积极的英文：
active
energetic
vigorous
positive
proactive

参考例句：

Motive pleas.
积极的请求

Efforts should be made to develop schools not operated by government education departments.
积极发展民办教育

An active member of a club.
俱乐部的积极参加者

George is always working diligently and enthusiastically.
乔治工作总是努力积极。

He became an active social reformer.
他成了一位积极的社会改革家。

The Chinese government has done its utmost to enthusiastically help bordering countries to unfold anti-drug combat.
中国政府尽自己的力量，积极帮助周边国家开展禁毒工作。

The fashion now is to deprecate the positive contributions of Keynesian economics
否认凯恩斯主义经济理论的积极贡献已成为当前的一种时尚。

She was active in the Society for Women's Suffrage.
她在争取妇女选举权协会中活动非常积极。

Holt became a sought-after speaker and supporter of school reform.
霍尔特后来成为广受欢迎的演说家，积极倡导教学改革。

The procedure that a certain affection is generated by the stimulation of education environment is very sophisticated.
由教学环境引发学生的积极情感人类的情感活动是一种非常复杂的过程

active是什么意思：
adj. 活跃的，积极的；现行的；主动的
n. 积极分子

She is an active participant in this activity.
她积极参与这项活动。

They are union actives.
他们是工会积极分子。

contamination activity
污染放射性

energetic是什么意思：
adj. 精力旺盛的；精神饱满的；积极的

He is an energetic tennis player.
他是个精力充沛的网球手。

This world belongs to the energetic
世界属于精力旺盛的人

The elderly man is quite energetic.
这位上了年纪的老人仍精力充沛。

vigorous是什么意思：
adj. 充满活力的，果断的，精力充沛的；强壮的，强健的

She was a fresh and vigorous woman.
她原本是一个精神饱满、爱生活的女人。

He was a vigorous, brisk person.
他是一个强壮的，活泼有力的人。

He is a vigorous young man.
他是精力充沛的青年。