[Typo3] relPathPrefix not work

[Bing Du]

I've searched on 'relPathPrefix' in this newsgroup and got one result 
back.  That post along with all its feedbacks is very helpful for me to 
understand relPathPrefix.  But sadly relPathPrefix still is not working 
for me.

plugin.tx_automaketemplate_pi1 {
	content = FILE
	content.file = fileadmin/templates/test.html

	elements {
		BODY.all = 1
		BODY.all.subpartMarker = DOCUMENT_BODY

		HEAD.all = 1
		HEAD.all.subpartMarker = DOCUMENT_HEADER
		HEAD.rmTagSections = title
	}
         relPathPrefix = fileadmin/templates
}

In my HTML template, one relative path is like this:

<link href="/css/3column.css" media="screen" rel="stylesheet" 
type="text/css"/>

The URL of my website is http://www.my.edu/me.
Accessing that specific stylesheet as 
http://www.my.edu/me/fileadmin/templates/css/3column.css is fine.

However the stylesheet 3column.css is not taking effect at all on the 
site.  What might be wrong?

Bing