Quiz interactif généré par IA à partir du document : devoir-de-synthèse-n°2--2015-2016(mr-loukil-mohamed).pdf
Question 1 sur 10 20:00
[{"id":17419,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 7","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x + 5 = 20, soustrayez 5 des deux côtés : 3x = 15, puis divisez 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\": \"x = 5\", \"b\": \"x = 15\", \"c\": \"x = 7\", \"d\": \"x = 3\"}}","_debug_options_count":4},{"id":17420,"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":"Le théorème de Pythagore 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":17421,"question":"Quelle est la représentation graphique d'une fonction affine ?","option_a":"Une droite","option_b":"Une parabole","option_c":"Un cercle","option_d":"Une hyperbole","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction affine est représentée par une droite dans un repère orthonormé.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Une droite\", \"b\": \"Une parabole\", \"c\": \"Un cercle\", \"d\": \"Une hyp","_debug_options_count":4},{"id":17422,"question":"Si f(x) = 2x + 3, alors f(4) = ?","option_a":"11","option_b":"8","option_c":"5","option_d":"10","option_e":"","option_f":"","bonne_reponse":"a","explication":"Remplacez x par 4 dans l'expression : f(4) = 2*4 + 3 = 8 + 3 = 11.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"11\", \"b\": \"8\", \"c\": \"5\", \"d\": \"10\"}}","_debug_options_count":4},{"id":17423,"question":"L'aire d'un triangle est toujours égale à (base × hauteur) \/ 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Cette formule est valable pour tous les triangles, quel que soit leur type.","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":17424,"question":"Quelle est la solution de l'inéquation 2x - 7 \u003E 3 ?","option_a":"x \u003E 5","option_b":"x \u003E 2","option_c":"x \u003C 5","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Ajoutez 7 des deux côtés : 2x \u003E 10, puis 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 \u003E 2\", \"c\": \"x \u003C 5\", \"d\": \"x \u003C 2\"}}","_debug_options_count":4},{"id":17425,"question":"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 l'énoncé du théorème de Pythagore.","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":17426,"question":"Quelle est la pente d'une droite d'équation y = -3x + 2 ?","option_a":"-3","option_b":"2","option_c":"3","option_d":"-2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Dans l'équation y = mx + b, m représente la pente. Ici, m = -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\": \"-3\", \"b\": \"2\", \"c\": \"3\", \"d\": \"-2\"}}","_debug_options_count":4},{"id":17427,"question":"Si un triangle a des côtés de longueurs 3, 4 et 5, est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Vérifiez avec le théorème de Pythagore : 3² + 4² = 5² (9 + 16 = 25). Le triangle est rectangle.","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":17428,"question":"Quelle est la solution de l'équation x² - 9 = 0 ?","option_a":"x = 3","option_b":"x = -3","option_c":"x = 3 ou x = -3","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"c","explication":"x² - 9 = 0 ⇒ x² = 9 ⇒ x = 3 ou x = -3.","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 = 3\", \"b\": \"x = -3\", \"c\": \"x = 3 ou x = -3\", \"d\": \"x = 0\"}}","_debug_options_count":4}]
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