Cycle: environment not in all objects reflected

Hello everybody,
I would like to illuminate and reflect the environment (hdri) in some objects but not in the ground plane.

Let say I have a cube and a plane under. The plane I want to have on a different render pass and the plane should only reflect the cube, but not the environment.
In the pass manager I can turn off the environment and it almost give me the right solution. The problem is, that the reflected cube get no lighting from the environment in this pass, so the refection from the cube become to dark.

I take a look in the light path shader, but I don’t get it with this one to.

Have you an idea on how I can do this?

Ok, sorry I was to fast. I try it again with the light path shader and now I get it. In the background shader I mix my hdri with black and for the fac I use the light path shader/Is Singular Ray.