What do 切入点 and 突破口 mean?
切入点: starting point, point of view

突破口: point of breakthrough

For example:

我们将以工业排放为切入点, 以污染源头为突破口.

(We will take industrial emission as our starting point, the source of pollution as breakthrough.)

爆米花理论似乎是一个无聊的切入点.

The theory of popcorn might seem a boring view.