Quiz — 66549204c6c08_Correction Devoir de révision (synthèse N°3).pdf

Question 1 sur 10 20:00

[{"id":10673,"question":"Quelle est la formule de la dérivée de la fonction f(x) = x² + 3x - 5 ?","option_a":"A : 2x + 3","option_b":"B : x² + 3","option_c":"C : 2x - 5","option_d":"D : 3x + 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée de x² est 2x, celle de 3x est 3, et celle de -5 est 0. Donc f'(x) = 2x + 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 : 2x + 3\", \"b\": \"B : x² + 3\", \"c\": \"C : 2x - 5\", \"d\": \"D : 3x ","_debug_options_count":4},{"id":10674,"question":"Un triangle rectangle a des côtés de longueurs 3 cm et 4 cm. Quelle est la longueur de l'hypoténuse ?","option_a":"A : 5 cm","option_b":"B : 7 cm","option_c":"C : √7 cm","option_d":"D : 12 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'après le théorème de Pythagore : hypoténuse² = 3² + 4² = 9 + 16 = 25. Donc hypoténuse = √25 = 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\": \"A : 5 cm\", \"b\": \"B : 7 cm\", \"c\": \"C : √7 cm\", \"d\": \"D : 12 cm\"}","_debug_options_count":4},{"id":10675,"question":"La fonction f(x) = 1\/x est définie pour x = 0.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La fonction f(x) = 1\/x n'est pas définie en x = 0 car la division par zéro est impossible.","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":10676,"question":"Quelle est la solution de l'équation 2x - 7 = 11 ?","option_a":"A : x = 9","option_b":"B : x = 4","option_c":"C : x = 18","option_d":"D : x = -2","option_e":"","option_f":"","bonne_reponse":"a","explication":"2x - 7 = 11 → 2x = 18 → x = 9.","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 = 9\", \"b\": \"B : x = 4\", \"c\": \"C : x = 18\", \"d\": \"D : x = -2","_debug_options_count":4},{"id":10677,"question":"La somme des angles d'un triangle est toujours égale à 180°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est une propriété fondamentale de la géométrie euclidienne : la somme des angles d'un triangle est toujours 180°.","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":10678,"question":"Quelle est la factorisation de l'expression x² - 9 ?","option_a":"A : (x - 3)(x + 3)","option_b":"B : (x - 9)(x + 1)","option_c":"C : (x - 3)²","option_d":"D : x(x - 9)","option_e":"","option_f":"","bonne_reponse":"a","explication":"x² - 9 est une différence de carrés : (x)² - (3)² = (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 - 3)","_debug_options_count":4},{"id":10679,"question":"Un parallélogramme a des côtés opposés de même longueur.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Par définition, un parallélogramme a ses côtés opposés parallèles et de même longueur.","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":10680,"question":"Quelle est la valeur de l'expression 3 × (4 + 2) ?","option_a":"A : 18","option_b":"B : 14","option_c":"C : 24","option_d":"D : 10","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'abord, on calcule la parenthèse : 4 + 2 = 6. Ensuite, 3 × 6 = 18.","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 : 18\", \"b\": \"B : 14\", \"c\": \"C : 24\", \"d\": \"D : 10\"}}","_debug_options_count":4},{"id":10681,"question":"La fonction f(x) = √x est définie pour x ≥ 0.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La fonction racine carrée √x n'est définie que pour les nombres positifs ou nuls (x ≥ 0).","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":10682,"question":"Quelle est la solution de l'inéquation 5x + 2 \u003E 12 ?","option_a":"A : x \u003E 2","option_b":"B : x \u003E -2","option_c":"C : x \u003C 2","option_d":"D : x \u003E 10","option_e":"","option_f":"","bonne_reponse":"a","explication":"5x + 2 \u003E 12 → 5x \u003E 10 → 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\": \"A : x \u003E 2\", \"b\": \"B : x \u003E -2\", \"c\": \"C : x \u003C 2\", \"d\": \"D : x \u003E 10","_debug_options_count":4}]