Hill showed up to court yesterday in Houston to face the felony domestic violence charge -- and the judge set bond at $5,000. Hill was briefly taken into custody before immediately bonding out.

The judge set no travel restrictions on his bond -- so the case shouldn't affect his playoff run.

But the judge did impose a protective order -- barring Hill from contacting or going anywhere near his ex.

And there's this -- Hill played against Denver last night in L.A. (scoring six points) which means he must have booked it on an airplane soon after the game.