锟斤拷锟斤拷2020锟竭匡拷锟斤拷锟斤拷锟絖锟斤拷(zh锟斤拷n)锟斤拷锟斤拷锟�(zh锟斤拷n)锟斤拷锟斤拷藛锟�锟斤拷锟竭匡拷锟絎(w锟斤拷ng)小锟斤拷锟斤拷锟轿伙拷锟斤拷锟斤拷锟斤拷锟斤拷锟揭恍╋拷呖锟斤拷锟�(f锟斤拷)锟斤拷(x锟斤拷)锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷覅锟斤拷锟斤拷锟絰锟斤拷

锟斤拷锟斤拷1锟斤拷锟斤拷锟秸硷拷锟斤拷锟絗

锟斤拷锟斤拷锟斤拷锟节空硷拷锟斤拷锟轿何非空硷拷锟较碉拷锟斤拷锟接硷拷锟斤拷锟斤拷锟紹=锟秸硷拷锟絩(sh锟斤拷)也锟組锟斤拷B锟斤拷锟斤拷锟紸.锟解含锟叫咃拷锟斤拷(sh锟斤拷)锟侥硷拷锟较嗭拷锟絵锟絩(sh锟斤拷)锟斤拷要锟截別注锟解當(d锟斤拷ng)锟斤拷锟斤拷(sh锟斤拷)锟斤拷某锟斤拷(g锟斤拷)锟斤拷锟斤拷锟斤拷(n锟斤拷i)取值锟絩(sh锟斤拷)锟斤拷锟給锟侥硷拷锟较匡拷锟斤拷锟角空硷拷锟紷锟絅锟斤拷r锟斤拷

锟斤拷锟斤拷2锟斤拷锟斤拷視锟斤拷锟斤拷元锟截碉拷锟斤拷锟斤拷锟斤拷锟絗

锟斤拷锟斤拷锟斤拷锟斤拷锟叫碉拷元锟截撅拷锟叫確锟斤拷锟斤拷锟斤拷锟給(w锟斤拷)锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟皆ｏ拷锟斤拷锟斤拷元锟截碉拷锟斤拷锟斤拷锟叫伙拷锟斤拷锟皆岋拷(du锟斤拷)锟斤拷锟絵锟斤拷影锟斤拷锟斤拷锟斤拷锟截別锟角庯拷锟斤拷锟斤拷母锟斤拷锟斤拷(sh锟斤拷)锟侥硷拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟紿锟较撅拷锟絒锟斤拷锟斤拷锟斤拷(du锟斤拷)锟斤拷母锟斤拷锟斤拷(sh锟斤拷)锟斤拷一些要锟斤拷锟斤拷

锟斤拷锟斤拷3锟斤拷锟斤拷锟斤拷锟斤拷锟絵锟侥凤拷锟絚锟斤拷锟斤拷锟絵

锟斤拷锟斤拷锟斤拷锟絵锟斤拷“锟斤拷”锟絚锟斤拷锟絵锟斤拷“锟斤拷锟斤拷锟絵”锟角兩傦拷(g锟斤拷)锟斤拷同锟侥革拷锟筋，锟斤拷锟絵p锟侥凤拷锟角凤拷锟斤拷锟絵锟斤拷锟斤拷锟斤拷锟叫旓拷锟斤拷锟斤拷“锟斤拷锟斤拷锟絵”锟角岋拷(du锟斤拷)“锟斤拷p锟斤拷锟絫q”锟斤拷式锟斤拷锟斤拷锟絵锟斤拷锟斤拷锟斤拷锟斤拷要锟今定條锟斤拷也要锟今定結(ji锟斤拷)論锟斤拷

锟斤拷锟斤拷4锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟侥嗭拷锟絳(di锟斤拷o)锟絕(q锟斤拷)锟絞锟斤拷锟解不锟斤拷(zh锟斤拷n)锟斤拷锟絗

锟斤拷锟斤拷锟斤拷锟叫撅拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟絵锟絩(sh锟斤拷)要锟絩(sh锟斤拷)锟絩(sh锟斤拷)锟教匡拷锟诫到“锟斤拷锟斤拷(sh锟斤拷)锟侥圖锟斤拷”锟斤拷锟絎(xu锟斤拷)锟斤拷(hu锟斤拷)锟侥猴拷锟斤拷(sh锟斤拷)锟紻锟斤拷锟斤拷去锟斤拷锟斤拷锟斤拷锟絵锟斤拷锟斤拷锟揭斤拷Q锟斤拷锟絵锟侥凤拷锟斤拷.锟斤拷(du锟斤拷)锟节猴拷锟斤拷(sh锟斤拷)锟侥幾傦拷(g锟斤拷)锟斤拷同锟侥嗭拷锟絳(di锟斤拷o)锟絝锟斤拷(锟絧)锟絕(q锟斤拷)锟絞锟斤拷锟叫硷拷使锟矫诧拷锟斤拷锟斤拷只要指锟斤拷锟紷锟阶傦拷(g锟斤拷)锟絕(q锟斤拷)锟絞锟斤拷該锟斤拷锟斤拷(sh锟斤拷)锟侥嗭拷锟絳(di锟斤拷o)锟絝锟斤拷(锟絧)锟絕(q锟斤拷)锟絞锟斤拷锟斤拷锟斤拷

锟斤拷锟斤拷5锟斤拷锟叫斷函锟斤拷(sh锟斤拷)锟斤拷偶锟皆猴拷锟皆讹拷锟絰锟斤拷锟斤拷锟絗

锟斤拷锟斤拷锟叫斷函锟斤拷(sh锟斤拷)锟斤拷锟斤拷偶锟斤拷锟斤拷锟斤拷锟斤拷要锟斤拷锟絔锟斤拷锟斤拷(sh锟斤拷)锟侥讹拷锟絰锟斤拷锟斤拷一锟斤拷(g锟斤拷)锟斤拷锟斤拷(sh锟斤拷)锟竭傦拷锟斤拷偶锟皆的憋拷要锟絣锟斤拷锟斤拷锟紷锟斤拷(g锟斤拷)锟斤拷锟斤拷(sh锟斤拷)锟侥讹拷锟絰锟斤拷锟絇(gu锟斤拷n)锟斤拷原锟絚(di锟斤拷n)锟斤拷(du锟斤拷)锟絈锟斤拷锟斤拷锟斤拷锟斤拷邆锟斤拷@锟斤拷(g锟斤拷)锟絣锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)一锟斤拷锟角凤拷锟斤拷锟脚硷拷锟斤拷锟�(sh锟斤拷)

锟斤拷锟斤拷6锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟絚(di锟斤拷n)锟斤拷锟斤拷使锟矫诧拷锟斤拷(d锟斤拷ng)锟斤拷锟絗

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟�(sh锟斤拷)y=f(x)锟节區(q锟斤拷)锟絞[a锟斤拷b]锟较的圖锟斤拷锟斤拷一锟絣锟紹锟絤(x锟斤拷)锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷f(a)f(b)<0锟斤拷锟斤拷么锟斤拷锟斤拷锟斤拷(sh锟斤拷)y=f(x)锟节區(q锟斤拷)锟絞(a锟斤拷b)锟斤拷(n锟斤拷i)锟斤拷锟斤拷锟絚(di锟斤拷n)锟斤拷锟斤拷f(a)f(b)>0锟絩(sh锟斤拷)锟斤拷锟斤拷锟杰否定猴拷锟斤拷(sh锟斤拷)y=f(x)锟斤拷(a锟斤拷b)锟斤拷(n锟斤拷i)锟斤拷锟斤拷锟絚(di锟斤拷n).锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷锟絚(di锟斤拷n)锟斤拷“變號(h锟斤拷o)锟斤拷锟絚(di锟斤拷n)”锟斤拷“锟斤拷變號(h锟斤拷o)锟斤拷锟絚(di锟斤拷n)”锟斤拷锟斤拷(du锟斤拷)锟斤拷“锟斤拷變號(h锟斤拷o)锟斤拷锟絚(di锟斤拷n)”锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷锟絚(di锟斤拷n)锟斤拷锟斤拷锟斤拷“锟給(w锟斤拷)锟杰烇拷锟斤拷”锟斤拷锟斤拷锟节斤拷Q锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷锟絚(di锟斤拷n)锟斤拷锟絵锟絩(sh锟斤拷)要注锟斤拷锟紷锟斤拷(g锟斤拷)锟斤拷锟絵

锟斤拷锟斤拷7锟斤拷锟斤拷(d锟斤拷o)锟斤拷(sh锟斤拷)锟侥幾猴拷锟斤拷锟絰锟斤拷锟斤拷锟斤拷锟絗

锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷一锟絚(di锟斤拷n)處锟侥岋拷(d锟斤拷o)锟斤拷(sh锟斤拷)值锟角猴拷锟斤拷(sh锟斤拷)锟紻锟斤拷锟斤拷該锟絚(di锟斤拷n)處锟斤拷锟叫撅拷锟斤拷斜锟斤拷.锟斤拷锟斤拷锟絊锟斤拷锟斤拷锟絵锟叫ｏ拷锟斤拷锟斤拷锟斤拷要锟斤拷Q锟絕锟斤拷锟斤拷(sh锟斤拷)锟紻锟斤拷锟斤拷锟揭伙拷c(di锟斤拷n)锟津函旓拷(sh锟斤拷)锟紻锟斤拷锟斤拷锟斤拷锟叫撅拷锟侥嗭拷锟絵锟斤拷锟斤拷Q锟紷類嗭拷锟絵锟侥伙拷锟斤拷思锟斤拷锟斤拷锟絆(sh锟斤拷)锟斤拷锟斤拷锟絚(di锟斤拷n)锟斤拷锟斤拷(bi锟斤拷o)锟斤拷锟斤拷锟斤拷(j锟斤拷)锟斤拷(d锟斤拷o)锟斤拷(sh锟斤拷)锟侥幾猴拷锟斤拷锟絰锟斤拷锟斤拷锟叫撅拷锟斤拷锟斤拷.然锟斤拷锟斤拷锟�(j锟斤拷)锟絵目锟叫給锟斤拷锟斤拷锟斤拷锟斤拷锟絣锟斤拷锟叫凤拷锟斤拷(锟組)锟斤拷锟�.锟斤拷私锟斤拷}锟斤拷要锟斤拷锟斤拷锟斤拷“锟斤拷某锟絚(di锟斤拷n)處锟斤拷锟叫撅拷”锟斤拷還锟斤拷“锟絕某锟絚(di锟斤拷n)锟斤拷锟叫撅拷”锟斤拷

锟斤拷锟斤拷8锟斤拷锟斤拷(d锟斤拷o)锟斤拷(sh锟斤拷)锟絚锟絆值锟絇(gu锟斤拷n)系锟斤拷锟斤拷锟斤拷锟絗

锟斤拷锟斤拷f′(x0)=0只锟角可岋拷(d锟斤拷o)锟斤拷锟斤拷(sh锟斤拷)f(x)锟斤拷x0處取锟矫極值锟侥憋拷要锟絣锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷@锟斤拷(g锟斤拷)锟絣锟斤拷锟斤拷锟斤拷只锟斤拷锟紷锟斤拷(g锟斤拷)锟絣锟斤拷還锟斤拷锟斤拷锟斤拷還要锟斤拷锟絔锟角凤拷M锟斤拷f′(x)锟斤拷x0锟缴傦拷(c锟斤拷)锟斤拷號(h锟斤拷o).锟斤拷锟解，锟斤拷知锟絆值锟絚(di锟斤拷n)锟襟參旓拷(sh锟斤拷)锟絩(sh锟斤拷)要锟組(j锟斤拷n)锟叫檢锟�(y锟斤拷n)锟斤拷

锟斤拷锟斤拷9锟斤拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)锟侥嗭拷锟絳(di锟斤拷o)锟斤拷锟叫旓拷锟斤拷锟絗

锟斤拷锟斤拷锟斤拷(du锟斤拷)锟节猴拷锟斤拷(sh锟斤拷)y=Asin(ωx+φ)锟侥嗭拷锟絳(di锟斤拷o)锟斤拷锟斤拷锟斤拷(d锟斤拷ng)ω>0锟絩(sh锟斤拷)锟斤拷锟斤拷锟节冿拷(n锟斤拷i)锟接猴拷锟斤拷(sh锟斤拷)u=ωx+φ锟角嗭拷锟絳(di锟斤拷o)锟絝锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷該锟斤拷锟斤拷(sh锟斤拷)锟侥嗭拷锟絳(di锟斤拷o)锟皆猴拷y=sin x锟侥嗭拷锟絳(di锟斤拷o)锟斤拷锟斤拷同锟斤拷锟绞匡拷锟斤拷全锟斤拷锟秸猴拷锟斤拷(sh锟斤拷)y=sin x锟侥嗭拷锟絳(di锟斤拷o)锟絕(q锟斤拷)锟絞锟斤拷Q;锟斤拷锟斤拷(d锟斤拷ng)ω<0锟絩(sh锟斤拷)锟斤拷锟斤拷(n锟斤拷i)锟接猴拷锟斤拷(sh锟斤拷)u=ωx+φ锟角嗭拷锟絳(di锟斤拷o)锟絝锟絧锟斤拷锟斤拷锟剿時(sh锟斤拷)該锟斤拷锟斤拷(sh锟斤拷)锟侥嗭拷锟絳(di锟斤拷o)锟皆和猴拷锟斤拷(sh锟斤拷)y=sin x锟侥嗭拷锟絳(di锟斤拷o)锟斤拷锟洁反锟斤拷锟酵诧拷锟斤拷锟劫帮拷锟秸猴拷锟斤拷(sh锟斤拷)y=sin x锟侥嗭拷锟絳(di锟斤拷o)锟皆斤拷Q锟斤拷一锟斤拷锟角革拷锟斤拷(j锟斤拷)锟斤拷锟角猴拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷偶锟皆岋拷锟斤拷(n锟斤拷i)锟接猴拷锟斤拷(sh锟斤拷)锟斤拷系锟斤拷(sh锟斤拷)變?y锟斤拷u)锟斤拷锟斤拷?sh锟斤拷)锟斤拷锟劫硷拷锟皆斤拷Q.锟斤拷(du锟斤拷)锟节庯拷锟叫絕锟斤拷(du锟斤拷)值锟斤拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)锟斤拷(y锟斤拷ng)該锟斤拷锟斤拷(j锟斤拷)锟紻锟今，忥拷直锟絕锟斤拷锟組(j锟斤拷n)锟斤拷锟叫旓拷锟斤拷

锟斤拷锟斤拷10锟斤拷锟紻锟斤拷變锟絈锟斤拷锟斤拷锟斤拷詹锟斤拷锟�(zh锟斤拷n)锟斤拷锟絗

锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)y=Asin(ωx+φ)(锟斤拷锟斤拷A>0锟斤拷ω>0锟斤拷x∈R)锟侥圖锟斤拷煽锟斤拷锟斤拷锟斤拷锟斤拷锟侥凤拷锟斤拷锟矫碉拷锟斤拷(1)锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟较碉拷锟斤拷锟斤拷锟絚(di锟斤拷n)锟斤拷锟斤拷(锟斤拷(d锟斤拷ng)φ>0锟絩(sh锟斤拷))锟斤拷锟斤拷锟斤拷(锟斤拷(d锟斤拷ng)φ<0锟絩(sh锟斤拷))平锟斤拷锟狡勶拷(d锟斤拷ng)|φ|锟斤拷(g锟斤拷)锟斤拷位锟絃(zh锟斤拷ng)锟斤拷;(2)锟劫帮拷锟斤拷锟矫革拷锟絚(di锟斤拷n)锟組锟斤拷锟斤拷(bi锟斤拷o)锟絪锟斤拷(锟斤拷(d锟斤拷ng)ω>1锟絩(sh锟斤拷))锟斤拷锟斤拷锟絃(zh锟斤拷ng)(锟斤拷(d锟斤拷ng)0<ω<1锟絩(sh锟斤拷))锟斤拷原锟斤拷(l锟斤拷i)锟斤拷1ω锟斤拷(锟絭锟斤拷锟斤拷(bi锟斤拷o)锟斤拷變);(3)锟劫帮拷锟斤拷锟矫革拷锟絚(di锟斤拷n)锟侥縱锟斤拷锟斤拷(bi锟斤拷o)锟斤拷锟絃(zh锟斤拷ng)(锟斤拷(d锟斤拷ng)A>1锟絩(sh锟斤拷))锟斤拷s锟斤拷锟斤拷