三角形证明题(高一)设D为△ABC的边BC上的一点,而且BD=2DC,求证|AB|²+2|AC|²=3|AD|²+6|CD|²如果需要做辅助线的话烦请附图
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![三角形证明题(高一)设D为△ABC的边BC上的一点,而且BD=2DC,求证|AB|²+2|AC|²=3|AD|²+6|CD|²如果需要做辅助线的话烦请附图](/uploads/image/z/12384007-7-7.jpg?t=%E4%B8%89%E8%A7%92%E5%BD%A2%E8%AF%81%E6%98%8E%E9%A2%98%EF%BC%88%E9%AB%98%E4%B8%80%EF%BC%89%E8%AE%BED%E4%B8%BA%E2%96%B3ABC%E7%9A%84%E8%BE%B9BC%E4%B8%8A%E7%9A%84%E4%B8%80%E7%82%B9%2C%E8%80%8C%E4%B8%94BD%3D2DC%2C%E6%B1%82%E8%AF%81%7CAB%7C%26sup2%3B%2B2%7CAC%7C%26sup2%3B%3D3%7CAD%7C%26sup2%3B%2B6%7CCD%7C%26sup2%3B%E5%A6%82%E6%9E%9C%E9%9C%80%E8%A6%81%E5%81%9A%E8%BE%85%E5%8A%A9%E7%BA%BF%E7%9A%84%E8%AF%9D%E7%83%A6%E8%AF%B7%E9%99%84%E5%9B%BE)
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