中文摘要：

基于Fibonacci序列的构造,我们给出Fibonacci实数的无理指数的新证明.另外,我们得到Fibonacci序列的差分序列所对应实数的无理指数.

英文摘要：

Based on the structure of Fibonacci sequence, we give a new proof for the irrationality exponents of the Fibonacci real numbers. Moreover, we obtain all the irrationality exponents of the real numbers corresponding to the differences of Fibonacci sequence.