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Консультация № 195122
04.04.2019, 15:21
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Здравствуйте, уважаемые эксперты!
Прошу помочь с решением:
1) Дан прямоугольный параллелепипед ABCDA1B1C1D1 , у которого AB:BC= . Точки K и K1 – середины рёбер AD и A1D1 соответственно. Сфера пересекает отрезок K1K в точках K1 и M и касается всех звеньев ломаной CKBB1C1 . Найдите объём параллелепипеда и радиус сферы, если K1M=1
2) B правильной четырёхугольной пирамиде SABCD ( S – вершина) SA=2AB . Перпендикуляр, опущенный из точки B на ребро SD , пересекает его в точке K . На апофеме SF грани SAB взята точка M так, что SM:SF=4:5 . Сфера с центром на прямой MK , проходит через точки B , K и пересекает прямую AB в точке P , причём BP=d . Найдите длину отрезка AB .
Прошу помочь с решением:
1) Дан прямоугольный параллелепипед ABCDA1B1C1D1 , у которого AB:BC= . Точки K и K1 – середины рёбер AD и A1D1 соответственно. Сфера пересекает отрезок K1K в точках K1 и M и касается всех звеньев ломаной CKBB1C1 . Найдите объём параллелепипеда и радиус сферы, если K1M=1
2) B правильной четырёхугольной пирамиде SABCD ( S – вершина) SA=2AB . Перпендикуляр, опущенный из точки B на ребро SD , пересекает его в точке K . На апофеме SF грани SAB взята точка M так, что SM:SF=4:5 . Сфера с центром на прямой MK , проходит через точки B , K и пересекает прямую AB в точке P , причём BP=d . Найдите длину отрезка AB .
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