Cours complet de mathématiques pour la 2ème année secondaire en Tunisie. Algèbre, fonctions, géométrie et statistiques expliquées simplement avec exercices corrigés.
Question 1 sur 10 10:00
[{"id":49861,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 3","option_c":"x = 15\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"La solution est obtenue en isolant x : 3x = 15 → x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49862,"question":"La fonction f(x) = 2x + 3 est une fonction affine.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b, ce qui est le cas ici.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49863,"question":"Quel est le coefficient directeur de la droite d'équation y = -4x + 7 ?","option_a":"4","option_b":"-4","option_c":"7","option_d":"-7","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur est le nombre devant x, ici -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49864,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore est valable uniquement pour les triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49865,"question":"Quelle est la moyenne des nombres 4, 6, 8 et 10 ?","option_a":"7","option_b":"8","option_c":"6","option_d":"9","option_e":"","option_f":"","bonne_reponse":"B","explication":"Moyenne = (4 + 6 + 8 + 10) \/ 4 = 28 \/ 4 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49866,"question":"La fonction f(x) = x² est une fonction linéaire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction linéaire s'écrit f(x) = ax, ici f(x) = x² est une fonction du second degré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49867,"question":"Quel est le discriminant de l'équation x² - 4x + 3 = 0 ?","option_a":"4","option_b":"16","option_c":"0","option_d":"-4","option_e":"","option_f":"","bonne_reponse":"B","explication":"Discriminant Δ = b² - 4ac = (-4)² - 4(1)(3) = 16 - 12 = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49868,"question":"Deux droites parallèles ont le même coefficient directeur.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux droites parallèles ont le même coefficient directeur (même pente).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49869,"question":"Quelle est la solution du système d'équations { 2x + y = 5 ; x - y = 1 } ?","option_a":"x = 2, y = 1","option_b":"x = 1, y = 3","option_c":"x = 3, y = -1","option_d":"x = 0, y = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant le système, on trouve x = 2 et y = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49870,"question":"L'aire d'un cercle de rayon r est égale à πr².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La formule de l'aire d'un cercle est bien πr².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]
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