"first three points" is a correct and usable phrase in written English.
For example, you could use it in a sentence like this: "In this essay, I will cover the first three points of my argument."
The first three points are widely accepted.
The first three points go with serve.
Ljubicic won the first three points of the first tiebreaker.
Ljubicic won the first three points of the first-set tie breaker.
In the deciding tie-break, Lapentti won the first three points before hitting a lob long.
Serving for the match, Nadal won the first three points, then hit a backhand crosscourt winner.
Southampton's Sadio Mane equalised late on to deny the new manager his first three points last Sunday.
The Chinese started strong, scoring the first three points and leading by as many as six in the first set.
At 3-3 Federer won the first three points on the world No 6's serve with scorching backhands.
Portsmouth picked up their first three points of the post-Andy Awford era by beating Mansfield 2-1.
After both players held serve en route to a tie breaker, Roddick lost the first three points.
