【題目】By the time he was fifteen years old, he ________ advanced maths all by himself.

A. had learned B. have learned

C. learned D. would learn

【答案】A

【解析】考查時態(tài)。句意：到他15歲為止，他已經(jīng)自學(xué)完了高等數(shù)學(xué)。by the time引導(dǎo)時間狀語從句，主句則表示在此時間之前某個事件已經(jīng)完成。當(dāng)從句用過去時，主句通常用過去完成時。由句意可知，在15歲之前，他已經(jīng)自學(xué)了高等數(shù)學(xué)。故該空應(yīng)用過去完成時態(tài)。

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