慢速英语:Amelia Earhart: The First Woman to Fly Across the Atlantic Alone

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permit to允许做某事

2.She had become the first woman to fly across the Atlantic Ocean alone.

to fly across是动词不定式做后置定语，修饰woman。

3.No one had attempted to fly that way before.

attempt to试图，企图

例句：Henry attempted to secure the succession to the office.
      亨利试图继承这个职位。