正切函數(shù)的圖象知識(shí)梳理正弦函數(shù)余弦函數(shù)正切函數(shù)y

=tanx圖象性質(zhì)正切函數(shù)的圖象正切函數(shù)的圖象知識(shí)梳理問題1正切函數(shù)的定義是什么？對(duì)于任意一個(gè)角x，只要就有唯一確定的正切值tanx與之對(duì)應(yīng)，因此y=tanx就是一個(gè)以角x為自變量的函數(shù),稱為正切函數(shù).x角x的正切值y定義問題2正切函數(shù)的圖象知識(shí)梳理正切函數(shù)的定義域是什么？Oxyαtanαx≠0正切函數(shù)的定義域:正切值不存在P(x,y)正切函數(shù)的圖象知識(shí)梳理問題3正切函數(shù)是否具有周期性？y=tanxtan

(x+T)=tanxtan

(x+π)=tanxT=π正切函數(shù)是以π為周期的周期函數(shù)誘導(dǎo)公式········································································································································································································正切函數(shù)的圖象知識(shí)梳理問題4正切函數(shù)是否具有奇偶性？tan

(–x)=–tanx正切函數(shù)是奇函數(shù)誘導(dǎo)公式正切函數(shù)的圖象知識(shí)梳理正切函數(shù)的圖象定義域值域?qū)ΨQ性單調(diào)性奇偶性周期性正切函數(shù)的性質(zhì)正切函數(shù)的圖象正切函數(shù)的圖象知識(shí)梳理定義域:周期：T=π奇偶性：奇函數(shù)在處不存在.以π為周期不斷重復(fù)出現(xiàn).關(guān)于原點(diǎn)對(duì)稱正切函數(shù)的圖象知識(shí)梳理畫出一個(gè)周期內(nèi)的圖象整個(gè)定義域內(nèi)的完整圖象左右平移畫出內(nèi)的圖象關(guān)于原點(diǎn)對(duì)稱正切函數(shù)的圖象周期為π正切函數(shù)的圖象知識(shí)梳理探究如何畫出y=tanx,內(nèi)的圖象？Oxy1xMtanxA(1,0)TB(x0,y0)········································································································································································································正切函數(shù)的圖象知識(shí)梳理OxyO1從左向右呈不斷上升趨勢，且向右上方無限逼近直線探究如何畫出y=tanx,