Quiz interactif : Algèbre et Géométrie pour la 1ère année secondaire

Question 1 sur 10 10:00

[{"id":65182,"question":"Quelle est la solution de l'équation 3x - 5 = 1 ?","option_a":"x = 2","option_b":"x = 1","option_c":"x = 3","option_d":"x = -1","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 1 → 3x = 6 → x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65183,"question":"Dans un triangle rectangle, la somme des angles aigus est égale à 90°. Vrai ou Faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La somme des angles d'un triangle est 180°, donc 180° - 90° = 90° pour les deux angles aigus.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65184,"question":"Quelle est la forme développée de (x + 3)(x - 2) ?","option_a":"x² + x - 6","option_b":"x² - x + 6","option_c":"x² + x + 6","option_d":"x² - x - 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"(x + 3)(x - 2) = x² - 2x + 3x - 6 = x² + x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65185,"question":"L'équation 2x + 4 = 0 a pour solution x = -2. Vrai ou Faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 4 = 0 → 2x = -4 → x = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65186,"question":"Quel est le milieu du segment [AB] avec A(1 ; 3) et B(5 ; 7) ?","option_a":"(3 ; 5)","option_b":"(2 ; 4)","option_c":"(4 ; 6)","option_d":"(1 ; 3)","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le milieu a pour coordonnées ((1+5)\/2 ; (3+7)\/2) = (3 ; 5).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65187,"question":"La fonction f(x) = 2x + 1 est une fonction affine. Vrai ou Faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s'écrit f(x) = ax + b, ici a = 2 et b = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65188,"question":"Résoudre l'inéquation 5 - 2x \u003E 1.","option_a":"x \u003C 2","option_b":"x \u003E 2","option_c":"x ≤ 2","option_d":"x ≥ 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"5 - 2x \u003E 1 → -2x \u003E -4 → x \u003C 2 (en divisant par un nombre négatif, le sens change).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65189,"question":"Dans un parallélogramme, les diagonales se coupent en leur milieu. Vrai ou Faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale des parallélogrammes.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65190,"question":"Quelle est la distance entre les points A(0 ; 0) et B(3 ; 4) ?","option_a":"5","option_b":"7","option_c":"12","option_d":"1","option_e":"","option_f":"","bonne_reponse":"A","explication":"Distance = √((3-0)² + (4-0)²) = √(9 + 16) = √25 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65191,"question":"L'équation x² = 9 a pour solutions x = 3 et x = -3. Vrai ou Faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² = 9 → x = √9 ou x = -√9 → x = 3 ou x = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]