Quiz — Lycée Pilote Sousse - DC 1 2010 (+Corrigé).pdf

Question 1 sur 10 20:00

[{"id":24334,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = -5","option_c":"x = 15\/3","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"La solution de 3x - 5 = 10 est obtenue en isolant x : 3x = 15 → 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 = -5\", \"c\": \"x = 15\/3\", \"d\": \"x = 3\"}}","_debug_options_count":4},{"id":24335,"question":"Le théorème de Thalès s'applique-t-il uniquement aux triangles semblables ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le théorème de Thalès s'applique à deux triangles ayant des côtés parallèles, pas nécessairement semblables.","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":24336,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x - 9)(x + 1)","option_c":"(x - 3)²","option_d":"(x + 3)²","option_e":"","option_f":"","bonne_reponse":"a","explication":"x² - 9 est une différence de carrés : (x - 3)(x + 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 - 3)(x + 3)\", \"b\": \"(x - 9)(x + 1)\", \"c\": \"(x - 3)²\", \"d\": \"(","_debug_options_count":4},{"id":24337,"question":"Si deux droites sont parallèles, leurs angles alternes-internes sont-ils égaux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Oui, c'est une propriété fondamentale des droites parallèles coupées par une sécante.","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":24338,"question":"Résoudre l'inéquation : 2x + 7 \u003E 15.","option_a":"x \u003E 4","option_b":"x \u003E -4","option_c":"x \u003C 4","option_d":"x \u003C -4","option_e":"","option_f":"","bonne_reponse":"a","explication":"2x + 7 \u003E 15 → 2x \u003E 8 → x \u003E 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 \u003E 4\", \"b\": \"x \u003E -4\", \"c\": \"x \u003C 4\", \"d\": \"x \u003C -4\"}}","_debug_options_count":4},{"id":24339,"question":"Le carré d'un nombre négatif est-il toujours positif ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Oui, car (-a)² = a² \u003E 0 pour tout a ≠ 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":24340,"question":"Quelle est la valeur de x dans le système : { x + y = 5 ; x - y = 1 } ?","option_a":"x = 3","option_b":"x = 2","option_c":"x = 4","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"En additionnant les deux équations : 2x = 6 → x = 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 = 3\", \"b\": \"x = 2\", \"c\": \"x = 4\", \"d\": \"x = 1\"}}","_debug_options_count":4},{"id":24341,"question":"Un triangle rectangle isocèle a deux angles de 45° ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Oui, car les angles d'un triangle isocèle non rectangle sont égaux à 45° chacun.","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":24342,"question":"Développer (2x - 3)².","option_a":"4x² - 12x + 9","option_b":"4x² - 6x + 9","option_c":"2x² - 12x + 9","option_d":"4x² - 9","option_e":"","option_f":"","bonne_reponse":"a","explication":"(2x - 3)² = 4x² - 12x + 9 (identité remarquable).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"4x² - 12x + 9\", \"b\": \"4x² - 6x + 9\", \"c\": \"2x² - 12x + 9\", \"d\"","_debug_options_count":4},{"id":24343,"question":"La somme des angles d'un triangle est-elle toujours égale à 180° ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Oui, c'est une propriété fondamentale de la géométrie euclidienne.","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}]