2022-2023学年贵州省德江县中考数学专项提升模拟试题（一模二模）含解析

《2022-2023学年贵州省德江县中考数学专项提升模拟试题（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
ḕὃᦪ⚗ᓣ⚪()Iᔁ(⌱⌱)ᔁᑖ---------------ஹᓫ⌱⚪1.ᦪ2022ḄᦪA.2022B.-2022C.D.—202220222.ᑡ"#$%ḄA.x2+x4=x6B.x4-x2=x2C,x4X2=x8D.%4x2=x23.ᐔ/0᪺2+6=0Ḅ3()A.Xj=2,x2=3B.Xj=-2,X2=3C.X/=2,%2=-3D.U=-2,X)——34.7ᱥ9y=ᔣ<=>3?ᓫ@ABᔣ=>C?ᓫ@VᡠX7ᱥ9Ḅ⚔Zᙶ᪗]()A.(3,-2)B.(-3,-2)C.(3,2)D.(-3,2)5.E᪥GᳫI16JIᕒḄLMNO᝞⊤ARSIT1LMḄ^@ᦪ_`ᦪᑖa()LM(b)14151617ᦪ3533A.15,15B.15.5,15C.15.5,16D.16,166.᝞dAe94஻4,ge94hḄZ4]ᙊj•〉mn]opqrAᑖase9R4uஹB,C,vw48,BC.xyNl=40஺Aᑣ~48c=(

1Bi1A.40°B.50°C,70°D.80°7.᝞dAᵫ?$ᡂḄḄdA$^Ḅᦪ⊤ᙠ@Ḅ$Ḅ?ᦪAᑣR?ḄdX012y0343A.0,3B.
1,4C.2,3D.3,09.᝞dA]1cmḄᩩBCᢚANCAB=45஺,ᑣᢚVᑖḄ☢]B.mm2A.ᖾcm2ccm2D.cm2T10.᝞dAᙠ^A4B=4,ZABC=60°,Zஹ஻ᑖa60_8ChḄZ,¡Z¢£Z5ஹ஺¤ᔠAᑣPW+PCḄᨬ§

2BDA.2B.3C.2GD.4IIᔁ¨⌱⌱ᔁᑖ©ஹª«⚪11.sin60,=12--2a+3஺=13.¬®ᦪḄd¯Z᝞AAᑣ¬®ᦪḄ°᪆²].14.ᙠᦪ´ᑁᑖ°¶²5-4X=.4x<3x+L15.¤·²¸².x-1Ḅ°¹.2~~16.¤º»Ḅ¼½¾¿ᨵÁஹÂஹÃÄÅÆ⁐ḄÈÉᳫ◀Æ⁐᜜ᐸÍÎÏAᐸ^Áᳫᨵ2?AÂᳫᨵ1?AÐÑ^ÒÓ᥎Õ?ÁᳫḄᭆ᳛ØAᑣ¼½¾ᨵÃᳫ?.17.᝞dAPA./>8஺஺Ḅᑗ9AA.5]ᑗZA4c஺஺ḄepAÚZC=10,PA=\2,ᑣsinZACB=.18.Ú7ᱥ9y=--8x+£xÛÜᨵ?ÝᐳZAᑣḄ§].19.ßZ8CQᱏᐜâᢚAᯠVäåAᢚæ]MN,ZE8chZAçß/8C஺ZEᢚA8ZèᙠhḄZ"ᜐA4EMNஹG,Úᑣ9ë8'G

3Ḅn]________20.᝞dAZP·íÄîZ8CᑁZA!P4=",PB=C#PC=272ᑣR?·íÄîABCḄín].ফᐜᓄñ,Bò§ó(Øx2ô-%+©21õx-ö2Aᐸ^'ÑI,2,3^⌱?øù]ᔠ〉Ḅᦪúᐭò§.22.E^üýþåäÿ
᪥“ᨬ
⚗”ᑖᔁᑖ!"#$%&4'()B.*+,-.)C.ᳫ$)D.012.456᦮ᳮ*ᑴ᝞;0<᦮Ḅᡧ?@ABCᩩ?@AB:FBGᡠIJKLM;ᑡ⚪&(1)PQᐳSTUV

4(2)F⊡ᐰᩩ?@AB.(3)Z᪥ᐳᨵ600U᪷]^_JKF`Aᐰ᪥G12B$ḄᨵSTaV(4)bᵬdeUfᔜhi4B,Cj#⚗G⌱l#12Fᵨᑡ⊤ᡈ+᪛qBḄr.stu⌱Gfl⚗Ḅᭆ᳛.23.᝞BᙠRtA8/CGABAC=90°,^!yzḄ஺஺|8c}~஺E!1cḄG~஺DE.(1)s&஺஺Ḅᑗ)(2)b48=4C=10,sBG▢ᑖḄ☢.24.ᖪlᖪᖪḄ!30ᐗ.├GPᖪᜩḄy(),x(ᐗ)Ḅᐵᦪ]᝞;&X(ᐗ)30323436y()40363228y,x¡¢ᦪᐵ.(1)ᑏ¤y,x¥¦Ḅ¢ᦪᐵ§.(2)᝞6ᖪPᖪᜩ⌕©ᑭ150ᐗ«¬ᖪḄ®!STᐗV(3)¯ZᖪᜩPᖪᡠ©ᑭ°!w(ᐗ)Fᑏ¤w,x¥¦Ḅ¢ᦪᐵ§±s¤ᖪḄ®!STᐗ²ᜩḄᑭ°V25.&ᙠ³r?N8C஺GE!4´8஺_l~µ~E¶BCF,஺·G!஺·ḄG~EG,CG.

5B2(1)ூº»௃º½EG,CGḄᦪᐵ±2^Á.(2)ூÃÄÅ௃ÆB1G·ÇB~⌮²┐ËÌ45஺ÏᑮB2,DFG~G,EG,CG.ᙠ(1)GÏᑮḄ5»ÔᡂÖᔩVᑏ¤Ḅº±2^Á.26.᝞BÙᱥ=Ü2+Þ-2,xá|}~/(-2,0)ஹ8(1,0),,yá|}~C.(1)sÙᱥḄL᪆§)(2)~MÙᱥ4éá_Ḅê~sM8+MCḄᨬëì)(3)b~PyNC;rÙᱥ_Ḅê~µ~·¶·QL4C}~஺½PQᔲóᙠìVbóᙠs¤ô²~·Ḅᙶ᪗)b0óᙠF÷Áᳮᵫ.

6ᫀ:1.Bூᑖ᪆௃Æ2022ù☢2_úûᓽýḄþÿᦪ.ூ௃ᦪ2022Ḅᦪ-2022,ᦑ⌱B.⚪ὃᦪḄஹḄᦪᦪ.2.Dூᑖ᪆௃᪷⚗ḄᦪᗩḄ!"#$"ᑣᦪᕆḄ◀"#$"ᑣ()ᑨ+,⌱⚗ᓽ..ூ0௃A⌱⚗2X34⚗5"67ᔠ9ᦑA⌱⚗4ᔠ⚪:;B⌱⚗/2-/4⚗5"67ᔠ9ᦑB⌱⚗4ᔠ⚪:;C⌱⚗x4-x2=x6^x8,ᦑC⌱⚗4ᔠ⚪:;D⌱⚗x4^x2=x2,ᦑD⌱⚗ᔠ⚪:.ᦑ⌱D.⚪ὃ⚗Ḅᦪ>Ḅ!"#$ᦪ>Ḅ◀"#$?@ABCDEFG⚪ᐵI.3.Aூᑖ᪆௃᪷JKᑖ"ᓽ.M.N7⚓/P57⚓

7Oூ0௃x2—5x+6=0....(x-2)(x-3)=0...郛x-2=0ᡈx-3=0.....TX1=2,X2=3.....ᦑ⌱A....O.U⚪V⌕ὃXᐗZ)[\ḄM⚪ḄᐵI?EJKᑖ"Ḅ#ᵨ.圜...4.A.的.空ூᑖ᪆௃.-E..᪷Z)_ᦪḄ`abc.Td_ᦪḄ⚔GK....耶...ூ0௃..,..Hfgᱥiy=-X2ᔣk`a3ᓫmnᔣo`a2ᓫmpO.黑.Ty=-(x-3)2-2,..W.⚔Gᙶ᪗(3,-2),.ᦑ⌱A.脚期...何..⚪ὃtZ)_ᦪuv`aḄEFG⌕M?@AB`aḄbc“xykz{yoz”,姿.....⚪ḄᐵI...磐.冰.O5.B....ூᑖ᪆௃..᪷~mᦪ2ᦪḄMᓽ..4ூ0௃..;155))ᦪᨬ....OᔁN8⚓ᐳ31⚓

8CᦪḄᦪ15Cᦪᢥᜧ᣸ᑡᨬ~ᦪ15,16CᦪḄ~mᦪ"ᡝ=15.5ᦑ⌱B.⚪V⌕ὃ~mᦪ2ᦪfXᦪᢥ᯿ᑮᜧᡈᜧᑮḄ᣸ᑡ᝞ᦪḄᦪ᜻ᦪᑣᜐ~mḄᦪCᦪḄ~mᦪ.᝞CᦪḄᦪᏔᦪᑣ~ᦪḄ`ᙳᦪCᦪḄ~mᦪ.Xᦪ~)ᦪᨬḄᦪ£¤ᦪ.6.Cூᑖ᪆௃ᵫ⚪:᧕TᵫU.Tᵫ"஻.TN1+N48C+Z/C8=18O஺Zl=40°ᓽ.T//3C=70஺.ூ0௃ᵫ⚪:.T$.ZABC=ZACB,N1+NN3C+N4CB=18O°,©•.•/1=40஺.♦.40஺+2//3஺=180஺T/ABC=IQ0.ᦑ⌱C.⚪ὃt`7iḄឋ¬?៉“`7iḄឋ¬2®Ὺ°±²Ḅឋ¬''´µ¶⚪ḄᐵI.7.Bூᑖ᪆௃x·ux¸¹ᐳ2ºIJ,ᑖ»122´[²¼µ¶ᫀ.N9⚓/P57⚓

9.....O.ூ0௃..᪷⚪:u².E⚪¾~Ḅ¿ÀÁx☢¹ᑮḄxÃkᑡ´[²Ḅᦪ()1ஹ..2,⌱⚗B´µ..郛ᦑ⌱B........⚪ὃ¿ÀÁḄ°·u?@#ᵨÄᱥÁḄ°·uḄÅÆ⚪ḄᐵI......8.D.O..圜ூᑖ᪆௃...ᵫ⊤È.EZ)_ᦪḄuvᐵÉix=lÊËÌḄuvÍxÎḄXÏGᙶ᪗7,0,的.空᪷Z)_ᦪḄÊËឋ.MÌḄuvÍxÎḄÐXÏGᙶ᪗..-E..ூ0௃...耶..ᵫ⊤È.EZ)_ᦪḄuvᐵÉix=lÊËÌḄuvÍxÑḄXÏGᙶ᪗
-1,0,...,..HÌḄuvÍxÎḄÐXÏGᙶ᪗3,0,O.黑ᦑ⌱D....W..⚪ὃtZ)_ᦪḄuvÍឋ¬.⚪ḄᐵIᙠµZ)_ᦪḄÊËÎ.脚期9.B...何..姿....ூᑖ᪆௃..磐..ᐜ᪷⚪:T4ABCX⚔±45஺Ḅ®Ὺ°±²ᓽNA=45o,AC=AB,ÔCÕCD±AB,冰.O.ᚖ×D,᪷°±_ᦪMAC,AB,ᯠp.ÙMAABC☢Ú...ூ0௃..•••ÜᩩḄ¸`7.4......ᔁN10⚓ᐳ31⚓O

10isy-ziZABC==67.5°2ᳮ.TZACB=67.5°,•.ßABCX⚔±45஺Ḅ®Ὺ°±²ᓽNA=45஺AC=AB.ÕCDJ_AB,ᚖ×D,ᑣCD=1.CDVsinZA=----#ACAC=---=42ABsin4Si77**•SAABC=TXABXCD=—,22ᢚápâáãᑖḄ☢Úäcm2.2ᦑ⌱B.⚪ὃḄu²ᢚáḄឋ¬?Eu²åᢚ4æឋḄឋ¬¶U⚪ḄᐵI.10.Cூᑖ᪆௃çèPA,᪷é²Ḅឋ¬êëß458ìßCO5#TᑮPA=PC,ᓽPM+PC=PM+PA>AM.ᵫA/3C{ḄíGᡠÙïðᨵᨬ.n᪷/8=4,ò48C=60஺ó$Tᑮᨬ.ூ0௃᝞u1,çèÅ,NH⚓/P57⚓

11o............我.........:é²”c஺....$.AB=AD=DC,AB//CD,.O.$.NABD=NADB,ZABD=ZBDC,.酸.$.ZADB=(BDC,.的.ᙠA/஺õÍACZJP~.AD=DCI1VNADP=NPDC,-E..PD=PD耶..$.)ADPHCDP'SA*,,.HOPA=PC,ᓽPM+PC=PM+PA>AM.黑.A/8c{ḄíG..W.,.ï_LBCð4஻ᨵᨬ...᝞u2,Ô“Õ4Mlsc邸期...何..松......磐..冰.O....VAABC=60°,AAMB=90°,NB=4,../•AM=2*,氐...ᦑM+PCḄᨬ2..........Oᔁ12⚓ᐳ31⚓

12ᦑ⌱(c.)⚪ὃ,-./Ḅឋ12ᵨ4ᨬ56789:ᵨ;<=ᦪ?@<;

13...o4.••nop=ᦪ?᪆qJ=c.x..ᦑ.X郛.)⚪ὃ,nop=ᦪḄxopᦪ%,fghinop=ᦪḄ?⚪ḄᐵM......14.x(x2+2)(x+J2)(x-.......oூᑖ᪆௃.qx,ᑭᵨqᑖ?ᓽb.圜..ூO?௃的?(q=X(X4-4)空=X(X2+2)(?-2)-E......=X(X2+2)(X+V2)(X-V2)耶.....,..ᦑx(x2+2)(x+£)(x-ত.Ho.黑.⚪ὃ,-ᦪᑁᑖ?¡qfghi¡qᑖ?Ḅ]?)⚪ḄᐵM.W.15.-2£x<1脚期..ூO?௃何...姿.4x<3x+lজ...?(ᡭᓃ1ঝ'..磐..3冰.o?জx

14ூO?௃?(m®¯ᨵ±ᳫt³ᑣ®¯ᐳᨵs2+1+ᵨ´³ᳫᵫ⚪¶(—=!?:2+1+/W6»=9.ᦑQᫀJ9.ூᑖ᪆௃¼½OBஹOP,᪷WᙊḄឋ1bk/C=NZOP,ᑭᵨÀÁᳮxy0PḄᓽbxysin/4cBḄ.ூO?௃?(᝞ÆᡠǼ½஺8ஹ0P,&-----'$PA,P8஺஺ḄᑗDA.BJᑗOA=OB,$.OPLAB,,.ZC஺஺Ḅ@7$.CB±AB,$,OP//BC,$.ZC=ZAOP,"OALAP,PA=\2,OA=-AC=5,2ÌᙠÎÏ0/PBᵫÀÁᳮ(OP=>JOA2+AP2=A/52+122=13-15⚓/57⚓

15...oAP12.smZACB=smZAOP=—=—OP13.,.12.ᦑ3郛.)⚪Ð⌕ὃ,ḄᙊBḄᑗDḄឋ192ᵨ;<=ᦪḄ2ᵨ{Ò<ÓHᣚ?⚪ḄᐵM......18.16.......oூᑖ᪆௃.Ôy=0ᑮᐵxḄcᐗÌ×ØᵫÙᱥDÛxÜÝᨵc³ÞᑮØ᪷ḄᑨàqF圜.0,_`x?ᓽb..的ூO?௃空?(Ô0,ᑮX2-8X+%=0...-E...•.,Ì×=ᦪy=/-8x+%ḄÆáÛxÜÝᨵc³Þ..耶...ØX:-8x+஻=0ᨵâ³ãFḄᦪ᪷...,Ho/.A=82-4^=64-4A=0,?16.ᦑ16.黑..w)⚪ὃ,-ÙᱥDÛxÜḄÞ.?⚪ḄᐵMᙠäåÞ³ᦪÛᑨàqÏḄᐵ.期脚19.1....何..姿..ூᑖ᪆௃.....磐.᪷WᢚçḄឋ1ÀÁᳮ89BDḄឋ1ᓽbx?èo冰.ூO?௃.?(ᵫᢚçḄឋ1bkAM=BM=-AB,AB=AB.2AM=-AB42.=30°.■$AG=GE,ZAB'E=90°.ᔁ16⚓ᐳ31⚓O

16AAG=GE=B'G:.ZB'AE=ZAB'M=30°N4EB'=60°$.B'G=B'E=GEm8'E=x,AE=2xᵫÀÁᳮAE2=AB'2+B'E2ᓽs2x2=6"?(*=1,x=-lsìí´2)⚪Ð⌕ὃ,ᢚçḄឋ1ஹî/Ḅឋ1ஹÀÁᳮhiãᐵklYᮣð2ᵨ?⚪ḄᐵM.20.6ூᑖ᪆௃C;

17...o.$.8P=PD=BD=41,/BPD=60°,.•;PA=a,.PD2+PA2=AD\郛$.N/PD=90஺,....'NBPH=30஺,.....:.BH=9BP=,T&ᵨ=T,....o.ᵫᳮ4B=j"+£+'*ஹ=714,圜..的ᦑ.空..-E..⚪ὃ!"#$%&'Ḅឋ*+ᑨஹᳮ⌮ᳮஹ./0ᣚḄ2ᵨ#3456⚪ᐵ8...耶..9:./0ᣚ;ᑖᦣḄᩩ?@AᙠCD%&'A.....21.(1)72-2;(2)x+1,4,Ho.黑.ூᑖ᪆௃.w(1)᪷OPᦪḄRᔠTUVᑣXY᪷ZḄឋ*&Ḅ%&[ᦪ\]ᢣᦪ_`᦮ᢣᦪbḄ期TUឋ*cdU脚..(2)᪷OᑖZḄRᔠTUVᑣefZᓄh᪷OᑖZᨵjkḄᩩ?⌱mᔠ〉ḄxḄ\oᐭd..何..姿.Uᓽr......ூs6௃磐..o冰.61-78-2sin450+2-^-°-..=272-2x—+1-3,24=72-2;...ᔁ18⚓ᐳ31⚓O

18x2—x2x—2(2)x2—2x+11-xJx2—1D(x+l)(x-l)x—2x-2(x+l)(x-l)x—1x—2=x+1,x=3fZ=3+1=4.⚪ὃ!Ḅ9ᑖZḄᓄh\ஹPᦪḄRᔠTUᑖZḄRᔠTUVᑣ96⚪Ḅᐵ8.22.(1)50(2)6᪆(3)120(4)ூᑖ᪆௃(1)ᵨZḄᦪ◀ᡠᓰḄᑖᑮ!ᦪ(2)ᵨᦪᐸḄᦪ஺ḄᦪO⊡ᐰ£'(3)ᵨ600¥¦§8ḄᦪᡠᓰḄᑖ(4)ᐜᑡᡠª«ᙳ#Ḅ®ᑭᵨ᪛±£6².(1)6³Y´dᐳµ!Ḅ¶·ᦪ95+10%=50(¹)ᦑ50(2)஺ᦪº50-5-10-15=20()⊡ᐰᩩ'´d£º19⚓/57⚓

19.....O......郛.............᪷O⚪jO.600x—=120().50圜..²¼d½¦§8Ḅᨵ120.的.(4)空¾᪛±£᝞À.-E.....耶.ᵬABC..AAA..,..ÃABCABCABCHOᡠᨵª«ᙳ#ḄÄÅᐳ9ÆᐸAᵬஹÃ⌱ACD⚗ÈḄᭆ᳛ᨵ3Æ.黑.ᓽËÌ⌱ACD⚗ÈḄᭆ᳛º|=1•..W..脚期⚪ὃ!ᩩ'´d£ஹᡧ'´d£ஹᵨ᪵¼dÑஹ¾᪛±£ᭆ᳛#349Ò⌕ὃ5..Ôᐵ3496⚪ᐵ8.何...姿..23.প6᪆....150-25Ö磐..冰.O...ூᑖ᪆௃..(1)×ØO஺ஹOE,OE9RSB/CḄAÞßᑭᵨAÞßḄឋ*ràáXâ஺1,.4ãäᑮNE0O=NE/1O=9OP,O6²..(2)ᐜàáçᵫ§è=é.ê-5\“§-5í.8%&'☢ïðZஹᡧ'☢ïðZ6²....ᔁ20⚓ᐳ31⚓O

20ᓽr.(1)àá×ØODஹOE,•••BC9஺஺ñòE94CḄA5,J.OE//BC,ZEOD=AODB,ZEOA=ZB,
OB=OD,/.ZB=NODB,:"EOD=/EOA,
OA=OD,OE=OE,:AEOD"OA(SAS),:.ZEDO=ZEAOfóôZCAB=90Q,/EDO=90°,ó,••5஺ᙠ஺஺õDE1º஺஺Ḅᑗß.(2)×ØOD,21⚓/57⚓

21.....O......翔.........vAB=AC=10,ZCAB=90°......NC=NB=45஺O.•$OB=OD.酸.:.ZAOD=90°.您.ᓽAB1OD.S▢è=IABC-¥DOBDø'4ODI1-E..=-ABAC--OBOD--TTOA224耶..=-xl0xl0--x5x5—-52,.224H_7525nODÖD-1黑.._150-25Ö.4W..脚期⚪ὃ!ᑗßḄᑨஹᙊḄឋ*ஹ#Ὺñ&%&'Ḅឋ*#349Ò⌕ὃ5Ôᐵ34...何.96⚪ᐵ8..登....24.(l>=-2x+100..般..(2)û?ᖪýḄþ2º35ᐗᡈ45ᐗ冰.O.(3)W=-2(X-40)2+2007ᖪḄ40ᐗᜩḄᑭ....ூᑖ᪆௃.氐(1)ᵨᦪᦪ᪆ᓽ.....(2)᪷"⚪$ᑡ&'ᐗ()*+,ᓽ..........0ᔁ222⚓4ᐳ31⚓O

22(3)᪷"⚪$ᑡ&w9xḄ()ᦪᐵ4<᪷"()ᦪḄᨬ>ᓽ.প?@y9xBCḄᦪᐵDfcc+6.40=304+6,Ix=30,D40Nx=32,D36PQᦪ"Rᐭy9xBCḄᦪᐵT36=32%+'k=-2,T6=100.••y9xBCḄᦪᐵW-2x+100.Q)?᪷"⚪$T150=(x-30)(-2x+100).T=35,஽=45.ᡠ\ᖪḄ]35ᐗᡈ45ᐗ.(3)?᪷"⚪$Tw=(x-30)(-2x+100)=-2x2+160x-3000=-2(x-40)2+200.(^x=404w_T>.•••ᖪḄ40ᐗᜩḄᑭ.a⚪ὃcᦪḄd▭]ᵨ4'ᐗ()*+Ḅd▭]ᵨ4()ᦪḄd▭]ᵨ4fghijklmno⚪ᐵp.25.(1)EG=CGtuvw᪆(2)ᡂytEG=CG-,uvw᪆ூᑖ᪆௃(1)᪷"z*{Ḅឋ}4~{ḄoḄ'ᓽuv.(2)nG6%1_8nGG//_LBC//,EFḄ᪷"z*{Ḅឋ}4ḄnEᙠ494nWᙠ3஺4᪷"z*{Ḅឋ}4{ḄᑨᳮN223⚓/57⚓

23...o.ឋ}4{ᑁNᳮ4¡¢¡4£ḄN¤ᐵEM=CN,¥¦ᳮMG=NG,.᪷"ᐰ¡{ḄᑨᳮNឋ}ᓽuv..(1)郛?EG=CG,uv᝞©...■:EF1BD,ª{BCDoz*{4.....ZDEF=ZDCF=90°......஺WḄn4.oEG=ஹDF,CG=-DF..22圜.$.EG=CG..的(2)空?ᡂy4EG=CG,uv᝞©...᝞©«ᡠ¬4nGGMLC஺MnGG"J_3஺"4"Ḅ஻.-E.....耶......,Ho.黑..w期脚..•ª{/BCDoz*{4..何..姿.:/NDG=/ABD=/CBD=45஺,/ABH=/HCN=90஺,BC=CD......••¯«1Ṻ±3n⌮┐45஺Tᑮ«2,磐..o冰••nEᙠZ84FᙠBD@..C.EFLAB...$./BEF=900.$.ZEFB=180°-Z.BEF-ZABD=450.4.NMFG=/EFB=450..9$GNLCD,GH1.BC,.0ᔁ224⚓4ᐳ31⚓O

244NGNC=NGND=NMHB=NMHC=9Q°.4ª{o{4ª{G”CNo{4ND2+NG2=DG2,ZNGD=]800-ZGND-ZNDG=45°.$.ZEMH=90°,EM=BH,NG=HC,NNDG=NNGD.$.ZGME=l^0°-ZEMH=90°,NG=ND.$.ZGME=ZGNC,NMGF=\80°-ZGME-ZA/FG=45°,MG2+MF1=FG2,ND2+NG2=ING2=DG24ND=HC.$.ZMFG=ZMGF,NG=-DG,BC-HC=CD-ND,BPBH=CN.2$.MG=MF,EM=CN.(MG1+MF2=IMG2=FG2.MG=—FG.2•tG஺Wn4$.DG=FG.$.MG=NG.$.AEMG/CNGீSAS).$.EG=CG.a⚪ὃcz*{Ḅឋ}4~{ḄoḄ'4Ḅឋ}4{ḄᑨᳮNឋ}4{ᑁNᳮ4¡¢¡4¥¦ᳮ4ᐰ¡{ḄᑨᳮNឋ}4¶ᔠ]ᵨjklmno⚪ᐵp.26.(l)y=x2+x-2(2)272(3)£W஺¸ᙠ>4¹nPᙶ᪗(-1,-2)ூᑖ᪆௃(1)᪷"n”Nn8ᙶ᪗ᵨᦪᓽ.225⚓/57⚓

25.....O.(2)½¾@~/C9()ᦪḄ¢¿ÀM᪷"À¢¿Ḅឋ}4PnBC4£..ᨬÂ^n஻9nNÄᔠ4Å8+MC_TᨬÆ>NC,᪷"()ᦪ᪆&n஺ᙶ..᪗4<᪷"¥¦ᳮᓽ..郛বnPW஺_LxÀ஺4~/CE,@P(p,p?+p-2),ᐸ-24PQ_T>4᪷"nANnCᙶ᪗ᵨ.....Oᦪ&~NC᪆4ÒÓᵨp⊤¬EPḄ4<᪷"()ᦪḄᨬ>&pḄ>,.RᐭÕÖᓽ..圜..প.的.?InØNn8ᙶ᪗RᐭÙᱥ᪆T=+”(-2)-2,空0=axl2+6x1-2..-E.....T4/耶..[b=1....,..Hᡠ\ÙᱥḄ᪆y=x2+x-2.O.黑.ফ..?᝞©«ᡠ¬4½¾M4,@~4C9()ᦪḄ¢¿ÀMW..脚期...何..姿......磐..冰.O......4......0ᔁ226⚓4ᐳ31⚓O

26•.•/(-2,0)ஹ5(1,0),.•.nANnBᐵ()ᦪḄ¢¿À¢¿4OA=2.:.MA=MB.$.MB+MC=MA+MC.^nM9nNÄᔠMA+MC_TᨬÆ>4ᓽMB+MC_TᨬÆ>AC..Ùᱥ᜛=/+à-29yÀnC,AC(0,-2).$.OC=2.AC=^OA2+OC2=25/2.$.MB+MCḄᨬÆ>2á.(3)?᝞©«ᡠ¬4nPWÀ஺4~4cE,@W(p,p2+p-2),ᐸ-2஺0,@~AC᪆y=kx+d.'$OA=2,OC=2,227⚓/57⚓

27o•OA=OC....1800-ZJOC..Z.OAC=ZOCA=-----------------=45.....P0_LxÀ,..郛•ZADE=90°.....$.ZDEA=180°-ZADE-ZOAC=45°......$.ZQEP=ZDEA=45°.....VPQ1AC,.O.•ZPQE=90°#EP2=QE2+PQ2..圜..$.ZQPE=1S00-ZPQE-ZQEP=45஺..的.9,/QPE=NQEP.空$.QE=PQ..-E...$.EP2=PQ2+PQ2=2PQ2...耶.....PQ=EP.,..H.O••^EP_T>4PQ_T>..黑...InZNn஺ᙶ᪗Rᐭ~AC᪆TW..脚期T,$=-2....何.....~4c᪆y=-X-2.姿......Eâp,-p-2ã.磐..冰.OAEP=y-y=-p--2p..Ep.-2,....^P='ᵫ=74EP_T>....APâ-l,-2ã.4.£W஺¸ᙠ>4¹nPᙶ᪗âT-2......O0ᔁ228⚓4ᐳ31⚓

28a⚪ὃcᦪ()ᦪ᪆4À¢¿Ḅឋ}4PnBC4£ᨬÂ4¥¦ᳮ4¡¢¡4{ᑁNᳮ4¡¢¡4ᦪᦪ᪆4()ᦪḄᨬ>4¶ᔠ]ᵨjklmno⚪ᐵp.2022-2023
ḕὃᦪ⚗ᓣ⚪9:;2Iᔁâ⌱'⌱ãçᔁèTᑖ'ஹᓫ⌱⚪1.©ᑡéḄoâã229⚓/57⚓

29OA.êᨵḄzᦪ4ᓾᨵḄíᦪB.ᙠînïðînñò4ᦪóñÆC.0ᜧ'ᑗöíᦪD.ᦪÀðînñò4⊤¬ᦪñᜧ2.÷øḄ}ùúÆ4'ûüýþᱥ÷øḄ}ùÿ0.000037
1=1000
:•0.000037
ᵨᦪ⊤翔..A.3.7*10-5B.3.7x10-6C.3.7x10"D.3.7x10-8.....3.ᙽ48C30஺ஹ60஺᝞"ᡠ᤮%&'Ḅ)&.....ᑖ+,-.஺.E,/&'Ḅ)&ᑖ+,-.0.A,1NCEO=50஺O.NBE4Ḅᜧ3.酸...的.宏.-E..C.135°D.130°...耶...4.4ᑡ6789Ḅ:..,..HA.5ab-36=2஺B.2a2b-^b=2a2<0OC.஺-12=a2-1D.-3a2bF2=6a4b2黑...5.᝞"ᡠZU4CḄ⚔.ᙠ8?@ABḄB.CDhan%ḄE.W..邸期...何..松......磐..冰.O......氐.............OFᔁH30⚓ᐳ31⚓

30A.yB.—C.2D.2>/2226.᝞"K☢C%ḼNឋPQRḄST":7.ᙊ┵W☢ᙊḄXY6m,RḄZ☢[60ᐔcnAᑣ^Nᙊ┵Ḅ_:A.6cmB.8cmC.10cmD.12cm8.`a-ᵯcᖪeḄfghijk᛻Ḅᦋᗐopqrst⌴vᡂᡃyz{Ḅᓛ“~”2018ᡃyt⌴ve5072020t⌴ᑮ700t⌴ᙳ᳛x.ᑣ4ᑡ?89Ḅ:A.507(l+x)=700B.507(1+2x)=700H31⚓/57⚓

31.....O.C.507(l+x)=700D.700(1-x)=507...9.ᙠᙶ᪗¢£ᦪ¤=¥+¦£ᦪy=-஻x2+2x+2¦:ªᦪ1”7#0Ḅ..翔.............O..酸..您..I1HIIᔁ⌱⌱-E..耶..³ᔁ´µᑖ.,H¯ஹ°±⚪O黑.10.᝞"ᙠ¶@N8CDAB=AC,ஹEஹ0ᑖ+&A8ஹ8cCḄ.1=»..W¼CEஹ/0,-.»¼஺,¾C-.O.4ᑡÀÁÂজ2AC/EÄঝÆ4C=120஺Ä..ঞ/+C7/=஺HÄট/£2=OD஺//.ᐸÀÁ89Ḅ:脚期...何..登......般..冰.OA.@@B.জঞটC.ঝঞটD.জঝঞট...11.167Â2cos30஺+Ò3|-Ôx2022-7r°+-l23..2ᐜᓄÙÚÛEÂH7-jÔÝᐸx=¥.氐12.᝞"ᙠ¶@43co.E,0ᑖ+:&AD,45Ḅ.......(1)ÛàÂAABE^ADFÄ........FᔁH32⚓ᐳ31⚓O

32(2)HBE=&,ZC=60°,Û¶@/BCOḄ☢[.13.âãäåḕᦟèᔉêëḄ“ìᦟè”.ᙠíî⁚ᩭñò▭ô᪥ö÷øùúh“û᰿ìý,þìÿ
឵᱄''⚪Ḅᦟᙠ᪥50ᙳᕜᙠḄᑴ"᝞$Ḅ⚣ᦪᑖ(⊤*ᡧ,-./0Ḅ⚣ᦪ⚣᳛Al840.08233⚓/557⚓

33.....O.᪷789:;<=$ᑡ?⚪:..(1)a=,b=...(2)ᙠᡧ,-JB/ᡠᓰᙊOPḄQᦪ.郛(3)ᐰ᪥ᐳᨵ2000WXY᪥ᙳᕜZᨵ[\4^ḄW_ᨵ`[a...14.᝞-bcd^eḄfg10hijkḄlmAC="30"m’ᵫᙢ☢ᔣ8wx21hஹ.....22h....210hhzQ3m.Ꮇ|d}~ᵬkᙠk☢ḄEC=h,□ᐝ.....ḄᜳPa..O..圜...的.空.-E.....耶.....,..H(1)ᵨaḄ⊤h(ZᨵᢣaḄ)O.(2)a=30஺ᵬkk⚔BḄᙠkḄ2h¡a^¢£15஺¥¦§^黑..¨ᵬkḄ©ªZᨵ«k¬ᐝ.W.15.^ᙠ®}ᐗ°xZᨵ±Ḅ²³´µ¶·¸ᵨ¹Jᡠcº“ᵨ¼ᑖ²³²}.脚期ᐗ°x½¾”Ḅ½³À².½³᝞$...²Zᨵ±.X2-4>0.何...姿..W.VX2-4=(x+2)(x-2),....磐..冰.O•••ÈZᨵ±¶ᓄ(x+2)(x-2)>0..:fᦪËÌÍÎ...…[x+2>0[x+2<0.°জÒnᡈঝ„yx-2>0[x—29<0.4ᵫজÙx>2,ᵫঝÙx<-2,..ÈZᨵ±Ḅ²Úx>2ᡈx<-2.....Ûᔁ234⚓ᐳ31⚓O

34Ýᵨ·8½³²$ᑡZᨵ±:
IX2-9>0;ফ*<0x-116.᝞-ᙠ஺஺JáâABᚖá\äCD,ᚖåE,æçAC,è“CEéACêᢚÙᑮ“CF,áFCáABËí\G.î1ïáFC஺஺ᨵñòóᐵõöᳮᵫ.M2FH08=GB=2,ÀGFḄ.17.⋰□ûdüýþ᩽
“”ḄẆ.ẆஹḄᡂ30ᐗ/!"#$y'(!)ᐵ+,-x'ᐗ/!)Ḅ/ᦪ1᪆34J-2x+140'40

35O'3)ᙠᱥvVᔲ©ᙠ+BஹCḄtM,«}MBCmBC£vḄ¬7ᡃWA©ᙠOtMḄᙶ᪗PAYᨵ©ᙠK®¯ᳮᵫ........翔.............O..酸..翅..²²ᔁ´FFᑖᑖI---------------ஹ¶·⚪1-Z:..郛.19.ᑖ1º342x2-8=...20.ᵬஹ¼q´½¾¿10ÀÁÂḄfᙳᡂÄᙳ7Å10À¾¿ᡂÄḄ¢ÆᑖÇV4S2Qfe=3,£¼=1.2.ᡂÄÉÊ^ḄV.'¶“ᵬË“¼”)O媒.21.᝞dfÌ£48cD,£■VϤvtÐÑ஺E8c+ÓtᙠYᨵÔ..出ÕÖ×ØÙḄÚÛÜK⊡ᐙrᩩ!«}C஺Óà}8EF,rᩩ!V.'á¶r)..邮期..母..弟.....22.᝞dLâã+%å*0)çLè஻3'Õ/0)+tÓ'-1,-2),ᑣᐵ+xḄYᨵê3..®...Okx+b

3623.᝞d஺஺ḄLî48çïCDð+tP,"N4PC=45஺HPC?+PD2=32,ᑣ஺஺Ḅxî.24.᝞dᙠRtZ\48CmZACB=90°,AC=BC=\,ñRtZ\4SCò/t⌮T┐õö30஺÷Fᑮ}/DE,tBḄøîùᑣdm▢ûüᑖḄ☢~V—¥37⚓/§57⚓

37

38?ᫀ:1.Bூᑖ᪆௃⚪⌕ὃᜧᦪஹᦪஹ0ḄᜧḄᙠᨵᳮᦪᑁᦪḄᜧᯠ!"⚪#$%&'ᦪ(.ூ+௃Aஹ-ᨵ./0-ᨵḄᦪ1-ᨵḄᦪ$2345.Bஹ678☢:67;<ᦪ;ᜧ67=☢ᑣ;<;?.Cஹ@ᦪᓽ-ᨵᦪBᒹDᦪ0,ᡠ%4஺ᜧGᑗ@ᦪ-ᨵ.Dஹ67=☢ᦪ:67;<ᦪB;┯J.⚪ᐵLᦪ(ᨵGMN?Ḅᦪ(O67⊤Q0,678☢⊤Qᦪ67=☢⊤Qᦪᦪ(OḄ7⊤QḄᦪ;R8;ᜧ;R=;.2.Dூᑖ᪆௃U1Ḅᦪ1$%ᑭᵨXYZᦪ[⊤QG\]^/axlO",_ᜧᦪḄXYZᦪ[-ᨵ`ḄᐸᡠbᵨḄᢣᦪdᢣᦪᵫ6ᦪ=fgM-ᨵ/hḄᦪij☢Ḅ0ḄMᦪᡠk.ூ+௃ll0.000037mn=0.000000037n••-0.000000037=3.7xW8ᦑ⌱:D.⚪ὃᵨXYZᦪ[⊤QḄᦪG\]^/axlO஻ᐸsl<|a|<10,஻/ᵫ6ᦪ=fgM-ᨵ/hḄᦪij☢Ḅ0ḄMᦪᡠk.3.Bூᑖ᪆௃t1⚓/w57⚓

39•・・♦ᐜᑭᵨz{]᜜{ឋ~ᑮNFDE=NC+NCED=140஺ᯠ᪷Ḅឋ~ᑮNBFAOḄᦪ...ூ+௃..ZFDE=ZC+NCED=900+50°=140°,.DE\\AF,图..ZBFA=ZFDE=140P......ᦑ⌱B......O.⚪ὃḄឋ~l`{`ᑁ{⊡.品ᑁ┯{...4.B施.Vூᑖ᪆௃£■..痣.ᔜ⚗ᑮᓽ$ᑨ..ூ+௃.一l/ஹ6^-ᨵᔠ-ᨵ¡ᔠ⚪¢O摒.Bஹ6^=202,¡ᔠ⚪¢.W.Cஹ6^=¤-2"1,-ᨵ¡ᔠ⚪¢..Dஹ6^=9/஻-ᨵ¡ᔠ⚪¢邮擦ᦑ⌱lB..叵..剌.....⚪ὃ᦮^Ḅ§ᔠ¨©ª«¬¨[ᑣ⚪ḄᐵL..磐..冰.O5.A...ூᑖ᪆௃..᝞®¯°7E,±²BE,᪀⌼{z{]ᑭᵨz{µᦪ"⚪ᓽ$l氐ூ+௃..᝞®¯°7E,±²BE,..........ºᔁt2⚓ᐳ19⚓O

40ᵫ⚪¢l4EB=90஺BE=CAE=Q*+*=2..BE1AE22ᦑ½ᫀ⌱A.⚪⌕ὃ{z{]Ḅᐵ¿7N?᪀⌼{z{]ᑭᵨÀÁkᳮÂf⚪ḄᐵÃ.6.Dூᑖ᪆௃ÄᑖÅÆÇÈḄzÉ®ᓽ$ூ௃lឋÊËḄÌÍᜧÎ☢ÍÏO☢ÐᑮḄM`Ñᙊ.ᦑ⌱D.⚪⌕ὃÆÇÈḄzÉ®ᑨÆÇÈḄzÉ®#ÓᓫḄ7.Bூᑖ᪆௃t3⚓/w57⚓

41ᐜ᪷ᙊ┵ḄÖ☢×Ø^Âᙊ┵ḄÙÚᯠᑭᵨÀÁkᳮÂᓽ$.Oூ+௃lÛÜMᙊ┵ḄÙÚ/km,᪷⚪¢lyx27tx6x/=60n,/=10,ᡠ%ᙊ┵ḄÝ=,1()2=8(cm).ᦑ⌱lB.⚪ὃᙊ┵Ḅ¿ᙊ┵ḄÖ☢ÞÅ®/Gᡧ],ÜMᡧ]ḄáÚᙊ┵Î☢ḄᕜÚ,ᡧ]ḄãÍᙊ┵ḄÙÚ«¬d¿ᐵL.O8.Cூᑖ᪆௃Ûä⌴æᙳèéêÚ᳛/x,᪷ᡃí2018éî2020éḄä⌴ïðæᓽ$ᐵxḄGᐗòóôõ⚪.ூ+௃Ûä⌴æᙳèéêÚ᳛/X,Oö⚪¢l507(1+x)2=740.ᦑ⌱lC.⚪ὃᵫ÷▭"⚪ùúGᐗòóôõûNæᐵü?ᑡGᐗòóôõ⚪ḄᐵL.9.Dூᑖ᪆௃Oᑖþ0îÿ0
ὃ⇋ᦪḄ᯿⌱⚗ᓽ.ூ௃/ஹᵫᦪ!MX+ᑗḄ#“0,ᓽᦪ%-s?+2x+2&'(ᔣ*+,-ᨵI/ᦑ/⌱⚗┯23L)1Bஹᵫᦪ!4x+5Ḅ#50,6789=-<=-=>=—0,ᑣ67@ᙠy72a-2mmBC,-ᨵ/ᦑ8⌱⚗┯23DᔁF4⚓ᐳ19⚓O

42C>ᵫᦪ!mx+4Ḅ#஻z>0,ᓽᦪ!■492+29+2&'(ᔣ*M,-ᨵ/ᦑ஺⌱⚗┯23Dஹᵫᦪ!O+PḄ#m<0,ᓽᦪ%-4/+21+2&'(ᔣ*+678x=-^-=-^-=~<0,ᑣ67@ᙠy7BC,P/ᦑ஺⌱⚗RS32a-2mmᦑ⌱D.T⚪V⌕ὃXᦪYZ[ᦪḄᡠḄ▲Ḅ^⚪ᐵ`a4ḄRbḄScdZ[ᦪ!a/+6/c,e஺>0g&'ᔣ+3e஺<0g&'ᔣM.678i->,y2a"7Ḅjkᙶ᪗8(0,c).10.Dூᑖ᪆௃ᵫqrABCDsAB=BC,tuA/OCavwxyrZB=NE/C=60஺ᵫSAStu"8FMC4Eᑨ{জ3ᵫᐰvxyrḄឋ=ᑭᵨxyr᜜yឋᑮ4஻C=120஺ᑨ{ঝ3ᙠ஺+"P=/"%,tukAஹCஹ஺kᐳᙊtu/"!avwxyrᵫAAStuᵫZ)H=ZW+PO=/+”Cᑨ{ঞ3k஺஺GLCHdkG,஺K_L4j!/ḄdkK,yᑖḄឋ/41஺+/஺=18&,tuA/OKMCDG(AAS),tu஻஺ᑖ4HC,Wᑮ4HD=NCHD=6(T,tuA/CO2A"஺/,᪷Pxyr@wᡂᑨ{ট.ூ௃জ•••wr488aqrAB=BCAB^AC$.AB=BC=AC:.“DCavwxyrvAB^ACZB=ZEAC=60°“BFNCAEF5⚓/¡57⚓

43•:•BF=AEo

44BFCটk஺஺GJ.C”dkG,஺K_LE4j!/ḄdkK,᝞•;AABF@CAEZ.BAF=/ACE•ZACE+ZFCE=6(T9,NBAF+/FCE=6CP:.NAHC=NAFC+NHCF=/B+NBAF+/BCE=120••ZADC=60°•./HAD+/HCD=180஺•/HAD+NKAD=18(fZJiCD=ZKAD.•.¢ZOK*CDG(AAS)•.DK=DG••DGLCH.DKVFA:.HD\ᑖAHC•.ZAHD=ZCHD=6(F•NADH=ZODA#“DOfHDAAD1=ODDHᦑটRSᓽRSḄᨵজঝঞটᦑ⌱DF7⚓/¡57⚓

45•・・♦T⚪ὃXqrḄឋஹᐰvxyrḄᑨc,ឋஹvwxyrḄᑨc,ឋஹPxyrḄOᑨc,ឋv#¨RSḄ©ªa⚪ᐵ`...11.(1)43(2)2x,6...图ூᑖ᪆௃..(1)᪷¯ᦪḄ°±²ᑣ³±3.....(2)ᐜ³±µ¶sḄ·ᑖ¸ᑖ¹4º²»◀²ᓄ8¾²¿ᑖᓄÀ»Á¸ḄÂÃᐭ....³±ᓽ..O.ூ௃.品(1)Ź=2x3+3-È1+1.2.施.=6+3-É+1V=43£■..(^ᔣQx(x-l)-x(x+l)x_2痣.(2)Ź-(x+l)(x-l)-(x+l)(x-l)..一3x*2-3x-x2-x(x+l)(x-l)O(x+l)(x-1)x-2摒.._2X(X_2)+W..(x+l)(x—1)x-2.邮擦2x(x-2)(x+l)(x-l)=-------------------X----------------------.(x+l)(x-1)x—2叵..剌...=2x...磐..冰.Oeg2.Ź=2x3=Ï..2...Ð⚪ὃXѯᦪḄÒᔠ°±Yᑖ¹ḄᓄÀÂÔÕÖᢣᦪØcÙxyᦪÂÚÛÜÝ氐¯ᦪḄ°±²ᑣஹyḄRᑗÂஹᑖ¹ḄᓄÀ,Âa⚪ᐵ`....12.(1)Þ᪆3(2)2G..........DᔁF8⚓ᐳ19⚓O

46ூᑖ᪆௃(1)ᑭᵨqrḄឋᵫS/Stu"8E"஺!ᓽ3(2)t48஺avwxyr/£(ᓽ.ூ௃(1)tu•.•wr/88aqr$.AB=AD,•kE,!ᑖæaw/஺N8Ḅsk$.AF=AE,ᙠZX/BEY“஺!sAB=AD,4=4,AE=AF9.AABEGAADF(SAS)9(2)8஺᝞,wr48C஺aqr$.AB=ADZA=ZC=60°,f¢/)avwxyr

47T⚪ὃXḄaqrḄឋvwxyrḄᑨc,ឋqrḄ☢èḄ³±ÜÝÔ+#¨aO⚪Ḅᐵ`.....13.(1)15,0.163(2)114°3(3)1080(í)......图ூᑖ᪆௃....(1)î#¡íᦪºïᐸñ4òḄíᦪᓽ8aḄÂDòḄíᦪ◀Ô¡íᦪᓽ....bḄÂ3.....(2)Bòíᦪᓰ¡íᦪḄÏᑖ¾Ô360øᓽù.O.(3)ᐜ᪵Tsᙳüᕜþÿ
ᨵ4
ḄᡠᓰḄ⚣᳛ᙠᵨ᪵.品Ḅᓽ...ூ"௃施.(1)a=50-3-4-8-20=15,b=8-50=0.163nᦑ15,0.163£■..痣.(2)B6ᡠᓰᙊ89Ḅ:ᦪ<20+50'360஺=144஺3.ᦑ114°3.一(3)2000x(0.3+0.08+0.16)=1080(B)ᓽC᪥EᙳGᕜIJ
ᨵ4
ḄO摒.Kᨵ1080B..W.C᪥EᙳGᕜIJ
ᨵ4
ḄKᨵ1080B..邮擦⚪ὃNO⚣ᦪᑖQRSḄTUVᑭᵨXSYZ[\ḄTU.ᑭᵨXSYZ[\
,..叵...]^_`abஹᑖ᪆ஹẆfXSgThijkḄᑨmVno⚪.p
ὃNqᵨ᪵剌.....Ḅrs..磐..冰O14.পh=30-30tana.(2)xyz1
{...ூᑖ᪆௃..(1)|}EhEF_LABFACEF,BF=3xlO-h=3O-hRtZXBEF,氐h=30-30tana....(2)᪷⚪ᑖ᪆B}ḄᙠCᜐ
ᵬḄᨵᐝ3....45-30..ᑖ᪆AABCᔳ=1(
)ᫀ.....O£ᔁx10⚓ᐳ19⚓・・・・

48ூ"௃©1|}EhEF_LABF,ᵫ⚪«¬ACEF<.EF=AC=30,AF=CE=h,ZBEF=a,ABF=3xlO-h=3O-h.BFᙠRtZkBEF®tanZBEF=——,EF30-/zan¯.tana=,BP30-h=30tana./.h=30-30tana.
2a=30஺
A=30-30tan30°=30-30x—«12.7,3V12.7-3M.2,AB}ḄᙠḄxyz.B}ḄᙠCᜐ
ᵬḄᨵᐝ.°
ᵫAB=AC=30,rAABC±²ῪR9´9•,.ZACB=45°,45-30,,z—=1©
µ.ᦑ1
{ᵬḄᨵᐝ.15.
lx>3ᡈx<-3ூᑖ᪆௃x+3>0x+3<0©1µ᪷⚪·¸ᨵ²¹6ºᡈ஺ºᨵ²¹ᓽ»;[x-3>0[x-3<0©2ᑭᵨ“·ᦪ¾◀pÀjÁÀ”⚪ÄḄᑖÅÆÇᓽ.
1V—9=(x+3)(x—3),x11⚓/57⚓

49/.(x+3)(x-3)>0.OᵫᨵᳮᦪḄËᑣ”·ᦪ¾ËpÀj“ᨵ....x+3>0x+3<0.জᡈঝ..x-3>0x-3<0.图Ïᨵ²¹6জx>3.....ᨵ²¹6ঝx<-3,.....ᦑÑᨵ²¹ḄÒ3ᡈx<-3,...OᓽÓᐗÏÕᨵ²¹Y-9>0ḄÒ3ᡈx<-3..ফ.品.ᵫ⚪ᨵ²¹<0,.x-1施.᪷“·ᦪ¾◀pÀjÁÀ“nx+l>0X+1<0£■.জᡈঝ.x—1<0x-l>0痣.ᨵ²¹6জ..一ᨵ²¹6ঝÙO摒..•.Ñᨵ²¹ḄÒ<.W..°⚪ὃNÓᐗᨵ²¹6ḄÛᵨᑖ¹ᨵ²¹ÜÝ᦮¹²rs⚪Ḅᐵà±áᵨâᓄ.邮擦Ḅäåäὃo⚪æ®ὃçὃ⚪è...叵..16.পé᪆.剌....(2)373..磐..冰O.ூᑖ᪆௃..(1)ëì஺C,ᵫO/=OCᑮN1=N2,ïᵫðᢚZl=Z3,ZF=^£C=90°,ô..ᑮ/2=/3,õöOC஻//ᵫ·RøEpù9¾²3氐OCOC1(2)ᙠ7?MOCG®ᵫcosNCOG=^7=NCOG=60஺᪷.OG2OB2.....CE=K,CG=26,᪷ᢚḄឋᵫGF=FC+CG=CE+CG!ᓽ#......(1)..O(ᔁ*12⚓ᐳ19⚓：・・

500123஺஺4ᑗᳮᵫ᝞8,9:OC,•$OA=OC•./1=/2ᵫᢚZ1=Z3,ZF=Z4£C=9O°..Z2=Z3/.OC//AF..NOCG=/<=9(F123஺஺4ᑗ=(2)ᙠH3OCGcos/COG=^="1_OG2OB2.•.NCOG=60°Rt^OCE?,CE=OC-sin60°=2x—=732•••1AABᚖ1CCD,$.ZCOG+ZCGE=ZGCE+ZCGE=96...NCOG=NGCE=60P:.CG=CE=ᙶ=2Ecos60°j_2ᵫᢚFC=CE:.GF=FC+CG=CE+CG=6+273=3>/5.*13⚓/F57⚓

51G⚪ὃJᙊḄLᔠNOᚖAᳮஹᑗ2Ḅᑨ3ឋஹஹᢚRᣚTUVWX4ᐵOUVZ⚪ᐵ[.....-2x2+200x-4200(4055h/£xḄ¤ᜧ¦§¨冰O..•._x=60hstuue-(60-55)2+625=600,.....•/800>600....,._x=50h©tu800..氐_`abḄcde50ᐗ/gh`abḄiᑭkᑭke800lᐗ....(3)_400<60hª%=750,-2(x-50)2+800=750......¬ᧅ=45,%,=55....(ᔁ*14⚓ᐳ19⚓O

52ᵫᦪ®=-2(x-50)2+800Ḅឋ#U,_45W¯55h°750._60M70hḄue600<750ᡠ²⌕nop`abḄiᑭkqᨵsC750lᐗ`abḄdx(ᐗ/g)Ḅtuwe45³55.G⚪´⌕ὃJᦪḄµ▭·ᵨ¹ᳮ⚪º?Ḅᦪyᐵ»4Tᐵ»¼ᑖᑡᦪ᪆¾¿ÀᵨᦪឋÁᨬuZ⚪Ḅᐵ[.18.(1)Ãᱥ2᪆ey=x2-4x-5=(2)ÅÆe2Ç-2ᡈ29+2=(3)Éᙠ.ᳮᵫÊ᪆=ூᑖ᪆௃(1)᪷|OAk|OB|=105,|OB|=|OC|,ZXABCḄ☢ÌSAABC=15,ÍQB|=|OC|=5|OA|=5m,#(m+5m)x=15,ÁmḄuΦᑮAஹBஹCÐÑḄᙶ᪗ᑭᵨÓ»ᦪÔÁ5mᦪ᪆0(2)ÍÑEḄᙶ᪗ᓽᡚᓭFḄᙶ᪗᪷×ØÙḄឋᑡØÚᓽ#=(3)ᑭᵨÓ»ᦪÔÁᦪ᪆᪷ᦪ᪆ÍᦪÛÜÝÑḄᙶ᪗ᑭᵨÑᑮ12ḄÞßàᑡᐵCnḄØÚ!ᓽ#.ூ௃0পV|OA|0|OB|=105,|OB|=|OC|,ÍOA=m,â!JOB=OC=5m,AB=6m,ᵫAABC=gABxOC=15,6mx5m=15,m=l(äåæu)AA(-I,0),B(5,0),C(0,-5),ÍÃᱥ2᪆ey=a(x+1)(x-5),çCÑᙶ᪗èᐭa=l,.,Ãᱥ2᪆ey=(x+1)(x-5),ᓽy=x2-4x-5=(2)ÍEÑᙶ᪗e(m,m2-4m-5),Ãᱥ2êëìex=2,ᵫ2(m-2)=EH,2(m-2)=-(m2-4m-5)ᡈ2(m-2)=m2-4m-5,m=liVn)ᡈm=3íJid,*15⚓/F57⚓

53Vm>2,111=1+5/10ᡈm=3+JI6,ÅÆEF=2(m-2)=25-2ᡈ2M+2=î3Éᙠ.ᵫî1#U0B=0C=5,.•.ïOBCeTῪ1ñÐñÙ12BC᪆ey=x-5,ò⚪ó12y=x+9ᡈ12y=x-193BCḄÞße7&,ô_#=x+9}=x-19ὶ=/_²-5'[7-4X-5'.♦.MÑḄᙶ᪗e(-2,7),(7,16).19.2(%+2)(%-2)ூᑖ᪆௃1:øtàù2,ᑭᵨúØûàᑖù!ᫀ.ூ௃02x2-S=2x(x2-4)=2(x+2)(x-2).ᦑ2(x+2)(x-2).þ⚪´⌕ὃJÿ
ᑖᵨᑖ⚪ᐵ.ᔁ16⚓ᐳ19⚓

5420.ூᑖ᪆௃᪷"Ḅ$%ᑨ'()ᦪ"(+$.ூ,௃-S/=3>S/2=L2,ᨬ)Ḅ-ᡠ0⚪1ᡂ345+$Ḅ.ᦑ7.0⚪ὃ9:Ḅ;%ᵨᩭ⊝>?@ᦪ"ABᜧ)Ḅ>(ᜧ⊤EF@ᦪ"GHᙳᦪ(ᜧᓽAB(ᜧᦪ"(Kᨵ+$MNO()⊤EF@ᦪ"ᑖP45Q1ᔜᦪ"GHᙳᦪ()ᓽAB()ᦪ"(+$.21.BF=FCSTᫀKᨵVூᑖ᪆௃᪷"WXYᐰ[Ḅᑨ'TSAS,ASA,AAS,SSS,HL[.ூ,௃\]^_8`=/CᑣᙠcdeY/8CZ1■$AB//DCZC=NCBE•••Z.CFD=ZBFE,BF=FC$.ACFD*BFE
ASAᦑBF=FC0⚪ὃ9ᐰ[WXYḄᑨ'fẠὃhijkᐵlm⚪ᐵ.22.xூᑖ᪆௃᪷"noplqrsth`Ḅᙶ᪗᪷"nopwxyx>Tzrsᔆ|+6ᙠrs`mx}ᓽp~ᑮTᫀ.17⚓/57⚓

55•・・♦ூ,௃o\ᵫnopl\`hḄᙶ᪗(-1,-2),..yx>Tzrsy=/nxᙠrs`Ax+6.ᓽᐵxḄKᨵ[kx+b£-EP)2,.=CE2+2CEEP+EP2+DE2-IDE-EP+EP2,..=2CE2+2EP2,氐=2(C£2+EP2),...=2(CE2+OE2),.......2R2=32,..oᔁ18⚓ᐳ19⚓：・・

56~\¢=4.ᦑ4£⚪ὃ9ᚖ$ᳮ[ῪrXWXYḄឋ¦[§PC?+PQ2=32cY⚪Ḅᐵ.ூᑖ᪆௃ூ,௃VZACB=90°,AC=BC=\,.'•AB=y/2>c$.RtAABCdAh⌮z┐ª«30஺¬~ᑮRt/XADE,$.Rt/\ADE^Rt/\ACB,7CMS▢fg4)=S&4DE+S“hABD-S“iBC=SᡧhABD=7.oᦑTᫀ-619⚓/57⚓