已知抛物线C的焦点在坐标原点O,顶点在x轴的负半轴上,直线L:x+y+m=0,m>0与抛物线C交于A,B两点,△AOB的面积最大值为二倍根号六,求抛物线C的方程,并求出三角形AOB面积最大时直线L的方程.请写出计
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![已知抛物线C的焦点在坐标原点O,顶点在x轴的负半轴上,直线L:x+y+m=0,m>0与抛物线C交于A,B两点,△AOB的面积最大值为二倍根号六,求抛物线C的方程,并求出三角形AOB面积最大时直线L的方程.请写出计](/uploads/image/z/10283266-10-6.jpg?t=%E5%B7%B2%E7%9F%A5%E6%8A%9B%E7%89%A9%E7%BA%BFC%E7%9A%84%E7%84%A6%E7%82%B9%E5%9C%A8%E5%9D%90%E6%A0%87%E5%8E%9F%E7%82%B9O%2C%E9%A1%B6%E7%82%B9%E5%9C%A8x%E8%BD%B4%E7%9A%84%E8%B4%9F%E5%8D%8A%E8%BD%B4%E4%B8%8A%2C%E7%9B%B4%E7%BA%BFL%3Ax%2By%2Bm%3D0%2Cm%3E0%E4%B8%8E%E6%8A%9B%E7%89%A9%E7%BA%BFC%E4%BA%A4%E4%BA%8EA%2CB%E4%B8%A4%E7%82%B9%2C%E2%96%B3AOB%E7%9A%84%E9%9D%A2%E7%A7%AF%E6%9C%80%E5%A4%A7%E5%80%BC%E4%B8%BA%E4%BA%8C%E5%80%8D%E6%A0%B9%E5%8F%B7%E5%85%AD%2C%E6%B1%82%E6%8A%9B%E7%89%A9%E7%BA%BFC%E7%9A%84%E6%96%B9%E7%A8%8B%2C%E5%B9%B6%E6%B1%82%E5%87%BA%E4%B8%89%E8%A7%92%E5%BD%A2AOB%E9%9D%A2%E7%A7%AF%E6%9C%80%E5%A4%A7%E6%97%B6%E7%9B%B4%E7%BA%BFL%E7%9A%84%E6%96%B9%E7%A8%8B.%E8%AF%B7%E5%86%99%E5%87%BA%E8%AE%A1)
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