Quiz de révision : Mathématiques 1ère AS — 1er trimestre

Question 1 sur 10 10:00

[{"id":61597,"question":"Quelle est la priorité opératoire correcte pour calculer 3 + 5 × 2 ?","option_a":"3 + (5 × 2) = 13","option_b":" (3 + 5) × 2 = 16","option_c":"5 × 2 + 3 = 13","option_d":"Aucune des réponses","option_e":"","option_f":"","bonne_reponse":"A","explication":"La multiplication est prioritaire sur l'addition. On calcule d'abord 5 × 2 = 10, puis 3 + 10 = 13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61598,"question":"L'équation 2x + 3 = 7 a pour solution x = 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x par 2, on obtient 2×2 + 3 = 7, ce qui est correct. La solution est donc x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61599,"question":"Quelle est la forme factorisée de l'expression 4x² - 9 ?","option_a":"(2x - 3)(2x + 3)","option_b":"(4x - 3)(x + 3)","option_c":"(2x - 3)²","option_d":"(2x + 3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"Il s'agit d'une différence de carrés : 4x² - 9 = (2x)² - 3² = (2x - 3)(2x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61600,"question":"La fonction f(x) = 3x + 2 est une fonction linéaire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction linéaire s'écrit sous la forme f(x) = ax. Ici, f(x) = 3x + 2 est une fonction affine (car elle contient un terme constant).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61601,"question":"Quel est le résultat de (-2)³ ?","option_a":"-8","option_b":"8","option_c":"-6","option_d":"6","option_e":"","option_f":"","bonne_reponse":"A","explication":"(-2)³ = (-2) × (-2) × (-2) = -8. Un nombre négatif élevé à une puissance impaire reste négatif.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61602,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore énonce que dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61603,"question":"Quelle est la solution de l'inéquation 5x - 3 \u003E 2x + 6 ?","option_a":"x \u003E 3","option_b":"x \u003C 3","option_c":"x \u003E 1","option_d":"x \u003C 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"5x - 3 \u003E 2x + 6 → 5x - 2x \u003E 6 + 3 → 3x \u003E 9 → x \u003E 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61604,"question":"La médiane d'une série statistique est toujours égale à la moyenne.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La médiane et la moyenne sont deux indicateurs différents. La médiane est la valeur centrale, tandis que la moyenne est la somme des valeurs divisée par leur nombre.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61605,"question":"Quel est le développement de (x + 4)(x - 2) ?","option_a":"x² + 2x - 8","option_b":"x² - 2x + 8","option_c":"x² + 6x - 8","option_d":"x² - 6x - 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"(x + 4)(x - 2) = x² - 2x + 4x - 8 = x² + 2x - 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":61606,"question":"Le théorème de Thalès permet de calculer des longueurs dans des triangles semblables.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Thalès énonce que si deux droites sont parallèles, alors elles divisent les côtés d'un triangle en segments de longueurs proportionnelles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]