【小题1】Shall I introduce (介绍) you to my classmates?
【小题2】The detective (侦探)spent the whole night waiting for the thief.
【小题3】He was dismissed (解雇)by his boss for no reason .
【小题4】As a student, you have to bbalance work and play, or you might fail your exams.
【小题5】Young ladies are running after a slim ffigure ,aren’t they?
【小题6】We rregret to inform you that our library will be closed.
【小题7】The school can’t ttolerate such bad behavior.
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解析：
【小题1】introduce 动词介绍introduce；固定词组introduce sb to sb把某人介绍给某人。
【小题2】detective 名词侦探：detective。
【小题3】dismissed 动词解雇：dismiss。本句使用被动语态，故使用过去分词的形式。
【小题4】balance 动词平衡：balance。
【小题5】figure 名词身材，数据：figure。
【小题6】regret 动词后悔，遗憾：regret；regret doing sth遗憾做了某事；regret to do sth遗憾要做某事。
【小题7】tolerate 动词容忍：tolerate.常常与否定词连用。