我不会这一题,请大家说说应该怎样做,题目如下:?
回答 (1)
2.
Join AC.
AC = AC (common)
AE = AF (given)
∠AEC = ∠AFC = 90° (given)
Hence, ΔAEC ≅ ΔAFC (RHS)
Area of ΔAEC = Area of ΔAFC
Area of quad. AECF = 32 cm²
(Area of ΔAEC) + (Area of ΔAFC) = 32 cm²
Area of ΔAFC = 16 cm²
Area of rhombus ABCD = 80 cm²
Area of ΔADC = 40 cm² (diagonal equally bisects the rhombus)
ΔAFC and ΔADC have the same altitude CF.
(Area of ΔAFC) : (Area of ΔADC) = AF : (AF + DF)
16 : 40 = AF : (AF + DF)
40AF = 16AF + 16DF
24AF = 16DF
AF = (2/3)DF
AF = (2/3) × 6 cm
AF = 4 cm
收錄日期: 2021-04-18 00:06:49
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