Предмет: Геометрия, автор: Magic96

С1.Три плоскости параллельны. Скрещивающиеся прямые пересекают эти плоскости в точках A1,A2,A3 и B1,B2,B3 . Найдите длину отрезков A1A3 и B1B3, если B1B2=5см, A2A3=6см, A1A2:B2B3=8:15

Ответы

Автор ответа: Fatter
0

Поскольку плоскости параллельны (смотри рисунок) и длины отрезков заданы, то можно их перемещать между плоскостями не меняя углов наклона как угодно(параллельный перенос) как два карандаша между листами картона. При этом можно совместить их верхние точки и расположить их в одной плоскости перпендикулярной трём заданным. Во втором варианте показано как их можно разместить пересекающимися, но все углы и пропорции при этом сохраняются. Ответ 10 и 12,5.

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