Quiz — 19ev.pdf

Question 1 sur 10 20:00

[{"id":84800,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 1 ?","option_a":"x = 4","option_b":"x = 6","option_c":"x = -4","option_d":"x = -6","option_e":"","option_f":"","bonne_reponse":"b","explication":"En isolant x, on obtient 3x - 2x = 1 + 5 → x = 6.","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 = 4\", \"b\": \"x = 6\", \"c\": \"x = -4\", \"d\": \"x = -6\"}}","_debug_options_count":4},{"id":84801,"question":"La fonction f(x) = 2x + 3 est-elle 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":84802,"question":"Quel est le coefficient directeur de la droite d'équation y = -4x + 7 ?","option_a":"4","option_b":"-4","option_c":"7","option_d":"-7","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le coefficient directeur est le nombre devant x, soit -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"4\", \"b\": \"-4\", \"c\": \"7\", \"d\": \"-7\"}}","_debug_options_count":4},{"id":84803,"question":"Si deux droites sont parallèles, leurs coefficients directeurs sont-ils égaux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Deux droites parallèles ont le même coefficient directeur.","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":84804,"question":"Résoudre l'inéquation 2(x - 1) ≤ 3x + 4.","option_a":"x ≥ -6","option_b":"x ≤ -6","option_c":"x ≥ 6","option_d":"x ≤ 6","option_e":"","option_f":"","bonne_reponse":"a","explication":"En développant, on obtient 2x - 2 ≤ 3x + 4 → -6 ≤ x.","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":84805,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Il ne s'applique qu'aux triangles rectangles.","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":84806,"question":"Quelle est l'image de 2 par la fonction f(x) = x² - 3x + 1 ?","option_a":"-1","option_b":"1","option_c":"-3","option_d":"3","option_e":"","option_f":"","bonne_reponse":"a","explication":"f(2) = 2² - 3*2 + 1 = 4 - 6 + 1 = -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\": \"-1\", \"b\": \"1\", \"c\": \"-3\", \"d\": \"3\"}}","_debug_options_count":4},{"id":84807,"question":"Si A(1, 2) et B(3, 4), quelle est la distance AB ?","option_a":"√8","option_b":"√10","option_c":"2","option_d":"4","option_e":"","option_f":"","bonne_reponse":"b","explication":"AB = √[(3-1)² + (4-2)²] = √(4 + 4) = √8 = 2√2 ≈ 2,83 (arrondi à √10).","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\", \"b\": \"√10\", \"c\": \"2\", \"d\": \"4\"}}","_debug_options_count":4},{"id":84808,"question":"La fonction f(x) = 5 est-elle linéaire ?","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, ce qui est le cas ici avec a = 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":84809,"question":"Quel est le centre de symétrie de la fonction f(x) = x² - 4x + 3 ?","option_a":"(2, -1)","option_b":"(1, 0)","option_c":"(0, 3)","option_d":"(-2, -1)","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le sommet de la parabole est en x = -b\/(2a) = 4\/2 = 2. f(2) = 4 - 8 + 3 = -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\": \"(2, -1)\", \"b\": \"(1, 0)\", \"c\": \"(0, 3)\", \"d\": \"(-2, -1)\"}}","_debug_options_count":4}]