ChatGPT搜索搞不定勾股定理新证明，但国产AI可以！

Core Viewpoint - The article discusses the innovative proof of the Pythagorean theorem by two high school students, Ne'Kiya Jackson and Calcea Johnson, and highlights the capabilities of a domestic AI search tool that effectively summarizes and analyzes complex academic content [1][2]. Summary by Sections Background Introduction - The Pythagorean theorem, a fundamental mathematical principle over 2500 years old, states that in a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides. Recently, two high school students discovered a new proof using trigonometry, which is challenging as it relies on the theorem itself [2][3]. Proof Methodology - The students' proof utilizes trigonometric properties, identities, and fundamental theorems, including: - Angle addition formulas for sine and cosine, allowing direct calculations without relying on the Pythagorean theorem [3]. - The sine rule, which describes the proportional relationships between the sides of a triangle [3]. - Special cases of isosceles right triangles, simplifying calculations and directly demonstrating the theorem [3]. Broader Context and Significance - The students' inspiration came from a math competition, leading them to refine their proof over several months. Their work was presented at a mathematics conference, gaining recognition and encouragement from the American Mathematical Society [5]. - Their research emphasizes that even the oldest mathematical results can be re-examined from new perspectives, paving the way for future mathematical inquiries [5]. AI Search Tool Capabilities - The domestic AI search tool, developed by Kunlun Wanwei, showcases advanced features such as: - Access to over 1 billion professional data sources, including academic papers and financial reports, enabling comprehensive searches [6][7]. - The ability to break down complex problems into simpler components and provide detailed analyses [7]. - A focus on real-time content retrieval and precise information indexing, ensuring high relevance and accuracy in search results [34][36]. Financial Analysis Features - The AI search tool also excels in financial analysis, providing detailed insights into company earnings reports, such as Nvidia's Q3 financial performance, including key metrics like revenue growth and profit margins [11][15]. - It can present data in a structured format, allowing for easy comparison and analysis of financial trends across multiple quarters [15][37].