核心问题
be annoyed at, be annoyed with, be annoyed about, be annoyed by 有什么区别?
词典解答
be annoyed at/about 表示“因……生气”“对……生气”，be annoyed with 表示“对某人生气”“对某人厌烦”，be annoyed by 表示“被……惹烦”。
请看下面的实例：
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She was annoyed at your saying that. (Eckersley) 你说了这些话，使她很生气。
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He was annoyed about the matter. 他为此事很恼火。
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Dorian is never annoyed with me. (Wilde) 多丽安从不跟我生气。
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I hope you won't be annoyed by all my questions. (Craig) 我希望我所有这些问题不会使你烦恼。