Mathématiques 3ème année secondaire : Devoir de contrôle corrigé

Question 1 sur 10 10:00

[{"id":55291,"question":"Quelle est la solution de l'équation x² - 5x + 6 = 0 ?","option_a":"x = 2 ou x = 3","option_b":"x = -2 ou x = -3","option_c":"x = 1 ou x = 6","option_d":"x = 0 ou x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'équation x² - 5x + 6 = 0 se factorise en (x-2)(x-3) = 0, donc les solutions sont x = 2 et x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":55292,"question":"La fonction f(x) = 3x - 2 est-elle 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 avec a = 3 et b = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":55293,"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":"Dans l'équation y = ax + b, a représente le coefficient directeur. Ici, a = -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":55294,"question":"Le théorème de Thalès s'applique-t-il uniquement aux triangles isocèles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Thalès s'applique à tous les triangles, pas seulement aux triangles isocèles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":55295,"question":"Quelle est la solution de l'inéquation 2x - 3 \u003E 5 ?","option_a":"x \u003E 4","option_b":"x \u003C 4","option_c":"x \u003E 1","option_d":"x \u003C 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x - 3 \u003E 5 ⇒ 2x \u003E 8 ⇒ x \u003E 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":55296,"question":"La représentation graphique d'une fonction linéaire passe-t-elle toujours par l'origine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction linéaire s'écrit f(x) = ax, donc f(0) = 0. Sa représentation graphique passe donc toujours par l'origine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":55297,"question":"Quel est le discriminant de l'équation x² + 4x + 4 = 0 ?","option_a":"0","option_b":"8","option_c":"16","option_d":"-16","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le discriminant Δ = b² - 4ac = 4² - 4(1)(4) = 16 - 16 = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":55298,"question":"Deux droites parallèles ont-elles 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, car elles ne se coupent jamais et ont la même pente.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":55299,"question":"Quelle est la solution de l'équation 3(x - 2) = 0 ?","option_a":"x = 2","option_b":"x = -2","option_c":"x = 0","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"3(x - 2) = 0 ⇒ x - 2 = 0 ⇒ x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":55300,"question":"Le théorème de Pythagore s'applique-t-il 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 s'applique uniquement aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]