be interested in 意思是对...有兴趣 I'm interested in reading. 这里interested是adj。
show interest 表示对...表现出兴趣,这里interest是名词,如She shows interest in the love story.
interest sb in sth, 这里interest 是动词,意思是某事在某方面引起了某人的兴趣。The book interests Tom in its age.
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