active 指有活动能力，强调与消极或休止相反的积极活动状态。
energetic 提精力充沛、奋力从事某事业。
vigorous 指不仅表现积极、有生气，而且固有精力和活力十分旺盛。
brisk 指动作敏捷、充满活力、轻快活泼地从事某项工作或活动。
lively 侧重支轮船快，机智，有生气。
参考例句
1. The vigorous, the healthy, and the happy survive and multiply . 强壮的、健全的和幸运的总会生存，还能够繁殖。
2. The efficacy of an alarm clock is explained as a very vigorous sensory input that triggers a large, synchronous assembly. 闹钟铃声之所以有效，可以解释成一个非常强大的感觉输入，引发一个大的同步组合。
3. Changing the student's attitude to make him be vigorous in study is the problem which the teacher has to face and try to manage. 形成和改变学生的态度，使学生对所学课程持积极态度，是教师在教学中不得不面对并试图解决的问题。
英英解释
adj.
1. characterized by forceful and energetic action or activity
2. strong and active physically or mentally
