Quiz — 63527c4369626_Exercice type devoir 4.pdf

Question 1 sur 10 20:00

[{"id":12238,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"a","explication":"3x - 5 = 10 ⇒ 3x = 15 ⇒ x = 5. La solution est donc 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\/3\", \"c\": \"x = 5\/3\", \"d\": \"x = 15\"}}","_debug_options_count":4},{"id":12239,"question":"La fonction f(x) = 2x + 3 est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction affine s'écrit f(x) = ax + b, ce qui est le cas ici avec a=2 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":12240,"question":"Quelle est l'image de 4 par la fonction f(x) = -x + 7 ?","option_a":"f(4) = 3","option_b":"f(4) = 11","option_c":"f(4) = -3","option_d":"f(4) = 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"f(4) = -4 + 7 = 3. L'image de 4 est donc 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\": \"f(4) = 3\", \"b\": \"f(4) = 11\", \"c\": \"f(4) = -3\", \"d\": \"f(4) = 1\"}}","_debug_options_count":4},{"id":12241,"question":"Un triangle isocèle a deux angles égaux à 40°. Quelle est la mesure du troisième angle ?","option_a":"100°","option_b":"80°","option_c":"40°","option_d":"60°","option_e":"","option_f":"","bonne_reponse":"a","explication":"La somme des angles d'un triangle est 180°. 180° - (40° + 40°) = 100°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"100°\", \"b\": \"80°\", \"c\": \"40°\", \"d\": \"60°\"}}","_debug_options_count":4},{"id":12242,"question":"L'inéquation 2x + 1 \u003E 5 a pour solution x \u003E 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"2x + 1 \u003E 5 ⇒ 2x \u003E 4 ⇒ x \u003E 2. La solution est bien 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":12243,"question":"Quelle est l'équation de la droite passant par les points A(1, 2) et B(3, 6) ?","option_a":"y = 2x","option_b":"y = 2x + 1","option_c":"y = x + 1","option_d":"y = 3x - 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le coefficient directeur est (6-2)\/(3-1) = 2. L'équation est y = 2x (car elle passe par l'origine).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"y = 2x\", \"b\": \"y = 2x + 1\", \"c\": \"y = x + 1\", \"d\": \"y = 3x - 1\"}}","_debug_options_count":4},{"id":12244,"question":"Un quadrilatère avec deux côtés parallèles est toujours un parallélogramme.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Un trapèze a deux côtés parallèles mais n'est pas forcément un parallélogramme (qui en a quatre).","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":12245,"question":"Résoudre l'inéquation -3x + 4 ≤ 10.","option_a":"x ≥ -2","option_b":"x ≤ -2","option_c":"x ≥ 2","option_d":"x ≤ 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"-3x + 4 ≤ 10 ⇒ -3x ≤ 6 ⇒ 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\": \"a\", \"options\": {\"a\": \"x ≥ -2\", \"b\": \"x ≤ -2\", \"c\": \"x ≥ 2\", \"d\": \"x ≤ 2\"}}","_debug_options_count":4},{"id":12246,"question":"Quelle est la nature de la fonction f(x) = -5x² + 2x - 1 ?","option_a":"Affine","option_b":"Linéaire","option_c":"Du second degré","option_d":"Constante","option_e":"","option_f":"","bonne_reponse":"c","explication":"La présence de x² indique que c'est une fonction du second degré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"Affine\", \"b\": \"Linéaire\", \"c\": \"Du second degré\", \"d\": \"Constan","_debug_options_count":4},{"id":12247,"question":"Un rectangle a une longueur de 8 cm et une largeur de 5 cm. Quelle est son aire ?","option_a":"40 cm²","option_b":"26 cm²","option_c":"13 cm²","option_d":"30 cm²","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un rectangle est longueur × largeur = 8 × 5 = 40 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"40 cm²\", \"b\": \"26 cm²\", \"c\": \"13 cm²\", \"d\": \"30 cm²\"}}","_debug_options_count":4}]