Lǎoshī hánxù de diǎnpò le xuésheng de cuòwù, méiyǒu ràng tā tài nánkān.
The teacher tactfully pointed out the student's mistake without embarrassing him too much.
Tips
usage
点破 implies revealing a truth that was hidden or not explicitly stated. The object is typically a secret intention, a lie, or a key insight. It carries a sense of perceptiveness on the part of the speaker.