1.AB是半圆O的直径.C是AB弧的中点,M是弦AC的中点,CH⊥BM,垂足为H.求证:CH^2=AH*OH(ps,这题有点思路.可做到一半证不下去了.)(要证:CH^2=AH*OH ,只需证CH/OH=AH/CH,即证△CHA∽△OHC,即证∠ACH=∠COH.∠C
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![1.AB是半圆O的直径.C是AB弧的中点,M是弦AC的中点,CH⊥BM,垂足为H.求证:CH^2=AH*OH(ps,这题有点思路.可做到一半证不下去了.)(要证:CH^2=AH*OH ,只需证CH/OH=AH/CH,即证△CHA∽△OHC,即证∠ACH=∠COH.∠C](/uploads/image/z/1994239-55-9.jpg?t=1.AB%E6%98%AF%E5%8D%8A%E5%9C%86O%E7%9A%84%E7%9B%B4%E5%BE%84.C%E6%98%AFAB%E5%BC%A7%E7%9A%84%E4%B8%AD%E7%82%B9%2CM%E6%98%AF%E5%BC%A6AC%E7%9A%84%E4%B8%AD%E7%82%B9%2CCH%E2%8A%A5BM%2C%E5%9E%82%E8%B6%B3%E4%B8%BAH.%E6%B1%82%E8%AF%81%EF%BC%9ACH%5E2%3DAH%2AOH%EF%BC%88ps%2C%E8%BF%99%E9%A2%98%E6%9C%89%E7%82%B9%E6%80%9D%E8%B7%AF.%E5%8F%AF%E5%81%9A%E5%88%B0%E4%B8%80%E5%8D%8A%E8%AF%81%E4%B8%8D%E4%B8%8B%E5%8E%BB%E4%BA%86.%EF%BC%89%EF%BC%88%E8%A6%81%E8%AF%81%EF%BC%9ACH%5E2%3DAH%2AOH+%2C%E5%8F%AA%E9%9C%80%E8%AF%81CH%2FOH%3DAH%2FCH%2C%E5%8D%B3%E8%AF%81%E2%96%B3CHA%E2%88%BD%E2%96%B3OHC%2C%E5%8D%B3%E8%AF%81%E2%88%A0ACH%3D%E2%88%A0COH.%E2%88%A0C)
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