已知直线l:y=kx+b与椭圆C:3x^2+y^2=3相交于A、B两点,M是的线段AB的中点,O是坐标原点 (1)当l与直线x+y=0平行(不重合)时,求直线OM的斜率(2)如果|OM|=1,证明b^2=((k^2)+3)^2/((k^2)+9),并求线段AD长取最大值时
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![已知直线l:y=kx+b与椭圆C:3x^2+y^2=3相交于A、B两点,M是的线段AB的中点,O是坐标原点 (1)当l与直线x+y=0平行(不重合)时,求直线OM的斜率(2)如果|OM|=1,证明b^2=((k^2)+3)^2/((k^2)+9),并求线段AD长取最大值时](/uploads/image/z/7951141-37-1.jpg?t=%E5%B7%B2%E7%9F%A5%E7%9B%B4%E7%BA%BFl%EF%BC%9Ay%3Dkx%2Bb%E4%B8%8E%E6%A4%AD%E5%9C%86C%EF%BC%9A3x%5E2%2By%5E2%3D3%E7%9B%B8%E4%BA%A4%E4%BA%8EA%E3%80%81B%E4%B8%A4%E7%82%B9%2CM%E6%98%AF%E7%9A%84%E7%BA%BF%E6%AE%B5AB%E7%9A%84%E4%B8%AD%E7%82%B9%2CO%E6%98%AF%E5%9D%90%E6%A0%87%E5%8E%9F%E7%82%B9+%281%29%E5%BD%93l%E4%B8%8E%E7%9B%B4%E7%BA%BFx%2By%3D0%E5%B9%B3%E8%A1%8C%28%E4%B8%8D%E9%87%8D%E5%90%88%29%E6%97%B6%2C%E6%B1%82%E7%9B%B4%E7%BA%BFOM%E7%9A%84%E6%96%9C%E7%8E%87%282%29%E5%A6%82%E6%9E%9C%7COM%7C%3D1%2C%E8%AF%81%E6%98%8Eb%5E2%3D%28%28k%5E2%29%2B3%29%5E2%2F%28%28k%5E2%29%2B9%29%2C%E5%B9%B6%E6%B1%82%E7%BA%BF%E6%AE%B5AD%E9%95%BF%E5%8F%96%E6%9C%80%E5%A4%A7%E5%80%BC%E6%97%B6)
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