调和、算术、几何与平方平均数之间的不等式几何演示
2020-08-11 14:38
本 GeoGebra 范例通过半圆、正交线段与圆弧等几何作图,直观演示调和平均数(HM)、算术平均数(AM)、几何平均数(GM)与平方平均数(QM)之间经典的不等式链 HM ≤ GM ≤ AM ≤ QM。用户可拖动端点改变两正数的大小,实时观察四种平均数对应线段长度的变化与大小关系,加深对均值不等式的几何直觉理解。
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