Quiz — S15 Arbii.pdf

Question 1 sur 10 20:00

[{"id":49635,"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 = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant 2x des deux côtés et en ajoutant 5, on obtient 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 = 5\"}}","_debug_options_count":4},{"id":49636,"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 sous la forme f(x) = ax + b, ce qui est le cas ici.","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":49637,"question":"Quelle est la forme canonique de l'équation x² - 6x + 5 = 0 ?","option_a":"(x - 3)² - 4 = 0","option_b":"(x + 3)² - 4 = 0","option_c":"(x - 2)² - 1 = 0","option_d":"(x + 2)² - 1 = 0","option_e":"","option_f":"","bonne_reponse":"a","explication":"En complétant le carré, on obtient (x - 3)² - 4 = 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\": \"(x - 3)² - 4 = 0\", \"b\": \"(x + 3)² - 4 = 0\", \"c\": \"(x - 2)² - 1","_debug_options_count":4},{"id":49638,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés. Vrai ou faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est le théorème de Pythagore, une propriété fondamentale en géométrie.","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":49639,"question":"Quelle est la solution de l'inéquation 2x - 7 ≤ 5 ?","option_a":"x ≤ 6","option_b":"x ≥ 6","option_c":"x ≤ 1","option_d":"x ≥ 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"En ajoutant 7 des deux côtés et en divisant par 2, on obtient 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 ≤ 1\", \"d\": \"x ≥ 1\"}}","_debug_options_count":4},{"id":49640,"question":"La fonction f(x) = x² est-elle une fonction linéaire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une fonction linéaire s'écrit sous la forme f(x) = ax, ce qui n'est pas le cas ici.","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":49641,"question":"Quelle est la pente de la droite d'équation y = -3x + 2 ?","option_a":"3","option_b":"-3","option_c":"2","option_d":"-2","option_e":"","option_f":"","bonne_reponse":"b","explication":"La pente est le coefficient de x dans l'équation de la droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"3\", \"b\": \"-3\", \"c\": \"2\", \"d\": \"-2\"}}","_debug_options_count":4},{"id":49642,"question":"Dans un cercle, le diamètre est toujours égal au double du rayon. Vrai ou faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Par définition, le diamètre est égal à 2 fois le rayon.","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":49643,"question":"Quelle est la solution de l'équation (x - 4)(x + 2) = 0 ?","option_a":"x = 4 ou x = -2","option_b":"x = -4 ou x = 2","option_c":"x = 4 ou x = 2","option_d":"x = -4 ou x = -2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un produit de facteurs est nul si l'un des facteurs est nul, donc x = 4 ou 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 = 4 ou x = -2\", \"b\": \"x = -4 ou x = 2\", \"c\": \"x = 4 ou x = 2\", ","_debug_options_count":4},{"id":49644,"question":"La fonction f(x) = 5 est-elle une fonction constante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction constante est de la forme f(x) = k, où k est une constante.","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}]