To kill or slay someone (or an animal) with a weapon; to strike down in combat or hunting.
戦場で彼は敵の将を討ち取った。
On the battlefield he slew the enemy commander.
山で鹿に出会い、猟師が一頭を撃ち取った。
They encountered a deer on the mountain and the hunter shot it down.
To defeat or beat an opponent in a contest; to prevail over someone (often used figuratively).
彼は決勝で強豪相手を打ち取って優勝した。
He beat a strong opponent in the final and won the championship.
議論では、的確な反論で相手の主張を打ち取った。
In the debate, he refuted the opponent's argument with precise counterpoints.
ボードゲームでうまく戦略を練って相手を打ち取った。
By using a smart strategy in the board game, I defeated my opponent.
In baseball, to get a batter out (for example, by striking them out).
投手は最後の打者を三振で打ち取った。
The pitcher struck out the last batter.
内野ゴロで併殺にして打ち取る場面が見られた。
We saw a double play on an infield grounder to get the batter out.