我们知道任何一个圆都有外切正方形,任意一个正方形都有一个内切圆,这可能是圆与正方形之间最为“密切”的关系.除了这种显而易见的“密切”关系之外,二者之间还有一种较为深入的有趣的关系.一、已知正方形,不用圆规可以画出它的内切圆的草图已知正方形ABCD,边长为2r,边AB、BC、CD、DA的中点分别为E、F、G、H,连接EG、HF,两线交于点O,如图1所示.将OF四等分,分点记为R、 We know that any circle has an outer square, and any square has an inscribed circle, which may be the most “close” relationship between a circle and a square. In addition to this obvious “close” relationship There is also a more in-depth and interesting relationship between the two: 1. Known squares, without compasses, can draw the sketch of its inscribed circle Known square ABCD with side length 2r, sides AB, BC, CD , The midpoint of DA is E, F, G, H respectively, connect EG, HF, two lines are handed over to point O, as shown in Fig. 1. OF four quarters, points are marked as R,