在研究“体积相等的所有立体图形中,哪种图形的表面积最小”时,有学生形象地打比方说,猫冬天为什么经常要蜷缩成一团像个球呢,就是为了保证露在空气中的表面积最小,让热量尽可能少地散失掉,所以球的表面积最小。而在研究“周长相等的情况下,哪种平面图形的面积最大”这一问题时,一学生说应该是圆的面积最大。教师问他为什 When studying “what is the smallest surface area of ​​any figure in all three-dimensional figures of equal volume,” there is a vivid image of students, for example, why cats often curl up like a ball in winter so as to ensure that they are exposed to the air The smallest surface area, so as to lose as little heat as possible, so the minimum surface area of ​​the ball. However, when studying the question of which plane graph area is the largest when the circumference is equal, one student should say that the area of ​​the circle should be the largest. Teacher asked him why