已知关于x的一元二次方程x+2ax+b=0,a>0,b>0.(1)若方程有实数根,试确定a,b间的大小关系; (2)若a:b=2:√3,且2x1-x2=2,求a,b的值; (3)在(2)的条件下,二次函数y=x+2ax+b的图像与x轴交点为A、C
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![已知关于x的一元二次方程x+2ax+b=0,a>0,b>0.(1)若方程有实数根,试确定a,b间的大小关系; (2)若a:b=2:√3,且2x1-x2=2,求a,b的值; (3)在(2)的条件下,二次函数y=x+2ax+b的图像与x轴交点为A、C](/uploads/image/z/3757406-14-6.jpg?t=%E5%B7%B2%E7%9F%A5%E5%85%B3%E4%BA%8Ex%E7%9A%84%E4%B8%80%E5%85%83%E4%BA%8C%E6%AC%A1%E6%96%B9%E7%A8%8Bx%2B2ax%2Bb%3D0%2Ca%EF%BC%9E0%2Cb%EF%BC%9E0.%EF%BC%881%EF%BC%89%E8%8B%A5%E6%96%B9%E7%A8%8B%E6%9C%89%E5%AE%9E%E6%95%B0%E6%A0%B9%2C%E8%AF%95%E7%A1%AE%E5%AE%9Aa%2Cb%E9%97%B4%E7%9A%84%E5%A4%A7%E5%B0%8F%E5%85%B3%E7%B3%BB%EF%BC%9B+%EF%BC%882%EF%BC%89%E8%8B%A5a%3Ab%3D2%3A%E2%88%9A3%2C%E4%B8%942x1-x2%3D2%2C%E6%B1%82a%2Cb%E7%9A%84%E5%80%BC%EF%BC%9B+%EF%BC%883%EF%BC%89%E5%9C%A8%EF%BC%882%EF%BC%89%E7%9A%84%E6%9D%A1%E4%BB%B6%E4%B8%8B%2C%E4%BA%8C%E6%AC%A1%E5%87%BD%E6%95%B0y%3Dx%2B2ax%2Bb%E7%9A%84%E5%9B%BE%E5%83%8F%E4%B8%8Ex%E8%BD%B4%E4%BA%A4%E7%82%B9%E4%B8%BAA%E3%80%81C)
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