如图,抛物线y=x²-x-2交x轴于A、B两点(A点在B点左侧),交y轴于C(0,-2),过A、C画直线,点M在y轴右侧的抛物线上,以M为圆心的圆与直线AC相切,切点为H,且△CHM∽△AOC(点C与点A对应),求点M的坐标
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![如图,抛物线y=x²-x-2交x轴于A、B两点(A点在B点左侧),交y轴于C(0,-2),过A、C画直线,点M在y轴右侧的抛物线上,以M为圆心的圆与直线AC相切,切点为H,且△CHM∽△AOC(点C与点A对应),求点M的坐标](/uploads/image/z/12151563-51-3.jpg?t=%E5%A6%82%E5%9B%BE%2C%E6%8A%9B%E7%89%A9%E7%BA%BFy%3Dx%26%23178%3B-x-2%E4%BA%A4x%E8%BD%B4%E4%BA%8EA%E3%80%81B%E4%B8%A4%E7%82%B9%28A%E7%82%B9%E5%9C%A8B%E7%82%B9%E5%B7%A6%E4%BE%A7%29%2C%E4%BA%A4y%E8%BD%B4%E4%BA%8EC%280%2C-2%29%2C%E8%BF%87A%E3%80%81C%E7%94%BB%E7%9B%B4%E7%BA%BF%2C%E7%82%B9M%E5%9C%A8y%E8%BD%B4%E5%8F%B3%E4%BE%A7%E7%9A%84%E6%8A%9B%E7%89%A9%E7%BA%BF%E4%B8%8A%2C%E4%BB%A5M%E4%B8%BA%E5%9C%86%E5%BF%83%E7%9A%84%E5%9C%86%E4%B8%8E%E7%9B%B4%E7%BA%BFAC%E7%9B%B8%E5%88%87%2C%E5%88%87%E7%82%B9%E4%B8%BAH%2C%E4%B8%94%E2%96%B3CHM%E2%88%BD%E2%96%B3AOC%EF%BC%88%E7%82%B9C%E4%B8%8E%E7%82%B9A%E5%AF%B9%E5%BA%94%EF%BC%89%2C%E6%B1%82%E7%82%B9M%E7%9A%84%E5%9D%90%E6%A0%87)
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