The fact she was offered the job made her very happy.A. whatB. whichC. whetherD. that

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A. what
B. which
C. whether
(答案→)D. that
解析：考查同位语从句。句意“她得到了那份工作的事实让她很高兴。”fact, idea, question, news等后常跟同位语从句，对名词起补充说明的作用。从句不缺少成分，因此是同位语从句。故选D。