It means the opportunity to make a good life.

请教老师：

1.此句不定式是目的状语还是后置定语？如何区别？和冠词the, a (opportunity) 有关吗？

解答如下：

不定式to make a good life作后置定语，修饰前面名词the opportunity

2.如果是定语，可否用of来替代to，即：It means the opportunity of making a good life.

解答如下：

the opportunity to make a good life,可以用the opportunity of making a good life

3. 脱离这个例句来说，什么时候用不定式to do做后置定语，什么时候用其他介词例如of，等作后置定语？

用to do还是of doing作后置定语区别如下

不同的名词,对这两种后置定语的选择是有区别的,有的只能用to do,有的只可用of doing,有的两种都可以.现分述如下:

(1)will, willingness, suggestion, conclusion, decision, permission, agreement, refusal, determination, proposal, resolution等,一般用不定式作后置定语.

Mary has the will to win the first prize.(不用of winning)

玛丽有获得一等奖的决心.

He has drawn a conclusion to go abroad with his family.(不用of winning)

他已作出了携家去国外的决定.

(2)hope, risk, possibility, impossibility, probability, intention, prospect, responsiblility, aim等,一般只能用of doing作后置定语.

In fact,tere is no hope of their winning the game.

事实上,他们没有希望赢得这场比赛.(不能说for them to win)

He will run the risk of losing his life to save the child.

他将冒生命危险去救那个孩子.

⑶way, chance, need, necessity, right, freedom, power, opportunity,ability等,既可用不定式短语,又可用of doing短语作后置定语.

Their chance to go(of ging) abroad was lost.

他们失去了出国的机会.

He has the right to do (of doing) that.

他有权那样做.

It means the opportunity to make a good life.

请教老师：

1. 此句不定式是目的状语还是后置定语？如何区别？和冠词the, a (opportunity) 有关吗？——不定式作定语，说明opportunity 的内容，所以，它们之间存在“同位关系”，不是“所属关系”。

2. 如果是定语，可否用of来替代to，即：It means the opportunity of making a good life.——opportunity to do 或 opportunity of doing，均可。例如：

1. I love the country, but I have less opportunity of seeing it.  

我热爱乡村, 但我几乎没有机会见到它。

来自《简明英汉词典》

2. He is watching for an opportunity of retiring quietly.  

他在瞅空悄悄离开。

来自《现代汉英综合大词典》

3. I take this opportunity of thanking you.  

我趁此机会感谢你们。

来自《现代英汉综合大词典》

4. I would like to take this opportunity of telling you about a new service which we are offering.  

我想借此机会向您介绍我们推出的一项新服务。

来自柯林斯例句

5. ... > everyone had had a say and he had had the opportunity of thinking things over before he put forward a different 

他等到大家发言差不多了,自己反复思考,再提出与众不同的见解。

来自《现代汉英综合大词典》

6. I am glad to have this opportunity of speaking to you alone.  

我很高兴有机会和你单独谈一下。

来自辞典例句

7. They lost no opportunity of proclaiming it to one another.  

他们一旦有机会,就彼此夸耀这一点。

来自辞典例句

8. He passed up the opportunity of attending the lecture.  

他放弃了听课的机会.

来自辞典例句

9. He coveted an opportunity of talking to the stranger.  

他盼望着能和怪客交谈一次.

来自辞典例句

3. 脱离这个例句来说，什么时候用不定式to do做后置定语，什么时候用其他介词例如of，等作后置定语？—— 关于此问题，可参考：英语语法网。