Quiz — Serie 2

Question 1 sur 10 20:00

[{"id":31530,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12","option_c":"x = -4","option_d":"x = 2","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 = 12\", \"c\": \"x = -4\", \"d\": \"x = 2\"}}","_debug_options_count":4},{"id":31531,"question":"Le théorème de Thalès s'applique uniquement aux triangles rectangles.","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 tous les triangles, pas seulement aux triangles rectangles.","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":31532,"question":"Quelle est l'image de 2 par la fonction f(x) = 3x + 1 ?","option_a":"f(2) = 7","option_b":"f(2) = 5","option_c":"f(2) = -5","option_d":"f(2) = 6","option_e":"","option_f":"","bonne_reponse":"a","explication":"En remplaçant x par 2 dans f(x) = 3x + 1, on obtient f(2) = 3*2 + 1 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"f(2) = 7\", \"b\": \"f(2) = 5\", \"c\": \"f(2) = -5\", \"d\": \"f(2) = 6\"}}","_debug_options_count":4},{"id":31533,"question":"La tangente d'un angle aigu dans un triangle rectangle est égale au rapport :","option_a":"Côté opposé \/ Hypoténuse","option_b":"Côté adjacent \/ Hypoténuse","option_c":"Côté opposé \/ Côté adjacent","option_d":"Hypoténuse \/ Côté opposé","option_e":"","option_f":"","bonne_reponse":"c","explication":"Par définition, la tangente d'un angle est le rapport du côté opposé au côté adjacent.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"Côté opposé \/ Hypoténuse\", \"b\": \"Côté adjacent \/ Hypoténus","_debug_options_count":4},{"id":31534,"question":"L'inéquation 2x + 3 \u003E 5 a pour solution :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"En résolvant 2x + 3 \u003E 5, on obtient 2x \u003E 2, puis x \u003E 1. La solution est donc x \u003E 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":31535,"question":"Quelle est la représentation graphique d'une fonction affine ?","option_a":"Une droite","option_b":"Une parabole","option_c":"Un cercle","option_d":"Une hyperbole","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction affine de la forme f(x) = ax + b a pour représentation graphique 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\": \"Une droite\", \"b\": \"Une parabole\", \"c\": \"Un cercle\", \"d\": \"Une hyp","_debug_options_count":4},{"id":31536,"question":"Si deux triangles sont semblables, leurs angles correspondants sont :","option_a":"Différents","option_b":"Égaux","option_c":"Complémentaires","option_d":"Supplémentaires","option_e":"","option_f":"","bonne_reponse":"b","explication":"Par définition, deux triangles semblables ont des angles correspondants égaux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Différents\", \"b\": \"Égaux\", \"c\": \"Complémentaires\", \"d\": \"Suppl","_debug_options_count":4},{"id":31537,"question":"La valeur de cos(60°) est égale à :","option_a":"0","option_b":"1\/2","option_c":"√2\/2","option_d":"√3\/2","option_e":"","option_f":"","bonne_reponse":"b","explication":"Dans un triangle équilatéral, cos(60°) = 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"0\", \"b\": \"1\/2\", \"c\": \"√2\/2\", \"d\": \"√3\/2\"}}","_debug_options_count":4},{"id":31538,"question":"Résoudre l'inéquation -2x + 4 ≤ 0.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"En résolvant -2x + 4 ≤ 0, on obtient -2x ≤ -4, puis x ≥ 2 (en divisant par un nombre négatif, on inverse le sens de l'inégalité).","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":31539,"question":"Quelle est la pente de la droite d'équation y = -3x + 2 ?","option_a":"-3","option_b":"2","option_c":"3","option_d":"-2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Dans l'équation y = ax + b, a représente la pente. Ici, a = -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\": \"-3\", \"b\": \"2\", \"c\": \"3\", \"d\": \"-2\"}}","_debug_options_count":4}]