Quiz Maths 1ère année : Équations, Fonctions et Géométrie

Question 1 sur 10 10:00

[{"id":64672,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"En ajoutant 5 des deux côtés, on obtient 3x = 15, puis x = 15\/3 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64673,"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},{"id":64674,"question":"Quel est le coefficient directeur de la droite d'équation y = -4x + 7 ?","option_a":"7","option_b":"-4","option_c":"4","option_d":"-7","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur (ou pente) est le nombre devant x, ici -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64675,"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},{"id":64676,"question":"Résoudre l'inéquation 2x + 1 \u003E 5.","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E 3","option_d":"x \u003C 3","option_e":"","option_f":"","bonne_reponse":"C","explication":"En soustrayant 1, on obtient 2x \u003E 4, puis x \u003E 2 (et non x \u003E 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64677,"question":"La représentation graphique d'une fonction affine est toujours une droite.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, la représentation graphique d'une fonction affine est une droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64678,"question":"Quel est le résultat de (x + 2)(x - 3) ?","option_a":"x² - x - 6","option_b":"x² + x - 6","option_c":"x² - 6x - 1","option_d":"x² - x + 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant, on obtient x² - 3x + 2x - 6 = x² - x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64679,"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":"3² + 4² = 9 + 16 = 25 = 5², donc il est rectangle d'après le théorème de Pythagore.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64680,"question":"Quelle est l'image de 2 par la fonction f(x) = -3x² + 2x + 1 ?","option_a":"-7","option_b":"5","option_c":"11","option_d":"-11","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(2) = -3*(2)² + 2*2 + 1 = -12 + 4 + 1 = -7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64681,"question":"Le théorème de Thalès s'applique-t-il aux triangles non semblables ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Thalès nécessite que les triangles soient semblables (angles égaux).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]