Quiz — Ex 4 (2019-2020).pptx

Question 1 sur 10 20:00

[{"id":151755,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 7 ?","option_a":"x = 12","option_b":"x = -2","option_c":"x = 2","option_d":"x = 10","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 2x + 7, on soustrait 2x des deux côtés : x - 5 = 7, puis on ajoute 5 : x = 12.","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 = 12\", \"b\": \"x = -2\", \"c\": \"x = 2\", \"d\": \"x = 10\"}}","_debug_options_count":4},{"id":151756,"question":"La fonction f(x) = 2x² - 3x + 1 est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b. Ici, f(x) = 2x² - 3x + 1 est une fonction polynôme du second degré, donc non affine.","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":151757,"question":"Quel est le coefficient directeur de la droite d'équation y = -4x + 3 ?","option_a":"-4","option_b":"3","option_c":"4","option_d":"-3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Dans l'équation d'une droite y = ax + b, le coefficient directeur est 'a'. 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\": \"3\", \"c\": \"4\", \"d\": \"-3\"}}","_debug_options_count":4},{"id":151758,"question":"Dans un triangle rectangle, si l'hypoténuse mesure 10 cm et un côté mesure 6 cm, quelle est la longueur du troisième côté ?","option_a":"8 cm","option_b":"√64 cm","option_c":"10 cm","option_d":"12 cm","option_e":"","option_f":"","bonne_reponse":"b","explication":"D'après le théorème de Pythagore : 10² = 6² + x² → 100 = 36 + x² → x² = 64 → x = 8 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"8 cm\", \"b\": \"√64 cm\", \"c\": \"10 cm\", \"d\": \"12 cm\"}}","_debug_options_count":4},{"id":151759,"question":"La probabilité d'un événement impossible est-elle égale à 0 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Par définition, la probabilité d'un événement impossible est 0, tandis que celle d'un événement certain est 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":151760,"question":"Quelle est la dérivée de la fonction f(x) = 5x³ - 2x² + x - 7 ?","option_a":"f'(x) = 15x² - 4x + 1","option_b":"f'(x) = 5x² - 2x + 1","option_c":"f'(x) = 15x² - 4x","option_d":"f'(x) = 15x² - 2x + 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée de f(x) = 5x³ - 2x² + x - 7 est f'(x) = 15x² - 4x + 1 (en appliquant la règle de dérivation des puissances).","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'(x) = 15x² - 4x + 1\", \"b\": \"f'(x) = 5x² - 2x + 1\", \"c\": \"f'(x","_debug_options_count":4},{"id":151761,"question":"Un dé équilibré à 6 faces est lancé. Quelle est la probabilité d'obtenir un nombre pair ?","option_a":"1\/6","option_b":"1\/3","option_c":"1\/2","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"c","explication":"Les nombres pairs sur un dé sont 2, 4 et 6, soit 3 possibilités sur 6. La probabilité est donc 3\/6 = 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"1\/6\", \"b\": \"1\/3\", \"c\": \"1\/2\", \"d\": \"2\/3\"}}","_debug_options_count":4},{"id":151762,"question":"La somme des angles d'un triangle est-elle toujours égale à 180° ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Dans un triangle, la somme des trois angles est toujours égale à 180°, que ce soit un triangle rectangle, isocèle ou quelconque.","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":151763,"question":"Résoudre l'inéquation 2x + 5 ≤ 3x - 1.","option_a":"x ≥ 6","option_b":"x ≤ 6","option_c":"x ≥ -6","option_d":"x ≤ -6","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 2x + 5 ≤ 3x - 1, on soustrait 2x : 5 ≤ x - 1, puis on ajoute 1 : 6 ≤ x, soit x ≥ 6.","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 ≥ 6\", \"b\": \"x ≤ 6\", \"c\": \"x ≥ -6\", \"d\": \"x ≤ -6\"}}","_debug_options_count":4},{"id":151764,"question":"Quel est le volume d'une sphère de rayon r = 3 cm ?","option_a":"36π cm³","option_b":"12π cm³","option_c":"27π cm³","option_d":"4π cm³","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le volume d'une sphère est donné par V = (4\/3)πr³. Avec r = 3 cm, V = (4\/3)π(27) = 36π cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"36π cm³\", \"b\": \"12π cm³\", \"c\": \"27π cm³\", \"d\": \"4π cm³\"}}","_debug_options_count":4}]