FOR

For主要跟在下面这些名词的后面：

* a check for (amount of money)
例句: She gave me a check for $50.
她给了我一张50块钱的支票。

* a demand for something
例句: Unfortunately, there wasn't enough demand for our product.
不幸的是，我们的产品市场需求不大。

* a need for something
例句: There is a real need for discipline in this class.
这个班级，没纪律不行。

* a reason for something
例句: I have a reason for doing that!
我这么做是有理由的。

IN

In主要在下面这些名词后面：

* a rise in something
例句: There has been a rise in prices recently.
最近价格上涨了。

* an increase in something
例句: We have seen many increases in production levels.
我们看到生产水平有了很大提高。

* a fall in something
例句: There has been a fall in prices recently.
最近价格有了下降。

* a decrease in something
例句: We have seen many decreases in production levels.
我们看到生产水平有了很大下降。

OF

Of主要在下面这些名词后面：

* a cause of something
例句 : She is the cause of all his problems.
她是他所有麻烦的原因。

* a photograph OR a picture of something or someone
例句: He took a photograph of the mountains.
他拍了一张大山的照片。

TO

To主要跟在下面这些名词的后面：

* damage to something
例句：I did a lot of damage to my car the other day.
前些日子我给我的车造成了很大的损伤。

* an invitation to a celebration of some type
例句: We were invited to their wedding.
我们被邀请出席他们的婚礼。

* reaction to something
例句: Her reaction to his behavior was quite funny.
她对他的行为的反应非常有趣。

* a solution to a problem
例句: He provided the solution to our financial situation.
针对我们的经济状况，他提出了解决方案。

* an attitude to something (or TOWARDS something)
例句: Your attitude to your problems doesn't help them get resolved.
你对问题的态度对于解决问题一点帮助都没有。

WITH

With主要跟在下面这些名词的后面： 

* a relationship with someone or something
例句: My relationship with Mary is wonderful.
我和玛丽的关系非常好。

* a connection with someone or something
例句: His connections with the CIA are very limited.
他和CIA的联系不多。

* a contact with someone or something
例句: Have you had any contact with Sarah?
你和莎拉接触过吗？

BETWEEN

Between主要跟在下面这些名词的后面：

* a connection between TWO things
例句: There is no connection between the two crimes.
这两个罪犯没有任何联系。

* a relationship between TWO things
例句: The relationship between the two friends was very strong.
这两个朋友之间的关系牢不可破。

* a contact between TWO things
例句: There is little contact between the two parents.
这两位家长有点小姐处。

* a difference between TWO things
例句: There is no difference between those two colors.
这两个颜色没什么区别。