锟斤拷锟斤拷锟斤拷锟叫旓拷(sh锟斤拷)锟絎(xu锟斤拷)锟斤拷锟斤拷锟角革拷一锟斤拷锟斤拷锟斤拷W(xu锟斤拷)锟斤拷锟絴锟斤拷锟叫旓拷(sh锟斤拷)锟絎(xu锟斤拷)锟侥碉拷一锟絋锟斤拷锟絥锟斤拷也锟斤拷锟斤拷锟斤拷锟阶伙拷锟斤拷锟斤拷知锟絉(sh锟斤拷)锟絚(di锟斤拷n)之一锟斤拷锟斤拷锟斤拷锟斤拷小锟斤拷锟斤拷锟斤拷锟侥旓拷(sh锟斤拷)锟絎(xu锟斤拷)锟斤拷锟较�锟斤拷锟街�锟絉(sh锟斤拷)锟絚(di锟斤拷n)锟斤拷請(q锟斤拷ng)锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷

锟斤拷锟斤拷锟斤拷锟統锟絚(di锟斤拷n)锟脚堬拷(ch锟斤拷ng)

锟斤拷锟斤拷(锟斤拷锟斤拷锟斤拷)锟斤拷知锟斤拷锟斤拷A={(x,y)|x2+mx-y+2=0},B={(x,y)|x-y+1=0,锟斤拷0≤x≤2},锟斤拷锟紸∩B≠,锟斤拷(sh锟斤拷)锟斤拷(sh锟斤拷)m锟斤拷取值锟斤拷锟斤拷.

锟斤拷锟斤拷锟斤拷锟斤拷探锟斤拷

锟斤拷锟斤拷[锟斤拷1]锟絆(sh锟斤拷)A={(x,y)|y2-x-1=0},B={(x,y)|4x2+2x-2y+5=0},C={(x,y)|y=kx+b},锟角凤拷锟斤拷锟絢锟斤拷b∈N,使锟斤拷(A∪B)∩C=锟斤拷锟紺锟斤拷锟剿結(ji锟斤拷)論.

锟斤拷锟斤拷锟斤拷锟絵锟斤拷D锟斤拷锟斤拷锟絵锟斤拷要锟斤拷锟介考锟斤拷锟斤拷(du锟斤拷)锟斤拷锟较硷拷锟斤拷锟教�(h锟斤拷o)锟侥凤拷锟斤拷锟紻(zhu锟斤拷n)锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟杰從硷拷锟较凤拷號(h锟斤拷o)锟较分憋拷锟斤拷锟斤拷锟斤拷锟斤拷知锟絉(sh锟斤拷)锟絚(di锟斤拷n)锟斤拷锟組(j锟斤拷n)锟斤拷锟斤拷Q锟斤拷锟絵.锟劫★拷锟斤拷锟斤級(j锟斤拷)锟絵目.

锟斤拷锟斤拷知锟絉(sh锟斤拷)锟斤拷锟叫ｏ拷锟斤拷Q锟斤拷锟絵锟斤拷锟絎锟斤拷锟絚(di锟斤拷n)锟角岋拷锟絣锟斤拷(A∪B)∩C=锟紻(zhu锟斤拷n)锟斤拷锟斤拷A∩C=锟斤拷B∩C=锟斤拷锟紷锟斤拷锟統锟饺就斤拷锟斤拷锟斤拷.

锟斤拷锟斤拷锟絜(cu锟斤拷)锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷}锟統锟絚(di锟斤拷n)锟斤拷锟节匡拷锟斤拷锟斤拷(du锟斤拷)锟斤拷號(h锟斤拷o)锟侥诧拷锟斤拷锟解，锟斤拷(du锟斤拷)锟絵目锟斤拷锟給锟斤拷锟侥條锟斤拷锟斤拷锟斤拷锟絁(r锟斤拷n)锟斤拷锟戒實(sh锟斤拷)锟絴(zh锟斤拷)锟斤拷(n锟斤拷i)锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷芨锟斤拷X锟給锟斤拷锟斤拷锟斤拷.

锟斤拷锟斤拷锟斤拷锟斤拷锟絚锟斤拷锟斤拷锟斤拷锟缴硷拷锟斤拷A锟絚锟斤拷锟斤拷B锟叫的凤拷锟斤拷聯(li锟斤拷n)锟斤拷锟斤拷(g锟斤拷u)锟缴凤拷锟教組锟斤拷锟斤拷锟叫別式锟斤拷(du锟斤拷)锟斤拷锟斤拷锟斤拷r锟組(j锟斤拷n)锟斤拷锟斤拷锟斤拷锟斤拷锟缴得碉拷b锟斤拷k锟侥凤拷锟斤拷锟斤拷锟斤拷锟斤拷b锟斤拷k∈N,锟組(j锟斤拷n)锟斤拷锟缴碉拷值.

锟斤拷锟斤拷锟解：锟斤拷(A∪B)∩C=锟斤拷∴A∩C=锟斤拷B∩C=

锟斤拷锟斤拷锟斤拷∴k2x2+(2bk-1)x+b2-1=0

锟斤拷锟斤拷锟斤拷A∩C=

锟斤拷锟斤拷∴Δ1=(2bk-1)2-4k2(b2-1)<0

锟斤拷锟斤拷∴4k2-4bk+1<0,锟剿诧拷锟斤拷式锟叫解，锟斤拷锟揭�锟絣锟斤拷锟斤拷16b2-16>0,锟斤拷b2>1锟斤拷

锟斤拷锟斤拷锟斤拷

锟斤拷锟斤拷∴4x2+(2-2k)x+(5+2b)=0

锟斤拷锟斤拷锟斤拷B∩C=,∴Δ2=(1-k)2-4(5-2b)<0

锟斤拷锟斤拷∴k2-2k+8b-19<0,锟侥讹拷8b<20,锟斤拷b<2.5锟斤拷

锟斤拷锟斤拷锟缴①②硷拷b∈N,锟斤拷b=2锟斤拷锟斤拷锟斤拷Δ1<0锟斤拷Δ2<0锟組锟缴的诧拷锟斤拷式锟組锟斤拷锟斤拷

锟斤拷锟斤拷∴k=1,锟绞达拷锟斤拷锟斤拷然锟斤拷(sh锟斤拷)k=1,b=2,使锟斤拷(A∪B)∩C=.

锟斤拷锟斤拷[锟斤拷2]锟斤拷50锟斤拷锟絎(xu锟斤拷)锟斤拷锟絳(di锟斤拷o)锟介對(du锟斤拷)A锟斤拷B锟斤拷锟铰硷拷锟侥態(t锟斤拷i)锟斤拷锟斤拷锟斤拷锟斤拷锟铰結(ji锟斤拷)锟斤拷锟斤拷贊锟斤拷A锟斤拷锟剿旓拷(sh锟斤拷)锟斤拷全锟絯锟斤拷锟斤拷锟街�锟斤拷锟斤拷锟斤拷锟斤拷牟锟劫濓拷锟�锟斤拷贊锟斤拷B锟侥憋拷贊锟斤拷A锟侥讹拷3锟斤拷锟斤拷锟斤拷锟斤拷牟锟劫濓拷锟�;锟斤拷锟斤拷锟斤拷锟斤拷(du锟斤拷)A锟斤拷B锟斤拷锟斤拷贊锟缴的學(xu锟斤拷)锟斤拷锟斤拷(sh锟斤拷)锟饺岋拷(du锟斤拷)A锟斤拷B锟斤拷贊锟缴的學(xu锟斤拷)锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷锟斤拷之一锟斤拷1锟斤拷.锟斤拷锟斤拷(du锟斤拷)A锟斤拷B锟斤拷贊锟缴的學(xu锟斤拷)锟斤拷锟酵讹拷锟斤拷贊锟缴的學(xu锟斤拷)锟斤拷锟斤拷锟叫讹拷锟斤拷锟斤拷?

锟斤拷锟斤拷锟斤拷锟絵锟斤拷D锟斤拷锟节硷拷锟较嗭拷锟絵锟斤拷锟斤拷锟斤拷一些锟斤拷锟矫的凤拷锟斤拷锟界數(sh锟斤拷)锟絊锟斤拷取锟斤拷锟斤拷锟斤拷锟斤拷锟絝锟斤拷锟紻锟斤拷锟饺ｏ拷锟斤拷要锟斤拷锟斤拷锟叫岋拷(sh锟斤拷)锟斤拷锟斤拷.锟斤拷锟絵锟斤拷要锟斤拷(qi锟斤拷ng)锟斤拷锟絎(xu锟斤拷)锟斤拷锟斤拷锟紷锟絅锟斤拷锟斤拷.锟劫★拷锟斤拷锛�(j锟斤拷)锟絵目.

锟斤拷锟斤拷知锟絉(sh锟斤拷)锟斤拷锟叫ｏ拷锟斤拷锟斤拷}锟斤拷锟絎锟斤拷锟絚(di锟斤拷n)锟角匡拷锟斤拷锟斤拷锟斤拷锟絵目锟叫的條锟斤拷锟斤拷锟诫到锟斤拷锟絝锟斤拷锟紻直锟絕锟截憋拷示锟斤拷锟斤拷.

锟斤拷锟斤拷锟絜(cu锟斤拷)锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷}锟統锟絚(di锟斤拷n)锟斤拷锟斤拷锟斤拷锟給锟侥旓拷(sh锟斤拷)锟斤拷锟絇(gu锟斤拷n)系锟斤拷锟絕锟絜(cu锟斤拷)锟紺锟斤拷(f锟斤拷)锟絪锟斤拷一锟絩(sh锟斤拷)锟斤拷锟斤拷锟斤拷锟絕锟絯锟斤拷锟斤拷锟斤拷锟揭撅拷锟斤拷.

锟斤拷锟斤拷锟斤拷锟斤拷锟絚锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟絝锟斤拷锟紻锟斤拷锟斤拷锟斤拷乇锟绞撅拷锟斤拷锟斤拷锟�(sh锟斤拷)锟斤拷锟絇(gu锟斤拷n)系锟絞锟斤拷聯(li锟斤拷n)系.

锟斤拷锟斤拷锟解：贊锟斤拷A锟斤拷锟剿旓拷(sh锟斤拷)锟斤拷50×=30锟斤拷贊锟斤拷B锟斤拷锟剿旓拷(sh锟斤拷)锟斤拷30+3=33锟斤拷锟斤拷锟较圖锟斤拷記50锟斤拷锟絎(xu锟斤拷)锟斤拷锟組锟缴的硷拷锟较烇拷U锟斤拷贊锟斤拷锟铰硷拷A锟侥學(xu锟斤拷)锟斤拷全锟絯锟介集锟斤拷A;贊锟斤拷锟铰硷拷B锟侥學(xu锟斤拷)锟斤拷全锟絯锟介集锟斤拷B.

锟斤拷锟斤拷锟絆(sh锟斤拷)锟斤拷(du锟斤拷)锟铰硷拷A锟斤拷B锟斤拷贊锟缴的學(xu锟斤拷)锟斤拷锟剿旓拷(sh锟斤拷)锟斤拷x,锟絫锟斤拷(du锟斤拷)A锟斤拷B锟斤拷锟斤拷贊锟缴的學(xu锟斤拷)锟斤拷锟剿旓拷(sh锟斤拷)锟斤拷+1,贊锟斤拷A锟斤拷锟斤拷贊锟斤拷B锟斤拷锟剿旓拷(sh锟斤拷)锟斤拷30-x锟斤拷贊锟斤拷B锟斤拷锟斤拷贊锟斤拷A锟斤拷锟剿旓拷(sh锟斤拷)锟斤拷33-x.

锟斤拷锟斤拷锟斤拷锟絵锟斤拷(30-x)+(33-x)+x+(+1)=50,锟斤拷锟絰=21.

锟斤拷锟斤拷锟斤拷锟皆岋拷(du锟斤拷)A锟斤拷B锟斤拷贊锟缴碉拷同锟絎(xu锟斤拷)锟斤拷21锟斤拷锟斤拷锟斤拷锟斤拷贊锟缴碉拷锟斤拷8锟斤拷.

锟斤拷锟斤拷锟斤拷锟絓锟斤拷锟斤拷計(j锟斤拷)

锟斤拷锟斤拷1.锟斤拷鸺�合嗭拷锟絵锟斤拷锟斤拷锟斤拷要锟斤拷锟絖锟斤拷锟解集锟斤拷锟斤拷锟絇(gu锟斤拷n)锟斤拷锟筋，锟截別锟角硷拷锟斤拷锟斤拷元锟截碉拷锟斤拷要锟斤拷;锟斤拷(du锟斤拷)锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟給锟斤拷锟侥硷拷锟斤拷{x|x∈P},要锟給锟給抓住锟絈锟斤拷前锟斤拷拇锟斤拷锟皆�锟斤拷x锟皆硷拷锟斤拷锟斤拷锟斤拷锟叫碉拷锟斤拷锟絴(zh锟斤拷)P;要锟斤拷視锟絣(f锟斤拷)锟絔锟紻示锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷通锟絕锟斤拷(sh锟斤拷)锟轿結(ji锟斤拷)锟斤拷直锟絕锟截斤拷Q锟斤拷锟絵.

锟斤拷锟斤拷2.注锟斤拷占锟斤拷锟斤拷锟斤拷锟斤拷裕锟斤拷诮锟斤拷}锟斤拷锟斤拷锟斤拷未锟斤拷指锟斤拷锟斤拷锟较非空時(sh锟斤拷)锟斤拷要锟斤拷锟絔锟斤拷锟秸硷拷锟侥匡拷锟斤拷锟斤拷锟斤拷锟斤拷AB,锟絫锟斤拷A=锟斤拷A≠锟缴種锟斤拷锟斤拷锟斤拷锟剿時(sh锟斤拷)锟斤拷(y锟斤拷ng)锟斤拷锟接懻�.

锟斤拷锟絇(gu锟斤拷n)锟斤拷锟絔锟斤拷

锟斤拷锟斤拷锟竭匡拷锟斤拷(sh锟斤拷)锟絎(xu锟斤拷)知锟絉(sh锟斤拷)锟絚(di锟斤拷n)锟絉锟斤拷

锟斤拷锟铰高匡拷锟結訊锟斤拷锟竭匡拷锟斤拷锟斤拷锟斤拷锟斤拷前锟斤拷(zh锟斤拷n)锟斤拷锟斤拷志愿锟斤拷锟�(b锟斤拷o)锟斤拷锟饺★拷锟�?j锟斤拷n)?sh锟斤拷)锟斤拷锟斤拷

锟竭匡拷锟絩(sh锟斤拷)锟絞锟斤拷锟斤拷全锟斤拷锟斤拷要锟斤拷(ji锟斤拷)锟絚(di锟斤拷n)

锟組锟斤拷"锟竭匡拷锟絎(w锟斤拷ng)"微锟脚癸拷锟斤拷號(h锟斤拷o)