Quiz — 3

Question 1 sur 10 20:00

[{"id":4436,"question":"Quelle est la solution de l'équation 3x² - 12 = 0 ?","option_a":"x = 2 ou x = -2","option_b":"x = 4 ou x = -4","option_c":"x = 3 ou x = -3","option_d":"x = 1 ou x = -1","option_e":"","option_f":"","bonne_reponse":"a","explication":"Résoudre 3x² - 12 = 0 revient à 3x² = 12, donc x² = 4. Les solutions sont x = 2 et 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 = 3 ou x = -3\",","_debug_options_count":4},{"id":4437,"question":"Le théorème de Thalès s'applique-t-il uniquement aux triangles semblables ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le théorème de Thalès s'applique aux triangles qui ont leurs côtés proportionnels, pas nécessairement semblables.","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":4438,"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, donc sa forme factorisée est (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":4439,"question":"Si f(x) = 2x + 5, quelle est l'image de -3 par f ?","option_a":"-1","option_b":"1","option_c":"-6","option_d":"11","option_e":"","option_f":"","bonne_reponse":"b","explication":"f(-3) = 2*(-3) + 5 = -6 + 5 = -1. L'image de -3 est donc -1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"-1\", \"b\": \"1\", \"c\": \"-6\", \"d\": \"11\"}}","_debug_options_count":4},{"id":4440,"question":"La probabilité d'obtenir un nombre pair en lançant un dé est de 1\/2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un dé a 3 nombres pairs (2, 4, 6) sur 6 faces, donc la probabilité est 3\/6 = 1\/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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":4441,"question":"Quelle est la solution de l'inéquation 5x - 7 \u003E 3x + 1 ?","option_a":"x \u003E 4","option_b":"x \u003C 4","option_c":"x \u003E 2","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"5x - 7 \u003E 3x + 1 → 2x \u003E 8 → x \u003E 4.","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 4\", \"b\": \"x \u003C 4\", \"c\": \"x \u003E 2\", \"d\": \"x \u003C 2\"}}","_debug_options_count":4},{"id":4442,"question":"Dans un triangle rectangle, le cosinus d'un angle est égal au rapport :","option_a":"côté adjacent \/ hypoténuse","option_b":"côté opposé \/ hypoténuse","option_c":"côté opposé \/ côté adjacent","option_d":"hypoténuse \/ côté adjacent","option_e":"","option_f":"","bonne_reponse":"a","explication":"Par définition, cos(θ) = côté adjacent \/ hypoténuse dans un triangle 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\": \"côté adjacent \/ hypoténuse\", \"b\": \"côté opposé \/ hypoténus","_debug_options_count":4},{"id":4443,"question":"Si une fonction affine a pour coefficient directeur 0, alors elle est constante.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction affine de la forme f(x) = mx + p avec m = 0 devient f(x) = p, donc constante.","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":4444,"question":"Quelle est la valeur de x dans l'équation (x + 1)² = 16 ?","option_a":"x = 3 ou x = -5","option_b":"x = 4 ou x = -4","option_c":"x = 15 ou x = -17","option_d":"x = 3 ou x = -3","option_e":"","option_f":"","bonne_reponse":"a","explication":"(x + 1)² = 16 → x + 1 = 4 ou x + 1 = -4 → x = 3 ou 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 = 3 ou x = -5\", \"b\": \"x = 4 ou x = -4\", \"c\": \"x = 15 ou x = -17","_debug_options_count":4},{"id":4445,"question":"La médiane d'un triangle est toujours perpendiculaire à un côté.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La médiane d'un triangle est une droite qui joint un sommet au milieu du côté opposé. Elle n'est pas toujours perpendiculaire.","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}]