Параллельность плоскостей. Построение сечений. 1. Луч КМ пересекает параллельные плоскости а и б в точках М1 и М2, а луч КР - в точках Р1 и Р2 соответственно. Вычислите длину отрезка М1М2, если КМ1=8см, М1:М2Р2=4:9. 2. Дан тетраэдр АВСD, все грани - равносторонние треугольники со стороной 4см. Точка М - середина ребра DC, точка К - середина ребра AD. Постройте сечение тетраэдра плоскостью, содержащей точку К и параллельной плоскости AMB. Найти его периметр. 3. Постройте сечение, проходящее через указанные точки.

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