While my 81 Rabbit was like this, this isn't even remotely true for the
90-93 Accords. There is lots that can cause this problem, even with good
sending units and a good relay.

Bill: use google's "groups" search feature, and search this NG for 'accord
cooling fan'

As example here's a thread from someone who got some responses. It wasn't
exactly your problem, but the ensuing discussion explored many of the
components, and some tests to run:
http://tinyurl.com/3p55q

Good luck,
Arthur

Mad Dog wrote:

> Most of those Jap cars use a Thermal ground switch that
> attaches to the engine or radiator, it looks like a sending units that
> screws in to the water jacket with 1 wire
> coming of it.
> When a preset temp. is reached the switch completes the circuit to ground
> and turns on the cooling fan,
> you can bypass the switch by removing the wire and connecting it directly to
> ground.
> The cooling fan will run when the ignition is turned on.