如图,三角形ABC的三条内角平分线相交于点O,过点O作OE垂直于BC(1)求证:角BOC=角COE(2)如果AB=17,AC=8,BC=15,利用三角形内心性质及相关知识,求OE长.
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![如图,三角形ABC的三条内角平分线相交于点O,过点O作OE垂直于BC(1)求证:角BOC=角COE(2)如果AB=17,AC=8,BC=15,利用三角形内心性质及相关知识,求OE长.](/uploads/image/z/10340570-2-0.jpg?t=%E5%A6%82%E5%9B%BE%2C%E4%B8%89%E8%A7%92%E5%BD%A2ABC%E7%9A%84%E4%B8%89%E6%9D%A1%E5%86%85%E8%A7%92%E5%B9%B3%E5%88%86%E7%BA%BF%E7%9B%B8%E4%BA%A4%E4%BA%8E%E7%82%B9O%2C%E8%BF%87%E7%82%B9O%E4%BD%9COE%E5%9E%82%E7%9B%B4%E4%BA%8EBC%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9A%E8%A7%92BOC%3D%E8%A7%92COE%EF%BC%882%EF%BC%89%E5%A6%82%E6%9E%9CAB%3D17%2CAC%3D8%2CBC%3D15%2C%E5%88%A9%E7%94%A8%E4%B8%89%E8%A7%92%E5%BD%A2%E5%86%85%E5%BF%83%E6%80%A7%E8%B4%A8%E5%8F%8A%E7%9B%B8%E5%85%B3%E7%9F%A5%E8%AF%86%2C%E6%B1%82OE%E9%95%BF.)
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