1.A
go through 表示“仔細檢查”時,目的是為了找出某樣東西或者把東西歸類,你看它的英文釋義就知道了：If you go through a lot of things such as papers or clothes,you look at them,usually in order to sort them into groups or to search for a particular item.
在第一道題中,她仔細搜查他的夾克是為了尋找鑰匙.所以用 go through.
2.C
go over 通常表示“檢查（文件、文字）”等書面材料,達到檢查、校對、仔細分析的目的.它的英文釋義是：If you go over a document,incident,or problem,you examine,discuss,or think about it very carefully.
在第二道題中,她檢查的是papers,是文件,目的是從文件里歸納出所需信息,因此用 go over.