Quiz — وحدة 4.pdf

Question 1 sur 10 20:00

[{"id":71157,"question":"Quelle est la solution du système d'équations suivant ? { 2x + y = 5 ; x - y = 1 }","option_a":"A) x=2, y=1","option_b":"B) x=1, y=2","option_c":"C) x=3, y=-1","option_d":"D) x=0, y=5","option_e":"","option_f":"","bonne_reponse":"a","explication":"En résolvant le système, on trouve x=2 et y=1. Vérifiez en remplaçant dans les deux équations.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"A) x=2, y=1\", \"b\": \"B) x=1, y=2\", \"c\": \"C) x=3, y=-1\", \"d\": \"D) x","_debug_options_count":4},{"id":71158,"question":"La droite d'équation y = 3x - 2 passe par le point (1, 1).","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"En remplaçant x=1 dans l'équation, on obtient y=1, donc la droite passe bien par (1,1). Réponse : Vrai.","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":71159,"question":"Quelle est la forme factorisée de l'expression x² - 9 ?","option_a":"A) (x-3)(x+3)","option_b":"B) (x-9)(x+1)","option_c":"C) x(x-9)","option_d":"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\": \"A) (x-3)(x+3)\", \"b\": \"B) (x-9)(x+1)\", \"c\": \"C) x(x-9)\", \"d\": \"D) ","_debug_options_count":4},{"id":71160,"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.","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":71161,"question":"Quelle est la valeur de x dans l'équation 3x + 7 = 22 ?","option_a":"A) x=5","option_b":"B) x=7","option_c":"C) x=9","option_d":"D) x=15","option_e":"","option_f":"","bonne_reponse":"b","explication":"3x + 7 = 22 → 3x = 15 → x = 5. La bonne réponse est x=5 (option A).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"A) x=5\", \"b\": \"B) x=7\", \"c\": \"C) x=9\", \"d\": \"D) x=15\"}}","_debug_options_count":4},{"id":71162,"question":"La fonction f(x) = 2x + 3 est 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 f(x) = ax + b. Ici, a=2 et b=3, donc c'est bien une fonction linéaire.","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":71163,"question":"Quelle est l'image de 4 par la fonction f(x) = x² - 5x + 6 ?","option_a":"A) 2","option_b":"B) -2","option_c":"C) 6","option_d":"D) 0","option_e":"","option_f":"","bonne_reponse":"a","explication":"f(4) = 4² - 5*4 + 6 = 16 - 20 + 6 = 2. L'image de 4 est donc 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"A) 2\", \"b\": \"B) -2\", \"c\": \"C) 6\", \"d\": \"D) 0\"}}","_debug_options_count":4},{"id":71164,"question":"Dans un triangle isocèle, les angles à la base sont égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Par définition, un triangle isocèle a deux côtés égaux et les angles opposés à ces côtés sont égaux.","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":71165,"question":"Quelle est la solution de l'inéquation 2x - 5 \u003E 3 ?","option_a":"A) x \u003E 4","option_b":"B) x \u003C 4","option_c":"C) x \u003E 1","option_d":"D) x \u003C 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"2x - 5 \u003E 3 → 2x \u003E 8 → x \u003E 4. La solution est 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\": \"A) x \u003E 4\", \"b\": \"B) x \u003C 4\", \"c\": \"C) x \u003E 1\", \"d\": \"D) x \u003C 1\"}}","_debug_options_count":4},{"id":71166,"question":"La médiatrice d'un segment est perpendiculaire à ce segment et passe par son milieu.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Par définition, la médiatrice d'un segment est une droite perpendiculaire au segment et passant par son milieu.","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}]