=\"absmiddle\" \/> \u00a0<\/p>\n<p>Cette droite coupe le mur au point A(0; 6; 7) et la paroi au point B (5; 0; 1). 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","protected":false},"excerpt":{"rendered":"<p>Exemples n\u00b0 1, 2, 3, 4, 5, 6, 7 Point P, intersection avec le sol (z = 0): .\u00a0 L&rsquo;ordonn\u00e9e y du point d&rsquo;intersection est n\u00e9gative. La droite d coupe le sol derri\u00e8re la paroi. Ce point ne nous sert pas pour d\u00e9terminer le segment visible de la droite.\u00a0\u00a0 Point B, intersection avec le 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-38840","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 P, intersection avec le sol (z = 0): .\u00a0 L&rsquo;ordonn\u00e9e y du point d&rsquo;intersection est n\u00e9gative. La droite d coupe le sol derri\u00e8re la paroi. Ce point ne nous sert pas pour d\u00e9terminer le segment visible de la droite.\u00a0\u00a0 Point B, intersection avec le mur\u2026","_links":{"self":[{"href":"https:\/\/www.swisslearn.org\/index.php?rest_route=\/wp\/v2\/posts\/38840"}],"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=38840"}],"version-history":[{"count":11,"href":"https:\/\/www.swisslearn.org\/index.php?rest_route=\/wp\/v2\/posts\/38840\/revisions"}],"predecessor-version":[{"id":39120,"href":"https:\/\/www.swisslearn.org\/index.php?rest_route=\/wp\/v2\/posts\/38840\/revisions\/39120"}],"wp:attachment":[{"href":"https:\/\/www.swisslearn.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=38840"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.swisslearn.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=38840"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.swisslearn.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=38840"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}