如图,在Rt△ABC中,AB=AC,O是BC边的中点,D,E分别是AB,AC上的点,AE=BD,且OD、OE的长是关于x的方程2x²-2(k-1)x+(2k²-7x+5)=0的两根,求k的值
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![如图,在Rt△ABC中,AB=AC,O是BC边的中点,D,E分别是AB,AC上的点,AE=BD,且OD、OE的长是关于x的方程2x²-2(k-1)x+(2k²-7x+5)=0的两根,求k的值](/uploads/image/z/11474201-65-1.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8Rt%E2%96%B3ABC%E4%B8%AD%2CAB%3DAC%2CO%E6%98%AFBC%E8%BE%B9%E7%9A%84%E4%B8%AD%E7%82%B9%2CD%2CE%E5%88%86%E5%88%AB%E6%98%AFAB%2CAC%E4%B8%8A%E7%9A%84%E7%82%B9%2CAE%3DBD%2C%E4%B8%94OD%E3%80%81OE%E7%9A%84%E9%95%BF%E6%98%AF%E5%85%B3%E4%BA%8Ex%E7%9A%84%E6%96%B9%E7%A8%8B2x%26%23178%3B-2%EF%BC%88k-1%EF%BC%89x%2B%282k%26%23178%3B-7x%2B5%EF%BC%89%3D0%E7%9A%84%E4%B8%A4%E6%A0%B9%2C%E6%B1%82k%E7%9A%84%E5%80%BC)
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