奇數(shù)次冪是什么(幾次冪是奇函數(shù))|環(huán)球看熱訊
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冪函數(shù)是一個神奇的函數(shù),是高中基本初等函數(shù)之一。當冪函數(shù)的指數(shù)是奇數(shù)時,這個冪函數(shù)就是奇函數(shù);當指數(shù)是偶數(shù)時,這個冪函數(shù)就是偶函數(shù)。除此之外,當這個函數(shù)的指數(shù)是一個奇數(shù)比奇數(shù)的形式時,也是一個奇函數(shù)。但高中階段往往研究的是冪函數(shù)是整數(shù)的時候的奇偶性。
幾次冪是奇函數(shù)
冪函數(shù)指數(shù)為奇數(shù)或為奇/奇型最簡分數(shù)(如0.2,1/3,3/7等)時,為奇函數(shù)。指數(shù)為偶數(shù)或為偶/奇型最簡分數(shù)(如0.4,2/3,6/7等)時,為偶函數(shù)。指數(shù)是最簡分數(shù)分母為偶數(shù)的分數(shù)(如0.5,0.75,5/6等)或者是無理數(shù)時,為非奇非偶函數(shù)。
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