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2018-03-05
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假设 CE = 2,
BE = 4, AC = 3, BC = 6
AB = 3 Sqrt(5), CD = 1.2 Sqrt(5)
AE = Sqrt(13)
tan(CAE) = 2/3
公式: tan(A − B) = (tan A − tan B) / (1 + tan A tan B)
tan(BAE) = 4/7
EF= 4/7 * AE = 4 Sqrt(13) / 7
AD = CD /2 = 0.5 Sqrt(5)
AG = 3 Sqrt(13)/7
EG = AE - AG = 4 Sqrt(13) / 7
所以 EG = EF
BE = 4, AC = 3, BC = 6
AB = 3 Sqrt(5), CD = 1.2 Sqrt(5)
AE = Sqrt(13)
tan(CAE) = 2/3
公式: tan(A − B) = (tan A − tan B) / (1 + tan A tan B)
tan(BAE) = 4/7
EF= 4/7 * AE = 4 Sqrt(13) / 7
AD = CD /2 = 0.5 Sqrt(5)
AG = 3 Sqrt(13)/7
EG = AE - AG = 4 Sqrt(13) / 7
所以 EG = EF
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