requires us to do two things quickly. First, the main topic; and second, to write down

requires us to do two things quickly. First, the main topic; and second, to write down the important details.
A. To take good notes; recognizing
B. Taken good notes; recognizing
C. Taking good notes; recognizing
D. Taking good notes; to recognize

A. To take good notes; recognizingB. Taken good notes; recognizingC. Taking good notes; recognizing(答案→)D. Taking good notes; to recognize解析：D 考察非谓语动词。句义：做好笔记要求我们做到两点，首先要判断出中心主题，其次能够记住重要细节。第一空中缺少主语成分，不定式和动名词都可以做主语，但是过去分词不能做主语。And连接的是平行结构，and后面是不定式形式，所以前面同样也需要使用不定式的形式。故D正确。

就是这个解释