她以成为有史以来最年轻的冠军为目标开始了。

She ___set ___out with the aim of becoming the youngest ever winner of the championship.

他们以发现癌症治疗方法为目标开始了。

They ___set ___out to discover a cure for cancer.

她终于实现了她起初设定的目标，那就是让她的儿子登上王位。

She had finally achieved what she had ___set ___out to do, which was make her son ascend the throne.