Quiz — corr dev 1.pdf

Question 1 sur 10 20:00

[{"id":18429,"question":"Quelle est la solution de l'équation 3x - 7 = 2x + 5 ?","option_a":"x = 12","option_b":"x = 2","option_c":"x = -12","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"On soustrait 2x des deux côtés : x - 7 = 5, puis on ajoute 7 : x = 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 = 12\", \"b\": \"x = 2\", \"c\": \"x = -12\", \"d\": \"x = 5\"}}","_debug_options_count":4},{"id":18430,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est le théorème de Pythagore, une propriété fondamentale en géométrie.","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":18431,"question":"Développez l'expression (2x + 3)(x - 4).","option_a":"2x² - 5x - 12","option_b":"2x² + 5x - 12","option_c":"2x² - 5x + 12","option_d":"2x² + 5x + 12","option_e":"","option_f":"","bonne_reponse":"a","explication":"On utilise la distributivité : 2x * x + 2x * (-4) + 3 * x + 3 * (-4) = 2x² - 8x + 3x - 12 = 2x² - 5x - 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\": \"2x² - 5x - 12\", \"b\": \"2x² + 5x - 12\", \"c\": \"2x² - 5x + 12\", \"d","_debug_options_count":4},{"id":18432,"question":"Quel est le résultat de 5 - (-3) ?","option_a":"8","option_b":"2","option_c":"-2","option_d":"-8","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soustraire un nombre négatif revient à ajouter son opposé : 5 + 3 = 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"8\", \"b\": \"2\", \"c\": \"-2\", \"d\": \"-8\"}}","_debug_options_count":4},{"id":18433,"question":"Si deux droites sont parallèles, alors elles ont le même coefficient directeur.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"En géométrie analytique, deux droites parallèles ont le même coefficient directeur.","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":18434,"question":"Factorisez l'expression 4x² - 9.","option_a":"(2x - 3)(2x + 3)","option_b":"(2x + 3)²","option_c":"(4x - 9)(x + 1)","option_d":"(2x - 3)²","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est une identité remarquable : a² - b² = (a - b)(a + b). Ici, a = 2x 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\": \"(2x - 3)(2x + 3)\", \"b\": \"(2x + 3)²\", \"c\": \"(4x - 9)(x + 1)\", \"d\"","_debug_options_count":4},{"id":18435,"question":"Un angle de 90° est appelé angle plat.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Un angle plat mesure 180°. Un angle de 90° est un angle droit.","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":18436,"question":"Résolvez l'inéquation 2x + 1 \u003E 5.","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E 3","option_d":"x \u003C 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"On soustrait 1 des deux côtés : 2x \u003E 4, puis on divise par 2 : x \u003E 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\": \"x \u003E 2\", \"b\": \"x \u003C 2\", \"c\": \"x \u003E 3\", \"d\": \"x \u003C 3\"}}","_debug_options_count":4},{"id":18437,"question":"La médiatrice d'un segment est la droite qui passe par le milieu du segment et qui est perpendiculaire à ce segment.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est la définition exacte de la médiatrice en géométrie.","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":18438,"question":"Calculez la valeur de l'expression 3a + 2b pour a = 4 et b = -1.","option_a":"10","option_b":"14","option_c":"12","option_d":"8","option_e":"","option_f":"","bonne_reponse":"a","explication":"On remplace a et b par leurs valeurs : 3*4 + 2*(-1) = 12 - 2 = 10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"10\", \"b\": \"14\", \"c\": \"12\", \"d\": \"8\"}}","_debug_options_count":4}]