我覺得第一題的答案是A。
第一題是he (之前的學生) 曾與我一起做研究。「與～一起」用with。
第二題的答案是D。
第二句可以還原成下面兩個句子，最後用關代合在一起再省略關代就是你看到的D。
We need to understand the functions.
Extra-curricular activities serve the functions in college.
關鍵動詞片語 serve...function(s)是「發揮功能；起作用」的意思。
就我所知大學轉學考沒有提供官方答案，因此常發生外面出版社賣的考古題的解題
發生各出版社答案不一致的情形。這是我的解題，供你參考。
※ 引述《rocker21028 (雞蛋銘)》之銘言：
: 各位大大好
: 我想請教一下輔大的英文考題
: 有一大題是要選出最恰當的說法
: A. Thomas is a former student of mine. He studied with me for two years.
: B.Thomas is a former student of mine. He studied for me for two years.
: C.Thomas is a former student of mine. He studied on me for two years.
: D.Thomas is a former student of mine. He studied via me for two years.
: 我是選B 考題上面的答案是給D
: 還有一題
: A. We need to feel the important extra-curricular functioning in college life.
: B.We need to see the functions extra-curricular activities are in college life
: .
: C.We need to identify how important extra-curricular activities be in college
: life.
: D.We need to understand the functions extra-curricular activities serve in col
: lege.
: 我選B答案給A
: 詳解也寫的不清楚
: 想請問一下答案是不是給錯了
: 手機排版請見諒
: 第一次在本板發文
: 如有觸版規不好意思
: 謝謝
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