Quiz — سلسلة الهباج-الجزء 5- دروس و تمارين محلولة.pdf

Question 1 sur 10 20:00

[{"id":5366,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"c","explication":"Pour résoudre 3x + 5 = 20, soustrayez 5 des deux côtés : 3x = 15. Divisez ensuite par 3 : x = 5. Les réponses A et C sont identiques et correctes.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"x = 5\", \"b\": \"x = 15\/3\", \"c\": \"x = 5\", \"d\": \"x = 15\"}}","_debug_options_count":4},{"id":5367,"question":"Vrai ou Faux ? Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est le théorème de Pythagore, une propriété fondamentale en géométrie.","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":5368,"question":"Quel est le résultat de (2x - 3)(x + 4) ?","option_a":"2x² + 5x - 12","option_b":"2x² + 5x + 12","option_c":"2x² - 5x - 12","option_d":"2x² + 11x - 12","option_e":"","option_f":"","bonne_reponse":"c","explication":"En développant (2x - 3)(x + 4), on obtient 2x² + 8x - 3x - 12 = 2x² + 5x - 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"2x² + 5x - 12\", \"b\": \"2x² + 5x + 12\", \"c\": \"2x² - 5x - 12\", \"d","_debug_options_count":4},{"id":5369,"question":"Vrai ou Faux ? L'aire d'un cercle de rayon r est πr².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La formule de l'aire d'un cercle est bien πr², où r est le rayon.","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":5370,"question":"Résolvez l'inéquation 2x - 7 \u003E 3.","option_a":"x \u003E 5","option_b":"x \u003C 5","option_c":"x \u003E 2","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Ajoutez 7 des deux côtés : 2x \u003E 10. Divisez par 2 : x \u003E 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\": \"x \u003E 5\", \"b\": \"x \u003C 5\", \"c\": \"x \u003E 2\", \"d\": \"x \u003C 2\"}}","_debug_options_count":4},{"id":5371,"question":"Quel est le périmètre d'un carré de côté 4 cm ?","option_a":"8 cm","option_b":"12 cm","option_c":"16 cm","option_d":"20 cm","option_e":"","option_f":"","bonne_reponse":"c","explication":"Le périmètre d'un carré est 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\": \"8 cm\", \"b\": \"12 cm\", \"c\": \"16 cm\", \"d\": \"20 cm\"}}","_debug_options_count":4},{"id":5372,"question":"Vrai ou Faux ? La somme des angles d'un triangle est égale à 180 degrés.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est une propriété fondamentale de la géométrie plane.","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":5373,"question":"Factorisez l'expression 4x² - 9.","option_a":"(2x - 3)(2x + 3)","option_b":"(4x - 9)(x + 1)","option_c":"(2x - 9)(2x + 1)","option_d":"(x - 3)(4x + 3)","option_e":"","option_f":"","bonne_reponse":"a","explication":"4x² - 9 est une différence de carrés : (2x)² - 3² = (2x - 3)(2x + 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\": \"(2x - 3)(2x + 3)\", \"b\": \"(4x - 9)(x + 1)\", \"c\": \"(2x - 9)(2x + 1)","_debug_options_count":4},{"id":5374,"question":"Quel est le volume d'un cube d'arête 3 cm ?","option_a":"9 cm³","option_b":"12 cm³","option_c":"27 cm³","option_d":"36 cm³","option_e":"","option_f":"","bonne_reponse":"c","explication":"Le volume d'un cube est arête³, soit 3³ = 27 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"9 cm³\", \"b\": \"12 cm³\", \"c\": \"27 cm³\", \"d\": \"36 cm³\"}}","_debug_options_count":4},{"id":5375,"question":"Vrai ou Faux ? Une équation du premier degré a toujours une solution unique.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une équation du premier degré (ax + b = 0) a une solution unique si 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}]