设m、n∈R,若直线mx+ny-1=0与x轴相较于点A,与y轴相交于点B,且L与圆x²+y²=4相交所得弦长为2,O为原点坐标,则ΔAOB面积的最小值为___________.
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![设m、n∈R,若直线mx+ny-1=0与x轴相较于点A,与y轴相交于点B,且L与圆x²+y²=4相交所得弦长为2,O为原点坐标,则ΔAOB面积的最小值为___________.](/uploads/image/z/11271197-29-7.jpg?t=%E8%AE%BEm%E3%80%81n%E2%88%88R%2C%E8%8B%A5%E7%9B%B4%E7%BA%BFmx%2Bny-1%3D0%E4%B8%8Ex%E8%BD%B4%E7%9B%B8%E8%BE%83%E4%BA%8E%E7%82%B9A%2C%E4%B8%8Ey%E8%BD%B4%E7%9B%B8%E4%BA%A4%E4%BA%8E%E7%82%B9B%2C%E4%B8%94L%E4%B8%8E%E5%9C%86x%26%23178%3B%2By%26%23178%3B%3D4%E7%9B%B8%E4%BA%A4%E6%89%80%E5%BE%97%E5%BC%A6%E9%95%BF%E4%B8%BA2%2CO%E4%B8%BA%E5%8E%9F%E7%82%B9%E5%9D%90%E6%A0%87%2C%E5%88%99%CE%94AOB%E9%9D%A2%E7%A7%AF%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC%E4%B8%BA___________.)
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