1.指出现在报纸里的内容，那么“在报纸上”用in the newspaper/paper
2. in newspaper/paper用报纸包着的
3.不是报纸上内容，而是东西压在报纸上，这时“在报纸上”用on the newspaper/paper
I read about it in the paper .
Her name has appeared in the newspaper.
We advertised for staff in a local newspaper
I read instalments of the story in the newspaper last year.
My father saw this in the newspaper and he gave me absolute hell.
His remarks were attacked in the newspaper.
They read their daughter's allegations in the newspaper.
He found two pots, each wrapped in newspaper.
There is a pair of glasses on the newspaper.
on paper 有两个方面的意思：
1.写下来；笔录 ；写在纸上；记录（when you put sth on paper , you write it down）
It was the first time I had put it all down on paper. I found it helped.
Her colourful oils and works on paper have a naive, dreamlike quality.
I poured my thoughts out on paper in an attempt to rationalize my feelings.
It is important to get something down on paper
Never put anything down on paper which might be used in evidence against you at a later date
Ferris has a rare ability to record her observations on paper
The idea has been going around in my head for quite a while and now I am getting it down on paper.
judged from written information only, but not proved in practice
The idea looks good on paper .
We got whacked. On paper we should have wiped the floor with them.
These figures may look good on paper but are cold comfort to the islandersthemselves.
The family is estimated to have been worth, on paper at least, more than £ 1.1billion.
a newspaper 报纸
a local/national paper
地方性 / 全国性报纸
a daily/evening/Sunday paper
日 / 晚 / 星期日报