浙江省杭州市2022-2023学年中考数学专项提升仿真模拟试题（二模三模）含解析

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ḕ2022-2023ὃᦪ⚗ᓣ⚪abc°.⌱°⌱4ᐳ10!⚪àᑖ21ᑖ@1.áᑡãÆᦪUä᦮ᦪB4@A.-2B.-1C.0D.1ூäçGᫀ௃DூêF௃ë⚪ᑖ᪆N°2ஹ°1Bì᦮ᦪµ0B᦮ᦪíÚᨵBä᦮ᦪîÚᨵBì᦮ᦪµ1Bä᦮ᦪ.ᦑ⌱D.2.áᑡᦪðñòUóôÈlPuḄB4@ஹB.SC.jD._|_ூäçGᫀ௃BூêF௃ᑖ᪆N᪷öÈlPuḄLM“V°ÆPuXḼøÆY]^180°,᝞ù]^ḄPuúPuûᔠ”ýFGᓽÿ.ᢣḼ180஺᝞ḄᔠḄᨵB⌱⚗"ᔠ⚪$ᦑ&⚪⌱B.'&⚪ὃ)Ḅ*Ḅ+,-./ᓫ⚪1.⚪Ḅᐵ3*45Ḅ+,.3.ᡃ789:Ḅ7;ᜧ;=>?@A:BC⁚Eᵨ:.GHIJKᨵLḄ:MᜮOPQRST2S:OS:E0.05Uᓣ.WOᜩᵨ:YZᢥ2\Y]^_`aḄb᜜22\Y:MᜮdᙠKᨵfḄS:.g]^JKᨵLḄ:Mᜮᨴiᢥ30ᜩ]^jkl:ijA.23760UᓣB.2.376X1
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392xO,O5x(22x60x60)x30=0.1x79200x30=2.376x105Uᓣ.ᦑ⌱B.'ᵨvw5ᦪy⊤{ᦪḄy(1)p+aaᨵ᦮ᦪḄᦪ(2)p+nᦪḄ0Y•n}o᦮ᦪn.ᦪḄ᦮ᦪᦪ1,ᦪḄ1Y;n}᦮ᦪnḄ.ᦪaᦪḄᦪ(¡᦮ᦪᦪ).4.᝞ᙠAABCaAB=AC,AD£ᑖNBAC,DE1AB,DF1AC,EஹF}ᚖ§ᑣTᑡª«¬(1)ZDEF=ZDFE(2)AE=AF(3)AD£ᑖNEDF(4)EFᚖ£ᑖAD.ᐸaopḄᨵ()ூopqᫀ௃Cூ௃I⚪ᑖ᪆VAB=AC,AD£ᑖNBAC,DE1AB,DF1AC.♦.¯ABCῪ±²AD±BC,BD=CD,ZBED=ZDFC=90°.DE=DF/.ADᚖ£ᑖEF(4)┯´µADᡠᙠ·4ABCḄ¸¹(1)ZDEF=ZDFE(2)AE=AF(3)AD£ᑖNEDF.ᦑ⌱C.ὃ1.Ὺ±²Ḅᑨ+ឋ¼2.·½ᚖ£ᑖ·Ḅឋ¼.5.W5ஹ=125131=9"ᑣx¿z.(♦♦)A.123B.321C.136D.621ூopqᫀ௃Dூ௃V5X=ম)y=53y,3Á=(32)z=32z,>*.x=3y,y=2z,ᓽx=3y=6z40⚓/60⚓

40Ãᓃᑣy=2k,x=6k(kKO)•*.xyz=6k2kk=621.ᦑ⌱D.6.TᑡÅpḄ()A.“ÇᜩÈÉḄᭆ᳛60%”⊤{Çᜩᨵ60%ḄYZdᙠÈÉB“ÌÍÎÏo☢ÑḄᭆ᳛}50%”⊤{OÌ2Ò*ᨵo☢ÑC.”aᝄḄᭆ᳛}1%”⊤{Õ100Ö×+RaᝄD.“ÌÍoØÙÚÑḄᦪ}2Ḅᭆ᳛}⊤{ÛḼÌÜÒᦪḄÝ?“ÌÞÑ6Ḅᦪ}2”ßàáḄᭆ᳛â+ᙠã▬å6ூopqᫀ௃Dூᑖ᪆௃᪷Gᭆ᳛ᢣçèàáḄéêឋ}ÛḼIëÒᦪḄÝ?â+ᙠì+ᦪ▬åéqᫀ.ூ௃A.“ÇᜩÈÉḄᭆ᳛60%”⊤{ÇᜩTÉḄéêឋíᜧᦑ/Kᨵ"ᔠ⚪$B.“ÌÍÎÏo☢ÑḄᭆ᳛}⊤{OÒÌo☢ÑḄᭆ᳛dᦑ3Kᨵ"ᔠ⚪$C.“aᝄḄᭆ᳛}1%”⊤{Õ100Öᨵéêaᝄ.ᦑCKᨵ"ᔠ⚪$D.”ÌÍoØÙÚÑḄᦪ}2Ḅᭆ᳛}⊤{ÛḼÌÜÒᦪḄÝ?“ÌÞÑḄᦪ6}2”ßàáḄᭆ᳛â+ᙠ9▬åᦑ஺"ᔠ⚪$6ᦑ⌱D&⚪ὃ)ᭆ᳛Ḅ$,opᳮᭆ᳛Ḅ¡,ï&⚪Ḅᐵ3.7.᝞oØðñḄòóWᙠᐸa±oA,B,Caᑖôõᐭ〉ḄᦪøùúᢚᡂoØḄ☢üᦪý}þᦪᑣõᐭoA,B,CaḄ±ᦪÿ
41⚓/60⚓

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1,-3,0.ᦑ⌱A.8.᝞7#AB
஺஺Ḅ9:#;Cᙠᙊᕜ#?@BCஹOC,B;ACAD/7OCD஺OE;D,FNB=25஺#ᑣNBADḄGᦪ
HA.25°B.30°C.40°D.50°ூᫀ௃Dூ௃I⚪᪆((OB=OC,.*.ZB=ZC,VZB=25°,/.NC=25஺#VZAOC=2ZB,.,.ZAOC=50°,(AD஻OC,.*.ZBAD=ZAOC=50°,ᦑ⌱D.ὃ;(1.ᙊᕜMNᳮ&2.PQRḄឋT.9.᝞7ᡠV#ᔣXY:!RஹZ[!\Ḅᳫ0Zᘤᑁ`a#ᑣbc"᧜ZᘤᑁaḄ[V%ZᘤᑁaexfḄgᦪᐵiḄ7jkb
Hl42⚓/60⚓

42D.ூ௃I⚪ᑖ᪆:nok#pᨵ⌱⚗Bsᔠu▭,ᦑᫀ⌱A.ὃ;:gᦪ7j.b>0,c<0,ᑣxᱥRy=ax?+bx+cḄᜧ{7j!H)D.ூᫀ௃Bூᑖ᪆௃ᵫxᱥRḄ}~ᔣᑨaḄs#ᵫxᱥR%yḄD;ᑨcḄs#ᯠ᪷*xᱥR%xD;Qᳮ#ᡠ@Qᑨ.ூ௃Va<0,xᱥRḄ}~ᔣᔣ#ᦑ2⌱⚗┯&Vc<0,.xᱥR%yḄD;!ᙠyḄY#ᦑ⌱⚗┯&43⚓/60⚓

43TaVOஹb>0,!x=-2>o,2a...ᙠy#ᦑ⌱⚗┯.ᦑ⌱B.¢..£⚪(ᐳ6¦⚪#§ᑖ18ᑖ#¨¦⚪3ᑖ)11.ᑖ«¬(xy-1)2-(x+y-2xy)(2-x-y)=___.ூᫀ௃(y-1)2(x-1)2.ூ௃(¯x+y=a,xy=b,ᑣ(xy-1)2-(.x+y-2xy)(2-x-y)=(b-1)2-(a-2b)C2-a)=b2-2b+\+a2-2a-2ab+4b=(a2-lab+b1}+2b-2a+l=(b-a)2+2(b-a)+1=(.b-a+1)2&ᓽ²¬=(xy-x-j+1)2=[x(jz-1)-(y-1)]2=[(y-1)(x-1)]2=(y-1)2(x-1)2.ᦑᫀ!(ᔆ1)2(x-1)2.;¸(«¬ᑖḄ¹((1)º»¼«¬¹½b+/nc=/"(a+6+c).(2)¼¬¹:ÂᐰP¼¬#Pļ¬.(3)ᓝÇȹ.«¬ᑖḄÉ᎛#⌕`Ì᦮ᣚᐗ¹ḄᮣÑÒᵨ#ÔÕÖX¬×ØÙX᦮,ᑭᵨÛ¹«¬ᑖḄbÜ.12.ÝÞᐵExḄXᐗ¢ßx2-4x+k=0ᨵâᨵãḄuᦪ᪷#äåß%x2+mx-1=0ᨵXçḄ᪷.èk!sᔠᩩêḄ᦮ᦪÉ#mḄë!.Qூᫀ௃0ᡈX.3ூ௃ᐵExḄXᐗ¢ßx2-4x+k=0ᨵâᨵãḄuᦪ᪷#.,.í=16-4k>0,k<4,&.kḄ᦮ᦪë
3,ᓽk=3&Ax2-4x+3=0,ᓽ(x-1)(x-3)=0,44⚓/60⚓

44#x=lᡈx=3&জè%x2+mx-1=0çḄ᪷
x=lÉ#1+m-1=0,m=0&oঝè%x2+mx-1=0çḄ᪷
x=3É#9+3m-1=0,m=----&3oòᔠজঝÞ#sᔠᩩêḄmḄë!஺ᡈ-Yoᦑᫀ!0ᡈ-¢.313.᝞7#ᙠíÜ8c1#8cóḄᚖ9PᑖR஺EDóBCE;Q,CD4BEFE.GAEDCḄᕜö!24,í48C%ó04E0CḄᕜö÷Ä!12,ᑣRøḄö!.ூᫀ௃6ூ௃(••.OE
8cóḄᚖ9PᑖR#".BE=CE.&íEDCḄᕜö!24,.\ED+DC+EC=24,জ♦.•í48஺%ó0NEQCḄᕜö÷Ä!12,".(AB+AC+BC)-(AE+ED+DC+AC)=(AB+AC+BC)-(AE+DC+AC)-DE=[2,".BE+BD-DE=\2,ঝ,:BE=CE,BD=DC,¢জ-ঝ#DE=6.ᦑ614.ᢗúXûüýḄþ×#ᑣú“6”ᭆ᳛
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.ூᫀ௃জ.J,ঝ.ᨵ6ᑣḄ☢6Ḅ!ᓰ66#45⚓/&60⚓

45ூ'(௃ᨵ6ᓽ1,2,3,4,5,60ᑣḄ☢6Ḅᭆ᳛
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2ᨵ6ᑣḄ☢6Ḅ!ᓰ6ᦑᫀ—.615.ᵨ6ᑖᙊᕜḄ:;ᙠ=>1Ḅᙊ?@A᝞CᡠECFᑣC?▢HIᑖḄ☢Jூ'(௃(2᝞CKLḄ?P,NOOA,OP,AP,ROAPḄ☢J
:TU3,447TᡧFOAPḄ☢J
2SZF=/,AP\]^AP_☢J2S`a--64c⚪ὃfᡧF☢JḄgh.16.᝞Ciᱥ]y=x?ᙠn▲ᑁḄ᦮ᦪstᙶ᪗ஹᙶ᪗᦮ᦪḄAiAa,A3...A”….ziᱥ]y=x2{\]L2y=xᔣ~,ᑡiᱥ]Tᑡᩩ2#46⚓/&60⚓

46জiᱥ]Ḅ⚔Ml,M2,M3,...Mn,…ᙠ\]L2y=x±0ঝiᱥ]AiA2,A3...An,....ᑣ⚔\12018Ḅᙶ᪗s.ூᫀ௃জ.4035ঝ.4035ூ'(௃⚪(᪆2Mi(ai,ai)
iᱥ]y1=(x-a,)Ḅ⚔,iᱥ]y=x?iᱥ]y௃=(x-ai)2+aiAi,x2=(x-ai)2+ai,BP2aix=ar+ai,X=y(ai+1).x᦮ᦪ/.ai=l,Mi(1,1)0M2(32aa)
iᱥ]yz=(X-32)2+a2=x22a2x+a2?+a2⚔iᱥ]y=x2y2A?,x2=x2-2a2x+a22+a22a2X=a22+a2x=y(32+1).x᦮ᦪ,a2=3,M(3,3),2M3(33,33)
iᱥ]yz=(x-a3)2+a3=x22a3x+a3?+a3⚔,iᱥ]y=x2y3Aஹ,x2=x2-2a3x+a32+a3**.2a3X=a32+a3,#47⚓/&60⚓

47x=y(aa+l).2x᦮ᦪ0.a3=5,M(5,5),3•••M2014,¡ᙶ᪗22014x2-1=4027,/.MOI4(4027,4027).2ὃ2£¤ᦪCn¥¦§ᣚ.©.(⚪(ᐳ2«⚪)17.¬Rt^ABC?ZC=90°,a+b=2+2Q,c=4,¸┦ºAḄ»ᦪ.ூᫀ௃30°ᡈ60°.ூᑖ᪆௃ᐜ¸A஺ஹ¿cḄÀÁ¸A/XḄ©º¤ᦪÀÂøAḄ»ᦪ.ூ'(௃:;2z஺+6=2+26¡Ä~:᦮ᳮᶧ=46ÇÈ஺+6=2+26᪀⌼Ë6᪷Ḅᐗ£:Î2x2-(2+2Ï)X+4G=0,(2x\=2,X2=2G21ᑣ(1)sirt4=-=Ò┦º”Ḅ»ᦪ
30஺42(2)5ÓÔ=Õ1=ÖÒ┦º”Ḅ»ᦪ
60஺42ᡠËN/=30°ᡈN/=60°.:;£2•"a+6=2+2V3,6=2+26-a,ᵫÚÛÜᳮ2a2+b2=c2>ᓽ^+(2+26—aÝ=42,᦮ᳮ2/-2(Ï+1)஻+46=0,(2ß=2,%=2á21â஻=2Òsin4=—=—,┦ºäḄ»ᦪ
30஺42â஺=26Òåæ=ç=è┦ºZḄ»ᦪ
60஺042ᡠË4=30°ᡈ//=60°.#48⚓/&60⚓

4818.ᑮë?Òᡃízîïðᦪi,(iñðᦪᓫó).ôÜõ=-1,᝞-2=2x(-1)=(±72)2.P=(±V2i)2,÷øxù-2Ḅ᪷ú
2xi=J5i,X2=-^2'.¸:Îx2+2x+3=0Ḅ᪷.ூᫀ௃xi=-I+V2iX2=-1-5/2iூ'(௃x2+2x+3=0,(5ᑖ)x2+2x+l=-2,(x+1)1-2,x+l=±6i7x=-l±V2i>ᡠËxi=-l+J]i,X2=-l-&i.(15ᑖ)⚪ᦪ᪷ᵨᐗ✌ᐜᦪ⚗!ᑮ#$Ḅ&'#$(&)*+,-.⚗/ᦪ0Ḅ1ᓽ#$(*Ḅ3ᦪ4ᑏᡂ7ᐰ194.:.;⚪(ᐳ4=⚪)19.᝞@oABCDFAB=2,JAKᙊMABK0NḄᙊO*BCPJE,RSDE,AC,AE.(1)TUVAEDgZiDCA.(2)YDE1ᑖNADC[\஺A^ᑗPJE,@F▢abᑖ(ᡧ9)Ḅ☢e.ூg௃i⚪ᑖ᪆U(1)ᵫ:*9ABCDl1m:*9AB=AE,᧕To:*9AECDl#Ὺq9ᓽoAC=DE,ᯠsᵫSSS,ᓽToUAAED^ADCAv(2)ᵫDE1ᑖNADC[\஺A^ᑗPJE,oNEADḄwᦪxyoNBAEḄwᦪ,ᯠsᵫᡧ9Ḅ☢ez4o▢abᑖ(ᡧ9)Ḅ☢e.(1)T{U•••:*9ABCDl1m:*9v.AB=CD,AD஻BC,:*9AECDlq9~49⚓/60⚓

49VAB=AE,/.AE=CD,:*9AECDl#Ὺq9,AC=DE,ᙠAAEDADCAF'AE=DC-DE=ACAD=DAAAAED^ADCA(SSS)vv.NADC=2/ADE,::*9AECDl#Ὺq9ZDAE=ZADC=2ZADE,UDE\0A^ᑗPJE,.♦.AE_LDE,ᓽNAED=90°,v./ADE=30஺ZDAE=60°,ZDCE=ZAEC=180O-ZDAE=120°,:*9ABCDl1m:*9/.ZBAD=ZDCE=120°,ZBAE=ZBAD-ZEAD=60°,ὃJUᑗḄឋvᐰ#9Ḅᑨ\ឋv1m:*9Ḅឋvᡧ9☢eḄ.20.ᵯḄ᫏ឋ⁚Fᙠ⁚K¡ᑖ⌱£Ḅ¤ᕒ¦ᢝ¨©ªUᵨ«ᨵ{Ḅ®¯ᒹ±᪷²⁐´µ^+Ḅ¶·AAiஹBBHCCI=¹☄»¼½Ḅᜮ¿À᝞@ᡠÂÃᵫᵬஹÅ)ÆᗩÈᑖÉÊ®¯)Ëᔜ⌱᪷¶·ÍλY)¨⌱F+~50⚓/60⚓

50᪷¶·ᑣ)¨+ÐᔲᑣÒKÓÐᕒ.À1ÃYᵬᗩÈÊFÔÕ⌱Ö᪷¶·Î»×ាÙÚ»¶·AAiḄᭆ᳛;À2ÃÞᵨß᪛á@ᡈᑡ⊤ᵬஹÅ)ÆᗩÈåᑖK+ÐḄᭆ᳛.ூᑖ᪆௃À1ÃæS᪷çᭆ᳛z4ᓽvÀ2Ã᪷ç⚪Õᐜß»᪛á@o»ᡠᨵèéᦪᵬஹÅ)ÆᗩÈåᑖK+ÐḄêëᦪì᪷çᭆ᳛z4ᓽo»;ᫀ.ூg௃UÀ1Ã:ᐳᨵ᪷¶·[Ú»î᪷¶·Ḅåឋ^+•••ᵬᗩÈÊFÔÕ⌱Ö᪷¶·Î»ាÙÚ»¶·44Ḅᭆ᳛l=-;3À2Ãß᪛á@UABCï==A,B,C,ABiC[AB,C,ᐳᨵ9ð#åḄêëᦪᐸFᵬஹÅ)ÆᗩÈåᑖK+ÐḄêëᦪK3ðèé31ᑣᵬஹÅ)ÆᗩÈåᑖK+ÐḄᭆ᳛l=.9321.᝞@ᡠÂ=óᙠ᪥õ.ḄAᜐ÷☢øùúᦟüýᜋ.Ḅᜧ᪗᪗DᜐḄ30°,ᯠᜧᔣ5mᑮ!Bᜐ#$᪗%CᜐḄ45°.)$*16.65m,-.Ḅ/01ᙢ☢1.65m,ᜧ᪗Ḅ%45Ḅ⚔78.9:᪗%4;<Ḅ=1>?@1.732,CDᑮ0.1mE.ூGHᫀ௃ᜧ᪗%4;<Ḅ=1K3.5m.ூLM௃N⚪ᑖ᪆RS⚪TUḄVWᓄYZ[ḄᑁḄ]ᦪᑖ_9CEaBEḄb51⚓/e60⚓

51fᯠ9DEḄfᵨCEḄfhiDEḄfᓽkᑮ%a;<Ḅ=1.N⚪M᪆RlAB,CDḄmfnopqrE,ZCBE=45°,CE1AE,CE=BE,VCE=1665-1.65=15,s.BE=15,tAE=AB+BE=20.VZDAE=30°,/.DE=JE.tan30°=20x—=11.54,3r.CD=CE-DE=15-11.54-3.5
mE,HRᜧ᪗%4;<Ḅ=1K3.5m.22.᝞vwxḄyᛢ{|}~᝞⊤:s2017XᨴXxᜩR▢s]1.8ᓟ஺:II:40ᵬᙢ“p}”ᡂ,ᒴᔣᙢR:12:10}ᜮᑮ!ᙢᡂ“n}ᙳᒴ¡ᔣ¢:•12:35}ᜮᑮ!£ᙢ⍗ᑮᛀ¦§ᢱ©ᜮᡂ“©ᜮ}ᢥ%«~-¬S"p}''[ᡂ}ᜮ4ᙢ;<Ḅ=15>ᓟE4ᑖ¯EḄ°ᦪᐵ²ᵨv3⊤³ᐸUR“11:40ᵬᙢµ}Ḅ}ᜮ1ᙢ12ᓟ”¶rr3ᙶb52⚓/e60⚓

52᪗>*.0E,¹nsckᵨ¼°ᦪW½¾.>bcÀÁᦪEÂÃ.ᵂ>1E9”ḄÅÆ9?}ᜮÇᵬᙢᑮᙢḄ]s>2E11:59-¬ÉᓫËÇᙢ?ÌÍ{ÎÏÐÑ0.4gᓟ/ᑖḄ]ÓᵬᙢᔣiÔ}Õ᝛×ᑖ¯4}ᜮo⍗Ø>3Eo⍗-¬ÙᓽÚWËᜮÍ{ÎÏÐᢥ}ᜮ]4}ᜮÆÛÜ}ᜮÝᙢᙳᒴtᓫË]ᓟ/ᑖ-¬⌲ßàÕ-¬4}ᜮo⍗ᑮà}ᜮ1.8ᓟᐳ◤ä2f<Ø>}▤æ]1=>•=-ë-30IRÀḄ]E.125ூGHᫀ௃>1Em=30s0.4ᓟ/ᑖ¯s>2E5ᑖ¯s>3E-¬4}ᜮo⍗ᑮ}ᜮ1᝛1.8ᓟ᜜ᐳ◤⌕26ᑖ¯.ூLM௃N⚪ᑖ᪆R>1Eᵫ⚪ðkñR30ᑖ¯ᑮ!ᙢÇtkñm=30,ᵫqᵬᙢᑮᙢÀᒴòóᡠÑᑭᵨÐö◀Ñ<ᓽk9?]s>2Eᵫq}ᜮḄ]0.4ᓟ/ᑖ¯ᡠÑᑮ11R59}ᜮø19x0.4=7.6ᓟl-¬?Ìxᑖ¯᪷û⚪ðᑡ?öᓽk9?xḄÅ>3Eᐜ9?sḄM᪆þ᪷û}▤æḄᐵ²þ9?}ᜮḄ]!ᑮᓫË]0.48ᓟ/ᑖ¯ᡠÿḄ
t,ᜮᙢḄs,᝛ᙢḄSI,ᑣSI
tḄᦪᐵsi=0.48t+h&'35*,+t=35
,si=s=",./hḄ0,ᜮ15231.8ᓟ6
,ᓽs-si=1.8,./tḄ0,ᵫ:12ᜮ3⍗<,ᢥᜮ>?ᜮ@AᑮCᙢᵨ
6ᑖG,ᐳ◤⌕
6+50-30=26ᑖG,L⚪N᪆P&1*ᵫ⚪QPm=30SAB&30,0*,ᜮᵬᙢᑮᙢḄ>?PW=0.4ᓟ6/ᑖGS30&2*..•ᜮḄ>?0.4ᓟ6/ᑖG,Zᑮ11P59
,ᜮ\]^19x0.4=7.6ᓟ6,12/axᑖGᜮ3⍗,.,.0.4x+0.48x=12-7.6,x=5Z125ᑖGᜮ3⍗,b53⚓/d60⚓

53(3)g(30,0),C(55,15)iᐭs=_lt2+bt+c,125224NoPb=--pc=-p255.1224..s=---t22-——t--125255Vvo=O.4,22.\v=---(t-30),1255+ᜮḄ>?Cᑮᓫx>?0.48ᓟ6/ᑖG,y
v=0.48,22A0.48=.(t-30)+Z,1255At=35,+t=35
,122411s=---t--7-—t-=p,1252555...t=35ᑖ(12P15
)z{,ᜮ|:12>?ᝂᔣᙢ,12⌲<,+120.48ᓟ6/ᑖḄ>?ᒴ>ᜮ.᝛ᙢḄsi,ᑣsi
tḄᦪᐵsi=0.48t+h(t>35),1173+t=35
,si=s=—,iᐭoPh=-—,55._1273••Sj-t-—255ᜮ1231.8ᓟ6
,ᓽs-si=1.8,,1,2241273,••t--t---t+—1.o8125255255NoPt=50ᡈt=20(ᨵᔠ⚪Q,),S.t=50,12ᜮ3⍗<,ᢥᜮ>?ᜮ@AᑮCᙢᵨ
6ᑖG,ᐳ◤⌕
6+50-30=26ᑖG,Z12ᜮ3⍗ᑮᜮ᝛1.8ᓟ6᜜ᐳ◤⌕26ᑖG.b54⚓/d60⚓

54ὃPZᦪḄᵨ..N⚪&ᐳ21⚪*23.ᡃP᝞1,ᙠA/BC,gN8A¡
┐£¤a&0°<&<180°oᑮᨴ8',gZCA⌮
┐£¤/oᑮZC',§¨+a+᜛=180°
,ᡃªV/15U«¬Z8CḄ“£⊡¯°±",V/EC²B'C'WḄ³/஺µ¶A/BCḄ“£⊡³”,Aµ¶“£⊡”.ᱯ¹ºP&1ᙠ2,3,«¬NBCḄ“£⊡¯°±”,«¬Z8CḄ“£⊡³”.জ᝞2,+AZBC¼²¯°±
,½஺5cḄᦪ¾ᐵBC7ঝ᝞3,+NA4c=90°,8c=8
,ᑣÀ.ÁÂÃÄP&2ᙠ1,+AZBCÅQ¯°±
,ÁÂ4஺8cḄᦪ¾ᐵ,@ÆÇÄÈ.ூÊËᫀ௃&1জ&8CSঝ4S
2AD=^BC,ÎN᪆ூᑖ᪆௃&1জ᪷ÐÑ30஺Ò°¯°±ḄឋÔNSঝÄȬAB'CgAABC,᪷Ðᐰ¼¯°±ḄឋÔoᑮB,C=BC,᪷ÐÒ°¯°±ḄឋÔÖ×S
2ÄÈز±AB,EC«ÙAز±,oᑮB,E=AC,NBAU+/AB,E=180஺,᪷Ðᐰ¼¯°±ḄឋÔoᑮAE=BC,oᑮᫀ.ூÚN௃&1*জ:¬ABC«¼²¯°±,,AB=AC=BC,ZBAC=60°,Û¬AB,஺«AABCḄ“£⊡¯°±”,S.NB'AC'=120஺,AB=AB,,AC=AC',S.AB'=AC',b55⚓/d60⚓

55.•.NAB'D=30°,/•AD=yAB\.*.AD=yBC,ᦑᫀ9;ঝ«AABCḄ“£⊡¯°±”,/.ZB,AC,=ZBAC=90°,AB=AB',AC=AC,,ᙠAABCÝAABC,AB=AB

56VDE=AD,ز±AB,EC«ÙAز±,B'E=AC',NB'AC'+NAB'E=180஺,Va+P=180°,.\ZB,AC,+ZBAC=180°,NEB,A=NBAC,ᙠAEBAÝACAB,BA=AB¯,+NAPBÒ°
,øùïᱥ³ᔣúᡈᔣûÙüt(0Vt<-)ýᓫþ,Cஹ22PÙü<ÿḄᑖCஹPIᔲᙠt,✌AஹBஹPஹCᡠ᪀ᡂḄḄᕜᨬᙠ!tḄ"#$%&ᱥ()*Ḅ+ᔣ-.ᨵᙠ0$%ᳮᵫ.ூ567ᫀ௃প&ᱥ(Ḅ<᪆>?y=7x2----x-2-C(—,-------).(2)-1ᓽK!<᪆>LMᣚᡂ⚔>ᓽK.(2)PABQRᡠST&ᱥ(UḄPᙠ஺CḄᑁXYZ[NAPB\]ᡠS-1

57(3)bc)*YAD+DB"ᨬᓽKdefgC'ᐵixjklḄᙶ᪗C”,ᑮQ(P"C"Ḅ<᪆>ᯠLqAḄᙶ᪗rᐭᓽK.B?y=-x2-'x-2-22(2)᝞v1,SABQRfᙊM,ᑣ&ᱥ(ᙠᙊᑁḄXᑖyNAPB\],35:.M(-,0),OMḄ{R=}.22TP&ᱥ(~yjḄ.•.OP'=2,".MP'=y]0P'2+OM2=-,2.♦.Pᙠ0Mt,-.PḄkl(3,-2),.,.T-l

58&ᱥ(ᔣbᡈᔣc)*PABஹPCF"ᡠSAஹBஹPஹCᡠ᪀ᡂḄḄᕜᨬ,⌕AC+BPᨬ-?&ᱥ(ᔣc)*AC+BPAC+BP,^?ᔣb)*᝞v2ᡠᵫ(2)KP(3,-2),325/•C*(--t,~—),P*(3-t,-2),28•AB=5,".P"(-2-t,-2),⌕AC+BPᨬ⌕AC+AP"ᨬᓽK,325CᐵixjḄklC஻(--3—),28Q(P"C"Ḅ<᪆>?y=kx+b,2=(-2-t)k+b,25,3ஹ—=(--k+b18'2,41k=—28<,4113b=—tH-----2814

5915••t=—.41ᦑ&ᱥ(ᔣb)*”ᓫAஹBஹP\Cᡠ᪀ᡂḄḄᕜᨬ.41?ᑭᵨjklḄឋ<¡¢v£Ḅᨬ"¤⚪¦§Ḅ¨⌕©ªFᳮᨵ«?¬1®«¯°(±ᨬ-¬2®³]«¯´ᜧi^³.^60⚓/a60⚓