Quiz — Lycée Pilote Ariana - Complex 1.pdf

Question 1 sur 10 20:00

[{"id":32330,"question":"Quelle est la solution de l'équation 2x - 5 = 3x + 1 ?","option_a":"x = -6","option_b":"x = -4","option_c":"x = 4","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"a","explication":"Résolvez l'équation : 2x - 5 = 3x + 1 → -5 - 1 = 3x - 2x → -6 = x. La solution est donc 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\": \"x = -6\", \"b\": \"x = -4\", \"c\": \"x = 4\", \"d\": \"x = 6\"}}","_debug_options_count":4},{"id":32331,"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, où le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","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":32332,"question":"Quelle est la forme développée de (3x + 2)(x - 4) ?","option_a":"3x² - 10x - 8","option_b":"3x² - 14x - 8","option_c":"3x² + 10x - 8","option_d":"3x² - 12x - 8","option_e":"","option_f":"","bonne_reponse":"b","explication":"Développez : (3x + 2)(x - 4) = 3x² - 12x + 2x - 8 = 3x² - 10x - 8. La bonne réponse est 3x² - 10x - 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"3x² - 10x - 8\", \"b\": \"3x² - 14x - 8\", \"c\": \"3x² + 10x - 8\", \"d","_debug_options_count":4},{"id":32333,"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, où a et b sont des réels. Ici, f(x) = 2x + 3 est bien une fonction affine.","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":32334,"question":"Quelle est la solution du système d'équations { 2x + y = 5 ; x - y = 1 } ?","option_a":"x = 2, y = 1","option_b":"x = 1, y = 2","option_c":"x = 3, y = -1","option_d":"x = -1, y = 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Résolvez le système : x - y = 1 → y = x - 1. Substituez dans la première équation : 2x + (x - 1) = 5 → 3x = 6 → x = 2. Donc y = 1. La solution est x = 2, y = 1.","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, y = 1\", \"b\": \"x = 1, y = 2\", \"c\": \"x = 3, y = -1\", \"d\": \"x","_debug_options_count":4},{"id":32335,"question":"L'aire d'un triangle est toujours égale à (base × hauteur) \/ 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La formule de l'aire d'un triangle est bien (base × hauteur) \/ 2, où la hauteur est la distance perpendiculaire à la base.","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":32336,"question":"Quelle est la valeur de x dans l'inéquation 3x - 7 \u003E 2x + 5 ?","option_a":"x \u003E 12","option_b":"x \u003E 2","option_c":"x \u003C 12","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Résolvez l'inéquation : 3x - 7 \u003E 2x + 5 → 3x - 2x \u003E 5 + 7 → x \u003E 12.","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 12\", \"b\": \"x \u003E 2\", \"c\": \"x \u003C 12\", \"d\": \"x \u003C 2\"}}","_debug_options_count":4},{"id":32337,"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 est de la forme f(x) = ax + b, dont la représentation graphique est une droite.","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":32338,"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 = -1 ou x = 6","option_e":"","option_f":"","bonne_reponse":"a","explication":"Factorisez : x² - 5x + 6 = (x - 2)(x - 3) = 0. Les solutions sont donc x = 2 ou 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":32339,"question":"Le théorème de Thalès s'applique aux triangles semblables.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le théorème de Thalès s'applique aux triangles qui ont des côtés parallèles, c'est-à-dire des triangles semblables.","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}]