Quiz — 63887606d0996_brouillon série_Séance n°7.pdf

Question 1 sur 10 20:00

[{"id":37410,"question":"Quelle est la solution de l'équation 3x - 7 = 2x + 5 ?","option_a":"x = 12","option_b":"x = -2","option_c":"x = 2","option_d":"x = -12","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant 2x des deux côtés et en ajoutant 7, 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 = -12\"}}","_debug_options_count":4},{"id":37411,"question":"Dans un triangle rectangle, si l'angle α mesure 30°, alors sin(α) est égal à :","option_a":"1\/2","option_b":"√3\/2","option_c":"√2\/2","option_d":"1","option_e":"","option_f":"","bonne_reponse":"a","explication":"sin(30°) = 1\/2 d'après le cercle trigonométrique.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"1\/2\", \"b\": \"√3\/2\", \"c\": \"√2\/2\", \"d\": \"1\"}}","_debug_options_count":4},{"id":37412,"question":"Vrai ou Faux ? La fonction f(x) = 2x + 3 est 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.","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":37413,"question":"Quelle est la représentation graphique d'une fonction linéaire ?","option_a":"Une droite passant par l'origine","option_b":"Une parabole","option_c":"Une droite parallèle à l'axe des abscisses","option_d":"Une courbe exponentielle","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction linéaire f(x) = ax passe toujours par l'origine (0,0).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Une droite passant par l'origine\", \"b\": \"Une parabole\", \"c\": \"Une","_debug_options_count":4},{"id":37414,"question":"Si deux vecteurs sont colinéaires, alors :","option_a":"Ils ont la même direction","option_b":"Ils ont la même norme","option_c":"Ils sont perpendiculaires","option_d":"Ils ont le même sens","option_e":"","option_f":"","bonne_reponse":"a","explication":"Deux vecteurs colinéaires sont portés par la même droite ou des droites parallèles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Ils ont la même direction\", \"b\": \"Ils ont la même norme\", \"c\": ","_debug_options_count":4},{"id":37415,"question":"Vrai ou Faux ? L'inéquation 2x - 5 \u003E 0 a pour solution x \u003E 2,5.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"En résolvant 2x \u003E 5, on obtient x \u003E 2,5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":37416,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x - 9)(x + 1)","option_c":"(x - 3)²","option_d":"(x + 3)²","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est une identité remarquable : a² - b² = (a - b)(a + b).","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)(x + 3)\", \"b\": \"(x - 9)(x + 1)\", \"c\": \"(x - 3)²\", \"d\": \"(","_debug_options_count":4},{"id":37417,"question":"Dans un repère orthonormé, la distance entre les points A(1; 2) et B(4; 6) est :","option_a":"5","option_b":"√7","option_c":"√25","option_d":"√13","option_e":"","option_f":"","bonne_reponse":"a","explication":"La distance est calculée par √[(4-1)² + (6-2)²] = √(9 + 16) = √25 = 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\": \"5\", \"b\": \"√7\", \"c\": \"√25\", \"d\": \"√13\"}}","_debug_options_count":4},{"id":37418,"question":"Vrai ou Faux ? La fonction f(x) = x² est une fonction paire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction paire vérifie f(-x) = f(x), ce qui est vrai pour f(x) = x².","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":37419,"question":"Quelle est la solution de l'inéquation -2x + 4 ≤ 0 ?","option_a":"x ≥ 2","option_b":"x ≤ 2","option_c":"x \u003E 2","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"b","explication":"En isolant x, on obtient -2x ≤ -4, puis 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\": \"x ≥ 2\", \"b\": \"x ≤ 2\", \"c\": \"x \u003E 2\", \"d\": \"x \u003C 2\"}}","_debug_options_count":4}]