【總結(jié)】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(hào)當(dāng)且僅當(dāng)時(shí)成立2,,,,,.ababababab?
2024-08-02 11:40
【總結(jié)】[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(hào)成立.2.n個(gè)正數(shù)a1,a2,?,an的算術(shù)—幾何平均不等式對(duì)于n個(gè)正數(shù)a1,a2,
2024-08-02 16:36
【總結(jié)】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(hào)成立,用文字語(yǔ)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(hào)
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【總結(jié)】絕對(duì)值不等式的解法2??????.,,,,,||;,,,,||,????????11111111即的點(diǎn)的集合數(shù)軸上到原點(diǎn)距離大于它的解集是由絕對(duì)值的幾何意義對(duì)于不等式即的點(diǎn)的集合小于點(diǎn)距離它的解集是數(shù)軸上到原幾何意義由絕對(duì)值的對(duì)于不等式我們知道xx.||;||,||,||,,
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