Quiz — Lycée Hammem Sousse - DS 1 2017.pdf

Question 1 sur 10 20:00

[{"id":41775,"question":"Quelle est la solution de l'équation 3x - 7 = 2x + 5 ?","option_a":"x = 2","option_b":"x = 12","option_c":"x = -12","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"b","explication":"3x - 7 = 2x + 5 → 3x - 2x = 5 + 7 → x = 12.","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 = 12\", \"c\": \"x = -12\", \"d\": \"x = 5\"}}","_debug_options_count":4},{"id":41776,"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. Ici, a = 2 et b = 3, donc c'est bien une fonction affine.","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":41777,"question":"Quel est le développement de (x + 4)(x - 3) ?","option_a":"x² + x - 12","option_b":"x² - x - 12","option_c":"x² + 7x - 12","option_d":"x² - 7x - 12","option_e":"","option_f":"","bonne_reponse":"a","explication":"(x + 4)(x - 3) = x² - 3x + 4x - 12 = x² + 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\": \"x² + x - 12\", \"b\": \"x² - x - 12\", \"c\": \"x² + 7x - 12\", \"d\": \"x","_debug_options_count":4},{"id":41778,"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 l'énoncé du théorème de Pythagore, valable uniquement pour les triangles rectangles.","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":41779,"question":"Résoudre l'inéquation 5 - 2x ≤ 11.","option_a":"x ≥ -3","option_b":"x ≤ -3","option_c":"x ≥ 3","option_d":"x ≤ 3","option_e":"","option_f":"","bonne_reponse":"d","explication":"5 - 2x ≤ 11 → -2x ≤ 6 → x ≥ -3 (en divisant par un nombre négatif, on inverse le sens de l'inégalité).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"d\", \"options\": {\"a\": \"x ≥ -3\", \"b\": \"x ≤ -3\", \"c\": \"x ≥ 3\", \"d\": \"x ≤ 3\"}}","_debug_options_count":4},{"id":41780,"question":"La représentation graphique d'une fonction linéaire passe-t-elle toujours par l'origine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction linéaire s'écrit f(x) = ax. Si x = 0, alors f(0) = 0, donc la courbe passe par le point (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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":41781,"question":"Quel est le milieu du segment [AB] avec A(2; 5) et B(6; 9) ?","option_a":"(4; 7)","option_b":"(8; 14)","option_c":"(2; 4)","option_d":"(4; 4)","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le milieu M a pour coordonnées ((xA + xB)\/2 ; (yA + yB)\/2) = ((2+6)\/2 ; (5+9)\/2) = (4; 7).","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; 7)\", \"b\": \"(8; 14)\", \"c\": \"(2; 4)\", \"d\": \"(4; 4)\"}}","_debug_options_count":4},{"id":41782,"question":"La factorisation de x² - 9 est (x - 3)(x + 3). Vrai ou faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":41783,"question":"Quelle est la solution de l'équation x² - 5x + 6 = 0 ?","option_a":"x = 2 ou x = 3","option_b":"x = -2 ou x = -3","option_c":"x = 1 ou x = 6","option_d":"x = 5 ou x = 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"On factorise : (x - 2)(x - 3) = 0 → x = 2 ou 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\": \"x = 2 ou x = 3\", \"b\": \"x = -2 ou x = -3\", \"c\": \"x = 1 ou x = 6\", ","_debug_options_count":4},{"id":41784,"question":"Le théorème de Thalès s'applique-t-il uniquement aux triangles isocèles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le théorème de Thalès s'applique à tous les triangles, à condition que les droites soient parallèles.","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}]