I set off for a new adventure in the United States on the first day of the new year.

新年第一天，我在美国开始了一次新的冒险。

Their cultural backgrounds gave them a spirit of adventure.

他们的文化背景赋予了他们一种冒险精神。

...a feeling of adventure and excitement.

惊险刺激的感觉

The group has adventured as far as the Austrian alps.

该队伍的探险之旅远至奥地利的阿尔卑斯山。