2022-2023学年河北省保定市中考数学专项提升仿真模拟试题（一模二模）含解析

《2022-2023学年河北省保定市中考数学专项提升仿真模拟试题（一模二模）含解析》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。

2022-2023
ᓅḕὃᦪ⚗ᓣ⚪ஹ⌱⌱ᜧ⚪ᐳ16⚪16⚪⚪2ᑖ"716⚪⚪2ᑖᐳ42ᑖ.ᙠ⚪%&Ḅ(⌱⚗)ᨵ⚗+,ᔠ⚪.⌕0Ḅ2321.
ax-=bx1—=c4--,aஹbஹc0,ᑣaஹbஹcᨬḄᦪA.ab.oL.cD.ac*2.᝞AB஻CD,EFJ_ABE,Nl=60஺ᑣN2Ḅᦪ■D.20°«3.ᨵᳮᦪaஹbᙠᦪḄ!"᝞ᡠ$ᑣ%ᑡ'()*Ḅab------1_____I•I____I________I_____-3-2-10123A.a+b>0B.ab>0C.a-b0«4.+-x+2,Ḅ-.ᙠᦪ⊤$)*Ḅ*AT^-1012yD231I1I>32-1012C.010005.ᙠ456ᨵx⚩8⁐5:y⚩;⁐5:<6=>?@2⚩5:?A8⁐5:21Ḅᭆ᳛2.᝞EFG6HI6⚩;⁐5:?A8⁐5:Ḅᭆ᳛2ᑣJᩭ6ᨵ548⁐5:•A.8⚩B.6⚩C.4⚩D.2⚩"6.᝞AB஻CD,NABKḄMNᑖPBEḄQᔣSTPNDCKḄMNᑖPCFḄQᔣSTPUVH,NK-/H=27஺ᑣ/K=A.76°B.78°C.80°D.82஺A

17.2WXYZḄ[\᝞ᡠ$ᑣ]WXYZ)*`ᦗWrtfflA.ᳫZB.ᙊ┵C.efD.ᙊf-8.|a-4|+(b+1)2=0,hia+b=()*A.5B.3C.-3D.5,9.᝞jkl/BAD=NACB=90°AB=AD,AC=4BC,mC£>ḄTnx,jklZ8C஺Ḅ☢pnV,ᑣVqxrsḄtᦪᐵv+*10.᝞ᙠRtZXABCZABC=90°,AB=BC=J^wAABCxVC⌮z┐|}60°,AᑮMNC,'BM,ᑣBMḄT*A.4B.0+1C.&2D.*11.᝞ᙠN☢Mᙶ᪗v஺nᙊ〉TnUXVM,UyVN,FᑖVMஹNnᙊᜧLMNḄTnᙠ0▲UV2P.VPḄᙶ᪗n2a,b+1,ᑣaqbḄᦪᐵvnA.a=bB.2a+b=-1C.2a-b=lD.2a+b=l*

212.᝞ᙠl/BCD஺n/CVJ.NCUE,VG/EV¡40G=30°,%ᑡ'(1OC=30G¨2OG=1*8C¨3AOGEk[Ml¨4SJOE=S«¬4BCO,)*Ḅᨵ*6A.1WB.2WC.3WD.4W®13.¯ᯠᦪn²A[WᦪḄ³´µ¶""·¸I!¹ᑣºnn"³I!ᦪ"»᝞2"³I!ᦪ”½n2+3+4=9·¸I!¹¨4"³I!ᦪ"½n4+5+6=15·¸I!¹¨13"³I!ᦪ”½n13+14+15=42·¸I!¹¨51"³I!ᦪ”½n51+52+53=156·¸I!¹.᝞E<0,1,2,99]100W¯ᯠᦪÂ?2Wᦪhi?ᑮ"³I!ᦪ"Ḅᭆ᳛*A.0.88B.0.89C.0.90D.0.91•14.
tᦪy=x?-2mx+2016tnnÉᦪḄᨵ[VAxi,yi>BX2>y2,CX3,y3,ᐸxi=-y/2+m,X2=y+m,X3=m-1,ᑣyiஹy?>y3Ḅᜧᐵv*A.yi

3A.(201673-2018)B.(201673>2016)C.(2016,201673)D.(2016,201873)*1ஹ23⚪(ᜧ⚪ᐳ4⚪⚪3ᑖᐳ12ᑖ)J«17.-V2ḄÕQᦪ᎔ᦪ×18.
a᦮ᦪtᦪy=10x+aḄqᙶ᪗ᡠ4ᡂḄ[MlḄ☢pᦪnÚᦪᑣ]WÚᦪ.19.PÛABḄTn5,VAᙠN☢Mᙶ᪗vḄᙶ᪗n(3,-2),VBḄᙶ᪗n(3,x),ᑣVBḄᙶ᪗n20.᝞AABCᑁÝDBCḄVODUBCVH,OH=DH,ÝAD,3ÞVBßBE_LADVE,ÝEH,BF_LACM,AC=5,EH=-,ᑣAF=."26ஹ79⚪:(ᜧ⚪ᐳ6⚪ᐳ66ᑖ79;ᑏ&ᦻ>?@?ᳮBCᡈEFGH)21.(1)à¶2cos45°-(7t+l)°+(2)-âãx(2x-5)=4x-10.•22.᝞ᙠAABCZACB=90°.AC=BC,ZPCQ=45°,ä/PCQxVC|}ᙠ᦮W|}ÞãÞVAßADLCP,ᚖænD,PADUCQE."(1)᝞জNPCQᙠNACBᑁèzéêAD+BE=DE¨*(2)᝞ঝCQᙠNACB᜜èzᑣPÛADஹBEqDEḄᐵvn(3)ᙠ(1)Ḅᩩî%CD=6,SABCE=2S“CDéAEḄT.”

4ï᳛ðḄñ:IòóôõÞö÷
⍝Cù®ñ:Ḅúï᳛n80%,᪷üö÷ᦪüýᑴÿ☢᦮Ḅ1ஹ2•1஺Ḅᦪ*2!⌱#Ḅ$%&'ᑮ1%)♦
3᝞+,-Ḅ.ᑮ/0123456/75ᑮCḄᭆ᳛24.ᳮ;ᦪ<ᐶ>?@ᙠBC᝞D7E஻15஺ḄGHὃஹJKஹLMNᑮOHP*QRC8ST஺UV84,WX[2—\/3AD.Y4஺=1,[!|BD=34=2,tanD=tan\5Q=-----_=-----_------=2—2+J3(2+V3)(2-V3)tanHP`ᑭᵨcdefḄghiᑗkl
a±p="`.ᎷYa=60஺1ᓟtanatan/஺=45஺tᐭvhiᑗkltan\5Q=tan
60°-45°=—tan45=.*1+tan60°tan4501+

5HPwᙠ⚔hy30஺Ḅ|Ὺwh~2ῪfḄO..."HP…*;ᑡ⚪(fHPὃ)(1)76஻75஺ḄG)*(2)!ᵨ᝞2,ᵯᛞᙠ/?f8cy30¢ᙠᙢ¤☢fᨵ/T/,§N4CTª«¬y60¢1§NᵯᛞḄh(NCAD)y45஺7®ᵯᛞC஺Ḅ¯)"14(3)°±᝞3,²³_y=—X-1¸¹º³»=—L¼/,8T¸y½L¼TC,,2x²³¾TC¿À45஺Áᔲø¹º³ÄLÅÆÇ76LT_Ḅᙶ᪗)ÆÇᳮᵫ.25.-Ë`ÌÍᦪy=x2+mx+nḄÑTP(-3,1),ÓÔ½(-1,0)Õ¤%¼y½Ḅ²³.(1)7mஹnḄG)”(2)᝞Íᦪy=kx+bḄÑTP,¸x½ÄL¼TA,¸`ÌÍᦪḄÑÄL¼Ú/TB,TBᙠTPḄÜÝPAPB=15,7ÍᦪḄ⊤ßl.à26.᝞ᙠOTOyᙊãḄäãᙊ2?ᙊ²åAEḄQR³ç¸ᜧᙊL¼TB,TDᙠᜧᙊfBD¸?ᙊÄᑗ¼TF,AFḄQR³¸ᜧᙊÄL¼TC,ÕCELBD.ì62Ä|Ḅ³íîï.“D

62022-2023
ᓅḕὃᦪ⚗ᓣ⚪ஹ⌱⌱ᜧ⚪ᐳ16⚪16⚪⚪2ᑖ"716⚪⚪2ᑖᐳ42ᑖ.ᙠ⚪%&Ḅ(⌱⚗)ᨵ⚗+,ᔠ⚪.⌕0Ḅ2321.-Ëax)=bxl—=c+),Õaஹbஹcñ|¼0,ᑣaஹbஹc2ᨬ?Ḅᦪ"353A.aB.bC.cD.agc*ூiõöᫀ௃B«233ூù;௃aX—=bX1—=c4—,*352233AaX-=bXl-=cX-,»3523321->->-,■523.,.b0B.ab>0C.a-b0

7ூᫀ௃c«ூᑖ᪆௃ᑭᵨᦪᐜᑨ஺ஹ6Ḅ!"Ḅᜧ$%ᯠ'()*+,ᓽ..ூ01௃12ᵫaஹ6ᙠᦪ6Ḅ78.92a<0,b>0,:;>ᔣ%•.a+b<0,ab<0,a-b<0,a+6Vo..ᦑ⌱2C."4.EFG-x+2KḄ1Lᙠᦪ6⊤NḄO)«A.B.-3-2-1012-3-2-1012C.D.-3-2-101-3-2-1012ூᫀ௃B«ூ01௃T⚗V%"-XY-2,*EFGZ[\]-1%ᦋ`EFaḄbᔣV%*xW2eᙠᦪ6⊤Nfᒹh2ij[Ḅkᑖe"ᦑl⚪⌱B.”5.ᙠpqr
ᨵx⚩u⁐qwiy⚩y⁐qw%zr
{|}~⚩qw%}Vu⁐qw21Ḅᭆ᳛~.᝞(r
)6⚩y⁐qw%}Vu⁐qwḄᭆ᳛~%ᑣᩭr
ᨵ54u⁐qwOA.8⚩B.6⚩C.4⚩D.2⚩ூᫀ௃C"2ூᑖ᪆௃ᐜ᪷u⁐qwḄᭆ᳛~%Vᑮ~b%(r
)3⚩y⁐qw%}Vu⁐qwḄᭆ᳛`,%(Vᑮ~b%1bᓽ.Vᫀ.4x_2x+y5ூ01௃ᵫ⚪Vxj_x+641Vx=4,y=6•xஹybḄ1%-ᦑ⌱C.*6.᝞%AB஻CD,NABKḄᑖ¡BEḄ£ᔣ¤¥¡iNDCKḄᑖ¡CFḄ£ᔣ¤¥¡§¨©H,ZK-ZH=27°,ᑣNK=O•

8HD.82"ூᫀ௃B*ூ01௃᝞%ᑖ®¯KஹH°ABḄ*¡MNiRS,±AB஻CD஻RS஻MN,*.,.ZRHB=ZABE=-ZABK,ZSHC=ZDCF=-ZDCK,22ZNKB+ZABK=ZMKC+ZDCK=180°,*ZBHC=180°-ZRHB-ZSHC=180°--(NABK+NDCK),*2ZBKC=180°-ZNKB-ZMKC=180°-(180°-ZABK)-(180°-ZDCK)=ZABK+ZDCK-180°,NBKC=360஺-2ZBHC-180°=180°-2ZBHC,*²NBKC-ZBHC=27°,•AZBHC=ZBKC-27°,*/.ZBKC=180°-2(ZBKC-27°),,/.ZBKC=78°,*ᦑ⌱B."7.~³´µḄ¶·᝞ᡠN%ᑣ¹³´µ()»□inm□j¼A.ᳫµB.ᙊ┵C.ÀÁD.ᙊÁ*ூᫀ௃D*

9ூ01௃Â⚪ᑖ᪆2ÃÄ.9%¹³´µḄÅ·ᙊ%Æ·Çj·\ÈÉ%ᡠ¹³´µᙊÁ%ᦑᫀ⌱D.*ὃ©2³´µḄ¶·Ë8.Ì|a-4|+(b+1)2=0,ÍÎa+b=()A.5B.3C.-3D.5,ூᫀ௃B"ூ01௃V|a-4|+(b+1)2=0,«/-a-4=0.b+l=0,".,.a=4,b=-1,*/.a+b=4-1=3,"ᦑ⌱B.*9.᝞%Ï[ÉNBC஺
%/BAD=NACB=90°AB=AD,AC=ABC,ÐC£Ḅ¥x,Ï[ÉNBC஺Ḅ☢ÒV,ᑣÓÇxÔÕḄÖᦪᐵØG()“ூᫀ௃C*(ᑖ᪆௃Ï[ÉABCDÉEÚᑣ,᪷Û9ᩩÝ%Þ4ABCßA©⌮á┐ãä90஺ᑮ4ADEḄ78%Ï[ÉABCDḄ☢Òå⚪äᓄçÉACDEḄ☢Òå⚪2᪷ᐰF¶É¡éÔÕḄᐵØ%êëìᳮ%îçÉ6ïDE,ðïAC,ñDFᑖ®ᵨòxḄGw⊤N%.⊤NÏ[ÉABCDḄ☢Ò.*ூ01௃°AELAC,DE±AE,Z¡§¨E©%°DF,ACᚖôF©%*ᨴ—.........EZBAD=ZCAE=90°,BPZBAC+ZCAD=ZCAD+ZDAEZBAC=ZDAE,²eAB=AD,ZACB=ZE=90°.".÷ABC^AADE(AAS)*e.BC=DE,AC=AE,

10ÐBC=a,øljDE=a,DF=AE=AC=4BC=4a,-CF=ACAF=AC-DE=3a,MᙠRtZXCDF
%ᵫêëìᳮV%"CF2+DF2=CD2,ᓽ(3a)2+(4a)2=x2,1V2a=ù%"5y=SpqaifABCD=SBKACDE=yx(DE+AC)XDF*=——x(a+4a)x4a2=10a2*5ᦑ⌱C.*l⚪úᵨûãäü%ÞEÚᑣÏ[É☢Òå⚪äᓄçÉḄ☢Ò%ᐙᑖúᵨûᐰF¶É%êëìᳮᙠ1⚪
Ḅ°ᵨ."10.᝞%ᙠRt^ABC
%ZABC=90°,AB=BC=J^,Þ÷ABCß©C⌮á┐ãä60°,Vᑮ÷MNC,þÿBM,ᑣBMḄ"A.4B.73+1C.V3+2D.pூᫀ௃Bூ௃⚪᪆᝞AM,".♦.AM=CM,NMAC=/MCA=NAMC=60°.VZABC=90°,AB=BC=0,*

11.AC=2=CM=2,■VAB=BC.CM=AM,"BMᚖᑖAC,*.•.B0=^-AC=1,OM=CM«sin60°=V3.*BM=B0+0M=l+5*ᦑ⌱B.*11.᝞ᙠ☢ᙶ᪗#$%஺'ᙊ)〉+',-./0x123M,0y123N,4ᑖ5%3MஹN'ᙊ)ᜧ2!MNḄ',-./9/ᙠ:;<▲023P.>3PḄᙶ᪗'2a,b+1,ᑣa?bḄᦪAᐵ#'CA.a=bB.2a+b=-1C.2a-b=lD.2a+b=l•ூᫀ௃B«ூ௃⚪ᑖ᪆᪷EFGHIJ3Pᙠ:;<▲ᑖKL"ᑣP3NOᙶ᪗ḄP'0,ᓽ2a+b+l=0,.\2a+b=-1.ᦑ⌱B."12.᝞ᙠRSN8CD$஺'NC$3EF#4c%4B&E,3GNE$3TNNOG=30°,VᑡXY1OC=30G
2OG=^-BC'
3AOGEZ[\S4=(S*+ABCDḄᨵC6A.1^B.2^C.3^D.4^.ூᫀ௃C«ூᑖ᪆௃᪷ERSḄឋaஹZ[\SḄᑨcஹdecᳮ⌲hᑨiᓽI"ூ௃•••3GZE$3EFLAC,«

12.OG=AG=GE=-AE,*2VZ/4OG=30°,■AOAG=NAOG=30°,NGOE=90°-NAOG=90°-30°=60஺•AOGEZ[\Sᦑ3k/E=2a,ᑣOE=OG=a,ᵫdecᳮJAO=yjAE2-OE2=yj2a2-a2=y/3a.*'NC$3••,.AC=2AO=2.*ᙠmnABC$ZCAB=30°,.BC==AC=®,«2ᵫdecᳮJN8='2opߟ=3஺"•.•r[SRS"/.CD=AB=3஺/.DC=3OG,ᦑ1s,/OG=a,-BC^—a*22AOG^-BC,ᦑ2┯u"2SAAOE==wa?.SRS"8=3a=3/a2,*^^AOE~'7^'^,K-ABCD,ᦑভy"6zLᡠ|ḄXYᨵ(1)(3)(4)«ᦑᫀ⌱C.”~⚪⌕ὃRSḄឋaஹZ[\SḄᑨc?ឋaஹdecᳮ⚪Ḅᐵ13.>ᯠᦪnJ\^ᦪḄH""<ᑣn'"ᦪ"᝞2“ᦪ”'2+3+4=9<4"ᦪ”'4+5+6=15<13"ᦪ"'13+14+15=42<51"ᦪ"'51+52+53=156<.᝞0,1,2,99100^ᯠᦪ$h^ᦪ

13ᑮ“ᦪ”Ḅᭆ᳛)•A.0.88B.0.89C.0.90D.0.91ூᫀ௃A"ூ௃+n=O,0+1=1,0+2=2»n+(n+1)+(n+2)=0+1+2=3,ᦪ*+n=l,1+1=2,1+2=3,n+(n+1)n+2C=1+2+3=6,ᦪ"+n=2,2+1=3,2+2=4,n+(n+1)+(n+2)=2+3+4=9,ᦪ"+n=33+1=4,3+2=5,n+(n+1)n+2C=3+4+5=12,ᦪ;•+n=4,4+1=5,4+2=6,n+(n+1)+(n+2)=4+5+6=15,ᦪ*ᦑ0,1,2,910^ᯠᦪᐳᨵᦪ10-3=7^ᨵᵫ210+11+12=33^ᡠ%.”»'13+14+15=42,^hᡠ%¼."ᢥ᯿¿ÀIÁ0,1,2,10,11,12,20,21,22,30,31,32ᐸÃÄ."ᡠ%hᐳᨵ88^ᦪᦪ.ᭆ᳛'0.88.•ᦑ⌱A."14.ÅÁÆᦪy=x2-2mx+2016m'ÊᦪCḄCX3,y3C,ᐸ$xi=-J^+m,X2=y+m,X3=m-1,ᑣyiஹy2ஹy3ḄᜧÐᐵ#CÑA.yimyÚxḄÛᜧÜÛᜧ*ᵫÙឋJxi=-⊈+m?x=m+V2ḄyßàZX3=m-1?x=m+lḄyßàZ*2T

14A.SiVS2Vs3B.S2VS1VS3C.Si=60°.".a60ÿ2_TTR1.3606஺1202ᐔR2.SᡧBOC==•3603ᙠocz)zocn=30°,*.OD=—,CD=—R,BC=J5R,•22.„_V3A2__TTR26R2ᐔ-3.••ஹxOBC--------o--------------2________/43412(4-3@%>ᐔR2ு▲21tߟ12~6~>4AS22016)C.(2016,2016N)D.(2016,201873)

15ூQRSᫀ௃A*ூVW௃WXYBiᔣx?\ᚖFBC,ᚖ^

16ᦑ⚪ḄSᫀ9XV2X-—lV2.-218.pa9᦮ᦪᦪy=10x+aḄ1ᙶ᪗?ᡠᡂḄḄ☢ᦪ<ᦪᑣ¡¢ᦪ=£.”ூQRSᫀ௃5*ூVW௃XᦪḄW᪆v

17■:BD=DC"AZEAB=ZEAN,*VAD±BN,*AZAEB=ZAEN=90°,*AZABE+ZBAE=90°,NN+NEAN=90஺*AZABE=ZN,*AB=AN,²BE=EN,³VOD±BC,ABH=HC,*ACN=2EH,*AB´=AN=AC+CN=8,*VOH=HD,BH1OD,*BO=BD=OD,*AZBOD=ZDOC=60°,*AZBAC=-ZBOC=60°,*2ᙠRt/XAMBAM=lAB=4,BM=4N*ᙠRtZ\BMCBC=^BM2+CM2=7J4V32+12=7-*VZMAF=ZMBC,NAMF=NBMC,■/•µAMF^ABMC,*.AFAM*"~BC~~BM'AF4•••AF=1^L"3

18ᦑSᫀ<¶.•3ὃ¸¹ᙊᕜ¼ᳮஹᚖ½¼ᳮஹᐰ=Ḅᑨ¼ஹÀÁ¼ᳮÂḄᑨ¼Ãឋ=pÅW⚪ḄᐵÇ9ÈÉÊËÌᵨÎÏFÐdÑÒᦪÓÔḄÕᵨ."6ஹ79⚪:(ᜧ⚪ᐳ6⚪ᐳ66ᑖ79;ᑏ&ᦻ>?@?ᳮBCᡈEFGH)21.(1)Ö×X2cos45஺-(ᐔ+1)°+Jl+(g)T*(2)WÜXx(2x-5)=4x-10.*ூQRSᫀ௃(1)Ý+Þl(2)xi=2,X2=2.5,2ூVW௃à⚪ᑖ᪆X(1)áv⚗ᑭᵨḄᦪÖ×ä⚗ᑭᵨåᢣᦪçèᑣÖ×,ä⚗ᑭᵨ×é§᪷¼ëÖ×ì⚗ᑭᵨí᦮ᦪᢣᦪîèᑣÖ×ᓽefᑮñòl(2)Ü᦮ᳮóᑭᵨôvᑖWèõ}Wᓽe.*à⚪W᪆X(1)áv=2xö…@+2=&+஽222(2)Ü᦮ᳮfXx(2x-5)-2(2x-5)=0,"ᑖWôvfX(x-2)(2x-5)=0,•WfXxi=2,X2=2.5.*22.᝞1XᙠAABCZACB=90°,AC=BC,ZPCQ=45°,ú/PCQûACüýᙠ᦮¢üýYÜYAA\AD_LCP,ᚖ^

19(2)ᙠLjk஺l=£>E,ᯠZ᪷H#$ᚖJKᑖ#LḄMᑮ#$NOMḄPQRSTUCE=CF,WXᯠZᑭᵨ“^_^”`a4CFbaBCEᐰS᪷HᐰSd_eḄᓽT`ghUmljZD=8E+£>E*(3)᪷HSῪJ_d_eḄឋpXCD=DF=DE,W᪷HSqḄd_eḄ☢sḄtSuv^ḄtX/l=2/஺ᯠZXw஺Ḅ2W᪷H/£=w஺+஺ZyᐭᦪH|}~ᓽTU<@⚪<᪆(1)`᝞জC2D4ᑮ;DF=DE.,CDLAE,.CE=CF,.ZDCE=ZDCF=ZPCQ=45°,.ZACD+ZACF=ZDCF=45°.ZACB=90°,ZPCQ=45°,.ZACD+ZBCE=90°-45°=45°,ANACF=NBCE.ᙠa/CF<=BCECE=CF\ZACF=NBCE,.=ACFmABCE(SAS),.AF=BE,.AD+BE=AD+AF=DF=DE,AC=BCB[JAD+BE=DEi"(2)<:᝞ঝᙠLjk஺l=DE.CO_L/E,.•.CE=CR.•.NOCE=NOCF=NPCQ=45஺,NECF=NDCE+NDCF=90஺,ZBCE+ZBCF=ZECF=90°.VZJCB=90°,CE=CF./ACF+NBCF=90°,./ACF=NBCE.ᙠ=4CFba8CE

20WXᦑZ6QRSQTUᑖV¼"■QRWQT½1¾C£¤Ḅª«ᦪ©*½2¾±²~¿`À⌱Á£¤Ḅ|}¯°½ᑮ1%¾*½3¾᝞ÃÄŪ«ḄÆᑮÇÈgÉÊkXÇ©kᑮC£¤ª«Ḅᭆ᳛ூ567ᫀ௃½1¾480½2¾À⌱X£¤Ḅ|}¯°ᳮᵫ;<᪆½3¾gÉÊkX48Ç©kᑮC£¤ª«Ḅᭆ᳛*■.*127ூᑖ᪆௃½1¾ᵫᡧeT³C£¤ÔᑖtWXC£¤᪷Hª«᳛ᓽT<;½2¾ᑖÖ~XdḄª«᳛ᓽT<"½3¾ᵨ஺£¤ª«Ḅᦪ×◀ÙAஹ8ஹCd£¤ª«ᦪḄÚᦪᓽT.ூ?<௃<½1¾C£¤Ôᑖt*:1-30%-30%=40%"C£¤ᦪ*%x=600½©¾*஺£¤Ḅª«ᦪ60½¾x80%=480½©¾"½2¾ᑖÖ~dḄª«᳛“420☢ᐳT82%,C£¤à=8஺áâ/£¤----------=93%,8£¤:1500x30%ᡠÙÀ⌱/£¤Ḅ|}¯°.•½3¾ᙠŪ«Ḅᨵ/£¤Ḅ420©8£¤Ḅ370©C£¤Ḅ480©"48048ᦑgÉÊkXÇ©kᑮC£¤ª«Ḅᭆ᳛*420+370+480127⚪ὃæᦪHḄ᦮ᳮbᑖ᪆çèᡧeº~bJéÙêᭆ᳛Ḅ~éëᮣíîᵨᓽT.*24.ᳮ<ᦪïᐶñòóᙠôõ᝞ö÷஻15஺ḄùúὃஹûüஹýþUᑮÙ.úÿ"

21᝞1,ᙠR/A/5CZC=90°,ZABC=30°,C5஺12-73r-AD.#4c=1,ᑣ8£>=84=2,BC=y/3■tanD=tan\5°=----*=-----*------J=-=2-A/3•*2+J3(2+V3)(2-V3)tanCt0tanB0ᑭᵨ3456Ḅ8(9):;ᑗ=>3?(aip)=-----------Ꮇ#a=60஺17tanatanB=45°Fᐭ9:;ᑗ=>fa஻15°=/a஻(60°-45°)=ঢ11tan45==?K.«1+tan60°tan45°1+V3Pᙠ⚔:R30஺ḄSῪP:UVῪ6ḄWXYZ…\...*^_`aᑡc⚪(6efghὃ).j(1)kl:nop஻75஺Ḅqr"(2)sᵨ᝞2,tᵯvᛞxᙠyz{6{W8cR30|ᙠᙢ~☢6ᨵ4,/,CR60|ᵯvᛞḄv:(NC4D)R45஺nyᵯvᛞCDḄWr14(3)᝞3,=—X-1y=—4BDE,yC,2x஺45஺ᔲ¡¢£¤¥no*Ḅᙶ᪗r¤¨¥^©ªᳮᵫ.*ூ;®¯ᫀ௃(1)2+Kr*(2)60AA+60;4(3)¥¢P(-l,-4)ᡈ(3)."3ூᑖ᪆௃(1)᝞4,¸◤º␺Ḅ¼½¾Y_`c⚪¿

22(2)᝞5,ᙠR/A/18CᵫÀÁÂᳮno48,ᵫP:ÃᦪoNA4c=30஺.¿ᑮNDAB=75°.ᙠG,ᵫP:Ãᦪ¾Yno஺8,¿noOCr*(3)ᑖkÈÉÊËÌজ¤C⌮Ï┐45஺¢P,᝞6.ÑCVCO஻xÑPVPELCDE,ÑNVZFLCDF,Yᐜno4ஹBஹCḄᙶ᪗¿nofa”//஺7ḄqÙ¿ᑭᵨ8(9):;ᑗ=>nofaw/PC£=ra"(45°+Z^CF)Ḅq#PḄᙶ᪗R(a,b),᪷ÞPᙠßlàÃᦪḄá6âtanAPCEḄqYᑮᐵäbḄæ¼ç_æ¼çè¾Yᑮ*Ḅᙶ᪗rঝ¤484CêÏ┐45஺x¢G,᝞7,ᵫজYìNZCP=45஺*(3),3ᑣᨵCPLCG.Ñ*V*”_Ly“᧕ðñGOCs/\C஻P,᪷Þ¢ôP:UḄឋöYnoG஺¿ᑮGḄᙶ᪗ᯠᵨøÂùᦪ½noCGḄ_᪆>ᯠCGßlàÃᦪḄ_᪆>èᡂ¼çèûüaᑮᐵxḄ¼çýᵨ᪷Ḅᑨÿᑨᑮᦪ᪷ᙠ.*ூ1௃•᝞4,ᙠRr/UBC)ZC=90°,ZJ5C=30°,*23C85஺;BD=B4,784Z).:NC=1,ᑣ80==1=2,5c=6.DCDB+BC2+5/3r~•>tan/£MC=tan75°=---=---------=-------=2+v3;*ACAC1ூ2௃“᝞5,*⎟ᙠᔣ)AB=^AC2-BC2=V602-302=3073-sinN84C=R=S=]AC602I.ZBAC=300*

23ND4c=45°,"NDZ8=45°+30°=750*ᙠW/Xᨴ5஺)tan/D/B=——,*ABDB=AB-tan/DAB=3073•[2+\]=60G+90-DC=DB-BC=60O+90-30=6073+60*_`aᵯcᛞCOḄghi[60ḕ+60]kl*ூ3௃*জnopqC⌮┐tu45஺vwxypz{|P,᝞6.}C~CD"x}~E_LC£]|E,}4~/LCD|F.”yXx=4x=-2ீb-lᡈ%=-2'•(4,1),8(-2,-2).*|y=gx-l,x=0y=-1,"ᑣC(0,-1),OC=\,*lCF=4,AF=1-(-1)=2,"AF21/.tanZACF=---CF42tanZPC£=tanQ/ACP+/ACF)«=tan(45°+ZJCF)”tan45°+tanZ.ACF.1-tan45°tanZACF

241+-#.1--2=3,*PEHnᓽ——=3.*CEab=4:Ḅᙶ᪗i(஻b),ᑣᨵ+134a=-1[a=—ᡝ3b=34.•.Ḅᙶ᪗i[-1,-4]ᡈ[3]l*3ঝnopN2qC┐tu45஺vwXz{|G,᝞7,*74ᵫজ¢£N4CP=45஺P(-,3),ᑣCP_LCG.}~|"*ᑣ/GOC=/CHP=90°,ZGCO=90°-ZHCP=ZCPH,"MGOCsXCHP,".GOOC,ஹ4CH=3-(-1)=4,PH=-,0C=\,«3GO_1_3Z.¦4§«3GO=3,G(-3,0).*:opCGḄ᪆iy=+"—3k+6=0ᑣᨵ:b=-\

25k---3,"b=—l...opCGḄ᪆iy=-gx—l.1,y=——x-1-1ὶ¬/4y=-X41®y,=—x-1,“x3᦮ᳮX2+3X+12=01■•••X=32-4xlxl2=-39<0."²ᨵᦪ᪷".••Pᙠ."³´ᡠ¶opqCtu45஺v·wxypz{{PḄᙶ᪗i(-1,-4)ᡈ4(-,3)..3¸⚪º⌕ὃ½¾┦ÀÁÀÂᦪḄÃஹÀḄÁÀÂᦪÄஹÅ(Æ)ÀÇᑗÉஹᵨËÌᦪÍÎÂᦪḄ᪆ஹÎÏ=ÐÂᦪwÂᦪḄÑḄ{ஹzÒÁÀÓḄᑨwឋÕஹÖ×ᳮஹ᪷ḄᑨØஹᐗÚÛÜ£Ýὃ½¾Þᵨßᨵà⚪Ḅ·ᙠà⚪Ḅ})ᵨᑮ¾ᑖâãäḄᦪåæçᵨᑮ¾â=èéḄᦪåÍê⍝ìíîïᳮð(ñºèéwᔠ~{óz)Ḅô⚪.•25.ߣÚÛÂᦪy=x2+mx+nḄÑP(-3,1),öê(-1,0)÷øù|yḄop.•(1)ÎmஹnḄÄl*(2)᝞Âᦪy=kx+bḄÑP,wxz{|A,wÚÛÂᦪḄÑz{|üB,BᙠPḄýþPAPB=15,ÎÂᦪḄ⊤

26ூ௃⚪ᑖ᪆1ᑭᵨ
஻?-3,1ᐭ!"#ᦪ%=%2+஻*+஻+,-.஻/2᪷112!"#ᦪḄ᪆
᪷145ᩩ7ᑭᵨ89:ᑖ:;ᡂ*=>ᳮ8ḄAᙶ᪗ᐭ!"#ᦪḄ᪆
D5Ḅᙶ᪗ᯠGᑭᵨH>IᦪJ-.#ᦪḄ⊤
.[_%=_1⚪᪆1ᵫ⚪N2'm=2,஻=Q2R[9-3m+n-1,2᝞TᑖUVWP,BXxḄᚖ:ᚖ[ᑖU\C,஺,ᑣPC//BD=4PCs"BD,"PCAP,`Qa*,/PAPB=\5,PC=\*11-----=—*BD6'•BD=6dcx2+2x-2=6,*e1=2f=-4hiJ,•W8ᙶ᪗\2,61-3k+6=1,k=1,42%+6=6,b=4,#ᦪḄ⊤
\y=x+4."

2726.᝞TᙠoW஺\ᙊqḄrstqᙊDuᙊvwAEḄxy:zᜧᙊ|}WB,WDᙠᜧᙊ~BDzuᙊᑗ}WF,AFḄ■xy:zᜧᙊ|}WC,CE_LBD.2TDḄ:;.ூᫀ௃᪆*ூ௃⚪ᑖ᪆ᵫAEu஺஺Ḅvw.OA=OE,OF,᪷1ᑗ:Ḅឋ.OF_LBD,ᯠGᵫᚖw>ᳮ.DF=BF,᧕OF஻CE,᪷189:ᑖ:;ᡂ*=>ᳮ.AF=CF,,.ABCD89ᑣ.AD=BC,AB=CD.ᯠGODஹ0C,.AOD0Z\EOC,ᑣ.BC=AD=CE=AE."⚪᪆TDḄ:;ᨵOA=OE,DF=BF,AF=CF,AB=CD,BC=AD=CE=AE.*᝞*AEu஺஺Ḅvw"/.OA=OE.HOF,"/BDzu
DOᑗ}WF,*.•.OF±BD."BDᜧᙊOḄ”/.DF=BF.VCE±BD,./.CE஻OF,".\AF=CF."ABCD89.”.•JAD=BC,AB=CD..VCEAE=OFAO,OF=AO,*.,.AE=EC.*ODஹOC,,VOD=OC,“.,.ZODC=ZOCD.*

28VZAOD=ZODC,ZEOC=ZOEC,".".ZAOC=ZEOC,..,•AOD^AEOC,"/.AD=CE.*ABC=AD=CE=AE."ὃᑗ:Ḅឋᚖw>ᳮ89:ᑖ:;ᡂ*=>ᳮ89Ḅᑨ>zឋo¡ᐰ£¤Ḅᑨ>zឋ5¥.¦⚪§ᔠឋ©ª⚪Ḅᐵ¬Nᦪ®¯Ḅ°ᵨN±²:ḄXJuq³⌕µ.2022-2023
ᓅḕὃᦪ⚗ᓣ⚪

291ஹ⌱⌱ᐳ16⚪^ᑖ42ᑖ1.45mn<01-m>1-n>O>n+m+l,¼½n,m,ḄᜧuᐵInm11A.m<—

30ABC7DA.জঝঞB.জঝটC.জঞটD.জঝঞট6.᝞4
ᙠdᚁḄ⚔gᨵJhᛞ80COḄ/K
CO0jkḄ
ᙠ□ᐝḄ᯿o&
ᛞp஺£ᶇᙠᚁ☢P.89hᛞstuCO=12m,ᛞpv஺E=18m,wxwyḄz{01.6m,|J}~
wxᙠKEᜐ
pᙠᚁ☢P
wyᙠkᙢP
pᙠkᙢP
Ḅpvᑖ2m1m,ᛞ487.ᐵxḄJᐗ᝞2+3x-2=0ᨵMᨵḄᦪ᪷
ᑣ஺Ḅb0A.0B.-1C.-2D.-31x28.x--=3,ᑣ—----=
xx4+\11A.11B.7C.—D.-1179.᝞4
ᙠ5ABCD2;BDPBBE=BC,CEvADKF,AE,¡B¢BG_LAEKG,ADKH,ᑣ&ᑡ£¤┯¦Ḅ0A.AH=DFB.S§G¨EFHG=SADCF+SAAGHCZAEF=45°D.AABH^ADCF10.ᙠ᪥ª«Ḅ¬®¯°±²/
³y᪷´µ¶·¸ᡠ¹Ḅᑖᦪᑴ¢»᝞&⊤¼:kᙳᦪ/¶ᦪ¿ᦪÀ

318.58.38.10.15᝞ÁÂᣵJᑖJᑖ
ᑣ⊤/ᦪ´JÄMᨵÅÆÇᓄḄ0A.kᙳᦪB.¿ᦪC.ÀD./¶ᦪ11.ÈÉAÊËᧇ±ÈÉBÊËᧇÍ1ᐗ
wÎÏ»2ÉAÊËᧇ3ÉBÊËᧇ
JᐳÒ»13ᐗ
᝞ÁQÈÉAÊËᧇxᐗ
&☢ᡠᑡÔḄ0A.2x-l+3x=13B.2x+l+3x=13C.2x+3x+l=13D,2x+3x-l=13312.᝞4
KZ3,Öᙠ×Ø;y=JP
¡K/¢1KC,;Ú஺ÛḄᚖ:kᑖx;0CK8,ᑣÝ48஺Ḅ☢Þ13.᝞4
JdGv10cmḄá⁐ã5äᱏ
JdGv6cmḄæ⁐ã5äᱏ
Jçè⁐Ḅ5äᱏ
éᡂJ:ã5
ᑣáஹæçäᱏḄ☢Þë0A.60cm2B.50cm2C.40cm2D.30cm214.89ACLBCC,BC=a,CA=b,AB=c,&ᑡ45/஺஺îAABCḄïᩩGᡈãGᡠᙠḄ:;ᑗ
ᑣ஺஺ḄóôᜐḄ0a+bD.

3215.᝞4
ᙠ:/0ḄᑁgᨵJö÷ᩚAB,ùúKAû:;A0ᔣ&ö÷}
úKBýþëÿᙢ0Bᔣ᝞ᩚABᜐᑮA'B'ᜐᩚḄA,ḄᑖB.ᙊḄᑖC.ḄᑖD.ᱥḄᑖ16.᝞AD//BC,ADLAB,A,8ᙠyCZx!"#E
2,0,$BC=2CE,ᑣBDx!#FḄ&ᙶ᪗)*+1ஹ23⚪ᐳ3⚪^ᑖ10ᑖ17.,-aஹb)ᨵᳮᦪmஹnᑖ2⊤4Ḅ᦮ᦪᑖ67ᦪᑖ$amn+bn2=4,ᑣ2a+b=.18.ᑭᵨ:;<ᳮ=>ᙠᦪ?@⊤4AḄ#BCD>EFGHᡂ?JKᶇ?MNOPO*QR+STUVWXYᐸ[\)]᦮ᦪ._`Ḅ]᦮ᦪ஻=—b=defPO*?g)JWḄh+>P_ᡠ`Ḅ]᦮ᦪa,b)jᩩlmg?RSOERY஺)o##EpᙠᦪḄ]qNOṺ=90°,ᑣsmOFḄgᓽ)W.

33BᙠE☢Ḅᦪ?O*efPvᨵ⌕xyz{vᨵ⌕xᑏ?}+e~PO*?⊤4WḄ#+ᙠE☢Ḅᦪ?@⊤4WḄ#"Je~PḄ?PO._____I______ττττ______1111A-2-1012345619.᝞#4*2,2+ᙠ#4{4஻ஹ!ᱏgx"#Bi>#4)l⚔#7)lmᙠ7Ḅ{ῪlA4&G,#G{/2&஻᜛,ᑖ2!*:6gx"42,2j#>#)l⚔#7&)lmᙠ4182Ḅ{ῪlA/2&C2...ᢥ¡z¢£¤E¥ᑣῪl¦4GḄ☢§).*ᵨ¨]᦮ᦪ஻Ḅ©ᦪª⊤4+6ஹ79⚪ᐳ7⚪^ᑖ68ᑖ20.᝞ᙠᦪ#A⊤4ᦪa,#B⊤4ᦪb,#C⊤4ᦪc.b¯ᨬ7Ḅ]᦮ᦪ$aஹbUV|a+2|+*c-7+2=0*1+¸¹Oa=,b=.*2+#AஹBஹCº»ᙠᦪ¼½#A>¾¿1ÀᓫÂgÃḄÄÃᔣ¼ÅÆ,#B6#Cᑖ2>¾¿2ÀᓫÂgÃ64ÀᓫÂgÃḄÄÃᔣ¼ᎷÈt¿Ê˽#A#BÌÍḄÎÏ⊤4)AB,#A#CÌÍḄÎÏ⊤4)AC,#BCÌÍḄÎÏ⊤4)BC.ᑣBC=.*ᵨ¨tḄ©ᦪª⊤4+*3+BÐO12AB-3BC|ḄѯᔲÓḼÆÍtḄÕᓄWᦋÕؽᦋÕBÙÚᳮᵫd½vᨵÕBxᐸÑ.-A~~5-----------5-------------1k21.2º»ÜÝḄᏔᦪßàáâ6Ḅãä᝞E⊤OàᦪḄÀᦪ”6S12=1X2224-4=6=2X3

3432+4+6=12=3X442+4+6+8=20=4X552+4+6+8+10=30=5X6(1)½஻=8ÆᑣSḄÑ).(2)᪷D⊤Ḅz¢ëìOᵨ஻Ḅªí⊤4SḄîª)OS=2+4+6+8+…+2W=.ব᪷D⚪Ḅz¢x102+104+106+108+…+200ḄÑ.(⌕ᨵó)22.)ôõö᪥øᦻᓄú£ûüᐰ☢þÿ.ᡃᙠᐰ“ஹஹ᫥᪥3ᨴ᪥!“᫥”#ᖛ%&%&ᡂ()*+A,B,C,D,E3456᪥7ᑖ9:;!᪥Ḅ%&=>%&?@Aᑴᡂ᝞DEFGᨵI᦮ḄKLMN᪷PMQRSTDᑡV⚪.(1)[᪥:;\]“᫥''#ᖛ%&Ḅ9_ᦪa(2)[ᡧdKLMB56ᡠfgᡧdḄᙊijkᦪa(3)lmA56Ḅ4o9ᨵ1oᵱ93o᝕9rstu⌱w2o9x+ᐰ᪥yzḄ{ὅN~ᵨᑡ⊤ᡈ᪛MḄ[ា⌱1oᵱ91o᝕9Ḅᭆ᳛.23.᝞MᙠdABCDAB=2DA,A+ᙊiAB+ḄᙊDCE,ADḄF,DA=2.(1)[ECḄ(2)[M▢7ᑖḄ☢.24.AஹBE¡¢£¤s¥¦330ᓟ©Ḅᵬஹ«Eᙢ¥ᔣ®s(ᓟ©)⊤{¡¢°ᵬᙢḄ¦±t(ᑖ)⊤{¡¢³Ḅ¤´᝞MLi,L2ᑖ·⊤{E¡¢Ḅs°tḄᐵ¹.(1)L,⊤{º¡¢ᑮᵬᙢḄ¦±°³¤´Ḅᐵ¹¼(2)¡¢BḄ½k¾¿À¼

35(3)[LiL2ᑖ·⊤{ḄE¡¢Ḅs°tḄᐵ¹Á.(4)2¤ÂE¢¥¦¿Àᓟ©¼(5)³¿¤´ÂAஹBE¢¥⍗¼25.᝞M1,ÄÅdABCD¾ÆdG¾CDÅÇḄÈ4É(G°CஹDGᨵÊᔠ),CG+ÈÅᙠÆdABCD᜜xÆdCEFG,ÍÎBG,DE.(1)জÐÑM1BGஹDEḄkᐵ¹ÒᡠᙠÓḄÔÕᐵ¹GᨵÖ×Øaঝ>M1ḄÆdCEFGÚḼCᢥݤ┐ᔣßàtujka,áᑮ᝞M2âd.N~ãäåæஹçè5ᑨêজáᑮḄ?ë¾ᔲíᯠᡂï=×Ø~Ḅᑨê.(2)>ð⚪Ædᦋ+d(᝞M3ஹ4),òAB=a,BC=b,CE=ka,CG=kb(a/b,k>0),ó(1)⚪জáᑮḄ?ëºôᡂïºôGᨵᡂï¼õᡂïM4+ö÷⌕ùØᳮᵫ.(3)ᙠó(2)⚪M4ÍÎDGஹBE,òa=3,b=2,k=y,[BE?+DG2Ḅü.26.ýmþᱥy=ax?+ax+b(a/0)
y=2x+mᨵᐳM(1,0),a

361b
aḄᐵᱥḄ⚔Dᙶ᪗ᵨaḄᦪ⊤2
ᱥḄ᜜!"N,#DMNḄ☢%
aḄᐵ
3a=-l&'y=-2x
ᱥᙠ)*+▲-G,GஹHᐵ-/01'234GH5y6ᔣ89:tᓫ<
t>0,=4GH
ᱥᨵ>?ᨵ@Ḅᐳ'AtḄBCE.2022-2023
ᓅḕὃᦪ⚗ᓣ⚪1ஹ⌱⌱ᐳ16H⚪'Jᑖ42ᑖ஻+QḄᜧHᐵS1.EMlmn<0M1-m>1-n>0>n+m+l,LMn,m,,)nm1111A.m<—1-n>0>n+m+l,_`mVn,m+n>-Lm<0,0ni.ᎷbcᔠᩩfḄm=-4,n=0.21111gnI!)=5,n+—=0.2----=-------nm420

37ᑣ-4<-'<0.2<520211ᦑm

38ÔÕCᜧ-10ḄØᦪ!"“X10"ḄÛÜÝ10,஻"᦮ᦪ'ßà!ᦪÓáâÑÒ!ᦪÓ.4.äᑡåæçḄ᪗è'S601oḄSD.ூUVWᫀ௃Cூᑖ᪆௃᪷´601oḄᭆíᑨïᓽ_.ூZ[௃[Aஹ?ᨵS601o'?ᨵᔠ⚪8ஹ?ᨵS601o'?ᨵᔠ⚪CஹS601o'cᔠ⚪஺ஹ?ᨵS601o'?ᨵᔠ⚪ᦑ⌱C.⚪ὃḄS601oḄᭆí'ᑨï601oḄᐵóSô016'o>õᑖᢚ÷®_øᔠ.5.᝞o'ú`Z8ஹü/Cᡠþ'Z8//CD,E
ZCEᨵᙠ
48,8=^DCE=p.ᑡᔜজa+£,ঝa-஺,ঞ#a,ট360஺-᜛-£,/NECḄ.ᦪ01জঝটC.জঞটD.জঝঞটூ567ᫀ௃Aூᑖ᪆௃᪷>Eᨵ3?01@AᑖBCDEFGH>IEḄឋKLMNOP᜜OឋKDERSTUᓽ0.ூWU௃U1᝞Zᵫ/8஻CO,`aN4OC=NDCEi=6,"ZAOC=ZBAE+ZAEiC,l

39Z.AE\C=fi-a.(2)᝞ZabcIEᑣᵫ0eNl=NA4E2=a,N2=NDCE*p,Z.AEiC=aJrfi.(3)g£ᙠCDḄhijᳮ0eZAEC=a-[i.lᡠnN/ECḄ.ᦪ01o£-a,ag,a-p.ᓽজa+4ঝa/,ঞqᡂs.ᦑ⌱A.v⚪x⌕ὃ{|IEḄឋKḄ}ᵨU⚪i
IEj@O
IE,ᑁ┯O.6.᝞ZᙠᚁḄ⚔ᨵᛞBCZ)ḄCDIḄᙠ□ᐝḄ᯿ᛞ஺Eᶇᙠᚁ☢.ᛞCO=12m,ᛞDE=18m,Ḅ¡¢q1.6m,ji£¤ᙠEᜐ¦ᙠᚁ☢¤ᙠIᙢ¦¨ᙠIᙢ©Ḅᑖªo2m1m,«¬ᛞ¢48o()

40A.24mB.22mC.20mD.18mூ567ᫀ௃Aூᑖ᪆௃a஺᪀⌼¯P°ᛞ¢ḄᑖUoIᙢḄ5஺ᚁḄ஺E.ᯠ³᪷>Ḅ´ᑖªTe4G,G8°¶·¸ᓽ0.ூWU௃Ua஺c஺¹CD,%AE&hF,a¹cFGL/8,ᚖ½oG..,.£>F=£)£x1.6-2=14,4(m).GF=BD='CD=6m.AG1.6i,:~GFT.,./G=L6x6=9.6(m).4.4+9.6=24(m).7ᛞḄ¢.o24m.ᦑ⌱A.7.ᐵÃxḄᐗÅÆhÇL2+3*-2=0ᨵÉᨵḄÊᦪ᪷ᑣ”ḄÌ0L()A.0B.-1C.-2D.-3ூ567ᫀ௃BூWU௃•••ᐵÃxḄᐗÅÆhÇax2+3x-2=0ᨵÉᨵḄÊᦪ᪷,...A>0ÎÏ0,ᓽ32-4”(-2)>0ÎÐ0,Uea>-JΰÓ8

41ᦑ⌱B.v⚪ὃ{|᪷ḄᑨªÕÖ}ᵨᑨªḄ×U⚪ḄᐵØ.12x8.Ùx--=3,ᑣ()x%4+111A.11B.7C.—D.117ூ567ᫀ௃C1141ூᑖ᪆௃ᐜᵫX--=3jiIhÛPo/+==11,DÜÛPo=Å=11,ÝÜeU.ூWU௃UX•2r11cx~+2x>—I——=9XXx2-\—-=11,Xd+l=11,X2.X21«-----=--x4+l11ᦑ⌱c.ß⚪⌕}ᵨàᐰIh×DEÛP,᪷>a2+b2=(a+b)2-2ab°âÛoV+Å=11,ãäᑖ,xãå᎔ᦪ.᧕┯èé¸ᦪêḄ2ë.9.᝞Zᙠ5hPABCDìOBDíåBE=BC,îïCEðñòADÃF,îïAE,aBcBG_LAEÃG,òADÃH,ᑣᑡóG┯ôḄ()A.AH=DFB.SõöEFHG=SADCF+SAAGHC.NAEF=45°D.AABH^ADCFூ567ᫀ௃B

42ூWU௃ᑖ᪆ᐜᑨ÷øNDAE=NABH,ãᑨ÷ùADEgZXCDEeø/DAE=NDCE=22.5஺,ZABH=ZDCF,ãᑨ÷øRt^ABHúRtZXDCFÝÜeᑮAஹD56᪷>NOPḄ᜜OTøNAEF=45°,eøC56îïHE,ᑨ÷øSAEFHRSAEFDeøB┯ô.WUBD5hPABCDḄìOAZABE=ZADE=ZCDE=45°,AB=BC,VBE=BC,.AB=BE,VBG1AE,ABHýAEḄᚖ
IᑖZABH=ZDBH=22.5°,ᙠRtZ\ABHZAHB=90°-ZABH=67.5°,VZAGH=90°,ZDAE=ZABH=22.5°,ᙠAADE4CDE.DE=DE-ZADE=ZCDE=45°,AD=CD.,.ùADE^ACDE,ZDAE=ZDCE=22.5°,.NABH=/DCF,ᙠRtAABHRtADCFNBAH=2CDF■AB=CD,NABH=NDCF.••RtAABH^RtADCF,.AH=DF,ZCFD=ZAHB=67.5°,NCFD=NEAF+NAEF,.67.5°=22.5°+NAEF,./AEF=45°,ᦑACD56᝞ZîïHE,

43BHAEᚖ
IᑖAG=EG,SAAGH=SAHEG,VAH=HE,ZAHG=ZEHG=67.5°,ZDHE=45°,NADE=45஺ZDEH=90°,ZDHE=ZHDE=45°,.EH=ED,/.ùDEHῪ
ONOPVEFᨵᚖ
DH,AFH/FD,•,>SAEFH#SAEFD>SEFHG=SAHEG+SAEFH=SAAHG+SAEFH/SADEF+SAAGHᦑB┯ôᦑ⌱B.ÿ
⚪ḄᐵᑨADEgACDE,.10.ᙠ᪥Ḅ!"᪷$%&'(ᡠ*Ḅᑖᦪᑴ.᝞0⊤2:Eᙳᦪ&ᦪGᦪHI8.58.38.10.15᝞45ᣵ78ᑖ978ᑖᑣ⊤ᦪ$7;<ᨵ>?@ᓄḄBDA.EᙳᦪB.GᦪC.HID.&ᦪூKLMᫀ௃DூP
௃5ᣵ78ᑖ978ᑖQ&ᦪ<ᨵRS,ᦑ⌱D.11.WXAYZᧇWXBYZᧇ\1ᐗ^_`.2XAYZᧇ93XBYZᧇ7ᐳb.13ᐗ᝞4cWXAYZᧇdxᐗef0☢ᡠᑡHiKLḄBD

44A.2(x-l)+3x=13B.2(x+l)+3x=13C.2x+3(x+l)=13D.2x+3(x-l)=13ூKLMᫀ௃Cூᑖ᪆௃cWXAYZᧇdxᐗᑣWXBYZᧇd
x+1ᐗᵫ`.2XAYZᧇ93XBYZᧇ7ᐳb.13ᐗᑡHiᓽnoᑮMᫀ.ூP
௃
cWXAYZᧇdxᐗᑣWXBYZᧇd
x+1ᐗᡠq2x+3Bx+l=13,ᦑ⌱C.⚪ὃsḄ7ᐗHiḄtᵨvwᑭᵨyzᐵ{ᑡ7ᐗHi
⚪Ḅᐵ.312.᝞|43,}Dᙠ~^=-/4CJ_xC,04ḄᚖEᑖx0CB,ᑣ480Ḅ☢dBD52τ3A.7B.—C.-D.76324ூKLMᫀ௃A3ூP
௃⚪
᪆•••A(3,m)ᙠ~=—,x.*.3m=3>
om=l,ᓽA(3,1),.\0C=3,AC=1,•.•0AḄᚖEᑖ0CB,AB=0B,/.AB2=(0C-0B)2+AC2,.\AB2=(3-AB)2+l2,5.\AB=OB=-,3

45.I5♦♦SAABO=3BO*AC=—,26ᦑ⌱A.ὃ1.ᦪ{ᦪkḄ2.ᚖEᑖḄឋ¡.13.᝞|78£¤¥d10cmḄ©⁐«¬®ᱏ78£¤¥d6cmḄ°⁐«¬®ᱏ,7±²⁐ḄKH®ᱏ³ᡂ78¬«¬ᑣ©ஹ°¶±®ᱏḄ☢·9()C.40cm2D.30cm2ூᑖ᪆௃᪗º»¼᪷$¶E½¾&¬yznoNB=NAED,ᯠÄÅ4ADE9DF5FF5EFByÈ᪷$yÈ«¬Qt¤ᡂÅ7=—,ᓽ7=—,cBF=3a,⊤ÊBF3BF3EF=5a,Ë⊤ÊBCஹAC,ᑭᵨÍÎ;ᳮᑡHiÅaḄÐË᪷$©ஹ°¶±®ᱏḄ☢·9zᜧ«¬Ḅ☢Ò5KHḄ☢ÓÔᓽno
.ூP
௃
:᝞|•..KHḄ¤DE஻CF,ZB=ZAED,VZADE=ZEFB=90°,.,.ADE^AEFB,.DE_AE_5•EF5••Ú—,BF3cBF=3a,ᑣEF=5a,/.BC=3a+5a=8a,540AC=8ax—=—a,33ᙠRtAABCAC2+BC2=AB2,□40ᓽ(—a)2+(8a)2=(10+6)2,31Q
oa2=—17

46τ40©ஹ°¶±®ᱏḄ☢·9=*72ஹ8"(5a)2,23160,,=-----a2-25a2,3=85T=85T18ã=30cm2.ᦑ⌱D.⚪ὃs᪷$yÈ«¬Ḅឋ¡Å¬«¬Ḅ¶¬¤ᑭᵨ©ஹ°¶±®ᱏḄ☢·9zᜧ«¬Ḅ☢Ò5KHḄ☢Å
ᐵ.14.äåAC_LBCC,BC=a,CA=b,AB=c,0ᑡ|஺஺çAABCḄè¶ᩩ¤ᡈ«¤ᡠᙠḄyᑗᑣ஺0Ḅìídî-Ḅ()a+bூKLMᫀ௃CூP
௃
c஺஺Ḅìídï.A.ð஺஺ZBCᑁᑗᙊ5418ó1(a+b+c)♦klm,.r=———22a+b-hcB.᝞|ôõOD,ö|JOZ>OC=ᔆOA=b-r.øù஺஺஺Ḅᑗ஺஺ùúᓽZAOD=ZC=90°./\ADO^/\ACB.OAAB=ODBC,ᓽ(Z>-r)c=ra,
offabr=-------a+cC.ôõOE,ODZCç5c஺஺ḄᑗOEJ_4C,OOJ_4C,NO£8=NO0C=NC=9O஺,•û¤OQCEü.OD=OE,JüODCEKH:.EC=Og,OE"AC,ab.OEAC=BEBC,Arxb=(a-r)a,a+b

47D.cACஹBAஹ8cç஺஺Ḅᑗᑖýd஺ஹFஹE,ôõ஺£>ஹOE.VAC.BE஺஺ḄᑗZODC=ZOEC=ZDCE=90°,ODCE.'OD=OE,ODCEᓽOE=OC=a>.|4)=/=6-!"#OB,OF,ᵫ%&'ᳮ)*8/=O82-OᡝBE^OB^-OE2.'OB=OB,OF=OE,.BF=BE,c+b-a-.BA+AF=BC+CE,c+b-r=a+r,ᓽr2ᦑ⌱C.23*4⚪ὃ78ᑗḄឋ:ஹᑗ;'ᳮஹ<=ᑖ?ᡂAB'ᳮஹḄᑨ'Dឋ:EFGHIJḄᑨ'Dឋ:.K⚪LMNᜧPQRSᦪUVDWUVḄXᵨ.15.᝞]ᙠ_JNOḄᑁbᨵdefᩚAB,jk2Al_A0ᔣoefpk2Bqrstfᙢl_0Bᔣvef᝞wefᩚx]yABᜐefᑮA'Bᜐ}~efᩚḄyA._ḄdbᑖB.ᙊḄdbᑖC.ḄdbᑖD.ᱥḄdbᑖூᫀ௃Bூ௃⚪ᑖ᪆*"#OCஹOC,᝞]/AOB=90஺CABy2...OC_-AB=LAE=OC',22/.jk2Al_AOᔣoefpABḄy2Cᑮ஺Ḅ';efᩚḄy2CᡠḄd?ᙊ.ᦑ⌱B.

48Acoὃ2*জᙊḄ'Dឋ:ঝ_JIJḄឋ:.16.᝞],AD//BC,4DUB,4,8ᙠyCDDx2E(2,0),/஺=OE,BC=2CE,ᑣBDx2FḄ¡ᙶ᪗()3.45A.-B.c.dD.-3456ூᫀ௃AOFBFECQy¥.᝞]¦OF-a,AD=DE=x,CE=y,ᑣBC=2y,ᑣ...----------ᓽd=-----ADBDCDxx+yEFDE2-axxy=a(x+y),§*--------,BP——=--------2xy=(2-a)(x+y),la(x+y)=(2-a)BCCD2yx+y(x+y)x+j#O,22.".2a=(2-a)))a=—.ᦑ2FḄ¡ᙶ᪗d.ᦑ⌱A.33ூὃ2௃ᐰ©IJḄᑨ'Dឋ:ᙶ᪗D]ឋ:.

491ஹ23⚪ᐳ3⚪^ᑖ10ᑖ17.ª«aஹbᨵᳮᦪmஹnᑖ¬⊤®J7Ḅ᦮ᦪbᑖ°±ᦪbᑖamn+b/F,ij2a+b=_____20ூᫀ௃—3ூ௃ᑖ᪆*³◤✌ᐜ·J7¸¹ºᜧ±x»¼ºᐸ᦮ᦪbᑖm,ᐸ±ᦪbᑖᵨJ7-m⊤®.¾ᑖ¬¿ᐭamn+bMRÁ=¹¼ºm,nḄÿᐭ2a+bᓽ)Äw.**4<7<9,/.2

50.iτττiiiA-2-10123456ூᫀ௃4,2!
"#$᪆
&'஺)ᙊ+,0-.)/012,23ᦪ/Ḅ4ᓽ)஻,#$᪆.ூ7$௃$VV20=V42+22,஺=49=2!
",᝞
,1᝞,&'஺)ᙊ+,஺ᔆ.)/012,23ᦪ/Ḅ4ᓽ)".19.᝞,=(2,2)ᙠ>?-r,@414>?-gxAB,&4)>C⚔,=5)>CEᙠ=FḄGH1IῪ>CK4&G,L@Ci1,2&஻P,ᑖO4>?PXQ-gxAR,&T,&⁐)>C⚔,ᔊ)>CEᙠ=ᔊḄGH1IῪ>CK&஺2...,ᢥXYZ[\],ᑣIῪ_CḄ☢`).(ᵨc᦮ூᑖ᪆௃ூ7$௃$=(2,2),4S஻y4>?A8,.Bi(2,1)'.A\B\=2-1=1,ᓽKNiBiG☢`=gx12=g!

51A\C\=A\B\=X,.A(3,3),2e,•,Rᔊ஻^,4>?-Aᕒ,,3ஹ&(3,j),23339!.71282=3--=—,ᓽK/I282C2☢`=X(—)2=—!22228&Xlm,91981AsB-i=jᓽK/4383c3☢`=:x(-)2=—.4243227]27729AAB4=——ᓽK/4&C4☢`=px(--)2=——!82812831332"-2.A„=(-)«->,ᓽK4GḄ☢`=x[(-)".22222"-'ஹ$⚪(ᐳ7=⚪,vᑖ68ᑖ)20.᝞,ᙠᦪA⊤ᦪa,B⊤ᦪb,C⊤ᦪc.bwᨬ=Ḅ᦮ᦪ,yaஹbvz|a+2|+(c-7)2=0(1){|a=,b=.(2)AஹBஹC}~ᙠᦪ,A&1ᓫ.Ḅᔣ,,BQCᑖO&2ᓫ.Q4ᓫ.ḄᔣG,Ꮇt@,A3BḄ⊤)AB,A3CḄ⊤)AC,B3CḄ⊤)BC.ᑣBC=.(ᵨctḄᦪ⊤)(3)12AB-3BC|ḄwᔲḼtḄᓄᦋᦋ,¡¢ᳮᵫ!¥ᨵ,§ᐸ.-A------S--------------V--------"ூᫀ௃(1)-2,1!(2)2t+6!(3)¥ᨵ,ᳮᵫ#$᪆.ூ7$௃ᑖ᪆(1)ᑭᵨ|a+2|+(c-7)2=0,ªa+2=0,c-7=0,$ªa,cḄ,ᵫbwᨬ=Ḅ᦮ᦪ,«ªb=l!(2)ᑭᵨ⚪¬ᦪ⊤BஹCT⊤Ḅᦪ,[«ªBCḄ.!(3)ᑭᵨ⚪¬ᦪ⊤AஹBT⊤Ḅᦪ,[«ªABḄ.,ᵫ12AB-3BC|=|2(3t+3)-3(2t+6)I§$ᓽ«.7$:(1)V|a+2|+(c-7)2=0,

52.*.a+2=0,c-7=0,$ªa=-2,c=7,bwᨬ=Ḅ᦮ᦪ,b=l!(2)BC=2t+6!(3)¥ᨵ.AB=t+2t+3=3t+3,|2AB-3BC|=|2(3t+3)-3(2t+6)|=|6t+6-6t-18|=12,ᦑ¥ᨵ,~À)12.ᦑᫀ)-2,1!2t+6.Á(1)ᦪTḄ⊤ÂÃ)ᦪT)(XI,0)ஹ(X2,0),ÆTḄ)h,ᑣᨵh=|xÉX2|;(2)ËÌᦪḄឋÎÏËÌᦪḄQ)0,ᑣÆÏËÌᦪḄÐ0.21.Ñ2}~,ÒÓḄᏔᦪÕÖ,×ØQḄÙÚ᝞⊤ÖᦪḄᦪ஻QS12=1X222+4=6=2X332+4+6=12=3X442+4+6+8=20=4X552+4+6+8+10=30=5X6(1)9=8,ᑣSḄ)(2)᪷ß⊤àḄYZáâᵨ஻Ḅã⊤SḄä)S=2+4+6+8+…+2஻=(3)᪷ß⚪ḄYZ§102+104+106+108+-+200Ḅ.(⌕ᨵ@ç)ூᫀ௃(1)72!(2)n(M+1)!(3)7550.ூᑖ᪆௃(1)᪷ß⚪¬«ªQS3Öᦪᦪ஻ḄYZ,ᐭ஻=10ᓽ«!(2)᪷ß(1)ªḄYZ«ªᫀ!(3)êᓄ)(2+4+6+...+98+100)-(2+4+6+...+48+50)$.ூ7$௃$(1)ìí«ªÑ2}~,ÒÓḄ஻ᏔᦪÕÖ,×ØQS="("+l),

53ᑣî஻=10,5=10x11=110!(2)ᵫ(1)«ªS=n(n+1)!(3)52+54+56+...+98+100=(2+4+6+...+98+100)-(2+4+6+...+48+50)=50x51-25x26=1900.22.)ðñò᪥ôᦻᓄ,ö[÷Rᐰ☢ùú.ᡃüýþᙠᐰþà=÷}ú“
ஹஹ᫥᪥3ᨴ᪥“᫥”ᖛᡂ!A,B,C,D,E)*+,᪥-ᑖ/012/᪥Ḅ45678ᑴᡂ᝞;<=>ᨵ@᦮ḄBCDE᪷GDHIJKL;ᑡN⚪.Q1ST᪥12UV“᫥''ᖛḄ/0XᦪZQ2STᡧ]BCDB+,ᡠ_`ᡧ]ḄᙊbcdᦪZQ3SefA+,Ḅ4h/0Hᨵ1hᵱ03h᝕0klHmn⌱p2h/0q!ᐰ᪥stḄuὅExᵨᑡ⊤
ᡈ|᪛~DḄ
Tា⌱1hᵱ01h᝕0Ḅᭆ᳛.ூLᫀ௃Q1S50ZQ2S115.2°ZQ3Syூᑖ᪆௃Q1SᵨA+,ḄXᦪ◀ᐸᡠᓰᑖᓽTUVḄ/0XᦪZQ2SᐜTB+,Ḅ/0XᦪᓽTB+,ᡠ_`ᡧ]Ḅᙊbcdᦪ;Q3S✌ᐜᑡ⊤ᡠᨵ+Ḅ67ᑭᵨᭆ᳛¡ᓽTLᫀ.ூ¢K௃K£Q1S12UVḄ/0ᨵ£4+8%=50QXSZQ2SB+,Ḅ/0ᐳᨵ£50-4-20-8-2=16QXSᡠᓰḄᑖ!£16+50=32%,•••B+,ᡠ_`ᡧ]Ḅᙊbcdᦪ!£360°x32%=115.2°,Q3Sᑡ⊤᝞;£ᵱ᝕1᝕2᝕3ᵱ---Q᝕1.ᵱSQ᝕2,ᵱSQ᝕3,ᵱS

54᝕1Qᵱ᝕1---Q᝕2,᝕1Q᝕3,᝕1᝕2Qᵱ᝕2Q᝕1,᝕2---Q᝕3,᝕2᝕3Qᵱ᝕3Q᝕1,᝕3Q᝕᝕᝕3---•.•ᐳᨵ12+Ḅ67⌱H1hᵱ01h᝕067Ḅᨵ6;.PQ⌱H1hᵱ01h᝕0S.122U⚪ὃ¯ᩩ]BCDஹᡧ]BCD±T•EC=CD-DE=4-2Z/ஹ,AD1
2VsinZDEA=-----=—,AE2AZDEA=30°,.\ZEAB=30°,

55...DH▢Ó-ᑖḄ☢Õ!:90^x41/T30èx4_8èS⇼ìFAB-SADAE-SîìEAB=———---x2x2v3---———=——27336023603BÂ⚪ð⌕ὃ¯ᡧ]Ḅ☢ÕCò±ÜÝᳮ┦càcáᦪᐵâ+fó᪷GefDEḄÎÀK⚪ᐵÅ.24.AஹB<ôõö÷ølùú330ᓟüḄᵬஹþ<ᙢᔣsᓟ⊤ᵬᙢḄtᑖ⊤Ḅ᝞Li,Lzᑖ⊤!"ḄstḄᐵ$.1L,⊤'"ᑮᵬᙢḄḄᐵ$)2BḄ,-./0)32LiL2ᑖ⊤Ḅ!"ḄstḄᐵ$3.4256!/0ᓟ)5/86AஹB!⍗)ூ=>?ᫀ௃1Li⊤BᑮᵬᙢḄḄᐵ$B2BḄ,-.1.5ᓟ/ᑖB3si=-1.5t+330,s=t;4256!30ᓟB5132ᑖI2AஹB!⍗.ூJK௃L⚪ᑖ᪆O1PQ᪷STᦪVḄWᔣX⚪YZ[\⊤8ᑮᵬᙢḄḄᐵ$B2ᵫL_60ᑖIᜐbḄᙶ᪗Z[efXg2h,-B3ᐜᑖjkTᦪᑭᵨTᦪV_Ḅn[boᵨpq$ᦪrZ2hTᦪK᪆3B43sTᦪV2h1=120sḄtuvᓽZ2KB52kTᦪVḄxbᙶ᪗ᓽZ2K.

56L⚪K᪆O1TᦪyZ[8.ᵫzᙢ{|ᵬᙢᦑ~⊤8ᑮᵬᙢḄḄᐵ$B2330-240-60=1.5ᓟ/ᑖB3tLiCSi=kt+b,b0,330,60,240ᐭhA:=-1.5,6=330.ᡠ௃=T.5f+330Bj\$2=஻஺b60,60ᐭhk'=\.ᡠ52—t.4£=120,5,=150,$2=120.330-150-120=60ᓟ;ᡠ256!60ᓟB5S]=$2,-1.51+330=Kh"132.ᓽ132ᑖI~ஹ8!⍗.25.᝞1,yABCD.=yG.CD_ḄbbGCஹDᨵᔠ,CGᙠ=yABCD᜜=yCEFG,£QBG,DE.1জ¥¦1s§¨BGஹ§¨DEḄ8-ᐵ$©ᡠᙠP§Ḅª«ᐵ$ᨵ¬®Bঝ°1sḄ=yCEFG±ḼbCᢥ´┐ᔣ¶·¸Y¹-a,hᑮ᝞2»y.¼½¾¿ÀÁஹÂÃÄrᑨÆজshᑮḄÇÈ.ᔲÊᯠᡂÍή½ḄᑨÆ.2°Ï⚪s=yᦋÑy᝞3ஹ4,ÒAB=a,BC=b,CE=ka,CG=kba#k>0,×1⚪জshᑮḄÇÈ'ØᡂÍ'ØᨵᡂÍ)ÙᡂÍ4ÚÛ⌕Ý®ᳮᵫ.

57
3ᙠ×2⚪4s£QDGஹBE,Òa=3,b=2,k=y,2BE?+DG2Ḅt.ூ=>?ᫀ௃1জBG_LDE,BG=DEBঝBG_LDE,®ßK᪆B2BG_LDE,®ßK᪆B316.25.ூJK௃ᑖ᪆O1জ᪷S=yḄឋáâᯠã¹yBCG´┐¶·90°ᓽZhᑮã¹yDCE,gᑨÆ!ᩩP§åḄᐵ$Bঝ=yḄឋá᪷SSASÊᯠæçᑨq4BCGèZ\DCE,g®ÇÈB2᪷S!ᩩéêḄëÄÒᜳ¹ÄZᑨq_í!ã¹yîgZhᑮ1sḄª«ᐵ$ÊᯠᡂÍB
3£QBEஹDG.᪷SïðqᳮᓽZBE2+DG2·ᣚ!ÑyḄ8ஹòóX.JKO1জBG_LDE,BG=DEBঝOyABCDXyCEFG.=yB.BC=DC,CG=CE,ZBCD=ZECG=90°,.,.ZBCG=ZDCE,.,.ôBCG^ADCE,ABG=DE,ZCBG=ZCDE,XVZCBG+ZBHC=90°,AZCDE+ZDHG=90°,-.-.BG±DE.
2VAB=a,BC=b,CE=ka,CG=kb,.BC_CG_b"'~DC~~CE~~a'õONBCG=NDCE,.".ôBCG^ADCE,.".ZCBG=ZCDE,õ•.,/CBG+NBHCng஺஺.,,ZCDE+ZDHG=90°,ABG1DE.

58(3)£QBEஹDG.᪷S⚪YhAB=3,BC=2,CE=1.5,CG=1,VBG1DE,ZBCD=ZECG=90°.,•BE2+DG2=BO2+OE2+DO2+OG2=BC2+CD2+CE2+CG'2=9+4+2.25+l=16.25.böO÷⚪øᔠùᵨúᐰÄã¹yḄᑨqXឋáஹîã¹yḄᑨqXឋá©ïðqᳮ.26.n[üᱥ§y=ax?+ax+b(aWO)P§y=2x+mᨵþᐳM(1,0),
a0),90GHᱥᨵ;<ᨵ=Ḅ>ᐳ#@tḄABD.ூGHIᫀ௃(l)b=-2a,⚔DḄᙶ᪗(-1#--a)(2)-----------------a.(3)2

59MஹNḄ8f#gh1,᪷b☢!RSADMNḄ☢!ᓽR(3)ᐜ᪷baḄBHeᱥḄQ᪆#gUh2,ᐜὶZ_`jRSkGHᱥlᨵ>ᐳ"#tḄB#mHek0nᙠᱥ4"#tḄB#RSo0GHᱥᨵ;<ᨵ=Ḅ>ᐳ"tḄABD.ூpQ௃Qo(1):ᱥy=ax2+ax+bᨵ>ᐳM(1,0),.,•a+a+b=0,ᓽb=-2a,]9Q/.y=ax2+ax+b=ax2-i-ax-2a=a(x+y)2"-,•••ᱥ⚔DḄᙶ᪗(4-24(2);y=2x+mM(1,0),0=2x1+m,QSm=-2,y=2x-2,[y=2x—2ᑣ2r#[y=ax+ax-2aSax?+(a-2)x2a+2=0,(x-1)(ax+2a-2)=02QSx=lᡈx=——2,a24Nᙶ᪗(--2,--6),aaVa

60E(-y,-3),ஹ/24ஹVM(1,0),N(--2,--6),aawADNINḄ☢!S,,i/2ஹ9஺#ஹ27327..S=SADEN+SADEM=7I(—-2)-(-3)|=--------------a,2a44a8(3)ka=-l"#i9ᱥḄQ᪆oy=-x2-x+2=-(x+)2+—#24-2,y=~x-x+2ᵫீ#y=-2%-x2-x+2=-2x,QSoX]=2,X2=l#AG(-1,2),,GஹHᐵ)+,-#AH(1,-2),wGH56|ḄQ᪆oy=-2x+t,-x2-x+2=-2x+t,x2-x-2+t=0,=l-4(t-2)=0,9t=—,4kH56|}ᙠᱥ4"#ᙶ᪗(1,0),O(1,0)ᐭy=-2x+t,t=2,9k0GHᱥᨵ;<ᨵ=Ḅ>ᐳ#tḄABD~2

61⚪&^ᦪḄᔠᵨ#ᦪh'Ḅஹ&^ᦪḄឋஹ᪷ḄᑨஹḄ☢!.ᙠ1ᵫMḄᙶ᪗SᑮbaḄᐵ~Q⚪Ḅᐵ#ᙠ2ὶZ;ᦪQ᪆#Sᑮᐵ)xḄᐗ&^_`~Q⚪Ḅᐵ#ᙠ3SGHᱥ;Ḅᑖ~Q⚪Ḅᐵ#⚪ὃ¡#ᔠឋ¢#£¤ᜧ.