常見函數(shù)的奇偶性PPT學(xué)習(xí)教案

1、會(huì)計(jì)學(xué)1常見函數(shù)的奇偶性常見函數(shù)的奇偶性復(fù)習(xí)復(fù)習(xí)1.奇函數(shù)奇函數(shù)2.偶函數(shù)偶函數(shù)對(duì)對(duì) 定義域內(nèi)的任意定義域內(nèi)的任意x, 都有都有)(f x)(f)- (fxx)(f)- (fxx 對(duì)對(duì) 定義域內(nèi)的任意定義域內(nèi)的任意x, 都有都有)(f x奇函數(shù)性質(zhì)奇函數(shù)性質(zhì)：0)0(f偶函數(shù)性質(zhì)偶函數(shù)性質(zhì)：圖象關(guān)于原點(diǎn)對(duì)稱；圖象關(guān)于原點(diǎn)對(duì)稱；若在若在x=0處有意義，則處有意義，則圖象關(guān)于圖象關(guān)于y軸對(duì)稱；軸對(duì)稱；)(f)- (fxx )(f)- (fxx第1頁(yè)/共7頁(yè)3.3.判斷函數(shù)奇偶性的步驟：判斷函數(shù)奇偶性的步驟：.判斷判斷 定義域是否關(guān)于原點(diǎn)對(duì)稱，若定義域是否關(guān)于原點(diǎn)對(duì)稱，若定義域關(guān)于原點(diǎn)不對(duì)稱，則為非

2、奇非偶函數(shù)定義域關(guān)于原點(diǎn)不對(duì)稱，則為非奇非偶函數(shù)；若定義域關(guān)于原點(diǎn)對(duì)稱，則進(jìn)行第；若定義域關(guān)于原點(diǎn)對(duì)稱，則進(jìn)行第步；步；)(f x.判斷判斷 與與 的關(guān)系；的關(guān)系；)(f x)- (fx)(f)- (fxx)(f)- (fxx ，且)(f)- (fxx )(f)- (fxx，且)(f)- (fxx )(f)- (fxx，且)(f)- (fxx)(f)- (fxx ，且奇函數(shù)奇函數(shù)既奇又偶函數(shù)既奇又偶函數(shù)非奇非偶函數(shù)非奇非偶函數(shù)偶函數(shù)偶函數(shù)0)x(f第2頁(yè)/共7頁(yè)奇函數(shù))0()(f1.kkxx正比例函數(shù))0()(f2.kbkxx一次函數(shù))0()(f3.kxkx反比例函數(shù)) 10()(f4.aaxax且指數(shù)函數(shù)) 10(log)(f5.aaxxa且對(duì)數(shù)函數(shù)非奇非偶函數(shù)b=0時(shí)， 奇函數(shù)b0時(shí)，奇函數(shù)非奇非偶函數(shù)非奇非偶函數(shù)第3頁(yè)/共7頁(yè)）（二次函數(shù)0. 62acbxaxy0, 01cb）（0, 02cb）（0, 03cb）（0, 04cb）（偶函數(shù)偶函數(shù)偶函數(shù)偶函數(shù)非奇非偶函數(shù)非奇非偶函數(shù)）為偶函數(shù)；（時(shí)，二次函數(shù)綜上，當(dāng)002acbxaxyb時(shí)，為非奇非偶函數(shù)；當(dāng)0b第4頁(yè)/共7頁(yè)7.三角函數(shù)三角函數(shù).正弦函數(shù)正弦函數(shù)xxsin)(f.余弦函數(shù)余弦函數(shù)xxcos)(f.正切函數(shù)