Quiz Mathématiques — 3ème Année Secondaire : Algèbre & Géométrie

Question 1 sur 10 10:00

[{"id":74172,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 des deux côtés : 3x = 15, puis on divise par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74173,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74174,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x + 3)²","option_c":"(x - 9)(x + 1)","option_d":"(x - 3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 9 est une différence de carrés : (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74175,"question":"Si f(x) = 2x + 1, quelle est l'image de 3 par f ?","option_a":"5","option_b":"7","option_c":"6","option_d":"8","option_e":"","option_f":"","bonne_reponse":"B","explication":"f(3) = 2*3 + 1 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74176,"question":"La droite d'équation y = 2x + 3 passe-t-elle par l'origine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Pour passer par l'origine (0,0), il faudrait que 0 = 2*0 + 3, ce qui est faux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74177,"question":"Quelle est la solution de l'inéquation 2x + 4 \u003E 10 ?","option_a":"x \u003E 3","option_b":"x \u003E 6","option_c":"x \u003C 3","option_d":"x \u003C 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 4 \u003E 10 → 2x \u003E 6 → x \u003E 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74178,"question":"Dans un triangle ABC, si AB = 5 cm, BC = 12 cm et AC = 13 cm, est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"5² + 12² = 25 + 144 = 169 = 13², donc le triangle est rectangle en B.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74179,"question":"Quelle est la dérivée de f(x) = 3x² + 2x - 1 ?","option_a":"f'(x) = 6x + 2","option_b":"f'(x) = 3x + 2","option_c":"f'(x) = 6x - 1","option_d":"f'(x) = 3x² + 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de 3x² est 6x, celle de 2x est 2, et celle de -1 est 0. Donc f'(x) = 6x + 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74180,"question":"L'équation x² + 4x + 4 = 0 a-t-elle deux solutions distinctes ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"x² + 4x + 4 = (x + 2)² = 0 → une seule solution : x = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74181,"question":"Quelle est l'aire d'un cercle de rayon 5 cm ?","option_a":"25π cm²","option_b":"10π cm²","option_c":"5π cm²","option_d":"50π cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un cercle est πr² → π*5² = 25π cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]