court一般指球类场地
An open,level area marked with appropriate lines,upon which a game,such as tennis,handball,or basketball,is played.
【体育运动】 球场：水平开阔的地方,划有适当的线,人们在上面打网球、手球或篮球等游戏
field一般指田赛场地
The portion of a playing field having specific dimensions on which the action of a game takes place.
比赛场：有特定范围的举行比赛的比赛场地的一部分