Quiz — syn1_math.pdf

Question 1 sur 10 20:00

[{"id":23019,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"A. x = 5","option_b":"B. x = 3","option_c":"C. x = 7","option_d":"D. x = 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 aux deux côtés : 3x = 15, puis on divise par 3 : x = 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\": \"A. x = 5\", \"b\": \"B. x = 3\", \"c\": \"C. x = 7\", \"d\": \"D. x = 2\"}}","_debug_options_count":4},{"id":23020,"question":"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 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":23021,"question":"Quel est le périmètre d'un carré de côté 4 cm ?","option_a":"A. 8 cm","option_b":"B. 12 cm","option_c":"C. 16 cm","option_d":"D. 20 cm","option_e":"","option_f":"","bonne_reponse":"c","explication":"Le périmètre d'un carré se calcule par 4 × côté, soit 4 × 4 = 16 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"A. 8 cm\", \"b\": \"B. 12 cm\", \"c\": \"C. 16 cm\", \"d\": \"D. 20 cm\"}}","_debug_options_count":4},{"id":23022,"question":"L'aire d'un triangle rectangle de côtés 3 cm et 4 cm est de 12 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'aire d'un triangle rectangle se calcule par (base × hauteur) \/ 2, soit (3 × 4) \/ 2 = 6 cm².","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":23023,"question":"Quelle est la forme développée de (x + 2)(x - 3) ?","option_a":"A. x² - x - 6","option_b":"B. x² + x - 6","option_c":"C. x² - 5x - 6","option_d":"D. x² - x + 6","option_e":"","option_f":"","bonne_reponse":"a","explication":"En développant (x + 2)(x - 3), on obtient x² - 3x + 2x - 6 = x² - 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\": \"A. x² - x - 6\", \"b\": \"B. x² + x - 6\", \"c\": \"C. x² - 5x - 6\", \"","_debug_options_count":4},{"id":23024,"question":"Le point A(2 ; 5) appartient-il à la droite d'équation y = 2x + 1 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"En remplaçant x par 2 dans l'équation, on obtient y = 2×2 + 1 = 5, ce qui correspond aux coordonnées de A.","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":23025,"question":"Quelle est la solution de l'inéquation 2x + 4 \u003E 10 ?","option_a":"A. x \u003E 3","option_b":"B. x \u003C 3","option_c":"C. x \u003E 6","option_d":"D. x \u003C 6","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant 4 des deux côtés, on obtient 2x \u003E 6, puis en divisant par 2 : x \u003E 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\": \"A. x \u003E 3\", \"b\": \"B. x \u003C 3\", \"c\": \"C. x \u003E 6\", \"d\": \"D. x \u003C 6\"}}","_debug_options_count":4},{"id":23026,"question":"Le triangle ABC avec AB = 5 cm, BC = 12 cm et AC = 13 cm est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"On vérifie si AB² + BC² = AC² : 5² + 12² = 25 + 144 = 169 = 13². Le triangle est donc rectangle en 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":23027,"question":"Quelle est la valeur de x dans l'équation 4(x - 1) = 2x + 6 ?","option_a":"A. x = 5","option_b":"B. x = 3","option_c":"C. x = 4","option_d":"D. x = 2","option_e":"","option_f":"","bonne_reponse":"b","explication":"En développant, on obtient 4x - 4 = 2x + 6. En soustrayant 2x et en ajoutant 4, on a 2x = 10, soit x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"A. x = 5\", \"b\": \"B. x = 3\", \"c\": \"C. x = 4\", \"d\": \"D. x = 2\"}}","_debug_options_count":4},{"id":23028,"question":"La fonction f(x) = x² est-elle croissante sur l'intervalle [-2 ; 0] ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La fonction x² est décroissante sur [-2 ; 0] car sa dérivée 2x est négative sur cet intervalle.","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}]