A slasher who cut a stranger’s face on a Brooklyn subway train went on to carry out two more random blade attacks over the next 24 hours, police sources said Sunday.

Police released a surveillance image of the suspect, who is still being sought, after he cut a 37-year-old man on the left side of the face on a Manhattan-bound Q train in Flatbush about 6:30 a.m. on Saturday.

The victim got off the train at Church Ave. and alerted police while the attacker apparently stayed on the subway until the next stop, cops said.

After cops asked the public’s help identifying the suspect, he went on to attack two more victims, each time coming up from behind and slashing the left side of his target’s face, sources said.

About 9:40 p.m. on Saturday he slashed a 53-year-old man near Foster and New

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