锟斤拷锟斤拷锟斤拷锟斤拷锟叫旓拷锟缴傦拷锟斤拷锟斤拷(sh锟斤拷)锟角凤拷锟斤拷同锟斤拷锟斤拷锟斤拷些锟斤拷锟斤拷锟斤拷锟紺锟斤拷锟缴傦拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷同锟斤拷2锟絅锟斤拷锟斤拷锟斤拷锟斤拷锟絯锟斤拷锟斤拷锟斤拷锟紿锟斤拷锟斤拷锟斤拷锟斤拷

锟斤拷锟斤拷锟叫旓拷锟缴傦拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷同锟侥凤拷锟斤拷

锟斤拷锟斤拷1锟斤拷锟斤拷锟斤拷锟絰锟斤拷锟角凤拷锟斤拷同锟斤拷锟斤拷锟斤拷锟斤拷x锟斤拷同锟斤拷锟斤拷锟姐函锟斤拷(sh锟斤拷)式锟斤拷式锟斤拷同锟斤拷也锟斤拷锟斤拷锟斤拷同锟侥猴拷锟斤拷(sh锟斤拷)锟斤拷

锟斤拷锟斤拷锟斤拷锟界函锟斤拷(sh锟斤拷)f锟斤拷x锟斤拷=x锟斤拷g锟斤拷x锟斤拷=x2/x锟斤拷锟組锟杰�锟�(d锟斤拷ng)x≠0锟絩锟斤拷锟缴傦拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷龋锟斤拷锟斤拷锟絝锟斤拷x锟斤拷锟侥讹拷锟絰锟斤拷锟斤拷全锟絯锟斤拷锟斤拷(sh锟斤拷)锟斤拷g锟斤拷x锟斤拷锟侥讹拷锟絰锟斤拷锟斤拷x≠0锟斤拷锟斤拷锟絰锟斤拷一锟斤拷锟斤拷锟斤拷锟皆诧拷锟斤拷锟斤拷同锟侥猴拷锟斤拷(sh锟斤拷)锟斤拷

锟斤拷锟斤拷2锟斤拷锟斤拷锟絰锟斤拷锟斤拷同锟斤拷锟斤拷r锟铰ｏ拷锟斤拷锟斤拷同锟斤拷x計锟斤拷锟斤拷锟斤拷暮锟斤拷锟�(sh锟斤拷)值锟角凤拷一锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟酵�锟斤拷x锟斤拷锟斤拷锟斤拷暮锟斤拷锟�(sh锟斤拷)值锟斤拷一锟接ｏ拷锟斤拷么锟酵诧拷锟斤拷锟斤拷同锟侥猴拷锟斤拷(sh锟斤拷)锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷f锟斤拷x锟斤拷=x锟斤拷g锟斤拷x锟斤拷=|x|锟斤拷锟斤拷锟絰锟斤拷锟斤拷同锟斤拷锟斤拷锟角�锟�(d锟斤拷ng)x锟斤拷0锟侥時锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)值锟斤拷同锟斤拷锟斤拷锟皆诧拷锟斤拷锟斤拷同锟侥猴拷锟斤拷(sh锟斤拷)锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟缴傦拷锟斤拷锟芥都锟斤拷同锟斤拷锟斤拷么锟斤拷一锟斤拷锟斤拷锟斤拷同锟侥猴拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷

锟斤拷锟斤拷锟絚锟斤拷锟介看锟斤拷锟竭匡拷锟斤拷(sh锟斤拷)锟絎(xu锟斤拷)锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟絵锟斤拷锟斤拷锟酵硷拷锟斤拷

锟斤拷锟斤拷锟叫斷函锟斤拷(sh锟斤拷)锟角凤拷锟斤拷同锟缴種锟斤拷锟斤拷

锟斤拷锟斤拷1.锟斤拷要锟截凤拷

锟斤拷锟斤拷锟斤拷(d锟斤拷ng)锟缴傦拷锟斤拷锟斤拷(sh锟斤拷)锟侥讹拷锟絰锟斤拷锟斤拷同锟斤拷锟揭岋拷锟斤拷(y锟斤拷ng)規(gu锟斤拷)锟斤拷锟斤拷同锟斤拷锟絫锟紷锟缴傦拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷同锟斤拷

锟斤拷锟斤拷锟紷锟斤拷锟�“锟斤拷锟絰锟斤拷”锟斤拷“锟斤拷锟斤拷(y锟斤拷ng)規(gu锟斤拷)锟斤拷”锟角猴拷锟斤拷(sh锟斤拷)锟侥兩傦拷要锟斤拷锟斤拷

锟斤拷锟斤拷2.锟紻锟斤拷

锟斤拷锟斤拷锟斤拷(d锟斤拷ng)锟缴傦拷锟斤拷锟斤拷(sh锟斤拷)锟侥圖锟斤拷锟斤拷全锟截合ｏ拷锟紷锟缴傦拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷同锟斤拷

锟斤拷锟斤拷注锟斤拷锟斤拷c锟斤拷

锟斤拷锟斤拷1.锟饺伙拷锟斤拷锟斤拷锟劫憋拷锟絕锟斤拷

锟斤拷锟斤拷2.锟斤拷锟斤拷(sh锟斤拷)锟絇(gu锟斤拷n)系锟侥憋拷示锟絚锟斤拷锟矫碉拷锟斤拷母锟給锟絇(gu锟斤拷n)锟斤拷

锟斤拷锟斤拷锟斤拷锟界：f(x)=3x^2+2x-1锟絚g(t)=3t^2+2t-1锟斤拷锟皆匡拷锟斤拷锟斤拷同一锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷

锟斤拷锟斤拷y=|x| 锟絚 y=锟斤拷號锟斤拷x平锟斤拷锟斤拷|x|锟斤拷

锟斤拷锟斤拷锟角★拷

锟斤拷锟斤拷y=3logax y=logax3锟轿凤拷锟斤拷3loga x锟斤拷

锟斤拷锟斤拷锟斤拷

锟斤拷锟斤拷y=lg(x^2-1) ,锟斤拷|x|>1锟斤拷锟絚 y=lg(x锟斤拷1)+lg(x-1)锟斤拷loga (x^2-1) ,(x>1)锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟絰锟斤拷同锟斤拷

锟斤拷锟斤拷y=x锟絚 y=2^log2x锟斤拷x,(x>0)

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟絰锟斤拷同锟斤拷

锟斤拷锟斤拷y=锟斤拷號锟斤拷1+cos2x锟斤拷锟斤拷號锟斤拷2 *|cosx| 锟絚 y=锟斤拷號锟斤拷2 *cosx

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷(y锟斤拷ng)規(gu锟斤拷)锟缴诧拷同锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷映锟斤拷锟紷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷(y锟斤拷ng)锟斤拷锟絖锟斤拷锟铰庯拷锟絚锟斤拷

锟斤拷锟斤拷锟斤拷映锟斤拷锟叫的兩傦拷锟斤拷锟斤拷a锟斤拷b锟斤拷锟斤拷锟角旓拷(sh锟斤拷)锟斤拷锟斤拷锟絚锟斤拷锟斤拷锟缴圖锟轿組锟缴的硷拷锟斤拷锟皆硷拷锟斤拷锟斤拷元锟截的硷拷锟斤拷.

锟斤拷锟斤拷锟斤拷映锟斤拷锟斤拷锟叫凤拷锟斤拷锟�锟斤拷a锟斤拷b锟斤拷映锟斤拷锟絚b锟斤拷a锟斤拷映锟斤拷锟斤拷锟斤拷锟角诧拷锟斤拷同锟斤拷.

锟斤拷锟斤拷锟斤拷映锟斤拷要锟襟對硷拷锟斤拷a锟叫碉拷每一锟斤拷元锟斤拷锟节硷拷锟斤拷b锟叫讹拷锟斤拷锟斤拷锟斤拷锟斤拷锟紷锟斤拷锟斤拷锟斤拷唯一锟絖锟斤拷锟斤拷.锟紷锟絅锟斤拷锟斤拷a锟斤拷元锟截碉拷锟斤拷锟斤拷锟皆猴拷锟节硷拷锟斤拷b锟叫岋拷锟斤拷(y锟斤拷ng)锟斤拷元锟截碉拷唯一锟皆橈拷(g锟斤拷u)锟斤拷锟斤拷映锟斤拷暮锟斤拷锟�.

锟斤拷锟�锟斤拷锟接筹拷锟斤拷锟斤拷S锟斤拷锟斤拷b锟叫碉拷某些元锟斤拷锟节硷拷锟斤拷a锟叫沒锟斤拷原锟斤拷也锟斤拷锟斤拷锟斤拷锟斤拷M锟缴的硷拷锟斤拷.

锟斤拷锟�锟斤拷锟接筹拷锟斤拷锟斤拷S锟斤拷锟斤拷a锟叫诧拷同锟斤拷元锟斤拷锟节硷拷锟斤拷b锟斤拷锟斤拷锟斤拷同锟斤拷锟斤拷锟斤拷锟斤拷映锟斤拷只锟斤拷锟斤拷“锟斤拷锟斤拷一”锟斤拷“一锟斤拷一”锟斤拷锟斤拷锟斤拷锟斤拷“一锟斤拷锟斤拷”.

锟斤拷锟斤拷一一映锟戒：锟絆(sh锟斤拷)a锟斤拷b锟角兩傦拷锟斤拷锟较ｏ拷f锟斤拷a→b锟角從硷拷锟斤拷a锟斤拷锟斤拷锟斤拷b锟斤拷映锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷@锟斤拷映锟斤拷锟斤拷锟斤拷锟斤拷锟�锟斤拷锟斤拷锟节硷拷锟斤拷a锟叫的诧拷同锟斤拷元锟斤拷锟斤拷锟节硷拷锟斤拷b锟斤拷锟叫诧拷同锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷b锟斤拷每一元锟截讹拷锟斤拷原锟斤拷锟斤拷么锟紷锟斤拷映锟斤拷锟斤拷锟斤拷锟絘锟斤拷b锟较碉拷一一映锟斤拷.一一映锟斤拷锟斤拷锟揭伙拷锟揭伙拷锟斤拷锟絙锟給锟斤拷锟接筹拷锟�.

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷映锟斤拷锟斤拷锟絩要注锟解：锟斤拷a锟斤拷元锟截憋拷須讹拷锟斤拷锟斤拷锟斤拷唯一锟斤拷锟斤拷b锟斤拷元锟截诧拷一锟斤拷锟斤拷锟斤拷原锟斤拷锟斤拷锟斤拷原锟斤拷一锟斤拷唯一锟�锟斤拷锟斤拷Y(ji锟斤拷)锟斤拷取元锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷唯一锟皆★拷

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷锟斤拷锟斤拷猓�

锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷要锟斤拷

锟斤拷锟�锟斤拷锟�1锟斤拷锟斤拷锟斤拷——锟斤拷锟斤拷(y锟斤拷ng)锟斤拷锟絫锟斤拷式y(t锟斤拷ng)=f(x)锟斤拷锟斤拷锟斤拷锟斤拷锟节讹拷锟絰锟斤拷锟叫碉拷锟斤拷锟斤拷x锟斤拷锟斤拷“锟斤拷锟斤拷(y锟斤拷ng)锟斤拷锟絫f”锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟缴得碉拷y(t锟斤拷ng).锟斤拷锟�锟斤拷f锟斤拷使“锟斤拷锟斤拷(y锟斤拷ng)”锟斤拷锟皆岋拷锟紽(xi锟斤拷n)锟侥凤拷锟斤拷锟斤拷途锟斤拷.锟斤拷聯(li锟斤拷n)系x锟絚y锟侥紐锟斤拷锟斤拷锟侥讹拷锟角猴拷锟斤拷(sh锟斤拷)锟侥猴拷锟斤拷.锟斤拷锟节憋拷锟絕锟斤拷锟轿的猴拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷锟斤拷(y锟斤拷ng)锟斤拷锟絫锟斤拷锟斤拷锟斤拷一锟斤拷锟斤拷锟斤拷式锟斤拷锟斤拷示锟斤拷锟斤拷锟节诧拷锟斤拷锟絕锟斤拷锟�(f锟斤拷)锟絪锟侥嗭拷锟絵锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟侥岋拷锟斤拷(y锟斤拷ng)锟斤拷锟絫f也锟斤拷锟皆诧拷锟斤拷锟斤拷锟斤拷锟斤拷式锟斤拷锟斤拷D锟斤拷锟斤拷D锟斤拷龋锟�.

锟斤拷锟�锟斤拷锟�2锟斤拷锟斤拷锟絰锟斤拷锟絰锟斤拷锟斤拷锟斤拷變锟斤拷x锟斤拷取值锟斤拷锟斤拷锟斤拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)锟斤拷一锟斤拷锟斤拷锟斤拷缺锟劫的組锟缴诧拷锟斤拷锟斤拷锟斤拷锟絰锟斤拷同锟斤拷锟斤拷锟斤拷式锟斤拷同锟侥猴拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷(y锟斤拷ng)锟斤拷锟斤拷锟角兩傦拷锟斤拷同锟侥猴拷锟斤拷(sh锟斤拷).锟斤拷锟叫學(xu锟斤拷)锟紸锟斤拷锟斤拷锟叫撅拷锟侥猴拷锟斤拷(sh锟斤拷)通锟斤拷锟斤拷锟斤拷锟杰夛拷锟矫斤拷锟斤拷式锟斤拷示锟斤拷.锟斤拷锟斤拷]锟斤拷锟截別锟絝锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟侥讹拷锟絰锟斤拷锟斤拷锟街革拷锟绞癸拷@锟斤拷式锟斤拷锟斤拷锟斤拷锟絰锟斤拷锟斤拷锟叫岋拷锟斤拷(sh锟斤拷)x锟侥硷拷锟斤拷.锟节岋拷锟紿锟斤拷锟絵锟斤拷锟斤拷還锟斤拷須匡拷锟絔锟斤拷變锟斤拷锟斤拷锟斤拷锟斤拷锟侥撅拷锟絯锟斤拷锟斤拷锟斤拷锟斤拷锟絊取值锟斤拷锟斤拷锟斤拷锟絵.

锟斤拷锟�锟斤拷锟�3锟斤拷值锟斤拷值锟斤拷锟斤拷全锟絯锟斤拷锟斤拷(sh锟斤拷)值锟斤拷锟組锟缴的硷拷锟斤拷.锟斤拷一锟斤拷锟斤拷r锟铰ｏ拷一锟斤拷锟斤拷锟絰锟斤拷蛯锟斤拷锟�(y锟斤拷ng)锟斤拷锟絫锟絖锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷值锟斤拷也锟斤拷锟絊之锟絖锟斤拷.锟斤拷锟�锟斤拷锟叫旓拷锟缴傦拷锟斤拷锟斤拷(sh锟斤拷)锟角凤拷锟斤拷同锟斤拷只要锟斤拷锟戒定锟絰锟斤拷锟絚锟斤拷锟斤拷(y锟斤拷ng)锟斤拷锟絫锟角凤拷锟斤拷全锟斤拷同锟斤拷锟斤拷锟斤拷同锟斤拷锟斤拷同一锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷锟斤拷锟絰锟斤拷蛯锟斤拷锟�(y锟斤拷ng)锟斤拷锟絫锟斤拷锟斤拷一锟斤拷锟斤拷同锟斤拷锟酵诧拷锟斤拷同一锟斤拷锟斤拷锟斤拷(sh锟斤拷).同一锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷锟斤拷锟斤拷(g锟斤拷u)锟缴猴拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷要锟斤拷锟角讹拷锟絰锟斤拷值锟斤拷蛯锟斤拷锟�(y锟斤拷ng)锟斤拷锟絫锟斤拷锟斤拷值锟斤拷锟斤拷啥锟斤拷x锟斤拷蛯锟斤拷锟�(y锟斤拷ng)锟斤拷锟絫唯一锟絖锟斤拷锟斤拷锟斤拷水锟�(d锟斤拷ng)锟缴傦拷锟斤拷锟斤拷(sh锟斤拷)锟侥讹拷锟絰锟斤拷蛯锟斤拷锟�(y锟斤拷ng)锟斤拷锟絫锟斤拷同锟絩锟斤拷锟斤拷锟斤拷一锟斤拷锟斤拷同一锟斤拷锟斤拷(sh锟斤拷)锟斤拷

锟斤拷锟�锟斤拷锟�4锟斤拷锟絇(gu锟斤拷n)锟节猴拷锟斤拷(sh锟斤拷)锟斤拷號y=f(x)

锟斤拷锟斤拷1.y=f(x)锟斤拷“y锟斤拷x锟侥猴拷锟斤拷(sh锟斤拷)”锟紷锟斤拷話锟侥旓拷(sh锟斤拷)锟絎(xu锟斤拷)锟斤拷示.锟紿锟紿锟角猴拷锟斤拷(sh锟斤拷)锟斤拷號锟斤拷锟斤拷锟角憋拷示“y锟斤拷锟斤拷f锟絚x锟侥乘積”.f(x)也锟斤拷一锟斤拷锟角斤拷锟斤拷式.

锟斤拷锟斤拷2.f(x)锟絚f(a)锟侥區(q锟斤拷)锟絜锟斤拷f(x)锟斤拷x锟侥猴拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷通锟斤拷锟斤拷r锟斤拷锟斤拷锟斤拷锟斤拷一锟斤拷變锟斤拷.f(a)锟斤拷示锟斤拷變锟斤拷x=a锟絩锟斤拷锟矫的猴拷锟斤拷(sh锟斤拷)值锟斤拷锟斤拷锟斤拷一锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷一锟斤拷锟斤拷(sh锟斤拷)值.f(a)锟斤拷f(x)锟斤拷一锟斤拷锟斤拷(d锟斤拷ng)x=a锟絩锟斤拷锟斤拷锟斤拷值.

锟斤拷锟斤拷3.锟斤拷锟斤拷蓚锟斤拷锟斤拷锟�(sh锟斤拷)锟侥讹拷锟絰锟斤拷蛯锟斤拷锟�(y锟斤拷ng)锟斤拷锟絫锟斤拷同锟絤然锟斤拷示锟斤拷變锟斤拷锟斤拷锟絚锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷母锟斤拷锟斤拷同锟斤拷锟斤拷么锟斤拷锟斤拷?n锟斤拷i)锟饺伙拷锟酵�一锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷x锟斤拷锟絚锟斤拷锟斤拷(y锟斤拷ng)锟斤拷锟絫锟斤拷锟斤拷锟斤拷锟斤拷一锟斤拷锟斤拷锟斤拷同锟斤拷锟斤拷么锟斤拷锟斤拷锟酵诧拷锟斤拷同一锟斤拷锟斤拷锟斤拷(sh锟斤拷).

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