The verb “da” abounds in meanings, whose lexical meanings become gradually diversified and differ in meanings if matched with different NP. This paper, based on the mechanism of image schema and cognitive topology, has analyzed the collocation extension of “da+NP”construction. The analysis yields the following findings. First, “da+NP” construction, based on different kinds of image schematic variations, can be categorized into following types: the imitation of key factors, the stress of key factors, and the composed form of the two of the former. Second, the abundant meaning of “da” is closely relevant to human’s subjective initiative embodied cognition and social development. The new topological schematic variation will be formed by the new emergence, and subsequently the connotation-suggestive meaning will be formed. Third, apart from the 24 meanings in dictionary, “da” combined with different NP, has the cognitive meaning of “punish, cut price, tolerate, adjust, and the like.”