这些题目主要涉及的是英语语法中的动词应用，包括时态、语态、非谓语动词、虚拟语气以及固定搭配等。下面是每道题目的解析：
1. What he said just now reminds(remind的第三人称单数现在时态) me of the American professor.
- 这句话使用了现在时态，表示他刚才说的话对现在的影响。
2. The professor referred(refer的过去分词，这里用作后置定语修饰"the professor") to at the meeting is from Beijing university.
- "referred to"是被动语态，表示"被提及的教授"。
3. In the United States, lunch is provided(provide的第三人称单数现在时态的被动形式) for students for free at school.
- 这里使用了被动语态，表示午餐是由学校提供的。
4. --- What shall we do this weekend? --- I suggest visiting(visit的动名词形式，用于suggest后) the Dinosaur park.
- "suggest doing"是固定搭配，建议做某事。
5. I’m afraid this is the best way we can think of to help(help的不定式形式，表示目的) you.
- "way to do"表示做某事的方法。
6. They have run out(run out的现在完成时态) of their water and food, which worried them a lot.
- "have/has run out of"表示已经用完，强调过去的动作对现在的影响。
7. Entering(enter的现在分词形式，表示伴随状语) the room, I found him lying in bed, lost in thought.
- "Entering"在这里是非谓语动词，表示进入房间的动作与主句同时发生。
8. Our school offers(offer的第三人称单数现在时态) more than 20 optional courses for students to choose from this term.
- 这里是现在时态，表示学校当前提供的课程情况。
9. Have you ever considered traveling(travel的动名词形式，用于consider后) abroad?
- "consider doing"表示考虑做某事。
10. He was reported to have covered(cover的不定式完成形式，表示过去的动作) 30 miles on foot that day.
- "be reported to have done"表示听说某人已经做了某事。
11. Mary is working out(work out的现在进行时态) in the college gym at the moment.
- "at the moment"提示要用现在进行时。
12. We really regret saying(say的动名词形式，用于regret后) that you are wrong.
- "regret doing"表示后悔做了某事。
13. He suggests us starting(start的动名词形式，用于suggest后) early.
- "suggest sb. doing"建议某人做某事。
14. He advised us to start(start的不定式形式，用于advise后) early.
- "advise sb. to do"建议某人做某事。
15. I’m sorry I missed seeing(see的动名词形式，用于miss后) you while in America.
- "miss doing"表示错过做某事。
16. He seemed to have dropped(drop的不定式完成形式，表示过去的动作) most of his friends.
- "seem to have done"表示看起来已经做了某事。
17. We should be informed(inform的被动语态，用于should后) of how the work is getting on.
- 这里用被动语态表示应该被告知工作进展。
18. Greatly affected(affect的过去分词，表示被动) by his son’s failure, the father was in low spirits.
- "affected by"表示受到...的影响。
19. If you don’t want to miss the film, you should go to the cinema to make(make的不定式形式，表示目的) sure of the time of it.
- "go to do"去做某事，"to make sure"为了确保。
20. Whenever he had time, he helped(help的一般过去时态) his mother with housework.
- 这是过去的时间，所以用一般过去时。
21. I was leaving(leave的过去进行时态) when it began to rain.
- "was/were doing"表示过去某个时间点正在进行的动作。
22. You’d better come tomorrow afternoon. Tomorrow afternoon I will be seeing(see的将来进行时态) a friend off at the airport.
- "had better do"最好做某事，"will be doing"表示将来某个时刻正在进行的动作。
23. Such a terrible murder must be looked into(look into的被动语态，用于must后) by the police.
- "must be done"表示必须被做。
24. You are not allowed to stay out(stay out的不定式形式，用于allow后) late at night.
- "allow sb. to do"允许某人做某事，其否定形式表示不允许。
25. He seemed to show(show的不定式形式，用于seem后) no interest in this picture.
- "seem to do"似乎做某事。
26. Better not believe(not believe的否定形式，用于had better后) her story.
- "had better not do"最好不要做某事。
27. Mr. Black is a person fond of being praised(praise的被动语态，表示喜欢被赞扬).
- "be fond of doing"喜欢做某事，这里用被动表示被赞扬。
28. Our teacher suggested giving(give的动名词形式，用于suggest后) a party to celebrate New Year’s Day.
- "suggest doing"建议做某事。
29. He narrowly missed being knocked down(knock down的被动形式，表示差点被撞倒) by the car.
- "miss doing"错过做某事，这里是被动结构表示差点被怎么样。
30. There is no need to tell(tell的不定式形式，用于need后) him.
- "there is no need to do"表示没有必要做某事。
以上就是这些题目中涉及的英语动词知识点的详细解析，包括动词的时态、语态、非谓语动词和固定搭配等。
