圆x^2+y^2-2y*cosθ-sin^2θ=0的半径是
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圆x^2+y^2-2y*cosθ-sin^2θ=0的半径是
![圆x^2+y^2-2y*cosθ-sin^2θ=0的半径是](/uploads/image/z/20266060-4-0.jpg?t=%E5%9C%86x%5E2%2By%5E2-2y%2Acos%CE%B8-sin%5E2%CE%B8%3D0%E7%9A%84%E5%8D%8A%E5%BE%84%E6%98%AF)
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x^2+y^2-2y*cosθ-sin^2θ=0
==>x^2+y^2-2y*cosθ+cos^2θ-cos^2θ-sin^2θ=0
==>x^2+y^2-2y*cosθ+cos^2θ=cos^2θ+sin^2θ=1
==>x^2+(y-cosθ)^2=1
即圆心为(0,cosθ),半径为1
x^2+y^2-2y*cosθ-sin^2θ=0
==>x^2+y^2-2y*cosθ+cos^2θ-cos^2θ-sin^2θ=0
==>x^2+y^2-2y*cosθ+cos^2θ=cos^2θ+sin^2θ=1
==>x^2+(y-cosθ)^2=1
即圆心为(0,cosθ),半径为1
圆的方程是(x-cosθ)^2+(y-sinθ)^2=1/2
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