a half a glass of coffee 为何意?

有读者问这样一个句子:

(1)It has been his habit to sit there and play while drinking a half a glass of coffee.

这里的 a half 是什么意思?能否应改为 half of?

不定冠词 a 在此限定的不是 half, 而是 half a glass of coffee, 换言之, half a glass of coffee (半杯咖啡)在此被用作一个单位。 a half a glass of coffee 的意思是“一个半杯咖啡”(不是“一杯半咖啡”),正如 a half (an)hour 的意思是“一个半小时”(不是“一小时半”)一样。

数词 half 之后常省去 of。 所以half a glass of coffee 不必改为 half of a glass of coffee。再如:

(2)Half a loaf is better than no bread. 聊胜于无。

(3)Half his time was wasted.

(4)Half the apples are bad.

与其后省去of 的 half 相似的数词还有 quarter, dozen 等,实例如:

(5)for a quarter the price

(6)a dozen eggs