一題英文文法，請問該如何判斷各選項?

c)

had to = must的過去時態動詞
意思是"必需" 或 "被逼地"

A) must意思正確但時態不對
B) felt like = 我"感覺"想去做某事情，句子內容並不是你想去做一樣你喜好的事
D) would love = 表達雖然"願意"或"期願"可以做，但實際可能是沒做或做不到。這用法通常表示遺憾或抱歉不能幫助別人或自覺慚愧時用作禮貌地表示無能為力。這句內容的因果邏輯不對這意思。

I (had to) go to the dentist yesterday because I had a toothache.
NB。-------have--had--had--
have to do something, have to--had to
=have to,had to;
=expressing obligation or necessity:-
eg:-Do you often have to go to the dentist's ?
The students don't have to go to the dentist, do they ?
They haven't got to go to dentist's.
In various senses as shown in the examples:-
had to=obligation,promise,duty or condition indicates what action ought to be taken,what is right;
Hence--had to (C)
I had (to) go to the dentist yesterday.....
(A) not must ,without (to), not the present tense.
(B) not felt like ,without (to), most unlikely.
(D)nobody "would Love To "toothache, the pain in a tooth or teeth.To regret that it can't be done yourself logically

(A)must → must go：不符時態(yesterday) → X。
(B)felt like → felt like(adv.) v.ph. 想要, 意欲 → 修飾名詞 → X。
(C)had to → had to go：符合時態(yesterday) → ○。※must與have to 兩者，文法上另有學習的重點。
(D)would love to → love（與would, should連用）想要，想做[+to-v][O2] → 不符時態(yesterday) → X。