1. 吸引住（注意力、兴趣）
The narrative will quickly engage the reader and satisfy his or her curiosity.
这个故事会迅速吸引读者并满足他们的好奇心。
It is a movie that engages both the mind and the eye.
这是一部令人赏心悦目的影片。
They never learned skills to engage the attention of the others.
他们从未学过吸引他人注意的技巧。
2.engage sb (as sth)雇用，聘用
He is currently engaged as a consultant.
他现在受雇为顾问。
We engaged the services of a recognised engineer...
我们雇用了一个公认的杰出工程师。
He had been able to engage some staff.
他已经能够雇用一些员工。
3.engage sb与（某人）交战；与（某人）开战
to engage the enemy
与敌人交战
It could engage the enemy beyond the range of hostile torpedoes.
从这可以避开敌方鱼雷区对敌人发动进攻。
4.engage with sth/sb与…建立密切关系；尽力理解;与……结合
She has the ability to engage with young minds.
她能够与年轻人心意相通。
She found it hard to engage with office life.
她发现很难适应办公室生活。
A politics of the future has to engage with new ideas.
未来的政治制度必须同新思想结合。
5.be engaged to sb订婚;与……订婚
They're engaged, but they haven't yet named the day.
他们订婚了，但还未确定结婚日期。
They are engaged to be married.
他们已经订婚。
She's engaged to Peter.
她与彼得订了婚。
He's really serious about Penny and wants to get engaged.
他对彭尼的确是认真的，他想跟她订婚。
6. engage in sth
engage sb in sth
（使）从事，参加；忙于
[正式]参加，参与
指做某事或参与某项活动，常后接介词 in/on/upon。
Even in prison, he continued to engage in criminal activities.
他甚至在监狱里还继续从事犯罪活动。
At least 17 different irregular units are engaged in the war.
至少有17个非正规军部队参战。
The soldiers were engaged in a military operation close to the Ugandan border.
这些士兵参加了乌干达边境附近的一次军事行动
We want to engage recognized leaders in discussion.
我们想和公认的领袖们进行讨论。
They found the three engaged in target practice.
他们发现那3个人在练习打靶。
She tried desperately to engage him in conversation.
她用尽办法要他跟她谈话。
The guests engaged in superficial chatter.
客人闲聊起来。
I have never engaged in the drug trade...
我从未参与过毒品交易。
Industry leaders want scientists to engage in fundamental research, not applied research.
行业领袖希望科学家从事基础性研究，而非应用性研究。
They are engaged in talks with the Irish government.
他们正忙着与爱尔兰政府谈判。
Nowadays, office workers rarely engage in regular exercise.
现在，上班族很少定期进行锻炼。
Despite his illness, he remained actively engaged in translating documents.
虽然生病了，他还是积极地参与文件的翻译。
He is engaged in a bitter struggle with his rival to get control of the company.
为取得对公司的控制权，他正同对手进行一场激烈的斗争。
Due to some historical and practical reasons, the two parties engaged upon an escalating political struggle.
由于一些历史和现实原因，两党陷入了日益加剧的政治斗争。