你好

应该是：Our teacher often encourges us to study hard.
老师经常鼓励我们好好学习

encourage someone to do something 鼓励某人做某事

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祝你学习进步,更上一层楼!
不明白请及时追问,满意敬请采纳,O(∩_∩)O谢谢~~