Quiz interactif généré par IA à partir du document : cor ex12346 S19 Mr smaoui.pdf
Question 1 sur 10 20:00
[{"id":94426,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 3","option_c":"x = 15\/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 = 3\", \"c\": \"x = 15\/3\", \"d\": \"x = 15\"}}","_debug_options_count":4},{"id":94427,"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":94428,"question":"Quelle est la forme développée de (x + 2)(x - 3) ?","option_a":"x² - x - 6","option_b":"x² + x - 6","option_c":"x² - x + 6","option_d":"x² + 5x - 6","option_e":"","option_f":"","bonne_reponse":"a","explication":"En développant (x + 2)(x - 3), on obtient x² - 3x + 2x - 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 - x + 6\", \"d\": \"x² +","_debug_options_count":4},{"id":94429,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à :","option_a":"La somme des carrés des deux autres côtés","option_b":"La différence des carrés des deux autres côtés","option_c":"Le produit des deux autres côtés","option_d":"La moitié du produit des deux autres côtés","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est l'énoncé du théorème de Pythagore : hypoténuse² = côté1² + côté2².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"La somme des carrés des deux autres côtés\", \"b\": \"La différen","_debug_options_count":4},{"id":94430,"question":"L'équation x² = 16 a pour solutions :","option_a":"x = 4","option_b":"x = -4","option_c":"x = 4 et x = -4","option_d":"x = 8","option_e":"","option_f":"","bonne_reponse":"c","explication":"Les solutions de x² = 16 sont x = 4 et x = -4, car 4² = 16 et (-4)² = 16.","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 = 4\", \"b\": \"x = -4\", \"c\": \"x = 4 et x = -4\", \"d\": \"x = 8\"}}","_debug_options_count":4},{"id":94431,"question":"La fonction f(x) = 2x + 3 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 est de la forme f(x) = ax + b, ce qui correspond ici à a = 2 et b = 3.","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":94432,"question":"Quel est le coefficient directeur de la droite d'équation y = -3x + 7 ?","option_a":"7","option_b":"-3","option_c":"3","option_d":"-7","option_e":"","option_f":"","bonne_reponse":"b","explication":"Dans l'équation y = ax + b, a est le coefficient directeur. Ici, a = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"7\", \"b\": \"-3\", \"c\": \"3\", \"d\": \"-7\"}}","_debug_options_count":4},{"id":94433,"question":"Le point A(2 ; 5) appartient-il à la droite d'équation y = 2x + 1 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"En remplaçant x par 2 dans l'équation, on obtient y = 2*2 + 1 = 5. Le point A(2 ; 5) appartient donc à la droite.","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":94434,"question":"Quelle est l'aire d'un triangle de base 6 cm et de hauteur 4 cm ?","option_a":"10 cm²","option_b":"12 cm²","option_c":"24 cm²","option_d":"48 cm²","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'aire d'un triangle est donnée par (base * hauteur) \/ 2 = (6 * 4) \/ 2 = 12 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\": \"10 cm²\", \"b\": \"12 cm²\", \"c\": \"24 cm²\", \"d\": \"48 cm²\"}}","_debug_options_count":4},{"id":94435,"question":"La somme des angles d'un triangle est toujours égale à :","option_a":"90°","option_b":"180°","option_c":"360°","option_d":"270°","option_e":"","option_f":"","bonne_reponse":"b","explication":"Dans un triangle, la somme des trois angles est toujours égale à 180°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"90°\", \"b\": \"180°\", \"c\": \"360°\", \"d\": \"270°\"}}","_debug_options_count":4}]
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