2022-2023学年广东省恩平市数学九年级上册期末综合测试模拟试题含解析

《2022-2023学年广东省恩平市数学九年级上册期末综合测试模拟试题含解析》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
ᦪᔁ⚗1.ὃ⌕ᑏὃ஺2.⚪ᡠᨵᫀ"#$ᡈ&ᑏᙠ⚪ᓱ)ᙠᔁ*+ᦔ஺-./ᑖ"#ᵨ2B23*4-5/ᑖ"#ᵨ6⁐89Ḅ;83*஺3.ὃ<=>)ὃ#?ᔁ⚪ᓱ@ᙠA☢)CDὃᕒᦈG஺.ஹ⌱J⚪KLM⚪3ᑖ)ᐳ30ᑖO1.PQRSTUᦪy=-V)Wᑡ3D.ᙠL.ja▲ᑁ)
'mxnḄoᜧqoᜧ2.PQRtAABC,ZACB=90°,BC=10,AC=20,dDstuZd)vwCD,^ABCDCDJTWAB'CD,BDDExACedE,ᑣyḄnsKOZ7D»C.@D.3.᝞`).ᩩ|ᱥ~xxeAஹ5dKdAᙠd5ḄO)ᐸ⚔dᙠ~MN.hdMஹNḄᙶ᪗ᑖs-1,-1
ஹ2,-1
,d5Ḅᙶ᪗Ḅᨬᜧns3,ᑣdAḄᙶ᪗ḄᨬMns
4.᝞`)4x2Ḅ\ḄZ)ᙠA,B,C,DfjdZ⌱jd)ᡂῪḄᭆ᳛s
C

1_1_C.2345.᝞`)PQfuABC஺^fu)Wᑡ

2A.8B.9C.11D.12210.ÊeRSTUᦪ/=-.)WᑡÍÎ[\]Ḅ^KOxA.`aᑖÏᙠ-5ஹfa▲B.¡Ð0£))'mxḄoᜧqoᜧC.`abcd1,-2
D.hdAK᳝,yj,8Ó,ÔOÕᙠ`a)ÉÖ×Ø2ᑣx"5ஹÙ⚪KLM⚪3ᑖ)ᐳ24ᑖO11.☢Úᙶ᪗ÛZ)dA,5Ḅᙶ᪗ᑖ^42,4
,53,0
,ᙠ-.a▲ᑁÜÝdOsÞZ»)ß045àMsÝᩭḄ1,ᑣdAḄÊâdA'Ḅᙶ᪗s.12.ᨵã◀å⁐᜜)ᜧMஹçèᐰêḄᓱᱏ)-.ãᓱᱏ☢Õ^ì⁐)-5ãᓱᱏ☢Õ^í⁐)-ãᓱᱏ.☢^ì⁐).☢^í⁐)ᵨîïðᑖߤñòóô)hõᐸZḄ.îïð)ᑣöᑮḄ½ãᓱᱏ☢Õ^ì⁐Ḅᭆ᳛^.13.M÷êø0,1,2,3½fjᦪZ⌱.jᦪ)ùú[ûx+l2Ḅᭆ᳛^.14.᝞`)ᙠ¥ABCDZ)AB=4,BC=8,?¥üÊ~BDᢚþ)ÿC
ᙠEᜐBEADF,ᑣBFḄ.15.᝞ᡠᙊ0ḄAB=4,Bᙊ2Gᙊ0C,ABD,ᑣ▢ᑖḄ☢.16.᝞,ᙠRtAABC,ZBCA=90°,ZBAC=30°,BC=4,"R3ABC#A$%┐'(90஺*ᑮRtAADE,ᑣBC,-Ḅ▢☢..

317.ᙠᦪ-1ஹ1ஹ22345ᦪ6789:Ḅᙶ᪗ᑣ=>?ᙠ.@AᦪB=%-2EḄᭆ᳛18.HIJḄKLMஹNO⚪6ᐳ66ᑖ:19.10ᑖ:RSTᘤᩞWX├Z.[\]◤_`ᜧḄbcdefghideḄjk40ᐗm├-nop├Zqy6ri:s├Zᓫkx6ᐗ:uᙠ᝞ᡠḄ.@Aᦪᐵwhx├Z=[deḄyz{z6rᐗ:67|jk:sx├qy6ri:uᙠAᦪᐵwz=10y+42.1.}6ri:321•o-1030507090110ஹ67Ui:1_yᐵxḄAᦪᐵw2ᑏp=WX├Z=[dexᑭw6rᐗ:ᐵ├Zᓫk6ᐗ:ḄAᦪᐵw6xᑭ=x├Zy.x├ZdeḄyjk.xyz{:├Zᓫkx%xᑭᨬᜧ?ᨬᜧ3WX=de.xḄ├Zᑭ717.1rᐗᑭᵨ2⚪ḄAᦪE=WX[deḄ├ZᓫkḄ.ᙠᩩi¡⌕£deḄ├Zqᨬᜧ¤├Zᓫk¥ᐗ20.6ᑖ:ᙠ¦ABCZC=90\§AB¨.஺ᙊOAḄᙌsBCªᑗD,ᑖ¬AB,ACE,FI᝞জ®¯AD,NCAD=25"%_NBḄᜧH᝞ঝFA஺Ḅ஺஺Ḅ2,_ABḄ.

4cCDDOজঝ21.(6ᑖ)᝞aOAP²Ὺ´M´µNOAP=90஺Aᙠ¶·E▲Pᙶ᪗(8,0),¹ᱥ»y=ax?+bx+cm-¼O½AஹP4.(1)_¹ᱥ»ḄAᦪᐵw.(2)By¾¿¾¨.®¯AB,-BABḄᚖ»¹ᱥ»CஹD4ÁBC=AB,_Bᙶ᪗;(3)ᙠ(2)Ḅᩩi¡M»ÃBC¨.-Mx¾Ḅᚖ»¹ᱥ»N,_4CBN☢Ḅᨬᜧ.22.(8ᑖ)᝞"§40cmḄ¿ÄµÅÆÇḄ·5´ᔜÉᣵ.5Ë᪵ᜧḄ¿ÄµᒕÎᑖᢚᡂ.5ÑÒḄÓÔ.(ÆÇḄÖ×Øᶍ7H).(1)=ÑÒÓÔḄÚ☢90()c"?2,_ÉᣵḄ¿ÄµḄ§(2)_ᢚᡂḄÑÒÓÔḄÛ☢Ḅᨬᜧ.23.8ᑖ:HIÜ-22+tan45°+|-l-2sin30°|24.(8ᑖ)fgÜ᝞"AOE#A$%┐'(*ᑮABC,EÝ¥CាᙠOḄß»¨BC//AE._àÜA3O²§M´µ.

5A25.(10ᑖ)ᙠá☢´ᙶ᪗wO(0,0),A(-3,0).fg¹ᱥ»y=-x2+2mx+3(mâᦪ)⚔P.(1)¹ᱥ»m-A%⚔PḄᙶ᪗(2)ᙠ(1)Ḅᩩi¡¹ᱥ»sx¾Ḅä.5B,sy¾C.Q»AC¨Ä¹ᱥ»¨.å.জ᝞1,®¯QAஹQC,_AQACḄ☢ᨬᜧঝ᝞2,NCBQ=45஺_p%Qᙶ᪗.k26.(10ᑖ)᝞¹ᱥ»y=o?+᱐(஺ç0)sèé»ê=.ªAஹB,fgAᙶ᪗(1,4),8ᙠ¶xME▲ᑁÁA4OBḄ☢3(஺ᙶ᪗¼).(1)_ìᦪ"ஹbஹîḄ(2)ᙠ=¹ᱥ»ḄÝﾨᔲuᙠP£*APO8²ῪM´µuᙠ_pᡠᨵḄPḄᙶ᪗7uᙠòóᳮᵫ.(3)ᙠᙶ᪗wᑁᨵ.5ា£*==ö⌕_ᙠ)’¾¨øp஺£*A5QMḄᕜᨬ_

6'MḄᙶ᪗+kBQMᕜ-Ḅᨬ/0.úὃOᫀ1ஹ⌱4⚪(7/⚪3ᑖ%ᐳ30ᑖ)1ஹCூᑖ᪆௃A.>x=3?ᐭABCDᦪ%᪷GᡠIJḄy0ᓽLᑨNOB.᪷GABCDᦪḄk0ḄPQᓽLᑨNOC.RᔠABCDᦪḄTU+ឋWᓽLᑨNOD.᪷GABCDᦪḄk0ḄPQᓽLᑨN.ூXY௃YZA.[x=3\%y=--=-2,ᦑDᦪTU^_`a(3,-2),A⌱⚗PcO3B.ᵫABCDᦪḄeᦪk=-6V0,JᑮABCDᦪTUghijஹkU▲%m⌱⚗PcOc.ᵫABCDᦪTULnZ[X<-2,ᑣy<3,ᦑm⌱⚗pPcOD.ᵫABCDᦪḄeᦪk=-6<0,JᑮABCDᦪTUᙠᔜsU▲ytxḄuᜧwuᜧ%ᦑm⌱⚗Pc.ᦑ⌱ZC.ூax௃m⚪ὃzABCDᦪḄឋW%ABCDᦪy=8(®0),[k>0\%TUghi1ஹ{U▲%|ᙠ71}U▲%ytxxḄuᜧw~/O[kVO\%TUghijஹkU▲%|ᙠ71}U▲%ytxḄuᜧwuᜧ.ᙠm⚪Ḅ\᎛L᪷Gk0'DᦪḄᜧT%RᔠTUᑖ᪆.2ஹAூᑖ᪆௃᝞T%`aBBH_LCDhH,`aEEF_LCDhF,ᵫᳮLIABḄ-%ᵫ┦{DᦪLIBH,CH,DHḄ-%ᵫᢚḄឋWLJNBDC=NBDC,SBCD=SCB'=50,ᑭᵨ┦{DᦪLIEF=3X5,ᵫAAD11☢ᐵeLIY.ூXY௃YZ᝞T%`aBBH_LCDhH,`aEEF_LCDhF,

7•AB=7AC2+BC2=V100+400=1(X/5%SAABC=^-xl0x20=100,•aDa%ZACB=90°,.AD=CD=BD=5%•ZDAC=ZDCA,ZDBC=ZDCB,,,ACBH,sinZBCD=sinZDBC=——=——ABBC20_BH,1075-10,.BH=4%•CH=yjBC2-BH2=V100-80=2%,DH=3V5»•>BCDCDᢚJBCD,.ZBDC=ZB'DC,SABCI>=SA»CB'=50,BHEF.tanZBDC=tanZB'DC=——=——,DHDF475EF4•=w=3'.DF=3x,EF=4x,EFBC,tanZDCA=tanZDAC=—=——FCAC4x10'Tr-20'.FC=8x,"DF+CF=CD,'.3x+8x=56

8:.X:,112075••isr---------9111250ASADEC=—xDCxEF=——,211250300:.SACEB,=50------=——1111.DE_S^Ec_Jᦑ⌱ÜA.ூ
௃⚪ὃᢚᣚḄឋ┦ᦪḄឋᳮា!"#$%⚪Ḅᐵ'.3ஹCூᑖ᪆௃᪷.⚔Pᙠ$1MN2345MஹNḄᙶ᪗ᑖ89-1,-2
ஹ1,-2
,ᑖ8:;<=>?M@NAḄBCᓽEᑨG;Aᙶ᪗ḄᨬIJ.ூKL௃LM᪷.⚪NBḄOᙶ᪗ḄᨬᜧJ93,!<=>?NABḄOᙶ᪗ᨬᜧ••QAḄAᙶ᪗91,0
,!<=>?MAAḄOᙶ᪗ᨬIQAḄBᙶ᪗90,0
,,QAAḄᙶ᪗ᨬI9-2,0
,...AḄOᙶ᪗ḄᨬIJ9-2,ᦑ⌱MC.ூ
௃⚪U⌕ὃWXᦪḄYᔠ⚪ḄL[⚪Ḅᐵ'%\]^_WXᦪḄ`a<=>ḄᱯQ⚪cdef.4ஹBூᑖ᪆௃᪷.⚪NᐜᑡiᡠᨵḄElmnᯠp⌱qlrᡂῪḄmn᪷.ᭆ᳛wxᓽE:;[ᫀ.ூKL௃LM᪷.⚪NᙠA,B,C,Dz{|}⌱{ᨵMABCஹZkABDஹAACD,ABCD,ᐳ4{ᐸ|%ῪḄᨵMaACDஹABCD,ᐳ2{21,lrᡂῪḄᭆ᳛9MP=-=-42ᦑ⌱MB.

9ூax௃m⚪ὃzᑡ¡¢Iᭆ᳛%¥Ὺ{§ḄឋW%ᳮ¨©ª«⚪%Y⚪Ḅᐵ¬®¯°±ᑡ¡¢Iᭆ᳛%²³PcJᑮ¥Ὺ{§Ḅ}ᦪ.5ஹDூY᪆௃᪷G´n³ᔜ}k§Ḅᑨµᔜ}⌱⚗ᑖ᪆¶wJᑮᨬ·¸ᫀ.ூXY௃A.Pc%µº»¥Ḅ¼k§½§OB.Pc%µºᚖ¿Ḅ¼k§À§OC.Pc%ᨵ1Âû¥Ḅ¼k§ÄÀ§OD.pPc%ᨵ1}¿Ḅ¼k§Ä½§஺ᦑ⌱Dூax௃Æ⚪ὃz¼k§ḄឋW%½§Ḅᑨ%PǧḄᑨ%Y⚪ᐵ¬ᙠh°±ᑨ¢ᑣ6ஹDூᑖ᪆௃BȺy=°ÊḄa%_`AஹBËaᔣxÍஹyÍᚖºÎÏᡂḄ½§☢Ñ5,¶wI'&+S2ḄX0ᓽLூXY௃TAஹBȺy=3ÊḄa%_`AஹBËaᔣxÍஹyÍᚖºÎÏᡂḄ½§☢Ñ5,x▢Ô=1,.\SI=S2=4,ᓽSI+S2=8,ᦑ⌱Dூax௃m⚪Õ⌕ὃzABCDᦪÊḄaᔣᙶ᪗ÍᚖºÏᡂḄ½§☢«⚪%×Øpᜧ7ஹCூᑖ᪆௃ᵫk§ABCD½§JᑮaADB¿{§%ÙᵫAD=10,AB=1()6ᵫÆᑭᵨᳮI'BDAHi=20,ÙᵫcosNADBu%,JᑮNADB=60°,Ù½§µºÚ»¼ᑖ|»¥%Û⍝ḄÝ1m,ᡠ²7}ᡧßÑᙊá30°|᜜ßãä10.1,ᑁßãä9.1.æ᪵L²I'7}ᡧßḄ☢.ூXY௃•••k§ABCD½§%/.ADB¿{§%Ù,•,AD=10,AB=1()G.BD=y/AD2+AB2>

10AD1Ù.cosNADB=—=-,DB2/.ZADB=60°.Ù½§µºÚ»¼ᑖ|»¥%Û⍝ḄÝ1m,ᡠ²7}ᡧßÑᙊá30°,|᜜ßãä101ᑁßãä9.L.•.7}ᡧßḄ☢èé30x9.52X7T5--n3603.,.[êë3.14\᦮ᩩÛ⍝☢*%X2=10.4666álO.lnP.3Û⍝☢ð10.1m2.ᦑ⌱ZC.ூax௃Æ⚪ὃzᑁñBòó%ᨵᳮஹ{Dᦪஹᡧ§☢%⚪Ḅᐵ¬ôõ▭«⚪÷ᓄᦪù«⚪.8ஹCூᑖ᪆௃᪷G¼k§ḄឋWJᑮOB=OD,ᑭᵨaEODḄa%JᑮDE:BE=13,᪷Gúû{§☢BḄᐵeJᑮS^ADEZSABE=1Z3,ᑭᵨ¼k§ḄឋWJSzABCD=2SAABD,ᵫÆᓽLJᑮ¨oA3CZ
Ḅ☢B.ூXY௃ᙠoABCD%OB=OD,YE8Ḅa%ADE=OE,ADE:BE=13,SAADE:SAABE=1:3,ABEZSAABD=1Z4,SzABCD=2S/\ABD,AABE¨aABCDḄ☢B3:8,ᦑ⌱ZC.ூax௃

11Æ⚪ὃz¼k§ḄឋW%úû{§☢B%®ü¼k§ḄឋWý®¯þᵨY⚪ᐵ¬.9ஹCூᑖ᪆௃᪷G¼k§ᑨNMDNs/iCBN,ᑭᵨ{§û»¥,ÿᡂ
ᓽ⚪.ூ௃ABC஺,=,᧕MDNsaCBN,MD:BC=DN:BN=MN:CN=13,-,•SAMDNJSADNC=1:3,SADNC!SAABD=14,(&'()*+,ᡂ
)VSACDN=3,SAMDN=1,SADNC=3,SAABD=12,sABNM=11,ᦑ⌱C.ூ12௃3⚪ὃ56)78'Ḅឋ;+)78'☢=
*>)7
Ḅ?+@*AB,ᑭᵨ8'()*,,ᡂ
⚪ᐵF.10ஹDூᑖ᪆௃᪷KL
MᦪOPḄឋ;Qᔜ⌱⚗ᑖ᪆ᑨUVᑭᵨ᣸◀YZ.ூ௃A.k=-2<0,.•.[ḄOPᙠ]&ஹP▲+ᦑ3⌱⚗_`aB.k=-2<0,bx>0c+ydxḄeᜧgeᜧ+ᦑ3⌱⚗_`a2C.V-,=-21(1,-2)ᙠ[ḄOPh+ᦑ3⌱⚗_`aD.i1A(xi,yi),B(X2,yz)jᙠOPh++ixi<0kᡈ-k,ᔠ⚪@ᙠ]P▲ᑁ}ᣚZᓽ.ூ௃ᵫ⚪ᙠ]P▲ᑁ+1|7@+OABtᩭḄᑣ1AḄQ1ভḄᙶ᪗IInnA(2X—,4X-),ᓽ(1,2).22ᦑᫀ(1,2).

12ூ
௃⚪U⌕ὃᙶ᪗|`Ḅᣚ\]^_ᐵ%L⚪ᐵ'.12ஹ13ூᑖ᪆௃᪷.ᭆ᳛ḄᐵឋE☢%⁐Ḅᭆ᳛=☢%⁐Ḅᦪ/ᦪ.ூKL௃P☢%⁐W3ூ
௃⚪U⌕ὃᭆ᳛Ḅᐵឋ.113ஹe4ூᑖ᪆௃ᑮxX+1V2Ḅmnᦪ᪷.ᭆ᳛wxE.ூKL௃LMᙠ0,L2,3¡z{ᦪ|xx+l<2Ḅ|¢ᨵ0—{ᦪᡠ¤xx+l<2Ḅᭆ᳛%4ᦑ[ᫀ%M4ூ
௃⚪U⌕ὃᭆ᳛wxᵨᑮḄ9Mᭆ᳛¦ᡠ:BCᦪ§BCᦪ¨©.14ஹ5ூL᪆௃ᵫᢚḄឋE¤⍝NEBO=NC3D,ᵫ¬ḄឋE¤⍝M4
஻5஺,®¯ᑮ/஺8஺=°±,¦%=ᦑQBF=DF,ᙠAAEg|ᑭᵨᳮE:BFḄ³.ூKL௃ᵫᢚ´Ḅឋ,CD=ED,BE=BC.••zABCD%¬ᙠA48µ@/|,.IZfi4F=ZDEF=90°,|FB=ZEFD+AB=ED•.^ABF^EDFAAS,:.BF=DF;¶BF=x·¸IDF=x,AF=8-x,ᙠRt^AFB|,EMBF2=AB2+AF2ᓽJV2=42+8-x
2,;:x=5,ᦑBFḄ³95.¹Q⚪º»[ᫀ%:5

13ூ
௃⚪ὃᢚ´Ḅឋᢚ´¼p`ᐰᓽ<¾$1<¾¿ὃᳮ,¬Ḅឋ.15ஹÀ3ூL᪆௃LMÁÂOGCB,?஺Ã஺EJLBC¦E,.".BE=-BC=-x2>/3=J3.,OB=-AB=2,.OE=1,.ZB=30°,.ZC0A=6Q°,222S_r._r._zc._o\60X22,30X21/T2஻,fTn»▢ᡧ¡᝞஺©°DOC»ᡧ/10஺ᡧOBC-°AOBC=----------------------------------X2,3x1
=——ᐔ-753603602316ஹ4nூᑖ᪆௃ᐜᑭᵨÄ30dḄḄᐵᑮAB=2BC=8,AC=75BC=4JL᪷.ÅÆḄឋᑮNCAE=NBAD=90஺ᯠp᪷.ᡧḄ☢ÈwxᑭᵨBCÉ?Ḅ▢Ë☢È=S^BAD-SACAEÌ.ூKL௃LMVZBCA=90°,ZBAC=30°,:.AB=2BC=8,AC=ÀBC=4ÀVRtAABCÍAÎA┐ÅÆ90஺ᑮRtAADE,/.ZCAE=ZBAD=90°,...BCÉ?Ḅ▢Ë☢È=SᑠBAD-SACAE90•78?90•46
2+=------------------------------------=4.360360ᦑ[ᫀ9:47r.ூ
௃⚪ὃᡧ☢ÈwxM¶ᙊÓ%n஺ᙊḄÔÕ9RḄᡧ☢È9S,ᑣSᵨ×=Øᡈᡈᐸ|I36029ᡧḄÚ³:▢Ë☢ÈḄU⌕ÛÜ%ÝÞᑣ`☢ÈÆᓄ9Þᑣ`Ḅ☢È.¿ὃÅÆḄឋ.

14ூᑖ᪆௃ᑡ⊤¦ᡠᨵ*©Ḅª«ᦪ+¬¦®ᙠ¯Mᦪy=x-2OPhḄ1°ᦪ+ᓽZ¦ᡠZḄᭆ᳛.ூ௃ᑡ⊤-112-1---(1,-1)(2,-1)1(-1,1)(2,1)2(-1,2)(1,2)ᡠᨵ*©Ḅª«ᨵ6³+ᐸ@µ1®ᙠ¯Mᦪy=x-2OPhḄª«ᨵ1,-1
ᐳ1³+ᑣP6ᦑᫀ:0ூ12௃¶⚪ὃ56ᑡ⊤Yn᪛¸OY+¹¯MᦪOPh1Ḅᙶ᪗ᱯ»+ᵨᑮḄ½¾1ᭆ᳛=ᡠZª«ᦪn¿ª«ᦪÀ
.18ஹ273ூᑖ᪆௃ᐜ¡?+ÃÂÄY+ᨬVÂÆYᓽ.ூ௃V27-3X=36.3=3A/3-V3=2Çᦑᫀ2G.ூ12௃3⚪ὃ56ÈᳮᦪḄÊᔠËÂ+opÈᳮᦪḄÊᔠËÂYᑣ⚪ḄᐵF.8ஹ⚪ᐳ66ᑖÌ19ஹ1
y=-x+122
bx=81ᐗc+ÎÏᑭᨬᜧÐ80ᐗa3
├ÒᓫÔÕ70ᐗூᑖ᪆௃1
᪷KMᦪOÖ+×1ᙶ᪗+ᑭᵨØÕyᦪYZyᐵ>xḄMᦪ᪆Ùa2
ÚK⚪+ÎᑭÛ=ᓫÜᑭÛX├Ýο¡Þ+ßyᵨx⊤à+¦wnxḄ&¯Mᦪᐵy+Ãᑭᵨá?YᑮᨬÐa

15(3)â&¯MᦪḄwḄÐᜧ>*>17.1,ZxḄãÐå+᪷K⌕ç├Ýᨬᜧ+`ÕᨬèxḄÐ.ூ௃(1)᪷KMᦪOÖ+ᨵ1(70,1)é(90,3)êMᦪ᪆Ùy=kx+bᑣl=70x+b>3=90x+bk=---,b=1210y-------x+1210(2)᪷K⚪w=(x-40)♦y-zᓄì=--X2+17X-642.5wI,}w=-—(x-85)-+8O...bx=81c+ãᨬᜧÐ+ᨬᜧÐ80(3)᪷K⚪+ᑣw>17.1ᓄì-%2+170%-7000^0(-x+70)(x-100)^070xḄMᦪᐵyÙ.20ஹ(l)NB=40°(2)AB=6.;ூᑖ᪆௃(DðñOD,ᵫᙠAA5C@+NC=90஺+5Cᑗó+᧕AC஻ô+ᓽZNCW=NAOO,õgZᫀa(2)✌ᐜðñ஺÷஺øᵫAC஻஺ù+ᵫ1ú40Ḅ@1+᧕û40f*8'+õgZᫀ.ூ௃:প᝞Oজ+ðñOD,TBCᑗ஺஺>1D,:.ZODB=90°,VZC=90°,AAC/ZOD,

16AZCAD=ZADO,VOA=OD,ZDAO=ZADO=ZCAD=25°,AZDOB=ZCAO=ZCAD+ZDAO=50°,VZODB=90°,:.ZB=90°-ZDOB=90°-50°=40°;ফ᝞Oঝ
OFQD,JZOFA=ZFOD,•,FADḄAZAOF=ZFOD,JZOFA=ZAOF,.\AF=OA,VOA=OF,•••AOF:.NFAO=60஺,ᑣNDOB=60஺ZB=30°,•:ᙠRtAODB,OD=2,.OB=4,AAB=AO+OB=2+4=6.ூ௃⚪ὃᑗḄឋḄឋῪḄឋ"ᙊ$Ḅᐵ&Ḅᑨ()ឋ*30஺Ḅ+Ḅឋ.-./0ᑗḄឋ12(1)Ḅᐵ345AAO612(2)Ḅᐵ3.1?4221ஹ(1)y——x2—2.x(2)8(0,8)(3)-----.-43ூᑖ᪆௃(1)ᐜ᪷

17(2)¶3(0,)᝞`(ãL᪆)?CÃCHᚖy>¦H,?AÃAQᚖy>¦Q,᧕æç^CHB=ABQA,EAQ=5H=4,CH^BQ=4+m,ᑣCᙶ᪗9(+4,m+4),Ýᐸéᐭ⚪(1)|Ḅëᱥ$ᦪᐵxᓽEM(3)᝞`í³NMîCH¦E,ᑣNELCH,ᐜï?BஹC:;$BCḄᦪᐵx¹Nᙠëᱥ$2,ᑣ¶N(x,‘f_2x),ᑣEMḄᙶ᪗᪷.Ḅ☢Èwxᑡ;xᑭᵨWXᦪḄឋ:ᨬJᓽE.4ூKL௃(1)AQ4µ%ῪNQ4P=90°,Pᙶ᪗9(8,0)ᑣAḄᙶ᪗944,-4)ÝOஹAஹBᙶ᪗éᐭëᱥ$ḄᦪᐵxMc=0c=0<16Q+4Z?+C=-4,LM\ci=—464a+8஻+c=0,c[p=-2ᦑëᱥ$Ḅᦪᐵx9My=-x2-2x%4(2)¶8(0,)?CÃCHᚖy>¦H,?AÃAQᚖy>¦Q,ZBAQ+ZQBA=90°,ZQBA+ZHBC=90°ZHBC=NBAQ5•ðBC=AB,ZCHB^ZBQA=90°\CHB=^BQA(AAS)AQ=BH=4r,CH=BQ=4+mᦑCḄᙶ᪗9(m+4,ñ+4)ÝCḄᙶ᪗éᐭ⚪(1)Ḅëᱥ$ᦪᐵxM1,—(m+4)--2(/M+4)=m+4,LMm=84ᦑBḄᙶ᪗9(0,8)

18(3)᝞`í³NMîCH¦E,ᑣNELC”¶$BCḄL᪆x9My=kx+d,ÝB(0,8),C(12,12)éᐭ:ᑣ$BCḄL᪆x9My='x+8-311¹Nᙠëᱥ$2¶N(x,]f_2x),ᑣMḄᙶ᪗9(x,§x+8)CBNḄ☢ÈSKBN=SgMN+S&CMN=%MN.HE+%MN.EC=%MN.HCᓽSACBN=g(x+8-;V+2x>12᦮ᳮMSMBN!""e~I)+~2~5¹M%$1BC2eᑣ0

19ூᑖ᪆௃(1)opᣵḄrsḄtXcm,ᑣAB=(40-lx)cm,᪷

20ூ௃⚪ὃᦪḄᔠᱯ!"Ḅ#!$ᦪ%&'(Ḅ)*⚪Ḅᐵ.24ஹ+,-᪆.ூᑖ᪆௃ᵫ12Ḅឋ456=AC^AE,56NE=NACE,ᵫ89:Ḅឋ456N8CE+NE=180஺56NE=60°,ᑣ5=44£>=60஺56>?.ூ@௃Aᵫ12A³AOEgAABC,.ZACB=ZE,AC=AE,.NE=NACE,BBC//AE,.ZBCE+ZE=180°,ᓽZACB+ZACE+ZE=180°,.,.ZE=60°,BAC=AE,.^ACEDEF#!GZCAE=60°BN3AC=NZME/.ZBAZ>=ZCAE=60°BA8=AO.•.³A8ODEF#!G.ூ௃H⚪ὃI12Ḅឋ4EF#!GḄឋ489:Ḅឋ4E
=JNC4E=6()஺H⚪Ḅᐵ.275725ஹ(1)(-1,4)(2)জ——ঝQ(——K).824ூᑖ᪆௃(1)MAᙶ᪗PᐭRᱥ:⊤UVW6Am=-l,ᓽ5=X(2)জZQ[y\Ḅ89:]AC^N,ᐜ=J`:ACḄ᪆VQ(x,-x2-2x+3),ᑣN(x,x+3),ᑣ139³QACḄ☢bS=]xQNxOA=-QX2-]x,ᯠd᪷fgh$ᦪḄឋ4ᓽ5=XঝtanNOCB=^=l,iHM=BM=x,jIkCM=3x,BC=BM+CM=4x=V10,6Ax=^^,CH=Vl()x=-,jlICO342H(0,),mᳮ56A`:BH(Q)Ḅ⊤UVDAy=-x+g,ᓽ5=.ூ@௃A(DMA(-3,0)PᐭRᱥ:⊤UVW6,

210=-9-6m+3m=-1,ᦑRᱥ:Ḅ⊤UVDAy=-x2-2x+3=-(x+l)2+4…জ.,.P(-1,4),ᦑqᫀDA(-1,4)(2)জZQ[y\Ḅ89:]AC^N,᝞t1,t1i`:ACḄ᪆VDy=kx+b,MA(-3,0)ஹC(0,3)Ḅᙶ᪗PᐭKh$ᦪ⊤UVW6,r-3k+b=Q஺=3'6k=lb=3,g`:ACḄ⊤UVDAy=x+3,iQ(x,-x2-2x+3),ᑣN(x,x+3),QACḄ☢bS=gxQNxOA=^x(-x2-2x+3-x-3)x3=22327,•*~-<0>ᦑSᨵᨬᜧDA—;28ঝ᝞t2,i`:BQ]y\^H,ZH[HM_LBC^M,

22BC=BM+CM=4x=V10,2Lx=^-,4CH=V10x=1,ᑣH(0,g),22Å+ACḄ⊤ÇḄBIKL+BH(Q)Ḅ⊤Çy=-…ঝ,22ὶ¢জঝÊ2L,1I-x1-2x+3=x+—,222Lx=i()ᡈ-2,2¤Í57ᦑQÏ-ЗÑ.ூ௃⚪ὃG(&ᦪIBᦪ?ᦪ2᪆ᦪḄÒ)ឋ┦ᦪḄ(ÔÕÖᦪ×ᔠØÙḄÚÛ.⌕Ýᑭᵨᦪ×ᔠḄÞßàªᦪ?×ᔠáᩭᑭᵨḄᙶ᪗ḄÔ⊤ãäḄtåæçBCäèéḄᐵ&.$(-1.5,-0.5)(3)](346+J170)ூᑖ᪆௃ÏDᵫAᙠíîÍKLïḄðçLCíîḄ2᪆.oÏm<0Ñ,òAóAP_LxôõP»ôõQ,+?+A6ö÷õ᪷<4408=51“8-5,50ù-5.ú208-5û0?“2=32s{ᓽKL

23C"ḄæçLC5Ḅᙶ᪗à4ஹ5Ḅᙶ᪗ªᐭþᱥḄ᪆ᓽᑮ;(1)ᱥx=T.5,(—1.5,y),ᑣ!PGP$OB2;PB2.ᯠ&ᑖ()*+,ᓽ$(3)M(x,y).ᵫ0!MḄᙶ᪗.38ᐵ6yḄ789*M;y60.=>Ḅᕜ@ᨬB.ᵨD7EḄFGHIJᓽ.ூL௃(1)ᵫA(l,4)QRk=xy=lX4=4,4Jy=TxUTV(WX0).YA3AP_Lx6\60,]30^]AP_;67`\ᑣaS^OQ=LSw)B=^AAMB-^AAOPT\QOB-SdeOPMQ᦮ᳮR2/?/2+3m—2=0,R6=g,=-2.Vm<0,A/n=-l,ᦑ8(—2,—2).qAஹBAy-ax1+bx-2=4a-2b<4=஺+஺

24••y=x~+3x•uᱥy=%2+3wḄ*=-1.5.P(—1.5,y),x"஺2=$+9\OB2=8,PB2=^+(y+2)2.•••{P05|Ὺ(~e,...ᑖ()*+,:®PO2=OB2,ᓽ2+y2=8,Ry=t,42ஹஹ:.[-1.5,—,P-1.5,2~2~/®PB2=OB2,ᓽ;+("2)2=8,R=T2,1922-+--+yBn44Ry=T).5-1.5,-0.5)$(3)M(x,y).•••4(1,4),8(-2,—2),0(0,0),

25MO2=x2+y2,=(X-1)2(J-4)2,MB2=(x+2)2+(y+2)2.+VMO^MA=MB,.p2+/=(x-l)2+(y-4)2\\Xx2+/=(x+2)2+(y+2)211X----26Ar,[8ᐵ^y\Ḅᵨᙶ᪗DA1,-1.M]y\^Q.5QMḄᕜᨬ.C^QM=MQ+BQ+MB=MQ+QB'+MB=MB'+MB=^(V346+V170).ூ௃H⚪gh$ᦪᔠ⚪.ὃIᵨᦪ=gh$ᦪḄ᪆Vஹgh$ᦪḄឋ4ஹ\-ᨬ⚪E.1Ḅᐵᒘ⊡X1Ḅᐵᑖ?X3Ḅᐵ=JMḄᙶ᪗.