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Description=Площа(AEF)+Площа(FCD)=Площа(BEFD)~~Це можна довести, якщо використати такі 2 ствердження:~~1. Середня лінія трикутника поділяє його на дві фігури,~~площі яких відносяться як 1:3~~2. Площа(BED)=Площа(FED)~~
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Caption=Пусть дан произвольный треугольник ABC,~~D и E - середины сторон BC и AB соответственно.~~F - произвольная точка на AC.~~~~Что можно сказать про площадь треугольника~~AEF и FCD и четырёхугольника BEFD?~~~~Что будет, когда F передвигать по AC?
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Caption=Площадь AEF: [area(a,e,f)] см^2~~Площадь FCD: [area(f,c,d)] см^2
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Caption=Задача математического форума #46:
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