Quiz — Lycée Pilote Sousse - DC 3 2009.pdf

Question 1 sur 10 20:00

[{"id":57907,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 2","option_c":"x = 12","option_d":"x = -4","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 7, on ajoute 5 des deux côtés : 3x = 12, puis on divise 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\", \"d\": \"x = -4\"}}","_debug_options_count":4},{"id":57908,"question":"La fonction f(x) = 2x + 3 est-elle une fonction linéaire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction linéaire s'écrit sous la forme f(x) = ax. Ici, f(x) = 2x + 3 est affine, car elle contient un terme constant (+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":57909,"question":"Quelle est l'image de 2 par la fonction f(x) = -x² + 4x ?","option_a":"f(2) = 4","option_b":"f(2) = 0","option_c":"f(2) = 8","option_d":"f(2) = -4","option_e":"","option_f":"","bonne_reponse":"b","explication":"En remplaçant x par 2 dans f(x) = -x² + 4x, on obtient f(2) = -(2)² + 4*2 = -4 + 8 = 4. L'image de 2 est donc 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"f(2) = 4\", \"b\": \"f(2) = 0\", \"c\": \"f(2) = 8\", \"d\": \"f(2) = -4\"}}","_debug_options_count":4},{"id":57910,"question":"Le théorème de Thalès s'applique-t-il uniquement dans un triangle rectangle ?","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 tout triangle, pas seulement aux triangles rectangles. Il nécessite simplement deux droites parallèles coupant deux sécantes.","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":57911,"question":"Quelle est la solution de l'inéquation 2x + 1 \u003E 5 ?","option_a":"x \u003E 2","option_b":"x \u003E 3","option_c":"x \u003C 2","option_d":"x \u003C 3","option_e":"","option_f":"","bonne_reponse":"b","explication":"Pour résoudre 2x + 1 \u003E 5, on soustrait 1 : 2x \u003E 4, puis on divise par 2 : x \u003E 2. Cependant, l'inéquation devient 2x \u003E 4, donc x \u003E 2. La bonne réponse est x \u003E 2 (option 1). Correction : la bonne réponse est x \u003E 2, donc l'option correcte est 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"x \u003E 2\", \"b\": \"x \u003E 3\", \"c\": \"x \u003C 2\", \"d\": \"x \u003C 3\"}}","_debug_options_count":4},{"id":57912,"question":"La représentation graphique d'une fonction affine est toujours une droite ?","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. Sa représentation graphique est toujours une droite, car c'est une équation du premier degré.","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":57913,"question":"Quel est le volume d'un cube d'arête 3 cm ?","option_a":"9 cm³","option_b":"27 cm³","option_c":"12 cm³","option_d":"18 cm³","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le volume d'un cube se calcule avec la formule V = a³, où a est l'arête. Ici, V = 3³ = 27 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"9 cm³\", \"b\": \"27 cm³\", \"c\": \"12 cm³\", \"d\": \"18 cm³\"}}","_debug_options_count":4},{"id":57914,"question":"Si deux droites sont parallèles, leurs coefficients directeurs sont égaux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Deux droites parallèles ont des coefficients directeurs égaux. Si leurs équations sont y = mx + p et y = mx + q, alors m est le même pour les deux droites.","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":57915,"question":"Quelle est la solution de l'équation x² - 5x + 6 = 0 ?","option_a":"x = 2 ou x = 3","option_b":"x = -2 ou x = -3","option_c":"x = 1 ou x = 6","option_d":"x = 0 ou x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre x² - 5x + 6 = 0, on factorise : (x - 2)(x - 3) = 0. Les solutions sont donc x = 2 et 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 = 2 ou x = 3\", \"b\": \"x = -2 ou x = -3\", \"c\": \"x = 1 ou x = 6\", ","_debug_options_count":4},{"id":57916,"question":"La section d'un cube par un plan parallèle à une face est toujours un carré ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Si le plan est parallèle à une face du cube, la section obtenue est un carré, car toutes les arêtes du cube sont égales et les angles sont droits.","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}]