2021年全国高考甲卷数学(理)试题(解析版)

《2021年全国高考甲卷数学(理)试题(解析版)》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

ਭᵨ2021
᪥ᐰὃᳮᦪ⚗1.ᔁὃḄஹὃᑏᙠ⚪ᓱ#.2.$⌱&⚪'⌱()*⚪ᫀ,ᵨ-./⚪ᓱ#01⚪2Ḅᫀ᪗45.᝞◤ᦋ9ᵨ:;<=,>⌱4ᐸ@ᫀ᪗$A⌱&⚪'ᫀᑏᙠ⚪ᓱ#ᑏᙠBCᔁ#Dᦔ.3.ὃCFG,BCᔁH⚪ᓱIJK$.Iஹ⌱&⚪B⚪ᐳ12*⚪)*⚪5ᑖᐳ60ᑖ.ᙠ)*⚪N(ḄOP⌱⚗QRᨵI⚗TUᔠ⚪2⌕XḄ.1.ᔠA/={x[0,ᑣMC|N=()A.C.|x|4<%<5|D,{x[0ᙢ@᩟BCDE*FGᙢ@ᡝIJᦈᐭMNO᪵Q&*R@ᡝIJᦈᐭḄQ&ᦪS᦮ᳮUO2.53.54.55.56.5738.59.510.511.512613.514.5ᦈᐭ.[ᐗ

1᪷SW⚣᳛ᑖ[\]^*_☢ab/2cdḄe()A.Gᙢ@ᡝIJᦈᐭij4.5mᐗḄ@ᡝo᳛pq6%B.Gᙢ@ᡝIJᦈᐭ2ij10.5mᐗḄ@ᡝo᳛pq10%C.pqGᙢ@ᡝIJᦈᐭḄxᙳz2{|6.5mᐗD.pqGᙢᨵḄ@ᡝ*ᐸIJᦈᐭj4.5mᐗ8.5mᐗூᑖ᪆௃᪷S\]^Ḅ\q)ᑁḄ⚣᳛*ᓽ;ᑨABD,ᔜḄ/z⊤Ḅ⚣᳛*ᯠ1ᓽUᑮ᪵$ḄxᙳᦪḄpqz*exᙳzḄpqz*q)ᓽ;ᑨC.ூ௃⚣᳛\]^/Ḅ¡1,ᡠᔜḄ\]^Ḅ¢j⚣᳛.᪵$⚣᳛\]^/Ḅ⚣᳛ᓽ;Ḅo᳛Ḅpqz.Gᙢ@ᡝIJᦈᐭij4.5mᐗḄ@ᡝḄo᳛pqz0.02+0.04=0.06=6%,ᦑAcd§Gᙢ@ᡝIJᦈᐭ2ij10.5mᐗḄ@ᡝo᳛pqz0.04+0.02x3=0.10=10%,ᦑBcd§Gᙢ@ᡝIJᦈᐭj4.5mᐗ8.5mᐗḄoªpqz0.1()+0.14+0.20x2=0.64=64%>5()%,ᦑDcd§Gᙢ@ᡝIJᦈᐭḄxᙳzḄpqz3x0.024-4x0.04+5x0.104-6x0.14+7x0.20+8x0.20+9x0.10+10x0.10+11x0.04+12x0.02+13x0.02+14x0.02=7.68(7770),{|6.5mᐗ*ᦑC┯.®*¯°ab/2cdḄeC.ᦑ⌱!C.ூ"#௃$⚪ὃ&ᑭᵨ᪵$⚣᳛\]^pq⚣᳛xᙳz*+,Ạ⚪*᪵$Ḅ⚣᳛;Ḅ⚣᳛Ḅpqz*᪵$ḄxᙳzḄpqzeᔜḄ/zᐸ⚣᳛ᯠ1ᡠUz*;Ḅxᙳ⚣᳛*zḄpqz.³ᔜḄ⚣᳛j´X¡.¡3.¶·(l—i)2z=3+2i,ᑣ2=()3333A.-1——iB.-1+—zC.----FzD.----i2222ூᑖ᪆௃ᵫ¶·Uz=^—᪷S¿ᦪ◀Á()Áᑣ*ᓽ;1.-2zூ௃(1-/)2Z=-2ZZ=3+2Z,Z=^^=(3+2])”=+ᦑ⌱:B-21-2i-i224.☘ÆÇÈeÉÊ
Ëᐵ³ḄÍ⚪*ÇÈDE;ÎÏÇÈ⊤ÐÑ.ÒᵨÓᑖÔÕÁÖᦪÔÕÁÔÕÇÈᦪS*ÓᑖÔÕÁḄᦪSLÖᦪÔÕ⊤ḄᦪSVḄÙÚL=5+lgV.¶·>ÜÇÈḄÓᑖÔÕÁḄᦪS4.9,ᑣᐸÇÈḄÖᦪÔÕÁḄᦪS()(Þ=1.259)

2A.1.5B.1.2C.0.8D.0.6ᑖ᪆௃᪷SßVᐵà*áL=4.9â*1°IgV,ãᵨᢣᦪ⊤åV,ᓽ;1.-11ூ௃ᵫL=5+lgV,áL=4.9â*lgV=-0.l,ᑣV=1(T°æ=1010=»ߟߟ»0.8ç1.259ᦑ⌱!C.5.¶·ὡ,éeêëìCḄíîᯖ"*PC"*ð/ò஺6=60஺,ôὡ|=3ô6|,ᑣCḄö÷᳛()A.—B.—C.D.V1322ூᑖ᪆௃᪷SêëìḄøᩩú*⊤å°|P4|,|û|,aᔠüýᳮ;Uþᫀ.ூ௃|ὡ|=3ᵨ,ᵫḄ|Pὡ|%|=2||=2஺ᡠ=4,|ὡ|=3a!/ὡ#=60஺,ᵫ$%ᳮ4c2=9/+/—2x3a-a.cos60°᦮ᳮ4c2=7஻ᡠe2=,ᓽe=.ᦑ⌱,Aa242ூ-.௃ᐵ0-.,Ḅ1ᐭ3-ᑭᵨ$%ᳮ56஺7Ḅ89ᐵ:1;Ḅᐵ0.6.ᙠ=>?@ABC⚔-AḄEᩩGḄB-ᑖIJF,G.K?@ALMEG┵A-EFGOᡠP☢AḄERSB?RS᝞SᡠUᑣWXḄYRS1()ூᑖ᪆௃᪷^⚪`a⚪bᡠcḄ?RSdefghAḄijSkᔠijSmnᑨp.ூ௃ᵫ⚪`a?RSghAḄijS᝞SᡠU

37.8qᦪᑡ4
Ḅtqq,u”⚗xS“yᵬ,q>0,#,S,,
1⌴|ᦪᑡᑣ}~A.ᵬ1#Ḅᐙᑖᩩ1⌕ᩩB.ᵬ1#Ḅ⌕ᩩ1ᐙᑖᩩC.ᵬ1#Ḅᐙ⌕ᩩD.ᵬ1#Ḅᐙᑖᩩ1#Ḅ⌕ᩩூᑖ᪆௃4>0Cᵬ1#Ḅᐙᑖᩩ!"1⌴|ᦪᑡᨵᡂ6ᓽ4>0ᡂ6ᑣᵬ1#Ḅ⌕ᩩᓽ⌱fᫀ.ூ௃ᵫ⚪ᦪᑡ-2,-4,—8,…q>0,1S,
1⌴|ᦪᑡᡠᵬ1#Ḅᐙᑖᩩ."1⌴|ᦪᑡᑣᨵ>0ᡂ6q>0ᡂ6ᑣf=?=Ḅ1Ḅᑣᡂ6ᡠᵬ1#Ḅ⌕ᩩ.ᦑ⌱,B.ூ-.௃ᙠᡂ6Ḅ¡ᡃ£C1ᙠᡂ6Ḅ¡ᡃ£¤⌕c¥ᐸ§C¨.8.2020©12ᨴ8«B¬x®¯ὶᔠt±²³ᨽµ¶ᨬ¸¹¨8848.86ᓫ»,m,E¼¹¨½9¾1²¶¹¨½9@¾¿=.᝞S1E¼¹¨½9¾Ḅ=>U`SᨵA,B,CE-À4B,CᙠÁ=ÂÃ☢ÄḄᢗÆA',B',CZACB'=45°,NA'3'C'=60஺.ᵫC-½8-ḄǼ15°,BB'ÈCCḄÉ100!ᵫB-½A-ḄǼ45°,ᑣA,CÊ-ᑮÂÃ☢A'8'C'Ḅ¹ÌÉAA—CCÍ}V3®1.732~}~CC'A.346B.373C.446D.473

4ூᑖ᪆௃CÎÏÐÑÒÓᡠ;9Ôᓄᑮ=>E¼ÖB×Ð?%ᳮ;A'3'mÛᑮᫀ.C஺ÜCH_L3B',C8ÜBD_LA4'ᦑAV-CC=AA'-(BB-B")=44çè'+100=AD+100,ᵫ⚪᧕ÓíAD38Ὺi¼E¼ÖᡠAD=DB.ᡠA4'—CC'=100=A'3'+100.NBCH=15°,ᡠ=tanl50ᙠíA'3'CBᵫ?%ᳮ,A'B'_C'B'_100_100sin45°ߟsin75°.tan15°cos15°.sin15°/7_/yÛsin15஺=sin(45°-30°)=sin45°cos30°-cos45°sin30°=-—6100x4xᡠA®2=100(6+1)2273V6-V2ᡠA4'—CC'=A'5'+100373.ᦑ⌱B.ூ௃⚪ᐵᙠ"᝞$%&'A4'-CC'Ḅ*+,-./01Ḅ234ᓄ64B'+100.(\8cosa,9.?஺A0,B|/2112&=——B——Hi]tana=()7:;<2)2-smaANnV15A.--------D.L-.--------U.---------15533ூᑖ᪆௃ᵫSTUV3WXtan2஺=YZ=[\[]^_ᔠabWcXsina=L,ᑭᵨgUhcos2al-2sina4UjᦪḄlᐵmᓽWco.

5cosaூpo௃•••tan2a2—sina-sin2a2sinacosacosa.•.tan2a=------=---------——=-------cos2crl-2sin~a2-sina(
tஹv2sina1/Tiza.1,/(2G0,—,z.cosawO,------1—=-------,oXsina=8,I2Jl-2sin2a2-sincr4r.-—V15sinaV15~.cosa=Vl-sura=---,/.tana=-----=----•ᦑ⌱A.4cosa15ூ௃ᐵ⚪ὃhUjᦪḄᓄ⚪o⚪ḄᐵᑭᵨSTUV3ᓄcsina.10.'4120᣸ᡂ8ᑣ20tḄᭆ᳛6()12-24A.-B.-C.-D.83535ூᑖ᪆௃ᵨ[415[ᑖ2020tco.ூpo௃'4120᣸ᡂ8Wᑭᵨ[415[?20ᑣᨵCB=5in2᣸?20tᑣᨵ=1()᣸ᡠ20tḄᭆ᳛6‘8=—.ᦑ⌱C.5+10311.᝞A,B,C61ḄᳫOḄᳫ☢¡Ḅh¢AC,8GAe=BC=1,ᑣh¥┵0-A8CḄ§¨6()A©Rªz«DªA.D.\-J.121244ூᑖ᪆௃ᵫ⚪WXAABC6¬Ὺ®UhU¯XAABC᜜±ᙊḄᑣWcX஺ᑮ´☢A8CḄµ¶·cX§¨.ூpo௃•••AC8C,AC=BC=1,.•.¸A8C6¬Ὺ®UhU¯.•.AB=¹ᑣ¸A8C᜜±ᙊḄ6º»ᳫḄ61,¼0ᑮ´☢ABCḄµ¶6஺2ᑣd=J-'ᡠ¿-A8c=5448(<"=9B*1Ã1Ã4=Ä,ᦑ⌱A.1ஹJJJÅ1ூ௃ᐵ⚪ὃᳫᑁÇ$§⚪o⚪Ḅᐵ%&ᑭᵨÈ☢ᙊஹᳫஹᳫÉᑮÈ☢µ¶ḄÊËᐵmco.12.¼jᦪ“X)ḄÎÏÐ6R,/(x+l)6᜻jᦪ/(x+2)6ᏔjᦪÕxe[l,2]×/6)=Ø+஻.?/(0)+/ব=6,ᑣ/&]=()

6ூᑖ᪆௃,-/(%+1)᜻jᦪ/(x+2)ᏔjᦪᩩÝW&Îjᦪo᪆3/(%)=-2%2+2,·ᑭᵨÎÏᡈᕜàឋ_âᓽWXᑮãᫀ.ூpo௃å6/(æ+1)᜻jᦪᡠ/(8%+ç=8/ᓝ%+çজBå6/(x+2)Ꮤjᦪᡠ“x+2)=/(-x+2)ঝ.ë¿=1,ᵫজX:/(0)=—/(2)=—(4"+ìᵫঝX:f(3)=f(])=a+b,å6/(0)+/(3)=6,ᡠ8(4a+Z?)+a+Z?=6=a=-2,ëx=0,ᵫজX/஺)=8/(1)=/(1)=0=ᓃ=2,ᡠ/(x)=_2f+2.òó8ôÎÏᐭö.ᡠ/òóSôᕜàឋᐭöᵫ÷øùឋWbjᦪ/(x)ḄᕜàT=4.ᦑ⌱D.ூ௃ᙠoújᦪឋûü⚪Ḅ×᎛ᡃÿ
ᐸᕜឋᑮḄᦔ.ஹ!⚪#$⚪ᐳ4&⚪'&⚪5ᑖᐳ20ᑖ.2r-113../y=----ᙠ4(-1,-3)ᜐḄᑗ/:;

7ூᑖ᪆௃ᐜFG4ᙠ./HIJKᐭᑗ/:;MNᓽ.ூPQ௃ᵫ⚪ST=—1UV=-3,ᦑ4ᙠ./H.,2Xx+2Y-X2x-l5JZ#y-^-2—[ᡠY'1=5.ᦑᑗ/:;<5x-y+2=0.x+2Yx+2Yᦑ@ᫀ<#5x—y+2=0.14.]^ᔣ`a=X3,l,B=l,0Y,c=a+^B.aᑣ4=____.ூᑖ᪆௃ᑭᵨᔣ`Ḅᙶ᪗ghᑣZᔣ`FḄᙶ᪗ᑭᵨᔣ`Ḅᦪ`j

8»᦮ᦪᡈFGᦪmZ.313ᐔ713it2TCூPQ௃ᵫ±^¿T=*-^=ÀᓽT=,=Áᡠ஺=2Â41234coᑍᑍÁᵫÃ4hZ2x7+0=ᓽ0=—•—Â/-ᡠf(x)=2cos2x----ᡠᵫ(/(x)-/(-y)X/U)f(5))>஺Zf(x)>1ᡈ/(%)<0ª

9ÑஹQ@⚪#ᐳ70ᑖ.Q@ÆᑏÓÔÕÖஹGÖ×;ᡈØÙÚÛ1721⚪<ὃ⚪,'qÜ⚪ὃÝÞßà@.Û22ஹ23⚪<⌱ὃ⚪ὃÝ᪷⌕à@.XYὃ⚪#ᐳ60ᑖ.17.ᵬஹäåæçÝèéêèëèëᢥí`ᑖ<ëîë<ïðñåæçèëḄí`ᑖòᵨåæçᔜÝèï200zèëèëḄí`õö÷᝞ø⊤#ëëᔠᵬæç15050200äæç12080200ᔠ270130400X1YᵬæçஹäæçÝèḄèëúëḄ⚣᳛ᑖòýþ®X2Yÿᔲᨵ99%ḄᵬḄḄᨵ?n(ad-bc)2(a+b)(c+d)(a+c)(/7+d)P(K2>k)0.0500.0100.001k3.8416.63510.828ூᫀ௃175%60%2#.ூ%᪆௃ூᑖ᪆௃(⚪ὃ+⚣᳛./012ឋ45678Ạ⚪6᪷;<=>?/@ᓽBூC%௃1ᵬDḄEḄFGḄ⚣᳛H=75%,120DḄEḄFGḄ⚣᳛——=60%.200ஹ2ফ400(150x80-120x50)400==>1Q>270x130x200x20039ᦑ#ᨵ99%ḄᵬḄḄᨵ.18.XYᦪᑡ\4]Ḅᔜ⚗ᙳaᦪ6bS”\4]Ḅe஻⚗06gh☢জঝঞE⌱nopqᩩs6tuv᜜Fpᡂ2.

10জᦪᑡ\4]yzᦪᑡ{ঝᦪᑡ\|]yzᦪᑡঞ4=3%.}{~⌱Ḅᔠᑖ%6ᑣᢥFp%/ᑖ.ூᑖ᪆௃⌱জঝqᩩstuঞ6B=|6ᔠa”,S”Ḅᐵ=6ᑭᵨ\%]yzᦪᑡBt4=⌱জঞqᩩstuঝ6᪷;zᦪᑡḄ0>?⊤=6ᔠzᦪᑡBt⌱ঝঞqᩩstuজ6=E=a஻+ᓃ6ᔠa,,,S,,Ḅᐵ=a.6᪷;a2=3%Bᓃ6ᯠBt\஺”]yzᦪᑡ.ூC%௃⌱জঝqᩩstuঞ{#=a“+h(a>0)6ᑣS“=(an+hy,஻=1664=S[=(a+Z?)2஻226a-S—5,,..=(an+/?)2-(an-a+b)2=a(2an-a+2h^■nn£\q]¥yzᦪᑡ6ᡠ§(஻+¨=4(2஺—a+28),%©஺=0ᡠ§4=/ᡠ§4=34.⌱জঞqᩩstuঝ{£4=3q,\ª]yzᦪᑡ6ᡠ§>d=g=26ᡠ§S“=na+—d=,ᓽ⎅7=yfa^n,y5:78=᝞("+1)7⊈⚣=M-ᡠ§\¯]yzᦪᑡ.⌱ঝঞqᩩstuজ{=an+b(a>0),ᑣS”-(an+b^,஻=1.6a=S=(6Z+/?)2??ᨴ226a=S-S_=(Q஻+Z?)2F(஽஻_஻+஻)2=Q(2a஻-a+2Z?)nnn}

11£4=3%,ᡠ§a3a+2b=3a+4,%©´=ᡈ஺=F¶b=064=஺2,4=஺22஻_1,஻226-4·=2/¸¹zᦪᑡḄ6º\4]zᦪᑡᓃ=-/■6=an+b=an-^a,6^"=F¾0ᔠ⚪¿6ÀÁ.ÂÃBY\/]zᦪᑡ.ூÄÅ௃ÆÇ⚪Èᙠ%⚪EÊËÌ6%ḄᐵÍyᱞᱞᢕÐXYᩩs6ᔠÑᐵ>?6⌲ÓÔÕ6zᦪᑡḄtuÖ×ØᵨÙᡈὅzE⚗Ù.19.XYÛÜÝÞABC-4E6â☢aãä6AB=BC^2,E,Fᑖ4c0CCḄEÄ6஺Ý4ᨴÃḄÄ.BFLA^1tu{BFDE2஺çè6☢83CC☢8EᡠᡂḄé☢êḄaëèᨬíîூᫀ௃1Ì%᪆2BQ=12ூ%᪆௃ூᑖ᪆௃ÖïXYᩩs6ðÜᩩñÑᚖÛḄÛó6ô2ᔠ〉Ḅö÷Ûêᙶ᪗6úûö÷ᔣtuóóᚖÛ0=é☢êḄý☢êḄþëèᨬᜧ
ᫀ.ூ௃ABC-A4Gᡠ8J■!☢ABC,ᡠA4஻A8BFIA^,ᡠBB]CBF=B,ᡠAB_L(☢BCC4.ᡠBA,BC,))ᚖ.

12Bᙶ᪗-.ᑖ0BA,8C,84ᡠᙠ2x,y,z345678ᙶ᪗9᝞;.ᡠ30,0,0<,42,0,0<,C=0,2,0,4=0,0,2<,4=2,0,2<,G=0,2,2<,E=l,l,0<,F=0,2,l.ᵫ⚪@஺a,0,2<0<«<2.1▟==0,2,1,ᡂ=1Da,1—2<,ᡠᓭ•G=0xl—a+2xl+lx-2=0,ᡠ@(☢DEEḄJᔣLM=x,y,zN==D1,1,1,Og=l—஺,1,D2<,-EF=0f—x+y+z=஺ᡠ_DᓽQஹc_.n[m-DE=0^l-6/x+y-2z=0Uz=2-a,ᑣW==3X+a,2-a(☢8CCMḄJᔣLZ==2,0,0<,@(☢BCC^[(☢DEFḄ\☢8Ḅ(☢86,l/n-BAI£3ᑣ|cos0\=|-|=------f==I_.2xj2/_2a+142/_2a+14127]஺=—_2/—2஺+4`ᨬbc_^_22

133_76e_cos஺`ᨬᜧc^27~3•e_2ூ.h௃i⚪ὃk67ᔣLḄlᐵnopq᪷s⚪t@஺=஺,0,2<=0<«<2<,ᙠx\yz{|}~cᨬᜧᑮ~cᨬbᐵD.20.ᱥ2CḄ⚔.ᙶ᪗-.0.ᯖ.ᙠx32/x=lCP,஺).OPLOQ..M=2,0<,0M[/lᑗ.=1O<,P=l,>o<,Q=l,-yo<,•.OP±OQ,:.OPOQ^l-yl=l-2p^O,:.2p^l,ᡠᱥ2஺ḄNV=x,M=0,2<,OM[Ì=1lᑗᡠ¸¹1ᡠO”ḄN=x—2<2+V1

14=2<@4=X|Ø<,¾2=஽Ú<A=%3,<Ã44¿᳛ÁÂᙠᑣNx=iᡈÜ=3,Ã44NÌ=1,᪷s´µឋÁÝ@4=1,1<,ᑣ|4[ᙊMlᑗḄÞDᩩ2Ny=1,e_à2[ᱥ2áᨵD.ᓽÁÂᙠ4,Áᔠ⚪t;Ã44Nx=3,᪷s´µឋÁÝ@A=3,G<,&=3,—6<,ᑣ|4[ᙊMlᑗḄ2AA3y—6=X—3<yD%=1.1\æBkA4%-WY+%6+%3é=o,A=O,O<,e_2AA4A3ᐵx3´µ,ᡠ244[ᙊ/lᑗ;Ã244,a$,A?A,¿᳛ᙳÂᙠ,111ᑣL=í᝕¾¾--&ߟ_M%%-%+Ø1/ஹᡠ244Ny—y=-----=%-᳝<,Ú+%᦮ᳮ¬x—=y+<ò+Øò2=°ôᳮ24AḄNÌ—=Ø+%<<+Ø%=°244ḄNx-=Ø+<õ'+Ø=o|2+y%l1•••44[ᙊMlᑗ•/,/=1i+=x+%<᦮ᳮ¬=/-1<^2++3-ᶭ=oAA,[ᙊ“lᑗôᳮ=y-1

15Mᑮ24A3ḄÏÐ12+3~~ØI,12+y2y31_____y_]_IH_y+1_jJl+(%+%)2J]](:”J(y-1)2+4yy+]ᡠᙊMᑗA4AAᙊMᑗᑣ44ᙊMᑗ.ூ$%௃ᐵ($$%)(1)*+ᱥḄ.$/᳛1◤ᵨᐸ5ᙶ᪗(ᡈ9ᙶ᪗)⊤;<=⚪?ᓄA15ᙶ᪗(ᡈ9ᙶ᪗)ᨵᐵ(2)⌕ᐙᑖᑭᵨA&AAḄHIឋKLM%+%%♦%,ᐵOP%QḄᐵO?ᓄAᵨR⊤;.21.STa>0Xa/1,Zᦪ/(x)==(x>0).ax(1)^a=2_`஻x)Ḅᓫcde;(2)gy=/(x)y=lᨵXhᨵ.ij$`஺Ḅlmo.ூpᫀ௃(1)(0,rᓫc⌴tu,+81ᓫc⌴w(2)(l,e)u(e,T8).Iln2J\_m2)ூ}᪆௃ூᑖ᪆௃(1)`ZᦪḄZᦪᑭᵨZᦪḄZᦪḄᓫcឋḄᐵOᓽᑮZᦪḄᓫcឋ(2)ᑭᵨᢣᦪHᦪḄᑣ=g(x)y=-Lᨵ.ij$ᑭᵨZᦪẆg(x)Ḅᓫcឋᔠg(x)Ḅ$᩽▲mᑖ᪆g(x)ḄLᑮ0<<),¡¢£¤¥00,^x>----_,/,(x)<0,In2In2In2Zᦪ/(x)ᙠ|o,¹ᓫc⌴t2,+s]ᓫc⌴w

16(2)f(x)=—=l<^>ax=xa<=>»1஺4=஺1஺¼=^^=^^,½Zᦪ8(»)=^^,axxax¾iJg'(x)=^?^³g'(x)=Ox=«,xᙠ(Oe)ᑁg'(x)>O,g(x)ᓫc⌴tᙠ(e,+oo)g'(x)=g(x)>=ᯅᨵ.ij$ḄᐙᑖÊ⌕ᩩÌ¥0<<(£ᓽ¥005஺,>=25B஺CᐭEF$

172
GHx,y
,GMIJ+ᖾcos6,Jsin஺L᪷NᔣPᐵRᓽETFPḄ&C1ḄᦪTUVᙊᙊXYZ[\]^_`EF.ூa-௃I1
ᵫ12CḄ᩽ᙶ᪗᜛=20cos஺EF᜛2=2Jpcos6,0<=2>05஺,>=᜛5U஺CᐭEFc2+y2=2dX,ᓽIX—&J+y2=2,ᓽ12CḄefᙶ᪗'x—J5y+y2=2$2
GPIx,y
,GMIJ+V^cos஺,•••AP=sf2AM<x-1,y
=V241+V2cos6-1,0sin6L=I2+2cos6-V2,2sin6L,x—1=2+2cos0—\p2x=3—\/2+2cos0ᑣhᓽhy=2sin0y=2sin஺ix=3—yf2+2cos0ᦑHḄ&CiḄᦪ'kI஺'ᦪLy=2sin6•••12CḄᙊX'J5,0L,[\'ஹn12GḄᙊX'I3-p,0L[\'2,ᑣᙊXY'3-20••3_20<2_J5qVᙊᑁsᦑ12CG,ᨵᐳ.ூt௃ᐵut>v⚪ὃyᦪḄT--⚪ḄᐵuGUMḄᦪᙶ᪗ᑭᵨᔣPᐵRT-.|⌱~4-5⌱10ᑖL23.ᦪ/I%L=_2|8I%
=|2%+3|_|2_1|.

18(i)Uy=/(x)Zy=g(x)Ḅ$(2)/(x+a)ig(x),T”Ḅ.ூᫀ௃(1)-᪆$(2)a>—2ூ-᪆௃ூᑖ᪆௃(1)ᑖᓽEU$(2)᪷NᦪᦪZEF◤0y=/(x)ᔣE¡fTFy=/(x+a)¢£a127ḄET.,τf2-x,x<2ூa-௃(1)EF/(x)=X-2=ccU᝞¥>[x-2,x>2

19(2)f(x+a)=|x+a—2\,᝞ᙠ¡§¨ᙶ᪗R©U/(x),g(x)y=/(x+a)y=f(x)ª¡¨ᓫ¬Fᑮᑣ⌕¯/(x+a)Ng(x)◤0y=/(x)ᔣᓽ஺°(),£|'+a—2|=4,-F஺=Uᡈ§3(³),±y=/(x+a)¢222ூt௃ᐵut>v⚪ὃyḄឤᡂ¶·⚪-⚪Ḅᐵu᪷NᦪᦪᔠT-.