{"paper":{"id":"site-7234","subject":"matematyka","category":"zbiory","year":2013,"month":null,"level":"podstawowa","variant":null,"exam_pdf":null,"key_pdf":null,"question_count":3,"source_label":"Matematyka · Zbiory zadań · 2013 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},"questions":[{"id":"site-7234/zad/7253","paper_id":"site-7234","number":"7253","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":2013,"month":null,"level":"podstawowa","text":"Dane są dwa okręgi o promieniach 10 i 15. Mniejszy okrąg przechodzi przez środek większego okręgu. Odległość między środkami tych okręgów jest równa A. 2,5 B. 5 C. 10 D. 12,5","answer":null,"answer_text":null,"solution":null,"image":"img/site/7234/zad-7253.svg","solution_image":"img/site/7234/rozw-7253.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 · 2013 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-7234/zad/7259","paper_id":"site-7234","number":"7259","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":2013,"month":null,"level":"podstawowa","text":"Rozwiąż równanie x(x+1) / x-1 = 5x-4, dla x≠1.","answer":null,"answer_text":null,"solution":null,"image":"img/site/7234/zad-7259.svg","solution_image":"img/site/7234/rozw-7259.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 · 2013 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-7234/zad/7266","paper_id":"site-7234","number":"7266","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":2013,"month":null,"level":"podstawowa","text":"Dane są wierzchołki trójkąta ABC: A=(2,2), B=(9,5) i C=(3,9). Z wierzchołka C poprowadzono wysokość tego trójkąta, która przecina bok AB w punkcie D. Wyznacz równanie prostej przechodzącej przez punkt D i równoległej do boku BC.","answer":null,"answer_text":null,"solution":null,"image":"img/site/7234/zad-7266.svg","solution_image":"img/site/7234/rozw-7266.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 · 2013 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"}]}