The Swiss no.2 must win the first singles match against Berdych on Sunday to keep the tie alive.
With the second leg in Turin on March 6 to come, the home side would have hoped to secure a result in a bid to keep the tie alive.
Chelsea now face a huge task at Old Trafford to rescue the tie and keep their main hope of silverware alive this season, as well as easing pressure on Ancelotti.
Real were in irresistible form from the outset and it seemed inconceivable that they would fail to find the net at least twice to overturn the tie and keep alive their hopes of playing in the final on their home ground in May.
"We can't allow ourselves to get mentally down and think about what happened, " said Djokovic, who will have to beat world number seven Berdych - the man who defeated him in the semi-finals at Wimbledon this summer - to keep his country in the tie.
Liverpool were denied what appeared to be a legitimate goal when a Kyrgiakos header was only parried against Cole by Kivrak and, despite Poulsen forcing the loose ball in, the goal was disallowed for a foul on the visiting keeper as Trabzonspor held on to keep themselves firmly in the tie.
You could go on full office mode and wear one with a white shirt and a horizontal striped tie and monk straps or you can keep it casual by wearing a T-shirt instead a dress shirt.
There were servants to address one's every material need, dinner in white tie and lavish gowns, and rules designed to keep the upper crust on top and the lower classes in their place.
Pricing schemes that tie handset and credit card together might also help to keep mobile subscribers loyal from next year, when they will be allowed to keep their number if they switch operators.
The Polish team, whose first match at the championship ended in a 1-1 draw against Greece last week, needed to tie or win Tuesday's game against Russia to keep chances alive of advancing out of Group A. Russia beat the Czech Republic last week.
How on earth can a oneworld Air Berlin do a strategic tie up with the leading carrier in a rival airline and keep its loyalty to oneworld?
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