"Sometimes it's easier to play as the underdog," said Micheel, who went 5-under through 33 holes. "Tiger is so strong mentally, which makes him difficult to play in match play."
Woods was 3-down after the first 18 holes was only able to trim the deficit by 2 as Micheel took a 4 and 3 decision. Woods led after the first two holes following a Micheel bogey on No. 1. Micheel evened the score on No. 3 with a birdie.
Micheel, who was runner-up to Woods in the PGA Championship, won the next three holes and kept Woods in check thereafter.
In other matches, Colin Montgomerie defeated David Howell, 1-up, Paul Casey routed Retief Goosen, 6 and 4, and Luke Donald made it four victories for European Ryder Cup team members with a 1-up win over Tim Clark.