A. to     和  C. rather than 均可。I prefer tea rather than coffee. =I prefer to have tea rather than have coffee.

 我觉得答案应该是：A, C, D. 为了便于网友理解，我把相关词典解释提供如下：

为什么选A， C，为什么不能选B: （依据：剑桥词典）

https://dictionary.cambridge.org/grammar/british-grammar/prefer

为什么选D:  (依据：韦氏高阶）

https://www.britannica.com/dictionary/prefer

希望以上说明对大家有所帮助，欢迎网友提出不同意见，大家共同讨论，共同提高。

Prefer常用句型

1.Prefer+n./pron.

2.Prefer doing sth

3.Prefer to do sth

4.Prefer +n./pron.+ to+n./pron.

5. prefer+doing sth + to+ doing sth

6.prefer +that从句

以上句型在一般词典中都可以查到

7.Prefer +名词/代词+ over +名词/代词

Merriam-Webster’s Dictionary of English Usage (1994)P760 prefer词条认为：over is occasionally used. 但所列举的例句不吻合：… who. Nevertheless, are proffered over the A type or the D type.

幸好还有一例：Bryan A. Garner著Garner’s Modern American Usage P631: prefer. It is quite idiomatic to prefer one thing to another, or one thing over another. But the two things being compared must be grammatically and logically parallel

8.prefer +doing sth+rather than +doing sth.

(1). Michael Swan Practical English usage (Fourth Edition 2016) P 560: 560. prefer 

She prefers making toys for her children rather than buying them.

(2).L.G. Alexander编著《英语词汇用法手册》（外语教学与研究出版社2000年10月第1版）P212:  I prefer swimming rather than cycling.

9. prefer to do sth+rather than +(to) do/doing sth.

(1).Michael Swan Practical English usage (Fourth Edition 2016) P 560: 560. prefer 

Prefer can also be followed by an infinitive (this is normal after would prefer). We can use an infinitive (without to) or an -ing form after rather than in this case.

She prefers to make toys for her children rather than buy/buying them.

I would prefer to stay at home rather than drive/driving to your mother's.

(2).L.G. Alexander编著《英语词汇用法手册》（外语教学与研究出版社2000年10月第1版）P212: I prefer to swim rather than (to) cycle.

注意：（1）. Bryan A. Garner 著Garner’s Modern American Usage P631: prefer.

It is not idiomatic, however, to couple prefer

with than, as sometimes occurs with the infinitive: "I prefer to write things out longhand than to type them up." Perhaps this instead: I prefer to write things out in longhand rather than to type them up. Or: I prefer to write things out in

longhand, not to type them up.

 (2).The Oxford Guide to English Usage prefer词条：

 But when the rejected alternative is an infinitive, it is preceded by rather than (not than alone),

e.g. I'd prefer to be stung to death rather than to wake up...with half of me shot away (John Osborne).

(3).Merriam-Webster’s Dictionary of English Usage (1994) P760 prefer词词条：Only rarely do we find the rather omitted before than: …he would have preferred to fast than carry it.

(4). ND Turton Longman Dictionary of Common Errors (Eleventh impression 2003)P 265 prefer词条:

✗ Why do you prefer the theatre than the cinema ?

✗ I prefer drawing than painting.