This is an exploratory clinical trial aimed at preliminarily evaluating the efficacy, safety, and feasibility of orally administered Gut-X-001 in patients with Alzheimer's disease (AD). An open-label extension (OLE) study will also be conducted to further investigate the effects of Gut-X-001. The study will assess the effects of Gut-X-001 on cognitive function, activities of daily living, neuroimaging indicators, and AD-related plasma biomarkers in AD patients. Safety will be systematically monitored, including the incidence of adverse events and changes in hematological and organ function parameters. Furthermore, the study will explore the regulatory effects of Gut-X-001 versus placebo on venous blood redox-related indicators and gut microbiota metabolite levels at different time points, providing a basis for multi-target intervention strategies and offering systematic evidence for the scientific rationale, feasibility, and safety of Gut-X-001 in the clinical management of AD.