Quiz — Dc1 (2012).pdf.pdf

Question 1 sur 5 10:00

[{"id":745,"question":"Quelle est la solution de l'équation 3x + 5 = 2x - 7 ?","option_a":"x = -12","option_b":"x = 12","option_c":"x = -2","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x + 5 = 2x - 7, on soustrait 2x des deux côtés : x + 5 = -7, puis on soustrait 5 : x = -12.","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 = -12\", \"b\": \"x = 12\", \"c\": \"x = -2\", \"d\": \"x = 2\"}}","_debug_options_count":4},{"id":746,"question":"Dans un triangle rectangle, si l'hypoténuse mesure 10 cm et un côté mesure 6 cm, quelle est la longueur du troisième côté ?","option_a":"8 cm","option_b":"√64 cm","option_c":"4 cm","option_d":"√136 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'après le théorème de Pythagore : hypoténuse² = côté1² + côté2² → 10² = 6² + côté2² → côté2² = 100 - 36 = 64 → côté2 = 8 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"8 cm\", \"b\": \"√64 cm\", \"c\": \"4 cm\", \"d\": \"√136 cm\"}}","_debug_options_count":4},{"id":747,"question":"Si deux droites sont parallèles et coupées par une sécante, alors les angles alternes-internes sont :","option_a":"complémentaires","option_b":"égaux","option_c":"supplémentaires","option_d":"perpendiculaires","option_e":"","option_f":"","bonne_reponse":"b","explication":"Les angles alternes-internes formés par deux droites parallèles et une sécante sont toujours égaux (propriété fondamentale de la géométrie).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"complémentaires\", \"b\": \"égaux\", \"c\": \"supplémentaires\", \"d\": \"","_debug_options_count":4},{"id":748,"question":"Résolvez l'équation : 2(x - 3) = 4x + 1","option_a":"x = -7\/2","option_b":"x = 7\/2","option_c":"x = -1","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"Développons : 2x - 6 = 4x + 1 → -6 - 1 = 4x - 2x → -7 = 2x → x = -7\/2.","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 = -7\/2\", \"b\": \"x = 7\/2\", \"c\": \"x = -1\", \"d\": \"x = 1\"}}","_debug_options_count":4},{"id":749,"question":"Un triangle a des côtés de longueurs 5 cm, 12 cm et 13 cm. Quel type de triangle est-ce ?","option_a":"Triangle rectangle","option_b":"Triangle isocèle","option_c":"Triangle équilatéral","option_d":"Triangle obtusangle","option_e":"","option_f":"","bonne_reponse":"a","explication":"Vérifions avec le théorème de Pythagore : 5² + 12² = 25 + 144 = 169 = 13². Le triangle est donc rectangle (côté 13 cm est l'hypoténuse).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Triangle rectangle\", \"b\": \"Triangle isocèle\", \"c\": \"Triangle éq","_debug_options_count":4}]