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奇函數(shù)乘以奇函數(shù)等于偶函數(shù)。奇函數(shù)乘偶函數(shù)是奇函數(shù),奇函數(shù)加減奇函數(shù)是奇函數(shù),偶函數(shù)加減偶函數(shù)是偶函數(shù),奇函數(shù)乘奇函數(shù)是偶函數(shù),偶函數(shù)乘偶函數(shù)是偶函數(shù)。偶函數(shù)乘偶函數(shù)是偶函數(shù)。
1、奇偶函數(shù)的加法規(guī)則
(1)奇函數(shù)加奇函數(shù)所得函數(shù)為奇函數(shù)。
(2)偶函數(shù)加偶函數(shù)所得函數(shù)是偶函數(shù)。
(3)偶函數(shù)加奇函數(shù)所得函數(shù)為非奇非偶函數(shù)。
2、奇偶函數(shù)的減法規(guī)則
(1)奇函數(shù)減去奇函數(shù)所得為奇函數(shù)。
(2)偶函數(shù)減去偶函數(shù)所得為偶函數(shù)。
(3)奇函數(shù)減去偶函數(shù)所得為非奇非偶函數(shù)。
3、奇偶函數(shù)的乘法規(guī)則
(1)奇函數(shù)乘以奇函數(shù)所得函數(shù)為偶函數(shù)。
(2)奇函數(shù)乘以偶函數(shù)所得函數(shù)為奇函數(shù)。
(3)偶函數(shù)乘以偶函數(shù)所得為偶函數(shù)。
4、奇偶函數(shù)的除法規(guī)則
(1)奇函數(shù)除以奇函數(shù)所得函數(shù)為偶函數(shù)。
(2)奇函數(shù)除以偶函數(shù)所得函數(shù)為奇函數(shù)。
(3)偶函數(shù)除以偶函數(shù)所得為偶函數(shù)。
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