Quiz interactif généré par IA à partir du document : ctrl20809myc.pdf
Question 1 sur 10 20:00
[{"id":45533,"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,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x = 5\", \"b\": \"x = 15\/3\", \"c\": \"x = 5\/3\", \"d\": \"x = 15\"}}","_debug_options_count":4},{"id":45534,"question":"Le périmètre d'un carré de côté 4 cm est de 16 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le périmètre d'un carré se calcule par P = 4 × côté. Ici, 4 × 4 = 16 cm, donc c'est vrai.","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":45535,"question":"Quelle est la formule de l'aire d'un triangle rectangle ?","option_a":"A = base × hauteur","option_b":"A = (base × hauteur) \/ 2","option_c":"A = côté × côté","option_d":"A = π × rayon²","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'aire d'un triangle rectangle se calcule par A = (base × hauteur) \/ 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"A = base × hauteur\", \"b\": \"A = (base × hauteur) \/ 2\", \"c\": \"A =","_debug_options_count":4},{"id":45536,"question":"Si f(x) = 2x + 3, que vaut f(4) ?","option_a":"f(4) = 9","option_b":"f(4) = 11","option_c":"f(4) = 5","option_d":"f(4) = 14","option_e":"","option_f":"","bonne_reponse":"c","explication":"En remplaçant x par 4 dans f(x) = 2x + 3, on obtient f(4) = 2×4 + 3 = 8 + 3 = 11.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"f(4) = 9\", \"b\": \"f(4) = 11\", \"c\": \"f(4) = 5\", \"d\": \"f(4) = 14\"}}","_debug_options_count":4},{"id":45537,"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,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":45538,"question":"Quelle est la solution de l'équation x² - 9 = 0 ?","option_a":"x = 3","option_b":"x = -3","option_c":"x = 3 ou x = -3","option_d":"x = 9","option_e":"","option_f":"","bonne_reponse":"c","explication":"x² - 9 = 0 ⇒ x² = 9 ⇒ x = 3 ou x = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"x = 3\", \"b\": \"x = -3\", \"c\": \"x = 3 ou x = -3\", \"d\": \"x = 9\"}}","_debug_options_count":4},{"id":45539,"question":"Un rectangle a une longueur de 8 cm et une largeur de 5 cm. Quel est son périmètre ?","option_a":"26 cm","option_b":"40 cm","option_c":"30 cm","option_d":"13 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le périmètre d'un rectangle se calcule par P = 2 × (longueur + largeur). Ici, P = 2 × (8 + 5) = 26 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\": \"26 cm\", \"b\": \"40 cm\", \"c\": \"30 cm\", \"d\": \"13 cm\"}}","_debug_options_count":4},{"id":45540,"question":"La fonction f(x) = -3x est une fonction linéaire décroissante.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction linéaire f(x) = ax + b est décroissante si a \u003C 0. Ici, a = -3, donc c'est vrai.","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":45541,"question":"Quelle est l'aire d'un cercle de rayon 3 cm ? (π ≈ 3,14)","option_a":"9π cm²","option_b":"18,84 cm²","option_c":"28,26 cm²","option_d":"6π cm²","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'aire d'un cercle se calcule par A = π × rayon². Ici, A ≈ 3,14 × 3² = 28,26 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"9π cm²\", \"b\": \"18,84 cm²\", \"c\": \"28,26 cm²\", \"d\": \"6π cm²\"}","_debug_options_count":4},{"id":45542,"question":"Si un triangle a des côtés de 3 cm, 4 cm et 5 cm, est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un triangle est rectangle si le carré du plus grand côté est égal à la somme des carrés des deux autres. Ici, 5² = 3² + 4² ⇒ 25 = 9 + 16 ⇒ 25 = 25, donc c'est vrai.","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}]
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