{"paper":{"id":"site-2653","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","variant":null,"exam_pdf":null,"key_pdf":null,"question_count":5,"source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},"questions":[{"id":"site-2653/zad/3137","paper_id":"site-2653","number":"3137","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Dane są długości boków |BC|=5 i |AC|=3 trójkąta prostokątnego ABC o kącie ostrym beta (zobacz rysunek). Wtedy A. sin beta = 3/5, B. sin beta = 4/5, C. sin beta = 3 pierwiastki z 34 / 34 D. sin beta = 5 pierwiastków z 34 / 34","answer":null,"answer_text":null,"solution":null,"image":"img/site/2653/zad-3137.svg","solution_image":"img/site/2653/rozw-3137.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2653/zad/4343","paper_id":"site-2653","number":"4343","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Na płaszczyźnie dane są punkty: A = (pierwiastek z 2, pierwiastek z 6), B = (0,0) i C = (pierwiastek z 2, 0). Kąt BAC jest równy A. 30 stopni, B. 45 stopni, C. 60 stopni, D. 70 stopni.","answer":null,"answer_text":null,"solution":null,"image":"img/site/2653/zad-4343.svg","solution_image":"img/site/2653/rozw-4343.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2653/zad/5319","paper_id":"site-2653","number":"5319","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Dany jest trójkąt prostokątny o kątach ostrych α i β (zobacz rysunek). Wyrażenie 2cosα - sinβ jest równe A. 2sinβ; B. cosα; C. 0; D. 2.","answer":null,"answer_text":null,"solution":null,"image":"img/site/2653/zad-5319.svg","solution_image":"img/site/2653/rozw-5319.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2653/zad/5483","paper_id":"site-2653","number":"5483","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Rozwiązanie zadania. Dane są punkty M=(6,0), N=(6,8) oraz O=(0,0). Tangens kąta ostrego MON jest równy A. 4/3 B. 6/10 C. 3/4 D. 8/10.","answer":null,"answer_text":null,"solution":null,"image":"img/site/2653/zad-5483.svg","solution_image":"img/site/2653/rozw-5483.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2653/zad/7251","paper_id":"site-2653","number":"7251","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"W trójkącie, przedstawionym na rysunku poniżej, sinus kąta ostrego α jest równy [rysunek] A. 1/5 B. √6/12 C. 5/24 & D. 2√6/5","answer":null,"answer_text":null,"solution":null,"image":"img/site/2653/zad-7251.svg","solution_image":"img/site/2653/rozw-7251.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"}]}