已知数列{an}与圆C1:x2+y2-2anx+2an+1y-1=0和圆C2:x2+y2+2x+2y-2=0,若圆C1与圆C2交于A、B两点且这两点平分C2的周长(1)求证:数列{an}是等差数列(2)若a1=-3,则当圆C1的半径最小时,求圆C1的方程
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![已知数列{an}与圆C1:x2+y2-2anx+2an+1y-1=0和圆C2:x2+y2+2x+2y-2=0,若圆C1与圆C2交于A、B两点且这两点平分C2的周长(1)求证:数列{an}是等差数列(2)若a1=-3,则当圆C1的半径最小时,求圆C1的方程](/uploads/image/z/8596335-39-5.jpg?t=%E5%B7%B2%E7%9F%A5%E6%95%B0%E5%88%97%EF%BD%9Ban%EF%BD%9D%E4%B8%8E%E5%9C%86C1%EF%BC%9Ax2%2By2-2anx%2B2an%2B1y-1%3D0%E5%92%8C%E5%9C%86C2%3Ax2%2By2%2B2x%2B2y-2%3D0%2C%E8%8B%A5%E5%9C%86C1%E4%B8%8E%E5%9C%86C2%E4%BA%A4%E4%BA%8EA%E3%80%81B%E4%B8%A4%E7%82%B9%E4%B8%94%E8%BF%99%E4%B8%A4%E7%82%B9%E5%B9%B3%E5%88%86C2%E7%9A%84%E5%91%A8%E9%95%BF%281%29%E6%B1%82%E8%AF%81%3A%E6%95%B0%E5%88%97%EF%BD%9Ban%EF%BD%9D%E6%98%AF%E7%AD%89%E5%B7%AE%E6%95%B0%E5%88%97%282%29%E8%8B%A5a1%3D-3%2C%E5%88%99%E5%BD%93%E5%9C%86C1%E7%9A%84%E5%8D%8A%E5%BE%84%E6%9C%80%E5%B0%8F%E6%97%B6%2C%E6%B1%82%E5%9C%86C1%E7%9A%84%E6%96%B9%E7%A8%8B)
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