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As an research example of the widely existing cooperation-competition systems, the authors present an empirical investigation on a fruit nutritive factor network. It is described by a node-weighted bipartite graph. The fruit nutritive factors are defined as the nodes, and two nodes are connected by an edge if at least one fruit contains these two nutritive factors. The fruits are defined as the collaboration acts. The node-weight Writ, which signifies the importance degree of each actor node, is defined as the content of a nutritive factor in a fruit. The empirical investigation results show some unique features.The node-weight distributions take so-called shifted power law function forms, but the act-weight distribution takes a normal form. The degree and act-degree distributions show impulsive-spectrum like forms. These observations may be helpful for the study of fruits. The network description method proposed in this article may be universal for a kind of cooperation-competition systems.