## 1 Introduction  
With the rapid development of information technology, museums not only enhance the protection and dissemination of history and cultural heritage through digital resources, but also provide visitors with more personalized and interactive visiting experiences via digital platforms [1]. Regarding the application of digital interactive installations, [PERSON], [PERSON], and others have pointed out that such installations can significantly boost museum visitors' engagement and learning experiences. Their research indicates that by utilizing technologies like touchscreens, virtual reality (VR), and augmented reality (AR), museums can offer multi-sensory interactive experiences. This not only increases audience interest but also deepens their understanding and sense of connection to cultural heritage [2]. The Capital Museum, located in Beijing's Xicheng District, is a comprehensive institution integrating exhibitions, collections, research, and public education [3]. As a leading municipal museum, the Capital Museum leverages digital technologies to activate cultural heritage. Its exhibition system features interactive navigation, immersive scenes, and multimodal artifact screens, serving both as educational tools and interactive environments. Selected for study, its focus on Beijing-Tianjin-Hebei history and balanced digital installations highlight Distributed Cognition's technological mediation theme. Diverse devices (touch, motion-sensing, AR) offer empirical contexts for analyzing technology-environment-cognition interactions, with findings informing digital upgrades in similar museums. There is an inherent recognition of the need for museums to draw on digital technologies to enable broader public access to preserve and share artefacts and information [4]. With technological advancements and evolving aesthetic standards, the fusion of art and technology has transformed traditional static installations into technology-driven digital interactive art [5]. These installations enhance visitors' learning interest and cultural identity through dynamic information displays, virtual experiences, and interactive learning, thereby improving satisfaction [6]. Distributed cognition and perceived value theory provide us with a new perspective to understand the interactive behaviors between audiences and digital interactive installations. These two theories help reveal the key factors influencing the sustained use of digital interactive installations in the Capital Museum. Distributed cognition theory emphasizes that cognitive activities do not merely occur within an individual's mind but are distributed and interact across multiple dimensions, including individuals, media, environment, culture, society, and time [7]. Users' knowledge acquisition and cultural experiences through digital interactive installations are manifestations of distributed cognition. Perceived value theory focuses on the subjective experiences of satisfaction, pleasure, and achievement that audiences gain during their use of products or services. Users' perceived value is reflected in the emotional connections they establish with exhibits, the depth and breadth of knowledge acquired, and the enjoyment derived from interactive experiences. Through an on-site investigation, the author found that the Capital Museum has achieved remarkable results in the construction and application of digital interactive installations. By utilizing advanced technologies such as high-definition projection, holographic imaging, and touchscreen feedback, it has provided visitors with a rich and diverse exhibition experience. Research on digital interactive installations in museum user experience has achieved significant progress, particularly in technological implementation (VR/AR immersive experiences, AI-powered personalized interactions) and short-term effect evaluation (single-visit satisfaction assessment).