{"id":22678,"date":"2026-02-23T09:25:28","date_gmt":"2026-02-23T14:25:28","guid":{"rendered":"https:\/\/www.dhct.academy\/?post_type=lp_course&p=22678"},"modified":"2026-04-27T10:31:27","modified_gmt":"2026-04-27T14:31:27","slug":"cours-de-mathematiques-ns4","status":"publish","type":"lp_course","link":"https:\/\/www.dhct.academy\/fr\/courses\/cours-de-mathematiques-ns4\/","title":{"rendered":"Cours de Math\u00e9matiques NS4"},"content":{"rendered":"

\ud83d\udcd8<\/b> Plan de Cours \u2013 Math\u00e9matiques NS4<\/b><\/h1>\n

\ud83d\udc68<\/b>\u200d<\/b>\ud83c\udfeb<\/b> Professeur Ilfrene Wedly<\/b><\/p>\n

\ud83c\udfaf<\/b> Objectif du cours<\/b><\/p>\n

Le cours de <\/span>Math\u00e9matiques NS4<\/b> vise \u00e0 :<\/span><\/p>\n

    \n
  • Consolider les bases math\u00e9matiques essentielles du secondaire<\/span><\/li>\n
  • D\u00e9velopper la rigueur logique et la capacit\u00e9 de d\u00e9monstration<\/span><\/li>\n
  • Ma\u00eetriser les outils analytiques n\u00e9cessaires \u00e0 la r\u00e9solution de probl\u00e8mes<\/span><\/li>\n
  • Pr\u00e9parer efficacement les \u00e9l\u00e8ves aux examens officiels (type Baccalaur\u00e9at)<\/span><\/li>\n
  • Favoriser l\u2019autonomie intellectuelle et la m\u00e9thode scientifique<\/span><\/li>\n<\/ul>\n

    \u00c0 la fin du programme, l\u2019\u00e9l\u00e8ve sera capable d\u2019analyser, mod\u00e9liser et r\u00e9soudre des probl\u00e8mes complexes dans diff\u00e9rents domaines math\u00e9matiques.<\/span><\/p>\n

    \ud83d\udcdd<\/b> R\u00e9sum\u00e9 du cours<\/b><\/p>\n

    Le programme de <\/span>Math\u00e9matiques NS4<\/b> est structur\u00e9 autour de <\/span>8 grandes branches fondamentales<\/b> couvrant l\u2019alg\u00e8bre, l\u2019analyse, la g\u00e9om\u00e9trie, les probabilit\u00e9s et l\u2019arithm\u00e9tique.<\/span><\/p>\n

    Chaque branche est \u00e9tudi\u00e9e de mani\u00e8re progressive :<\/span><\/p>\n

      \n
    • Rappels th\u00e9oriques<\/span><\/li>\n
    • D\u00e9finitions fondamentales<\/span><\/li>\n
    • Propri\u00e9t\u00e9s et th\u00e9or\u00e8mes<\/span><\/li>\n
    • M\u00e9thodes de r\u00e9solution<\/span><\/li>\n
    • Applications pratiques<\/span><\/li>\n
    • Exercices types Baccalaur\u00e9at<\/span><\/li>\n<\/ul>\n

      Le cours met l\u2019accent sur la compr\u00e9hension des concepts, la ma\u00eetrise des d\u00e9monstrations et la pratique r\u00e9guli\u00e8re.<\/span><\/p>\n

      \ud83d\udcc2<\/b> Contenu du cours (8 Branches)<\/b><\/p>\n

      1<\/b>\ufe0f\u20e3<\/b> Suite Num\u00e9rique<\/b><\/p>\n

        \n
      1. Pr\u00e9sentation du programme Suite Num\u00e9rique NS4<\/span><\/li>\n
      2. D\u00e9finition d\u2019une suite num\u00e9rique<\/span><\/li>\n
      3. D\u00e9finition math\u00e9matique d\u2019une suite arithm\u00e9tique<\/span><\/li>\n
      4. Monotonie d\u2019une suite<\/span><\/li>\n
      5. Monotonie d\u2019une suite (suite)<\/span><\/li>\n
      6. Application 1 \u2013 Monotonie d\u2019une suite<\/span><\/li>\n
      7. Application 2 \u2013 Monotonie d\u2019une suite<\/span><\/li>\n
      8. Suite arithm\u00e9tique<\/span><\/li>\n
      9. Terme g\u00e9n\u00e9ral d\u2019une suite arithm\u00e9tique<\/span><\/li>\n
      10. Terme g\u00e9n\u00e9ral d\u2019une suite arithm\u00e9tique ne commen\u00e7ant pas en 0 ou 1<\/span><\/li>\n
      11. Somme des termes partiels d\u2019une suite arithm\u00e9tique<\/span><\/li>\n
      12. Somme des termes partiels d\u2019une suite arithm\u00e9tique ne commen\u00e7ant pas en 0 ou 1<\/span><\/li>\n
      13. Transformations de la somme des termes<\/span><\/li>\n
      14. D\u00e9monstration de la formule de la somme d\u2019une S.A<\/span><\/li>\n
      15. Suite g\u00e9om\u00e9trique<\/span><\/li>\n
      16. D\u00e9finition math\u00e9matique d\u2019une suite g\u00e9om\u00e9trique<\/span><\/li>\n
      17. D\u00e9termination du terme g\u00e9n\u00e9ral<\/span><\/li>\n
      18. Terme g\u00e9n\u00e9ral si la suite ne commence pas en 0 ou 1<\/span><\/li>\n
      19. Somme des termes d\u2019une suite g\u00e9om\u00e9trique<\/span><\/li>\n
      20. Sens de variation d\u2019une suite g\u00e9om\u00e9trique<\/span><\/li>\n
      21. Application sur la suite g\u00e9om\u00e9trique<\/span><\/li>\n
      22. Exercice complet \u2013 3 et 4 juillet 2025 (Bacc)<\/span><\/li>\n
      23. Exercice Ao\u00fbt 2024 (LLA) #2<\/span><\/li>\n
      24. Suite Exercice Ao\u00fbt 2024 (LLA) #2<\/span><\/li>\n
      25. Exercice Bacc Ao\u00fbt 2024 (SMP)<\/span><\/li>\n
      26. Exercice Bacc Ao\u00fbt 2024 (SVT)<\/span><\/li>\n
      27. Suite Exercice Bacc Ao\u00fbt 2024 (SVT)<\/span><\/li>\n<\/ol>\n

        2<\/b>\ufe0f\u20e3<\/b> Statistique<\/b><\/p>\n

        Contenus abord\u00e9s :<\/span><\/p>\n

          \n
        • Vocabulaire statistique (population, \u00e9chantillon, variable)<\/span><\/li>\n
        • Tableaux statistiques<\/span><\/li>\n
        • Moyenne, m\u00e9diane, mode<\/span><\/li>\n
        • Variance et \u00e9cart-type<\/span><\/li>\n
        • Repr\u00e9sentations graphiques<\/span><\/li>\n<\/ul>\n

          Comp\u00e9tences d\u00e9velopp\u00e9es :<\/span><\/p>\n

            \n
          • Analyse et interpr\u00e9tation de donn\u00e9es<\/span><\/li>\n
          • Calcul des param\u00e8tres statistiques<\/span><\/li>\n
          • Lecture de graphiques<\/span><\/li>\n<\/ul>\n

            3<\/b>\ufe0f\u20e3<\/b> Nombres Complexes<\/b><\/p>\n

            Contenus abord\u00e9s :<\/span><\/p>\n

              \n
            • Forme alg\u00e9brique <\/span>z=a+bi<\/span><\/li>\n
            • Module et argument<\/span><\/li>\n
            • Conjugu\u00e9<\/span><\/li>\n
            • Forme trigonom\u00e9trique<\/span><\/li>\n
            • Formule d\u2019Euler<\/span><\/li>\n
            • Applications g\u00e9om\u00e9triques<\/span><\/li>\n<\/ul>\n

              Comp\u00e9tences d\u00e9velopp\u00e9es :<\/span><\/p>\n

                \n
              • R\u00e9solution d\u2019\u00e9quations complexes<\/span><\/li>\n
              • Interpr\u00e9tation g\u00e9om\u00e9trique dans le plan complexe<\/span><\/li>\n
              • Calculs avanc\u00e9s<\/span><\/li>\n<\/ul>\n

                4<\/b>\ufe0f\u20e3<\/b> Analyse Combinatoire<\/b><\/p>\n

                Contenus abord\u00e9s :<\/span><\/p>\n

                  \n
                • Arrangements<\/span><\/li>\n
                • Permutations<\/span><\/li>\n
                • Combinaisons<\/span><\/li>\n
                • Factorielle<\/span><\/li>\n
                • Applications pratiques<\/span><\/li>\n<\/ul>\n

                  Comp\u00e9tences d\u00e9velopp\u00e9es :<\/span><\/p>\n

                    \n
                  • Calcul du nombre de possibilit\u00e9s<\/span><\/li>\n
                  • R\u00e9solution de probl\u00e8mes de d\u00e9nombrement<\/span><\/li>\n<\/ul>\n

                    5<\/b>\ufe0f\u20e3<\/b> Probabilit\u00e9<\/b><\/p>\n

                    Contenus abord\u00e9s :<\/span><\/p>\n

                      \n
                    • Exp\u00e9rience al\u00e9atoire<\/span><\/li>\n
                    • \u00c9v\u00e9nements<\/span><\/li>\n
                    • Probabilit\u00e9 simple<\/span><\/li>\n
                    • Probabilit\u00e9 conditionnelle<\/span><\/li>\n
                    • Loi binomiale<\/span><\/li>\n
                    • Arbre de probabilit\u00e9<\/span><\/li>\n<\/ul>\n

                      Comp\u00e9tences d\u00e9velopp\u00e9es :<\/span><\/p>\n

                        \n
                      • Calcul des probabilit\u00e9s<\/span><\/li>\n
                      • Analyse d\u2019\u00e9v\u00e9nements d\u00e9pendants<\/span><\/li>\n
                      • R\u00e9solution de probl\u00e8mes probabilistes<\/span><\/li>\n<\/ul>\n

                        6<\/b>\ufe0f\u20e3<\/b> G\u00e9om\u00e9trie et Alg\u00e8bre<\/b><\/p>\n

                        Contenus abord\u00e9s :<\/span><\/p>\n

                          \n
                        • Vecteurs dans le plan<\/span><\/li>\n
                        • Produit scalaire<\/span><\/li>\n
                        • Droites et plans<\/span><\/li>\n
                        • \u00c9quations cart\u00e9siennes<\/span><\/li>\n
                        • Syst\u00e8mes d\u2019\u00e9quations<\/span><\/li>\n
                        • In\u00e9quations<\/span><\/li>\n<\/ul>\n

                          Comp\u00e9tences d\u00e9velopp\u00e9es :<\/span><\/p>\n

                            \n
                          • R\u00e9solution de probl\u00e8mes g\u00e9om\u00e9triques<\/span><\/li>\n
                          • Mod\u00e9lisation alg\u00e9brique<\/span><\/li>\n
                          • Raisonnement spatial<\/span><\/li>\n<\/ul>\n

                            7<\/b>\ufe0f\u20e3<\/b> Fonctions et Analyse (compl\u00e9ment logique du programme)<\/b><\/p>\n

                            Contenus abord\u00e9s :<\/span><\/p>\n

                              \n
                            • Limites simples<\/span><\/li>\n
                            • Continuit\u00e9<\/span><\/li>\n
                            • D\u00e9rivation<\/span><\/li>\n
                            • \u00c9tude de fonctions<\/span><\/li>\n
                            • Tableau de variation<\/span><\/li>\n<\/ul>\n

                              Comp\u00e9tences d\u00e9velopp\u00e9es :<\/span><\/p>\n

                                \n
                              • \u00c9tude du comportement des fonctions<\/span><\/li>\n
                              • R\u00e9solution d\u2019\u00e9quations et optimisation<\/span><\/li>\n<\/ul>\n

                                8<\/b>\ufe0f\u20e3<\/b> Arithm\u00e9tique dans \u2124<\/b><\/p>\n

                                Contenus abord\u00e9s :<\/span><\/p>\n

                                  \n
                                • Division euclidienne<\/span><\/li>\n
                                • PGCD et PPCM<\/span><\/li>\n
                                • Th\u00e9or\u00e8me de B\u00e9zout<\/span><\/li>\n
                                • Congruences<\/span><\/li>\n
                                • Nombres premiers<\/span><\/li>\n<\/ul>\n

                                  Comp\u00e9tences d\u00e9velopp\u00e9es :<\/span><\/p>\n

                                    \n
                                  • R\u00e9solution d\u2019\u00e9quations diophantiennes simples<\/span><\/li>\n
                                  • Calculs en congruence<\/span><\/li>\n
                                  • Raisonnement arithm\u00e9tique rigoureux<\/span><\/li>\n<\/ul>\n

                                    \ud83d\udccc<\/b> Pr\u00e9requis du cours<\/b><\/p>\n

                                    Pour suivre efficacement le programme NS4, l\u2019\u00e9l\u00e8ve doit :<\/span><\/p>\n

                                      \n
                                    • Ma\u00eetriser les op\u00e9rations alg\u00e9briques de base<\/span><\/li>\n
                                    • Conna\u00eetre les puissances et racines<\/span><\/li>\n
                                    • Savoir r\u00e9soudre des \u00e9quations simples<\/span><\/li>\n
                                    • Comprendre les bases de la g\u00e9om\u00e9trie plane<\/span><\/li>\n
                                    • Avoir acquis les notions math\u00e9matiques des classes pr\u00e9c\u00e9dentes<\/span><\/li>\n<\/ul>\n

                                      \u26a0\ufe0f<\/b> Note de sensibilisation<\/b><\/p>\n

                                      Les math\u00e9matiques exigent :<\/span><\/p>\n

                                        \n
                                      • \ud83d\udcda<\/span> Travail r\u00e9gulier<\/span><\/li>\n
                                      • \u270d\ufe0f<\/span> Exercices quotidiens<\/span><\/li>\n
                                      • \ud83e\udde0<\/span> Compr\u00e9hension avant m\u00e9morisation<\/span><\/li>\n
                                      • \ud83d\udd0e<\/span> Rigueur dans les d\u00e9monstrations<\/span><\/li>\n<\/ul>\n

                                        Il est fortement conseill\u00e9 :<\/span><\/p>\n

                                          \n
                                        • De revoir chaque le\u00e7on avant la suivante<\/span><\/li>\n
                                        • De refaire les exercices corrig\u00e9s<\/span><\/li>\n
                                        • De poser des questions en cas d\u2019incompr\u00e9hension<\/span><\/li>\n
                                        • De pratiquer les anciens examens<\/span><\/li>\n<\/ul>\n

                                          La r\u00e9ussite en NS4 repose sur la discipline, la constance et la m\u00e9thode.<\/span><\/p>\n

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                                          \ud83d\udcd8 Plan de Cours \u2013 Math\u00e9matiques NS4 \ud83d\udc68\u200d\ud83c\udfeb Professeur Ilfrene Wedly \ud83c\udfaf Objectif du cours Le cours de Math\u00e9matiques NS4<\/p>","protected":false},"author":1,"featured_media":22896,"comment_status":"open","ping_status":"closed","template":"","course_category":[1019],"course_tag":[],"class_list":["post-22678","lp_course","type-lp_course","status-publish","has-post-thumbnail","hentry","course_category-nouveau-secondaire-4-ns4","course"],"_links":{"self":[{"href":"https:\/\/www.dhct.academy\/fr\/wp-json\/wp\/v2\/lp_course\/22678","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.dhct.academy\/fr\/wp-json\/wp\/v2\/lp_course"}],"about":[{"href":"https:\/\/www.dhct.academy\/fr\/wp-json\/wp\/v2\/types\/lp_course"}],"author":[{"embeddable":true,"href":"https:\/\/www.dhct.academy\/fr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.dhct.academy\/fr\/wp-json\/wp\/v2\/comments?post=22678"}],"version-history":[{"count":2,"href":"https:\/\/www.dhct.academy\/fr\/wp-json\/wp\/v2\/lp_course\/22678\/revisions"}],"predecessor-version":[{"id":22680,"href":"https:\/\/www.dhct.academy\/fr\/wp-json\/wp\/v2\/lp_course\/22678\/revisions\/22680"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.dhct.academy\/fr\/wp-json\/wp\/v2\/media\/22896"}],"wp:attachment":[{"href":"https:\/\/www.dhct.academy\/fr\/wp-json\/wp\/v2\/media?parent=22678"}],"wp:term":[{"taxonomy":"course_category","embeddable":true,"href":"https:\/\/www.dhct.academy\/fr\/wp-json\/wp\/v2\/course_category?post=22678"},{"taxonomy":"course_tag","embeddable":true,"href":"https:\/\/www.dhct.academy\/fr\/wp-json\/wp\/v2\/course_tag?post=22678"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}