Quiz — Devoir-de-contrôle-n°-1-1ère-Année-Mr-Bousslama-21-10-10.pdf

Question 1 sur 10 20:00

[{"id":10973,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 2","option_c":"x = 12\/3","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"On isole x : 3x = 7 + 5 → 3x = 12 → x = 12\/3 = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x = 4\", \"b\": \"x = 2\", \"c\": \"x = 12\/3\", \"d\": \"x = 1\"}}","_debug_options_count":4},{"id":10974,"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,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":10975,"question":"Quel est le développement de (x + 3)(x - 2) ?","option_a":"x² + x - 6","option_b":"x² - x - 6","option_c":"x² + 5x - 6","option_d":"x² - 5x + 6","option_e":"","option_f":"","bonne_reponse":"a","explication":"On utilise la formule (a+b)(a-b) = a² - b², ici (x+3)(x-2) = x² + (3-2)x - 6 = x² + x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x² + x - 6\", \"b\": \"x² - x - 6\", \"c\": \"x² + 5x - 6\", \"d\": \"x² ","_debug_options_count":4},{"id":10976,"question":"Si deux droites sont parallèles et coupées par une sécante, les angles alternes-internes sont :","option_a":"égaux","option_b":"supplémentaires","option_c":"complémentaires","option_d":"différents","option_e":"","option_f":"","bonne_reponse":"a","explication":"Les angles alternes-internes formés par deux droites parallèles et une sécante sont toujours égaux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"égaux\", \"b\": \"supplémentaires\", \"c\": \"complémentaires\", \"d\": \"","_debug_options_count":4},{"id":10977,"question":"L'inéquation 2x + 1 \u003E 5 a pour solution :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"On résout : 2x \u003E 4 → x \u003E 2. La solution est donc x \u003E 2, pas une affirmation générale.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":10978,"question":"Quel est le résultat de 5 × (3 + 2) - 4 ?","option_a":"21","option_b":"19","option_c":"25","option_d":"11","option_e":"","option_f":"","bonne_reponse":"b","explication":"On respecte les priorités : 5 × 5 - 4 = 25 - 4 = 21. La bonne réponse est 21, mais l'option 19 est incorrecte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"21\", \"b\": \"19\", \"c\": \"25\", \"d\": \"11\"}}","_debug_options_count":4},{"id":10979,"question":"Dans un triangle ABC, si AB = 5 cm, BC = 3 cm et AC = 4 cm, alors ce triangle est :","option_a":"rectangle en A","option_b":"rectangle en B","option_c":"rectangle en C","option_d":"non rectangle","option_e":"","option_f":"","bonne_reponse":"c","explication":"On vérifie avec le théorème de Pythagore : 3² + 4² = 9 + 16 = 25 = 5². Le triangle est rectangle en C.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"rectangle en A\", \"b\": \"rectangle en B\", \"c\": \"rectangle en C\", \"d","_debug_options_count":4},{"id":10980,"question":"La factorisation de x² - 9 est :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"x² - 9 = (x - 3)(x + 3) est une identité remarquable, donc la factorisation est correcte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":10981,"question":"Quel est le périmètre d'un carré de côté 4 cm ?","option_a":"8 cm","option_b":"12 cm","option_c":"16 cm","option_d":"20 cm","option_e":"","option_f":"","bonne_reponse":"c","explication":"Le périmètre d'un carré est 4 × côté = 4 × 4 = 16 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"8 cm\", \"b\": \"12 cm\", \"c\": \"16 cm\", \"d\": \"20 cm\"}}","_debug_options_count":4},{"id":10982,"question":"Si a = 2 et b = -3, alors a - b est égal à :","option_a":"-1","option_b":"1","option_c":"5","option_d":"-5","option_e":"","option_f":"","bonne_reponse":"c","explication":"a - b = 2 - (-3) = 2 + 3 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"-1\", \"b\": \"1\", \"c\": \"5\", \"d\": \"-5\"}}","_debug_options_count":4}]