Powell Ward
04/13/2023 · Primary School
Найдите площадь сечения еди- ничного куба \( A \)... \( D_{1} \) плоскостью, проходящей через середины \( A A_{1}, C C_{1} \) и точку на ребре \( A B \), отстоящую от вершины \( A \) на \( 0,8 \).
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Площадь сечения единичного куба плоскостью, проходящей через середины \( AA_1 \), \( CC_1 \) и точку на ребре \( AB \), отстоящую от вершины \( A \) на \( 0,8 \), составляет \( S = \frac{1}{2} \left| 0.8 \cdot 0.2 + 1 \cdot 0.8 + 0 \cdot 1 + 0.2 \cdot 0 - (0 \cdot 1 + 0.2 \cdot 0 + 0.8 \cdot 0.2 + 1 \cdot 0.8) \right| \).
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