Quiz — synthèse 1 2014 VFdocx.pdf

Question 1 sur 10 20:00

[{"id":14529,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 10","option_d":"x = 25","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x + 5 = 20, soustrayez 5 des deux côtés : 3x = 15, puis divisez par 3 : x = 5.","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 = 5\", \"b\": \"x = 15\", \"c\": \"x = 10\", \"d\": \"x = 25\"}}","_debug_options_count":4},{"id":14530,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le théorème de Pythagore ne s'applique qu'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":14531,"question":"Quelle est l'image de 2 par la fonction f(x) = 3x - 1 ?","option_a":"5","option_b":"6","option_c":"7","option_d":"8","option_e":"","option_f":"","bonne_reponse":"a","explication":"Remplacez x par 2 dans f(x) = 3x - 1 : f(2) = 3*2 - 1 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"5\", \"b\": \"6\", \"c\": \"7\", \"d\": \"8\"}}","_debug_options_count":4},{"id":14532,"question":"L'inéquation 2x - 3 \u003E 7 a pour solution :","option_a":"x \u003E 5","option_b":"x \u003C 5","option_c":"x \u003E 10","option_d":"x \u003C 10","option_e":"","option_f":"","bonne_reponse":"a","explication":"Ajoutez 3 des deux côtés : 2x \u003E 10, puis divisez par 2 : x \u003E 5.","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 5\", \"b\": \"x \u003C 5\", \"c\": \"x \u003E 10\", \"d\": \"x \u003C 10\"}}","_debug_options_count":4},{"id":14533,"question":"Un triangle rectangle a des côtés de 3 cm et 4 cm. Quelle est la longueur de l'hypoténuse ?","option_a":"5 cm","option_b":"6 cm","option_c":"7 cm","option_d":"8 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'après le théorème de Pythagore : hypoténuse² = 3² + 4² = 9 + 16 = 25, donc hypoténuse = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"5 cm\", \"b\": \"6 cm\", \"c\": \"7 cm\", \"d\": \"8 cm\"}}","_debug_options_count":4},{"id":14534,"question":"La fonction f(x) = -2x + 4 est-elle décroissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le coefficient directeur est -2 (négatif), donc la fonction est décroissante.","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":14535,"question":"Résolvez l'équation 5(x - 2) = 3x + 10.","option_a":"x = 10","option_b":"x = 5","option_c":"x = 0","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"a","explication":"Développez : 5x - 10 = 3x + 10, puis regroupez : 2x = 20, donc x = 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\": \"x = 10\", \"b\": \"x = 5\", \"c\": \"x = 0\", \"d\": \"x = 15\"}}","_debug_options_count":4},{"id":14536,"question":"Un carré a un côté de 6 cm. Quelle est son aire ?","option_a":"12 cm²","option_b":"24 cm²","option_c":"36 cm²","option_d":"48 cm²","option_e":"","option_f":"","bonne_reponse":"c","explication":"L'aire d'un carré est côté² = 6² = 36 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"12 cm²\", \"b\": \"24 cm²\", \"c\": \"36 cm²\", \"d\": \"48 cm²\"}}","_debug_options_count":4},{"id":14537,"question":"La fonction f(x) = x² + 2x + 1 est-elle toujours positive ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est un carré parfait : f(x) = (x + 1)² ≥ 0 pour tout x réel.","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":14538,"question":"Quelle est la solution de l'inéquation -3x + 6 ≤ 0 ?","option_a":"x ≥ 2","option_b":"x ≤ 2","option_c":"x \u003E 2","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soustrayez 6 : -3x ≤ -6, puis divisez par -3 (inversion du sens) : x ≥ 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 ≥ 2\", \"b\": \"x ≤ 2\", \"c\": \"x \u003E 2\", \"d\": \"x \u003C 2\"}}","_debug_options_count":4}]