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文[1]刊登了下面的题目.已知△ABC内有一点O,且∠BAO=∠CAO=∠CBO=∠ACO,求证:△ABC三边长成等比数列.现用正弦定理给出这个题目的简单解法.证明如图1,在△ABO和△BCO中分别用正
The following problem has been published in [1]: It is known that △ ABC has a little O, and ∠BAO = ∠CAO = ∠CBO = ∠ACO, confirming that: A simple solution to this problem is shown in Figure 1. Prove that △ ABO and △ BCO are positive