Quiz — Revision premiére trimestre.pdf

Question 1 sur 10 20:00

[{"id":7535,"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, on obtient x - 5 = 7. Puis en ajoutant 5, on trouve 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":7536,"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 avec a = 2 et b = 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":7537,"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":"Il s'agit d'une différence de carrés : x² - 9 = (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\": \"(x - 3)(x + 3)\", \"b\": \"(x - 9)(x + 1)\", \"c\": \"(x - 3)²\", \"d\": \"(","_debug_options_count":4},{"id":7538,"question":"Le milieu d'un segment [AB] avec A(2; 5) et B(4; 9) a pour coordonnées :","option_a":"(3; 7)","option_b":"(6; 14)","option_c":"(1; 2)","option_d":"(5; 10)","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le milieu a pour coordonnées ((2+4)\/2 ; (5+9)\/2) = (3; 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\": \"(3; 7)\", \"b\": \"(6; 14)\", \"c\": \"(1; 2)\", \"d\": \"(5; 10)\"}}","_debug_options_count":4},{"id":7539,"question":"L'inéquation 2x + 1 \u003E 5 a pour solution :","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant 1 puis en divisant par 2, on obtient x \u003E 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 \u003E 2\", \"b\": \"x \u003C 2\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":7540,"question":"Quelle est la valeur de l'expression (a + b)² - (a - b)² ?","option_a":"4ab","option_b":"2a² + 2b²","option_c":"a² + b²","option_d":"0","option_e":"","option_f":"","bonne_reponse":"a","explication":"En développant, on obtient (a² + 2ab + b²) - (a² - 2ab + b²) = 4ab.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"4ab\", \"b\": \"2a² + 2b²\", \"c\": \"a² + b²\", \"d\": \"0\"}}","_debug_options_count":4},{"id":7541,"question":"La droite d'équation y = -3x + 2 passe-t-elle par le point (1; -1) ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"En remplaçant x par 1, on obtient y = -3(1) + 2 = -1, ce qui correspond au point (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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":7542,"question":"Quelle est la distance entre les points A(1; 2) et B(4; 6) ?","option_a":"5","option_b":"√7","option_c":"√25","option_d":"√34","option_e":"","option_f":"","bonne_reponse":"c","explication":"La distance est √[(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\": \"c\", \"options\": {\"a\": \"5\", \"b\": \"√7\", \"c\": \"√25\", \"d\": \"√34\"}}","_debug_options_count":4},{"id":7543,"question":"L'équation x² + 4x + 4 = 0 a pour solution :","option_a":"x = -2 (double)","option_b":"x = 2","option_c":"x = -4","option_d":"Aucune solution","option_e":"","option_f":"","bonne_reponse":"a","explication":"Il s'agit d'un carré parfait : (x + 2)² = 0, donc x = -2 (solution double).","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 (double)\", \"b\": \"x = 2\", \"c\": \"x = -4\", \"d\": \"Aucune solut","_debug_options_count":4},{"id":7544,"question":"Le vecteur u(3; -2) et le vecteur v(-3; 2) sont-ils colinéaires ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Les vecteurs sont colinéaires car v = -u, ce qui signifie qu'ils sont parallèles et de même direction opposée.","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}]