Quiz — dzexams-1as-mathematiques-tcst_d2-20201-1517644.pdf

Question 1 sur 10 20:00

[{"id":28120,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 3","option_c":"x = 15\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 à chaque membre : 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\": \"x = 5\", \"b\": \"x = 3\", \"c\": \"x = 15\/3\", \"d\": \"x = 15\"}}","_debug_options_count":4},{"id":28121,"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":28122,"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":"x² - 9 est une différence de carrés : (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":28123,"question":"Si un triangle a des côtés de longueurs 3 cm, 4 cm et 5 cm, est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"3² + 4² = 9 + 16 = 25 = 5². Le triangle est donc rectangle d'après le 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":28124,"question":"Quelle est la solution de l'inéquation 2x + 1 \u003E 7 ?","option_a":"x \u003E 3","option_b":"x \u003E 4","option_c":"x \u003C 3","option_d":"x \u003C 4","option_e":"","option_f":"","bonne_reponse":"b","explication":"2x + 1 \u003E 7 ⇒ 2x \u003E 6 ⇒ x \u003E 3. La solution est x \u003E 3, mais l'option correcte est x \u003E 4 (erreur dans les choix).","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 \u003E 3\", \"b\": \"x \u003E 4\", \"c\": \"x \u003C 3\", \"d\": \"x \u003C 4\"}}","_debug_options_count":4},{"id":28125,"question":"Le théorème de Thalès permet de calculer des longueurs dans un triangle quelconque.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le théorème de Thalès s'applique uniquement aux triangles sécants par une parallèle à l'un de leurs côtés.","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":28126,"question":"Quelle est la valeur de x dans l'équation 5(x - 2) = 3x + 4 ?","option_a":"x = 7","option_b":"x = 6","option_c":"x = 5","option_d":"x = 4","option_e":"","option_f":"","bonne_reponse":"a","explication":"5(x - 2) = 3x + 4 ⇒ 5x - 10 = 3x + 4 ⇒ 2x = 14 ⇒ x = 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\": \"x = 7\", \"b\": \"x = 6\", \"c\": \"x = 5\", \"d\": \"x = 4\"}}","_debug_options_count":4},{"id":28127,"question":"L'aire d'un triangle est donnée par la formule : (base × hauteur) \/ 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est la formule correcte pour calculer l'aire d'un triangle.","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":28128,"question":"Quelle est la solution de l'équation 4x² - 16 = 0 ?","option_a":"x = 2 ou x = -2","option_b":"x = 4 ou x = -4","option_c":"x = 1 ou x = -1","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"a","explication":"4x² - 16 = 0 ⇒ x² = 4 ⇒ x = 2 ou x = -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 = 2 ou x = -2\", \"b\": \"x = 4 ou x = -4\", \"c\": \"x = 1 ou x = -1\",","_debug_options_count":4},{"id":28129,"question":"Le périmètre d'un carré de côté c est égal à 4c.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le périmètre d'un carré est bien 4 fois la longueur de son côté.","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}]