【摘要】思考:該結(jié)論可推廣到三個(gè)正數(shù),四個(gè)正數(shù),…,甚至n個(gè)正數(shù)嗎?002,,..abababab?????若則等號當(dāng)且僅當(dāng)時(shí)成立2,,,,,.ababababab?
2025-07-24 16:08
【摘要】3.三個(gè)正數(shù)的算術(shù)—幾何平均不等式1.定理3如果a,b,c∈R+,那么a+b+c3≥3abc,當(dāng)且僅當(dāng)時(shí),等號成立,用文字語言可敘述為:三個(gè)正數(shù)的不小于它們的.(1)不等式a+b+c3≥3abc成立的條件是:,而等號
2025-07-24 09:09
【摘要】[讀教材·填要點(diǎn)]1.三個(gè)正數(shù)的算術(shù)—幾何平均不等式如果a,b,c∈R+,那么a+b+c3≥,當(dāng)且僅當(dāng)時(shí),等號成立.2.n個(gè)正數(shù)a1,a2,?,an的算術(shù)—幾何平均不等式對于n個(gè)正數(shù)a1,a2,
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