已知向量a=(x,√3y),b=(1,0),且(a+√3b)⊥(a-√3b).(1)求满足上述条件的点M(x,y)的轨迹C的方程(2)设曲线C与直线y=kx+m(k≠0)相交于不同的两点P、Q,点A(0,-1),当|AP|=|AQ|时,求实数m的取值范围
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![已知向量a=(x,√3y),b=(1,0),且(a+√3b)⊥(a-√3b).(1)求满足上述条件的点M(x,y)的轨迹C的方程(2)设曲线C与直线y=kx+m(k≠0)相交于不同的两点P、Q,点A(0,-1),当|AP|=|AQ|时,求实数m的取值范围](/uploads/image/z/1636529-41-9.jpg?t=%E5%B7%B2%E7%9F%A5%E5%90%91%E9%87%8Fa%3D%28x%2C%E2%88%9A3y%29%2Cb%3D%281%2C0%29%2C%E4%B8%94%28a%2B%E2%88%9A3b%29%E2%8A%A5%28a-%E2%88%9A3b%29.%281%29%E6%B1%82%E6%BB%A1%E8%B6%B3%E4%B8%8A%E8%BF%B0%E6%9D%A1%E4%BB%B6%E7%9A%84%E7%82%B9M%28x%2Cy%29%E7%9A%84%E8%BD%A8%E8%BF%B9C%E7%9A%84%E6%96%B9%E7%A8%8B%282%29%E8%AE%BE%E6%9B%B2%E7%BA%BFC%E4%B8%8E%E7%9B%B4%E7%BA%BFy%3Dkx%2Bm%28k%E2%89%A00%29%E7%9B%B8%E4%BA%A4%E4%BA%8E%E4%B8%8D%E5%90%8C%E7%9A%84%E4%B8%A4%E7%82%B9P%E3%80%81Q%2C%E7%82%B9A%280%2C-1%29%2C%E5%BD%93%7CAP%7C%3D%7CAQ%7C%E6%97%B6%2C%E6%B1%82%E5%AE%9E%E6%95%B0m%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
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