已知圆O:x^2+y^2=1,O为坐标原点,一条直线l:y=kx+b(b>0)与圆O相切并与椭圆x^2/2+y^2=1交于不同的两点A,B.(1)设b=f(k),求f(k)的表达式.(2)若向量OA*向量OB=2/3,求直线l的方程.(3)若向量OA*向量OB=m(2/3≤m
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![已知圆O:x^2+y^2=1,O为坐标原点,一条直线l:y=kx+b(b>0)与圆O相切并与椭圆x^2/2+y^2=1交于不同的两点A,B.(1)设b=f(k),求f(k)的表达式.(2)若向量OA*向量OB=2/3,求直线l的方程.(3)若向量OA*向量OB=m(2/3≤m](/uploads/image/z/5301850-58-0.jpg?t=%E5%B7%B2%E7%9F%A5%E5%9C%86O%3Ax%5E2%2By%5E2%3D1%2CO%E4%B8%BA%E5%9D%90%E6%A0%87%E5%8E%9F%E7%82%B9%2C%E4%B8%80%E6%9D%A1%E7%9B%B4%E7%BA%BFl%3Ay%3Dkx%2Bb%28b%3E0%29%E4%B8%8E%E5%9C%86O%E7%9B%B8%E5%88%87%E5%B9%B6%E4%B8%8E%E6%A4%AD%E5%9C%86x%5E2%2F2%2By%5E2%3D1%E4%BA%A4%E4%BA%8E%E4%B8%8D%E5%90%8C%E7%9A%84%E4%B8%A4%E7%82%B9A%2CB.%EF%BC%881%EF%BC%89%E8%AE%BEb%3Df%28k%29%2C%E6%B1%82f%28k%29%E7%9A%84%E8%A1%A8%E8%BE%BE%E5%BC%8F.%EF%BC%882%EF%BC%89%E8%8B%A5%E5%90%91%E9%87%8FOA%2A%E5%90%91%E9%87%8FOB%3D2%2F3%2C%E6%B1%82%E7%9B%B4%E7%BA%BFl%E7%9A%84%E6%96%B9%E7%A8%8B.%EF%BC%883%EF%BC%89%E8%8B%A5%E5%90%91%E9%87%8FOA%2A%E5%90%91%E9%87%8FOB%3Dm%282%2F3%E2%89%A4m)
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