【数学基本不等式求证】设a1,a2,a3,……,an都是正实数,则基本不等式可推广为: (a1a2a3a……an))^(1/n)≤(a1+a2+……+an)÷n (当且仅当a1=a2=……an时取等号)请先用n=3求证一下
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![【数学基本不等式求证】设a1,a2,a3,……,an都是正实数,则基本不等式可推广为: (a1a2a3a……an))^(1/n)≤(a1+a2+……+an)÷n (当且仅当a1=a2=……an时取等号)请先用n=3求证一下](/uploads/image/z/10376781-69-1.jpg?t=%E3%80%90%E6%95%B0%E5%AD%A6%E5%9F%BA%E6%9C%AC%E4%B8%8D%E7%AD%89%E5%BC%8F%E6%B1%82%E8%AF%81%E3%80%91%E8%AE%BEa1%2Ca2%2Ca3%2C%E2%80%A6%E2%80%A6%2Can%E9%83%BD%E6%98%AF%E6%AD%A3%E5%AE%9E%E6%95%B0%2C%E5%88%99%E5%9F%BA%E6%9C%AC%E4%B8%8D%E7%AD%89%E5%BC%8F%E5%8F%AF%E6%8E%A8%E5%B9%BF%E4%B8%BA%EF%BC%9A%E3%80%80%E3%80%80%28a1a2a3a%E2%80%A6%E2%80%A6an%29%29%5E%281%2Fn%29%E2%89%A4%28a1%2Ba2%2B%E2%80%A6%E2%80%A6%2Ban%29%C3%B7n+%E3%80%80%E3%80%80%28%E5%BD%93%E4%B8%94%E4%BB%85%E5%BD%93a1%3Da2%3D%E2%80%A6%E2%80%A6an%E6%97%B6%E5%8F%96%E7%AD%89%E5%8F%B7%EF%BC%89%E8%AF%B7%E5%85%88%E7%94%A8n%3D3%E6%B1%82%E8%AF%81%E4%B8%80%E4%B8%8B)
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