【正文】
gle relevant problem, is it worth most to ask, the application which solves such questions as the equation ,etc. provides several examples.Keyword:inequation prove application柯西(Cauchy)不等式 等號(hào)當(dāng)且僅當(dāng)或時(shí)成立(k為常數(shù),)現(xiàn)將它的證明介紹如下:證明1:構(gòu)造二次函數(shù) = 恒成立即當(dāng)且僅當(dāng) 即時(shí)等號(hào)成立證明(2)數(shù)學(xué)歸納法 (1)當(dāng)時(shí) 左式= 右式=顯然 左式=右式當(dāng) 時(shí), 右式 右式 僅當(dāng)即 即時(shí)等號(hào)成立故時(shí) 不等式成立 (2)假設(shè)時(shí),不等式成立即 當(dāng) ,k為常數(shù), 或時(shí)等號(hào)成立設(shè) 則 當(dāng) ,k為常數(shù), 或時(shí)等號(hào)成立即 時(shí)不等