Quiz — serie 12 p1.pdf

Question 1 sur 10 20:00

[{"id":28470,"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 = -4","option_e":"","option_f":"","bonne_reponse":"a","explication":"En ajoutant 5 aux deux membres, on obtient 3x = 12, puis en divisant par 3, x = 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 = -4\"}}","_debug_options_count":4},{"id":28471,"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 s'écrit sous la forme f(x) = ax + b, ce qui est le cas ici avec 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":28472,"question":"Quel est le discriminant de l'équation x² - 4x + 4 = 0 ?","option_a":"Δ = 0","option_b":"Δ = -4","option_c":"Δ = 4","option_d":"Δ = 16","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le discriminant Δ = b² - 4ac = (-4)² - 4(1)(4) = 16 - 16 = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Δ = 0\", \"b\": \"Δ = -4\", \"c\": \"Δ = 4\", \"d\": \"Δ = 16\"}}","_debug_options_count":4},{"id":28473,"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 moyenne des deux autres côtés","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est le théorème de Pythagore : c² = a² + b², où c 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\": \"La somme des carrés des deux autres côtés\", \"b\": \"La différen","_debug_options_count":4},{"id":28474,"question":"La probabilité de tirer un as dans un jeu de 32 cartes est de :","option_a":"1\/8","option_b":"1\/32","option_c":"4\/32","option_d":"1\/4","option_e":"","option_f":"","bonne_reponse":"c","explication":"Il y a 4 as dans un jeu de 32 cartes, donc la probabilité est 4\/32 = 1\/8.","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\/8\", \"b\": \"1\/32\", \"c\": \"4\/32\", \"d\": \"1\/4\"}}","_debug_options_count":4},{"id":28475,"question":"La fonction f(x) = x² est-elle toujours croissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La fonction f(x) = x² est décroissante pour x \u003C 0 et croissante pour x \u003E 0.","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":28476,"question":"Quel est le résultat de (x + 2)(x - 3) ?","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":"b","explication":"En développant, 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\": \"b\", \"options\": {\"a\": \"x² - x - 6\", \"b\": \"x² + x - 6\", \"c\": \"x² - 5x - 6\", \"d\": \"x² ","_debug_options_count":4},{"id":28477,"question":"Dans un triangle ABC, si AB = 5 cm, AC = 12 cm et BC = 13 cm, alors le 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":"a","explication":"On vérifie avec le théorème de Pythagore : 5² + 12² = 25 + 144 = 169 = 13². Le triangle est rectangle en A.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Rectangle en A\", \"b\": \"Rectangle en B\", \"c\": \"Rectangle en C\", \"d","_debug_options_count":4},{"id":28478,"question":"La solution de l'inéquation 2x + 5 \u003E 11 est :","option_a":"x \u003E 3","option_b":"x \u003C 3","option_c":"x \u003E -3","option_d":"x \u003C -3","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant 5, on obtient 2x \u003E 6, puis en divisant par 2, x \u003E 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\": \"x \u003E 3\", \"b\": \"x \u003C 3\", \"c\": \"x \u003E -3\", \"d\": \"x \u003C -3\"}}","_debug_options_count":4},{"id":28479,"question":"La moyenne de 4 notes : 12, 15, 10 et 13 est :","option_a":"12.5","option_b":"12","option_c":"13","option_d":"11.5","option_e":"","option_f":"","bonne_reponse":"a","explication":"La moyenne est (12 + 15 + 10 + 13) \/ 4 = 50 \/ 4 = 12.5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"12.5\", \"b\": \"12\", \"c\": \"13\", \"d\": \"11.5\"}}","_debug_options_count":4}]