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The inequality√a2 + b2 + √(1- a)2 +b2 + √a2 + (1- b)2 + √(1- a)2 + (1-b)2≥2√2,where 0 ＜ a, b ＜ 1, often appears in books and magazines of mathematics largely because its proof has some special features and its geometric significance(几何意义) is obvious(See t