使学生更加努力学习英语可以用 "motivate" 或 "encourage" 这两个词来表示。

这两个词的来源都是源自拉丁文。"Motivate" 源自拉丁文的 "movere"，意思是 "to move" 或 "to set in motion"。"Encourage" 则源自拉丁文的 "encourage"，意思是 "to put heart into" 或 "to inspire with courage"。

下面是一些例句：

The teacher tried to motivate the students by offering extra credit for their participation in class. (老师试图通过给学生加分来激励他们参与课堂。)
The coach encouraged the team to practice harder and never give up. (教练鼓励球队更加努力训练，永不放弃。)
The parent tried to motivate their child to study by setting a good example and providing a quiet study environment. (父母试图通过树立好榜样并为孩子提供安静的学习环境来激励他们学习。)
The teacher encouraged the students to ask questions and participate in discussions, which helped them to become more confident in their Engpsh skills. (老师鼓励学生提问并参与讨论，这有助于他们在英语能力方面变得更加自信。)