1. the first/last /best
He was the last guest to arrive.
Have you got a key to unlock the door?
He is not a man to draw back when his dignity is concerned.
2.have sth to do
I have some homework to do.
He has a large family to support.
This is the best book for us to read.
3.There is nothing to fear.
4. 当不定式放在最后时，如果不定式属于不及物动词，或由于意义上或结构上的需要，其后须加上适当的介词。
Mary needs a friend to play with.
改成to play with a frihend.
5.同位关系但是仍然是不定式做后置修饰语。
The boy had an impulse to jump over the fence. 翻越栅栏的一种冲动。
I have no wish to quarrel with you. 没有与你吵架的愿望
He hit back the urge to tell a lie.
说谎的冲动
Neither of them had any inclination to spend time with Philip.
任何与Philip度过时间的倾向
2.作名词后置修饰语的不定式可以采取主动态，也可采取被动态。有时两种语态均可采用，意义无甚区别。
The procedure to be followed/ to follow is this.程序被遵循，到主动态也行，
Give a list of people to invite/ to be invited. 人被邀请，但是主动态也行
不管是名词+不定式，还是名词+介词+动名词都是做后置修饰语。
有些名词如attempt, chance,effort, freedom, intention, necessity,opportunity,reason,time, way等，在其后用不定式或介词ing都可以，意义无甚区别。
The doctor made a bold attempt to save/at saving the child's life.
They made an effort to finish/at finishing the work in one day, but they failed.
The liberated people will have the freedom to choose/ of choosing their own social system.
Do you have any intention to go/ of going there?
There is no necessity to buy/of buying a new car.
I am glad to have the opportunity to speak/ of speaking to you alone.
I have many reasons to fear/for fearing him.
I doubt if he ever has time to watch/ for watching television.
What's the right way to address/ of dressing the queen?
有些名词如ability, agreement, ambition, anxiety,curiosity, disposition, mind,obligation, permission, refusal, reluctance, temptation, tendency, wish 等，在其后通常带不定式，而不带介词+ing
They have the ability to produce nuclear weapons.
They signed an agreement to rent the house.
He is under no obligation to do that.
Her refusal to accept his offer of help is really disappointing.
Wood has a tendency to swell if it gets wet.
have a great aptitude for inventing new things.
We apologize for the delay in answering your letter.
have difficulty in doing sth
His excuse for forgetting her birthday was that he had lost his diary.
Have you had much experience in teaching English?
He had a genius for making people feel at home.
I'm trying to break the habit of staying up too late.
There is no hope of winning the game.
our method of teaching foreign languages.
Your motive for doing something is your reason for doing it.
object of doing
have a passion for sth
Both sides agreed to a detailed plan for keeping the peace.
Few people believed in the possibility of flying.
skill
What made him remarkable as a photographer was his skill in capturing the moment.
I didn't have much success in finding a job.
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