超难 22. 考察Fn=[aF(n-1)+b]/[cF(n-1)+d](a,b,c,d为常数),称x=(ax+b)/(cx+d)(*)为该递推关系的不动点方程:(1)若(*)有两个相异复数根x1和x2,试证明数列[(Fn-x1)/(Fn-x2)]是等比数列,并求出公比和Fn.(2
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![超难 22. 考察Fn=[aF(n-1)+b]/[cF(n-1)+d](a,b,c,d为常数),称x=(ax+b)/(cx+d)(*)为该递推关系的不动点方程:(1)若(*)有两个相异复数根x1和x2,试证明数列[(Fn-x1)/(Fn-x2)]是等比数列,并求出公比和Fn.(2](/uploads/image/z/13229080-16-0.jpg?t=%E8%B6%85%E9%9A%BE+22%EF%BC%8E+%E8%80%83%E5%AF%9FFn%3D%5BaF%28n-1%29%2Bb%5D%2F%5BcF%28n-1%29%2Bd%5D%EF%BC%88a%2Cb%2Cc%2Cd%E4%B8%BA%E5%B8%B8%E6%95%B0%EF%BC%89%2C%E7%A7%B0x%3D%28ax%2Bb%29%2F%28cx%2Bd%29%28%2A%29%E4%B8%BA%E8%AF%A5%E9%80%92%E6%8E%A8%E5%85%B3%E7%B3%BB%E7%9A%84%E4%B8%8D%E5%8A%A8%E7%82%B9%E6%96%B9%E7%A8%8B%EF%BC%9A%EF%BC%881%EF%BC%89%E8%8B%A5%EF%BC%88%2A%EF%BC%89%E6%9C%89%E4%B8%A4%E4%B8%AA%E7%9B%B8%E5%BC%82%E5%A4%8D%E6%95%B0%E6%A0%B9x1%E5%92%8Cx2%2C%E8%AF%95%E8%AF%81%E6%98%8E%E6%95%B0%E5%88%97%5B%28Fn-x1%29%2F%28Fn-x2%29%5D%E6%98%AF%E7%AD%89%E6%AF%94%E6%95%B0%E5%88%97%2C%E5%B9%B6%E6%B1%82%E5%87%BA%E5%85%AC%E6%AF%94%E5%92%8CFn.%EF%BC%882)
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