Quiz — devoir-de-contrôle-n°2--2008-2009[jammel].pdf

Question 1 sur 10 20:00

[{"id":4976,"question":"Quelle est la représentation graphique d'une fonction affine f(x) = 2x + 3 ?","option_a":"Une droite passant par l'origine","option_b":"Une droite de pente 2 et d'ordonnée à l'origine 3","option_c":"Une parabole","option_d":"Un cercle","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une fonction affine f(x) = ax + b a pour représentation graphique une droite de pente a et d'ordonnée à l'origine b.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Une droite passant par l'origine\", \"b\": \"Une droite de pente 2 et","_debug_options_count":4},{"id":4977,"question":"L'équation 3x - 5 = 10 a pour solution x = 5.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"En résolvant l'équation : 3x - 5 = 10 → 3x = 15 → x = 5. La solution est donc correcte.","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":4978,"question":"Quelle est la moyenne d'une série statistique composée des valeurs 2, 4, 6, 8 et 10 ?","option_a":"4","option_b":"6","option_c":"8","option_d":"10","option_e":"","option_f":"","bonne_reponse":"c","explication":"La moyenne se calcule par (2 + 4 + 6 + 8 + 10) \/ 5 = 30 \/ 5 = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"4\", \"b\": \"6\", \"c\": \"8\", \"d\": \"10\"}}","_debug_options_count":4},{"id":4979,"question":"L'inéquation 2x + 3 \u003E 7 a pour solution x \u003E 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"En résolvant l'inéquation : 2x + 3 \u003E 7 → 2x \u003E 4 → x \u003E 2. La solution est donc correcte.","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":4980,"question":"Quelle est la pente de la droite représentative de la fonction f(x) = -4x + 1 ?","option_a":"-4","option_b":"1","option_c":"4","option_d":"-1","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour une fonction affine f(x) = ax + b, a représente la pente de la droite. Ici, a = -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\": \"-4\", \"b\": \"1\", \"c\": \"4\", \"d\": \"-1\"}}","_debug_options_count":4},{"id":4981,"question":"La fonction f(x) = x² est une fonction linéaire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une fonction linéaire est de la forme f(x) = ax + b. La fonction f(x) = x² est une fonction polynôme de degré 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":4982,"question":"Quelle est la solution de l'équation 5x - 15 = 0 ?","option_a":"x = -3","option_b":"x = 0","option_c":"x = 3","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"c","explication":"En résolvant l'équation : 5x - 15 = 0 → 5x = 15 → x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"x = -3\", \"b\": \"x = 0\", \"c\": \"x = 3\", \"d\": \"x = 5\"}}","_debug_options_count":4},{"id":4983,"question":"L'écart-type mesure la dispersion des valeurs d'une série statistique.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'écart-type est une mesure de la dispersion des valeurs autour de la moyenne dans une série statistique.","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":4984,"question":"Quelle est la représentation graphique d'une fonction linéaire f(x) = 3x ?","option_a":"Une parabole","option_b":"Une droite passant par l'origine","option_c":"Une droite de pente 3 et d'ordonnée à l'origine 0","option_d":"Un cercle","option_e":"","option_f":"","bonne_reponse":"c","explication":"Une fonction linéaire f(x) = ax a pour représentation graphique une droite passant par l'origine avec une pente égale à a.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"Une parabole\", \"b\": \"Une droite passant par l'origine\", \"c\": \"Une","_debug_options_count":4},{"id":4985,"question":"La solution de l'inéquation -2x + 4 ≤ 0 est x ≥ 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"En résolvant l'inéquation : -2x + 4 ≤ 0 → -2x ≤ -4 → x ≥ 2 (en divisant par un nombre négatif, le sens de l'inégalité change).","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}]