I know that man in the middle (mitm) can be in passive mode : forward, or active mode : modify trafic and forward...
But Can mitm open a page, in firefox for example, to connect on a website where i was logged.
Is this possible ?
Yes, as you say, the man-in-the-middle can modify the traffic. So when you request a page, he/she can easily return an HTTP 302 to another page, or insert some JavaScript to set the document.location.href
of your document.
If your traffic is encrypted using https, this is not possible.