圆的方程 (19 18:5:42)已知直线:(m+2)x+(2m-3)y+7-14m=0与圆A:x2+y2-6x-8y+21=0.1. 求证:对于任意的实数m,直线必过定点B.2. 已知直线L过B,当直线L被圆A截得的弦最短时,求直线L的方程.
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![圆的方程 (19 18:5:42)已知直线:(m+2)x+(2m-3)y+7-14m=0与圆A:x2+y2-6x-8y+21=0.1. 求证:对于任意的实数m,直线必过定点B.2. 已知直线L过B,当直线L被圆A截得的弦最短时,求直线L的方程.](/uploads/image/z/2487347-35-7.jpg?t=%E5%9C%86%E7%9A%84%E6%96%B9%E7%A8%8B+%2819+18%3A5%3A42%29%E5%B7%B2%E7%9F%A5%E7%9B%B4%E7%BA%BF%EF%BC%9A%28m%2B2%29x%2B%282m-3%29y%2B7-14m%3D0%E4%B8%8E%E5%9C%86A%3Ax2%2By2-6x-8y%2B21%3D0.1.%26%23160%3B%26%23160%3B+%E6%B1%82%E8%AF%81%EF%BC%9A%E5%AF%B9%E4%BA%8E%E4%BB%BB%E6%84%8F%E7%9A%84%E5%AE%9E%E6%95%B0m%2C%E7%9B%B4%E7%BA%BF%E5%BF%85%E8%BF%87%E5%AE%9A%E7%82%B9B.2.%26%23160%3B%26%23160%3B+%E5%B7%B2%E7%9F%A5%E7%9B%B4%E7%BA%BFL%E8%BF%87B%2C%E5%BD%93%E7%9B%B4%E7%BA%BFL%E8%A2%AB%E5%9C%86A%E6%88%AA%E5%BE%97%E7%9A%84%E5%BC%A6%E6%9C%80%E7%9F%AD%E6%97%B6%2C%E6%B1%82%E7%9B%B4%E7%BA%BFL%E7%9A%84%E6%96%B9%E7%A8%8B.)
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