Examen de algèbre 1 MIP (SMIA) S1

Examen de algèbre 1 MIP (SMIA) S1

Examen oujda :

Examen N°1 : cliquer ici

Examen N°2 : cliquer ici

Examen N°3 : cliquer ici

Examen N°4 : cliquer ici

Examen N°5 : cliquer ici

Examen N°6: cliquer ici

Examen N°7 : cliquer ici

Examen N°8 : cliquer ici

Examen N°9 : cliquer ici

Examen N°10 : cliquer ici

Examen N°11 : cliquer ici

Examen N°12 : cliquer ici

Examen N°13 : cliquer ici

Examen N°14 : cliquer ici

Examen N°15 : cliquer ici

Examen N°16 : cliquer ici

Examen N°17 : cliquer ici

Examen N°18 : cliquer ici

Examen N°19 : cliquer ici

Examen N°20 : cliquer ici

Examen N°21 : cliquer ici

Examen agadir :

Examen N°1 : cliquer ici

Examen N°2 : cliquer ici

Examen N°3 : cliquer ici

Examen tetouan:

Examen N°1 : cliquer ici

Examen N°2 : cliquer ici

Examen N°3 : cliquer ici

Eléments de logique et méthodes de démonstration

Eléments de logique

Assertions Dénition

Une assertion p (ou proposition) est une phrase déclarative exclusivement vraie ou fausse.

Ensembles, applications et relations binaires

On rappelle qu'un ensemble est, intuitivement, une collection E d'objets. Ces objets s'appellent les éléments de l'ensemble E. Le long de ce chapitre, E, F, G et H désignent des ensembles quelconques

Opérations sur les ensembles

Parties d'un ensemble Dénition

on dit que F est inclus dans E ou que F est une partie de E si tout élément de F est élément de E. On dira aussi que F est contenu dans E ou que F est un sous-ensemble de E. On écrit F ⊂ E ou encore E ⊃ F.

Arithmétique dans Z

Ensemble des entiers naturels

Dénitions

On admet l'existence d'un ensemble ordonné non vide (N, ≤) vériant les trois propriétés suivantes : i) Toute partie non vide de N possède un plus petit élément. ii) Toute partie non vide majorée de N possède un plus grand élément. iii) N n'a pas de plus grand élément.

Commentaires

Enregistrer un commentaire

window['__wavt'] = 'AOuZoY51UoEiHnQ5Xhs-txDQjPCxOgOoXw:1747956933136';_WidgetManager._Init('//www.blogger.com/rearrange?blogID\x3d7953030349935675467','//www.exomaroc.com/2023/09/examen-de-algebre-1-mip-smia-s1.html','7953030349935675467'); _WidgetManager._SetDataContext([{'name': 'blog', 'data': {'blogId': '7953030349935675467', 'title': 'exomaroc', 'url': 'https://www.exomaroc.com/2023/09/examen-de-algebre-1-mip-smia-s1.html', 'canonicalUrl': 'https://www.exomaroc.com/2023/09/examen-de-algebre-1-mip-smia-s1.html', 'homepageUrl': 'https://www.exomaroc.com/', 'searchUrl': 'https://www.exomaroc.com/search', 'canonicalHomepageUrl': 'https://www.exomaroc.com/', 'blogspotFaviconUrl': 'https://www.exomaroc.com/favicon.ico', 'bloggerUrl': 'https://www.blogger.com', 'hasCustomDomain': true, 'httpsEnabled': true, 'enabledCommentProfileImages': true, 'gPlusViewType': 'FILTERED_POSTMOD', 'adultContent': false, 'analyticsAccountNumber': 'UA-131160742-1', 'encoding': 'UTF-8', 'locale': 'fr', 'localeUnderscoreDelimited': 'fr', 'languageDirection': 'ltr', 'isPrivate': false, 'isMobile': false, 'isMobileRequest': false, 'mobileClass': '', 'isPrivateBlog': false, 'isDynamicViewsAvailable': true, 'feedLinks': '\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22exomaroc - Atom\x22 href\x3d\x22https://www.exomaroc.com/feeds/posts/default\x22 /\x3e\n\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/rss+xml\x22 title\x3d\x22exomaroc - RSS\x22 href\x3d\x22https://www.exomaroc.com/feeds/posts/default?alt\x3drss\x22 /\x3e\n\x3clink rel\x3d\x22service.post\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22exomaroc - Atom\x22 href\x3d\x22https://www.blogger.com/feeds/7953030349935675467/posts/default\x22 /\x3e\n\n\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22exomaroc - Atom\x22 href\x3d\x22https://www.exomaroc.com/feeds/5109475304812850248/comments/default\x22 /\x3e\n', 'meTag': '', 'adsenseClientId': 'ca-pub-9818090777160731', 'adsenseHostId': 'ca-host-pub-1556223355139109', 'adsenseHasAds': false, 'adsenseAutoAds': false, 'boqCommentIframeForm': true, 'loginRedirectParam': '', 'view': '', 'dynamicViewsCommentsSrc': '//www.blogblog.com/dynamicviews/4224c15c4e7c9321/js/comments.js', 'dynamicViewsScriptSrc': '//www.blogblog.com/dynamicviews/f0af41f008e627c8', 'plusOneApiSrc': 'https://apis.google.com/js/platform.js', 'disableGComments': true, 'interstitialAccepted': false, 'sharing': {'platforms': [{'name': 'Obtenir le lien', 'key': 'link', 'shareMessage': 'Obtenir le lien', 'target': ''}, {'name': 'Facebook', 'key': 'facebook', 'shareMessage': 'Partager sur Facebook', 'target': 'facebook'}, {'name': 'BlogThis!', 'key': 'blogThis', 'shareMessage': 'BlogThis!', 'target': 'blog'}, {'name': 'X', 'key': 'twitter', 'shareMessage': 'Partager sur X', 'target': 'twitter'}, {'name': 'Pinterest', 'key': 'pinterest', 'shareMessage': 'Partager sur Pinterest', 'target': 'pinterest'}, {'name': 'E-mail', 'key': 'email', 'shareMessage': 'E-mail', 'target': 'email'}], 'disableGooglePlus': true, 'googlePlusShareButtonWidth': 0, 'googlePlusBootstrap': '\x3cscript type\x3d\x22text/javascript\x22\x3ewindow.___gcfg \x3d {\x27lang\x27: \x27fr\x27};\x3c/script\x3e'}, 'hasCustomJumpLinkMessage': false, 'jumpLinkMessage': 'Lire la suite', 'pageType': 'item', 'postId': '5109475304812850248', 'postImageThumbnailUrl': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9qj_g2TRtjnZrn4vk4aaCUfkZ038PY88ytld4ld_BJw0PSFvJyZeRrYCACLm_Hbnbl-_yHq71lJ5_V1w_H9qXSmPPphMAN7_PBt7xv3hIFV0-Pd-UyHrVwNMzTduax4D6dd8003gCfR4/s72-c/learn-1044078_1920.jpg', 'postImageUrl': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9qj_g2TRtjnZrn4vk4aaCUfkZ038PY88ytld4ld_BJw0PSFvJyZeRrYCACLm_Hbnbl-_yHq71lJ5_V1w_H9qXSmPPphMAN7_PBt7xv3hIFV0-Pd-UyHrVwNMzTduax4D6dd8003gCfR4/s640/learn-1044078_1920.jpg', 'pageName': 'Examen de alg\xe8bre 1 MIP (SMIA) S1', 'pageTitle': 'exomaroc: Examen de alg\xe8bre 1 MIP (SMIA) S1'}}, {'name': 'features', 'data': {}}, {'name': 'messages', 'data': {'edit': 'Modifier', 'linkCopiedToClipboard': 'Lien copi\xe9 dans le presse-papiers\xa0!', 'ok': 'OK', 'postLink': 'Publier le lien'}}, {'name': 'template', 'data': {'name': 'custom', 'localizedName': 'Personnaliser', 'isResponsive': true, 'isAlternateRendering': false, 'isCustom': true}}, {'name': 'view', 'data': {'classic': {'name': 'classic', 'url': '?view\x3dclassic'}, 'flipcard': {'name': 'flipcard', 'url': '?view\x3dflipcard'}, 'magazine': {'name': 'magazine', 'url': '?view\x3dmagazine'}, 'mosaic': {'name': 'mosaic', 'url': '?view\x3dmosaic'}, 'sidebar': {'name': 'sidebar', 'url': '?view\x3dsidebar'}, 'snapshot': {'name': 'snapshot', 'url': '?view\x3dsnapshot'}, 'timeslide': {'name': 'timeslide', 'url': '?view\x3dtimeslide'}, 'isMobile': false, 'title': 'Examen de alg\xe8bre 1 MIP (SMIA) S1', 'description': '\xa0 Examen\xa0 de\xa0 \xa0alg\xe8bre 1 MIP (SMIA)\xa0 S1 Examen\xa0 oujda\xa0 \xa0:\xa0 Examen N\xb01 :\xa0 cliquer ici\xa0 Examen N\xb02 :\xa0 cliquer ici Examen N\xb03 :\xa0 cliquer ici Ex...', 'featuredImage': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9qj_g2TRtjnZrn4vk4aaCUfkZ038PY88ytld4ld_BJw0PSFvJyZeRrYCACLm_Hbnbl-_yHq71lJ5_V1w_H9qXSmPPphMAN7_PBt7xv3hIFV0-Pd-UyHrVwNMzTduax4D6dd8003gCfR4/s640/learn-1044078_1920.jpg', 'url': 'https://www.exomaroc.com/2023/09/examen-de-algebre-1-mip-smia-s1.html', 'type': 'item', 'isSingleItem': true, 'isMultipleItems': false, 'isError': false, 'isPage': false, 'isPost': true, 'isHomepage': false, 'isArchive': false, 'isLabelSearch': false, 'postId': 5109475304812850248}}, {'name': 'widgets', 'data': [{'title': 'Math\xe9matiques', 'type': 'HTML', 'sectionId': 'TopPost-sc', 'id': 'HTML4'}, {'title': 'PHYSIQUE', 'type': 'HTML', 'sectionId': 'TopPost-sc', 'id': 'HTML3'}, {'title': 'CHIMIE', 'type': 'HTML', 'sectionId': 'TopPost-sc', 'id': 'HTML5'}, {'title': 'INFORMATIQUE', 'type': 'HTML', 'sectionId': 'TopPost-sc', 'id': 'HTML6'}, {'title': 'exomaroc (en-t\xeate)', 'type': 'Header', 'sectionId': 'logo', 'id': 'Header1'}, {'title': '\u0627\u0644\u0635\u0641\u062d\u0627\u062a', 'type': 'PageList', 'sectionId': 'pages', 'id': 'PageList1'}, {'title': '\u0645\u0648\u0627\u0642\u0639 \u0627\u0644\u062a\u0648\u0627\u0635\u0644 \u0627\u0644\u0627\u062c\u062a\u0645\u0627\u0639\u064a', 'type': 'LinkList', 'sectionId': 'topsocialL', 'id': 'LinkList3'}, {'title': '\u0627\u0644\u0642\u0627\u0626\u0645\u0629 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629', 'type': 'LinkList', 'sectionId': 'menu', 'id': 'LinkList001'}, {'title': '\u0628\u062d\u062b ...', 'type': 'BlogSearch', 'sectionId': 'searchform', 'id': 'BlogSearch2'}, {'title': '\u0623\u0642\u0633\u0627\u0645 \u0627\u0644\u0648\u0635\u0648\u0644 \u0627\u0644\u0633\u0631\u064a\u0639 (\u0645\u0631\u0628\u0639 \u0627\u0644\u0628\u062d\u062b)', 'type': 'Label', 'sectionId': 'searchform', 'id': 'Label002'}, {'title': 'Articles du blog', 'type': 'Blog', 'sectionId': 'Tempnec', 'id': 'Blog1', 'posts': [{'id': '5109475304812850248', 'title': 'Examen de alg\xe8bre 1 MIP (SMIA) S1', 'featuredImage': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9qj_g2TRtjnZrn4vk4aaCUfkZ038PY88ytld4ld_BJw0PSFvJyZeRrYCACLm_Hbnbl-_yHq71lJ5_V1w_H9qXSmPPphMAN7_PBt7xv3hIFV0-Pd-UyHrVwNMzTduax4D6dd8003gCfR4/s640/learn-1044078_1920.jpg', 'showInlineAds': false}], 'footerBylines': [{'regionName': 'footer1', 'items': [{'name': 'author', 'label': '\u0643\u062a\u0628:'}, {'name': 'timestamp', 'label': '-'}, {'name': 'comments', 'label': 'comments'}, {'name': 'icons', 'label': ''}, {'name': 'share', 'label': ''}]}, {'regionName': 'footer2', 'items': [{'name': 'labels', 'label': ''}]}], 'allBylineItems': [{'name': 'author', 'label': '\u0643\u062a\u0628:'}, {'name': 'timestamp', 'label': '-'}, {'name': 'comments', 'label': 'comments'}, {'name': 'icons', 'label': ''}, {'name': 'share', 'label': ''}, {'name': 'labels', 'label': ''}]}, {'title': '', 'type': 'HTML', 'sectionId': 'sidepar', 'id': 'HTML7'}, {'title': 'Libell\xe9s', 'type': 'Label', 'sectionId': 'sidepar', 'id': 'Label1'}, {'title': '\u0625\u0639\u0644\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u0642\u0627\u0644 \u0623\u0633\u0627\u0633\u064a', 'type': 'LinkList', 'sectionId': 'PostA3lan', 'id': 'LinkList005'}, {'title': 'BlogArchive', 'type': 'BlogArchive', 'sectionId': 'sitting', 'id': 'BlogArchive400'}, {'title': 'BlogAuthors', 'type': 'Profile', 'sectionId': 'sitting', 'id': 'Profile400'}, {'title': '\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u062a\u0635\u0627\u0644', 'type': 'ContactForm', 'sectionId': 'AddOns', 'id': 'ContactForm200'}]}]); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML4', 'TopPost-sc', document.getElementById('HTML4'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML3', 'TopPost-sc', document.getElementById('HTML3'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML5', 'TopPost-sc', document.getElementById('HTML5'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML6', 'TopPost-sc', document.getElementById('HTML6'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HeaderView', new _WidgetInfo('Header1', 'logo', document.getElementById('Header1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_PageListView', new _WidgetInfo('PageList1', 'pages', document.getElementById('PageList1'), {'title': '\u0627\u0644\u0635\u0641\u062d\u0627\u062a', 'links': [{'isCurrentPage': false, 'href': 'https://www.exomaroc.com/p/blog-page_30.html', 'id': '2004772087740908247', 'title': 'CONTACT US'}, {'isCurrentPage': false, 'href': 'https://www.exomaroc.com/p/blog-page_18.html', 'id': '346573347584467506', 'title': '\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0647\u0627\u0645\u0629 \u062d\u0648\u0644 \u0627\u0644\u0625\u0634\u062a\u0631\u0627\u0643 \u0641\u064a \u0627\u0644\u0639\u0631\u0636'}, {'isCurrentPage': false, 'href': 'https://www.exomaroc.com/p/privacy-policy-we-respect-your-privacy.html', 'id': '4726270782237836249', 'title': 'Privacy Policy'}], 'mobile': false, 'showPlaceholder': true, 'hasCurrentPage': false}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList3', 'topsocialL', document.getElementById('LinkList3'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList001', 'menu', document.getElementById('LinkList001'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogSearchView', new _WidgetInfo('BlogSearch2', 'searchform', document.getElementById('BlogSearch2'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LabelView', new _WidgetInfo('Label002', 'searchform', document.getElementById('Label002'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogView', new _WidgetInfo('Blog1', 'Tempnec', document.getElementById('Blog1'), {'cmtInteractionsEnabled': false, 'lightboxEnabled': true, 'lightboxModuleUrl': 'https://www.blogger.com/static/v1/jsbin/1828293616-lbx__fr.js', 'lightboxCssUrl': 'https://www.blogger.com/static/v1/v-css/3681588378-lightbox_bundle.css'}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML7', 'sidepar', document.getElementById('HTML7'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LabelView', new _WidgetInfo('Label1', 'sidepar', document.getElementById('Label1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList005', 'PostA3lan', document.getElementById('LinkList005'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogArchiveView', new _WidgetInfo('BlogArchive400', 'sitting', document.getElementById('BlogArchive400'), {'languageDirection': 'ltr', 'loadingMessage': 'Chargement\x26hellip;'}, 'displayModeFull')); _WidgetManager._RegisterWidget('_ProfileView', new _WidgetInfo('Profile400', 'sitting', document.getElementById('Profile400'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_ContactFormView', new _WidgetInfo('ContactForm200', 'AddOns', document.getElementById('ContactForm200'), {'contactFormMessageSendingMsg': 'Envoi en cours...', 'contactFormMessageSentMsg': 'Votre message a \xe9t\xe9 envoy\xe9.', 'contactFormMessageNotSentMsg': 'Impossible d\x27envoyer le message. Veuillez r\xe9essayer ult\xe9rieurement.', 'contactFormInvalidEmailMsg': 'Veuillez indiquer une adresse e-mail valide.', 'contactFormEmptyMessageMsg': 'Le champ de message doit \xeatre renseign\xe9.', 'title': '\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u062a\u0635\u0627\u0644', 'blogId': '7953030349935675467', 'contactFormNameMsg': 'Nom', 'contactFormEmailMsg': 'E-mail', 'contactFormMessageMsg': 'Message', 'contactFormSendMsg': 'Envoyer', 'contactFormToken': 'AOuZoY5AbATFyWtHVR3VeKyXUqkPicW7yA:1747956933137', 'submitUrl': 'https://www.blogger.com/contact-form.do'}, 'displayModeFull'));