2023年湖北省孝感市中考数学试卷

《2023年湖北省孝感市中考数学试卷》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。

2018
ᓅḕὃᦪᔁஹ⌱⌱Ḅᑨᜧ⚪10⚪⚪3ᑖᐳ30ᑖᙠ⚪$Ḅ%&⌱⚗(ᨵ⚗*+ᔠ⚪-.Ḅ/0┯0ᡈ0Ḅ3456&78஺ᑖ:11.3.00ᑖ:2018•:--Ḅ᎔ᦪ*:41A.4B.-4c.D.1642.3.00ᑖ:2018•:᝞ABCAD஻BC,ENl=42°,ZBAC=78°,ᑣN2ḄGᦪH:A.42°B.50°C.60°D.68°3.3.00ᑖ:2018•:IᑡK/LMNḄOPᙠᦪQR⊤T᝞AᡠTᑣV/LMN*:(%-1<3(%-1<3%-1>3(%-1>3A.B.D.U+1<3%+1<3(%+1>3X+1>34.(3.00ᑖ)(2018•)᝞AᙠRtAABC,NC=90°,AB=10,AC=8,ᑣsinALZ:4D.35.3.00ᑖ:2018•:Iᑡ[\]^Ḅ*)A._O“abᜩd᜜▅ghijkḄlm"ᨬ〉ᔠḄqrsM*ᐰ☢qr

1B.ᵬwxyz{ᔜ10}ᐸᡂḄᙳᦪLSᵬ2>sw2,ᑣᵬḄᡂwC.ᑖᨵLᙊḄᓱᱏាᑮAᓱᱏḄᭆ᳛*1D."&ᐸᑁ*360஺”¢£¤*/¥¦£¤6.3.00ᑖ:2018•:Iᑡ§¨]^Ḅ*:1A.a24-a5=—B.a+b
2=a2+b2C.2+V2=2V2D.a3
2=a5a77.3.00ᑖ:2018•:᝞A,ABCDḄCAC,BD©ZªO,AC=10,BD=24,ᑣABCDḄᕜ¬H:4xy8.3.00ᑖ:2018•:®¯x+y=4V5,x-y=V3,°IM±x-y^------:x+yx-y-²:Ḅ³*
x+yA.48B.12V3C.16D.129.3.00ᑖ:2018•:᝞Aᙠ^ABCZB=90°,AB=3cm,BC=6cm,´ªPªAµ¶·ABᔣªB¹lcm/sḄºG»´´ªQªBµ¶·BCᔣªC¹2cm/sḄºG»´EP,QxªᑖA,Bxª¼j$½Pªᑮ¾Bª¿´ÀÁᑣÂPBQḄ☢ÃS$½jktḄÄᦪᐵÆAÇᜧÈ*:APlBQ

210.3.00ᑖ:2018•:᝞AAABC*L4ABD*LῪBZBAD=90°,AELBDZªE,ÊCDᑖ©AE,ABZªF,G,6ªAËAH1CD©BDZªH.ᑣIᑡÌÍÎজNADC=15°ÏঝAF=AGÏঞAH=DFÏ@AAFG^ACBGÏঠAF=V3-1
EF.ᐸ]^ÌÍḄ&ᦪH:ÐஹÑÒÒḄÓÔᜧ⚪ᐳ6⚪⚪3ᑖᐳ18ᑖ:11.3.00ᑖ:2018•:ÕᙢᳫØÙ□ÕkḄÛÜjkÝÞᓄ1&ᜩᦻᓫâ*ᙢᳫØÙ□ḄᙳÛÜᓽ149600000ᓟåᵨçèᦪ\⊤T1&ᜩᦻᓫâ*ᓟå.12.3.00ᑖ:2018•:᝞A*&éêëḄìAAíîᓫâÎcm
,᪷ðAᦪ𧨢&éêëḄ⊤☢ÃHcm2.13.3.00ᑖ:2018•:᝞AñᱥCy=ax2ØBCy=bx+cḄx&©ªᙶ᪗

3ᑖHA(-2,4),B(1,1),ᑣsõax2=bx+cḄO*14.3.00ᑖ:2018•:ö஺஺Ḅ÷øH10cm,AB,CD*஺஺ḄxᩩúAB஻CD,AB=16cm,CD=12cm,ᑣúABCDÕkḄÛÜ*cm.15.3.00ᑖ:2018•:ᡃüý3ᦪþᩰ
᝞ᡠḄᡃ஻ᩰ஻ᑡᦪ1,3,6,10,ai=l,a=3,33=6,234=10,…34+311-2aio+lOḄ.11112113311464115101051I61520156116.3.00ᑖ#$2018•&'#᝞ᙠ)☢+ᙶ᪗./0ABCDḄ⚔2AḄᙶ᪗$-1,1
,2Bᙠx3/4352Dᙠ67▲Ḅ9:;y25x<2C=CE//X3>9:;?2E,@ABE,ᑣ4BCEḄ☢C.ஹᵨFGGGHHIJḄKLM$Nᜧ⚪ᐳ8R⚪Sᑖ72ᑖ#17.6.00ᑖ#$2018•&'#TU-3
2+|-4+V12-4cos30°.18.8.00ᑖ#$2018•&'#᝞B,E,C,Fᙠᩩ+;5WXAB஻DE,AC஻DF,BE=CF,@AAD.YZ[\ABED)][\.

4AD19.9.00ᑖ#$2018•&'#ᙠ&'^ᐵ`abcḄ“efRgh”j⚪ᦟlmnᡃ^oᜩq᪥bcᐰ᪥qtuv“wxyz{ᡃᡂ}"XᑖuqtḄᡂᢥᑖᑮᑖᡂᑖᡂA,B,C,D,Eeᑴᡂ☢᦮ḄT40-35-30252015105"W?᪷5☢Ḅᑡ¡⚪l
Dᡠ¢£ḄᙊF¥᪵NᡂḄ§ᦪ¨ᙠ©⊡ᐰᩩT«2
¬Aᨵ2¯ᵱt±2¯᝕t³⌱µ2¯qt¶·᪥¸¹º“&F»ᡃ]"⁚½jᢝ¿Àᵨᑡ⊤ÂᡈÄ᪛ÆÂYាfᑮ1¯ᵱt±1¯᝕tḄᭆ᳛.20.7,00ᑖ#$2018•&'#᝞AABCAB=AC,RÊËqᑭᵨ+ͱᙊÎᡂ᝞Ï=জ=NBACḄ)ᑖ;AM>BC?2D«ঝ=\ABḄᚖ+)ᑖ;EF,EFÓAMÔ>?2P«ঞ@APB,PC.ÀÖ×Øᑡ¡⚪$1#;ÙPA,PB,PCÚḄᦪÛᐵ.«2
¬NABC=70஺YNBPCḄ¥ᦪ.

521.9.00ᑖ#$2018•&'#WXᐵ?xḄᐗÞß0à$x-3#x-2
=pp+l
.1
áZâãäpåæ0àçᨵèᦪ᪷«2#¬é0àḄ᪷Xl,X2SêxFX?-XlX2=3p2+l,YpḄ.22.10.00ᑖ#$2018•&'#"ëì☘îïðîñî"³Ḽtmì)Ḅ,¿¢ôìõöḄ◤Yøᩭø&'^úûgü᪷^ý◤YþᳮA,B
ḄᘤAᘤBᘤ200ᐗᵨ5ᐗAᘤᵨ4.5ᐗBᘤḄᦪ.1AஹBᘤḄᔜᐗ2
!"#$%ᑜA,B
Ḅᘤᐳ50()├ᐸ,Aᘤ-x./01239.8ᐗ.)├4Aᘤ52500ᐗBᘤ52180ᐗ!"#$678├5AᘤḄᑭ:,ᢥᣎ=a70-#$?ᢄAB᩟Dᦋ⌼/0G!"#$5H50ᘤIᣎ=ᢄA/0JKLḄᑭ:-W,WḄᨬᜧO.23.10.00ᑖ2018•RS᝞UZXABC,AB=AC,VAB-WXḄ஺஺ZBC[\D,ZAC[\E,3\D>DF_LAC[\F,ZABḄ]^_[\G.1
`aDF஺0Ḅᑗ_c(2)deBD=2V5,CF=2,AEgBGḄ^.24.13.00ᑖ2018•RS᝞U1,ᙠi☢Wkᙶ᪗nxOy,de\Ag\

6BḄᙶ᪗ᑖo-A(-2,0),B(0,-6),pRtAAOBq\0ᢥr4┐tᔣᑖovw90஺180஺LᑮRtaAiOC,RtAEOF.yᱥ_Ci{3\C,A,Bcyᱥ_C2{3\C,E,F.(1)\CḄᙶ᪗-,\EḄᙶ᪗-cyᱥ_JḄ~᪆-.yᱥ_CḄ~᪆-c2(2)᝞\P(x,y)W_BCtyᱥ_CiḄ\.জNPCA=NAB஺4P\Ḅᙶ᪗cঝ᝞U2,3\P>xḄᚖ_ZW_BC[\M,Zyᱥ_C2[\N,h=PM+NM+0BM,hxḄᦪᐵn-54W-24hḄO.

72018ᓅḕRS,ὃᦪ)ᔁὃᫀ⚪᪆ஹ⌱⌱¡Ḅᑨ£¤¥ᜧ⚪10§⚪§⚪3ᑖᐳ30ᑖᙠ§⚪¨Ḅ©⌱⚗,«ᨵ⚗ᔠ⚪¯Ḅ1°┯°ᡈ°Ḅ³23´L஺ᑖ11.3.00ᑖ2018•RS-Ḅ᎔ᦪ41A.4B.-4C.-D.164ூὃ\௃17a᎔ᦪ.ூ¸⚪௃1:º»⚪.ூᑖ᪆௃W¼ᑭᵨ᎔ᦪḄ7½ᑖ᪆L¨¾ᫀ.ூ~¾௃~a-9Ḅ᎔ᦪ-a-4.ᦑ⌱:B.ூ\Á௃Â⚪Ã⌕ὃÅÆ᎔ᦪḄ7½ÇÈÉÊ7½~⚪ᐵË.2.3.00ᑖ2018•RS᝞UW_AD஻BC,Nl=42°,ZBAC=78°,ᑣN2A.42°B.50°C.60°D.68°ூὃ\௃JAai(_ḄឋÏ.ூ¸⚪௃551a_ÐஹkஹZ_i(_.ூᑖ᪆௃ÑÒÓkÔᑁkg7ᳮᓽØLÙUNABC=60°,Ú᪷ÒAD஻BC,ᓽØL¨/2=NABC=60°.ூ~¾௃~a,.•/1=42஺ZBAC=78",.,.ZABC=60°,XVAD//BC,

8.•.Z2=ZABC=60°,ᦑ⌱aC.ூ\Á௃¥⚪Ã⌕ὃÅÆi(_ḄឋÏ~⚪4ÜÝaW_i(ᑁ┯k.3.3.00ᑖ2018•RSÞᑡà1áḄ~âᙠᦪ⊤ä᝞Uᡠäᑣæ1áx—1<^3x-l<3x-l>3x-l>3%+1<3.%4-1>3%4-1>3x4-1<3ூὃ\௃C4aᙠᦪ⊤ä1Ḅ~âcCBa~ᐗç1á.ூ¸⚪௃11a%è⚪c524aᐗç1áéêᵨ.ூᑖ᪆௃ᐜ᪷Òᙠᦪ⊤ä1~âḄtìL¨æ1áḄ~âÚí¨ᔠᩩïḄ1áᓽØ.ூ~¾௃~aAஹÂ1áḄ~â-xV2,1ᔠ⚪ÝcBஹÂ1áḄ~â-24,1ᔠ⚪ÝcDஹÂ1áḄð~1ᔠ⚪Ýcᦑ⌱:B.ூ\Á௃¥⚪ὃÅḄᙠᦪ⊤ä1Ḅ~â~¾Âñ⚪¯47⌕ÜÝòóᙊ\Ḅõoᓽöᙠᦪ«᪗¨÷\gø\ᓽØ.7ùø\4⌕ÜÝ\òúóùø\û[~â-ò\1û[~âᓽ-ó\.4.3.00ᑖ2018•RS᝞UᙠRtAABC,NC=90°,AB=10,AC=8,üUsinA[

9ூὃ\௃T1a┦kÓkᦪḄ7½.ூ¸⚪௃1:º»⚪c55Ea~WkÓkÔéᐸêᵨ.ூᑖ᪆௃ᐜ᪷ÒþÿᳮBC=6,ᵫᦪḄ.ூ௃ᙠRtZXABC,*..AB=10ஹAC=8,BC=JAR2-AC2=J102-82=6,BC63•sinA————,AB105ᦑ⌱A.ூ௃⚪⌕ὃ"┦$%$ᦪḄ⚪Ḅᐵ'()*+,ᳮ-ᦪḄ.5.3.00ᑖ/02018•23/4ᑡ678Ḅ(0/A.9"23;<=>ᜩ@᜜▅CDEFGḄHI"ᨬ〉ᔠḄM"NO(ᐰ☢M"B.ᵬSTUVWᔜ10Yᐸᡂ\Ḅ]ᙳᦪ_`Sᵨ2>sS2,ᑣᵬḄᡂ\cSdC.%eᑖfgᨵij`k%$jᙊḄᓱᱏopqrsteាvrᑮxyz{jᓱᱏḄᭆ᳛(D."~gt%$jᐸᑁ$(360஺”t(ூὃ௃V2ᐰ☢M"r᪵M"W7NXIpqX4ᭆ᳛O.ூ⚪௃1:⚪54ᭆ᳛.ூᑖ᪆௃᪷pqḄᭆ-ᭆ᳛Ḅᔠ⌱⚗ᫀ.ூ௃Aஹ9"23;<=>ᜩ@᜜▅CDEFGḄHI"ᨬ〉ᔠḄM"NO(r᪵M"⌱⚗┯BஹᵬSTUVWᔜ10Yᐸᡂ\Ḅ]ᙳᦪ_`S,J>sS2,ᑣSḄᡂ\cᵬd⌱⚗┯Cஹ%eᑖfgᨵij`k%$jᙊḄᓱᱏopqrsteាvrᑮxyz{jᓱᱏḄᭆ᳛(|,⌱⚗┯

10Dஹ"~gt%$jᐸᑁ$(360஺”t(⌱⚗8ᦑ⌱D.ூ௃⚪⌕ὃ"9ᭆ᳛Ḅᐵ'(¢£pq¤ᯠḄᭆḄ¦f.6.3.00ᑖ/02018•23/4ᑡ§8Ḅ(0/1A.a24-a5=-B.a+b
2=a2+b2C.2+V2=2V2D.a3
2=a5ூὃ௃35ᔠ¨©ª⚗47«Ḅ¬NḄ¬N4C®ᐰ]NO6F¯᦮ᦪᢣᦪ²78³Y᪷OḄ´µ7.ூ⚪௃1⚪.ூᑖ᪆௃¶·ᑭᵨ®ᐰ]NO-³Y᪷O´µ¹§7ᑣºḄ¬N¹§7ᑣᑖf§»ᫀ.1ூ௃Aஹa24-a5=—,8a7Bஹa+b
2=a2+2ab+b2,ᦑ⌱⚗┯;Cஹ2+V2,½7§ᦑ⌱⚗┯Dஹa3
2=a6,ᦑ⌱⚗┯;ᦑ⌱A.ூ௃⚪⌕ὃ"9®ᐰ]NO-³Y᪷O´µ¹§¾Ḅ¬N¹§,8)*_ᐵ¹§7ᑣ(⚪ᐵ'.7.3.00ᑖ/02018•23/᝞{ijABCDḄy$ÀAC,BD_ÁÂO,AC=10,BD=24,ᑣijABCDḄᕜÄÅ0/A.52B.48C.40D.20

11ூὃ௃L8ijḄឋÇ.ூ⚪௃556ÈjijNj.ூᑖ᪆௃ᵫ+,ᳮᓽABḄÄÊËijABCDḄᕜÄ.ூ௃•ijABCDBD=24,AC=10,.*.0B=12,0A=5,ᙠRtAABOAB=JoA2+OB2=13,³ijABCDḄᕜÄ=4AB=52,ூ௃⚪ὃ"9ijḄឋÇஹ+,ᳮ`ÌÍ⚪Ḅᐵ'(ÎÏ)*ijḄឋÇÐÂὃὃ⚪.4xy8.(3.00ᑖ)(2018•23)ÓÔÕx+y=4V5,x-y=V3,ÖUO×(x-y^-------)(x+yx-yØ)ḄÙ(()x+yA.48B.12V3C.16D.12ூὃ௃6DᑖOḄᓄÛÙ.ூ⚪௃1:⚪.ூᑖ᪆௃ᐜÝᑖ§´7§¬7ᨬÞßᐭ»ᓽ.ூ௃(x-yá^)(x+y--)x-y%4-y(x-y)24-4xy(%4-y)2-4xy=--------------------•---------------------x-yx+y(x+y)2(x-y)2=-----------•------------x-yx+y

12=x+y
x-y
,ãx+y=4V5,x-ä³6FJMi^=4V3xV3=12,ᦑ⌱D.ூ௃⚪ὃ"9ᑖOḄåᔠ¹§Ù8᪷ᑖOḄ¹§7ᑣæçᓄÛ(⚪Ḅᐵ'.9.3.00ᑖ/02018•23/᝞{ᙠaABCZB=90°,AB=3cm,BC=6cm,èPoAéêëABᔣBlcm/sḄíîïèèQoBéêëBCᔣC2cm/sḄíîïèðP,QTᑖfoA,BT©F»ñPᑮòB¹èóôᑣõPBQḄ☢Sp»ñFGtḄᦪᐵö{÷ᜧù(0/ூὃ௃E7èú⚪Ḅᦪ{÷.ூ⚪௃1:⚪.ூᑖ᪆௃᪷⚪⊤ü»õPBQḄ☢StḄᐵöOæË»ᫀ.ூ௃ᵫ⚪PB=3-t,BQ=2t,11ᑣõPBQḄ☢S=-PBBQ=-3-t
X2t=-t2+3t,22ᦑõPBQḄ☢Sp»ñFGtḄᦪᐵö{÷ᜧù(³Yᦪ{÷éÕᔣ4.ᦑ⌱C.ூ௃⚪⌕ὃ"9èú⚪Ḅᦪ{÷8»ᦪᐵöO(⚪ᐵ'.10.3.00ᑖ/02018•23/᝞{õABC(`k%$jAABD(`Ὺ¶$%

13$jZBAD=90°,AELBDÂE,þCDᑖfÁAE,ABÂF,G,ÿA
AH±CDBDH.ᑣᑡজNADC=15°ঝAF=AGঞAH=DF@AAFG^ACBGঠAF=(V3-1)EF.ᐸḄᦪ()ூὃ௃KDᐰ!Ḅᑨ#$ឋ&KK'!Ḅឋ&KWῪ)!S9*+!Ḅᑨ#$ឋ&.ூ-⚪௃1:01⚪255D3!Ḅ*+.ூᑖ᪆௃জᵫ'!$Ὺ)!74CAD8Ὺ!9⚔/CAD=150°,<=>ᑨ?ঝ@ANAFPBNFAGCᦪDEFGANAGFCᦪD<=>ᑨ?ঞHIADF^^BAHᓽ>ᑨ?টᵫNAFG=NCBG=60°ஹZAGF=ZCGBᓽ>GHঠMPF=x,ᑣAF=2xஹAP=஻F2—PF2nx,MEF=a,ᵫIADF^ABAH7BH=AF=2x,᪷ᑨ?.EHAEூUV௃U•••IABC'!D4ABDῪ)!D.,.ZBAC=60°>ZBAD=90\AC=AB=AD,ZADB=ZABD=45°,.•.ICAD8Ὺ!D9⚔NCAD=150஺DAZADC=15°,ᦑজVAE1BD,ᓽNAED=90°,/.ZDAE=45°,/.ZAFG=ZADC+ZDAE=60°,ZFAG=45°,AZAGF=75°,ᵫNAFGWNAGF7AFWAG,ᦑঝ┯Z

14[AH$CDḄP,ᵫAHLCD9NAFG=60°7NFAP=30°,\l]NBAH=NADC=15஺Dᙠ4ADFB^BAHD{/.ADF=BAHDA=ABDIzO/F=/.ABH=45°/.IADF^ABAH(ASA),DDF=AH,ᦑঞVZAFG=ZCBG=60°,ZAGF=ZCGB,.,.IAFG^ACBG,ᦑটᙠRt/XAPFDMPF=x,ᑣAF=2xஹAP=VZ_=7F=V5x,MEF=a,•.'IADF`IBAH,DBH=AF=2X,IABEDVZAEB=90\NABE=45°,.BE=AE=AF+EF=a+2x,.*.EH=BE-BH=a+2x-2x=a,VZAPF=ZAEH=90°,NFAP=/HAE,/.IPAF^AEAH,PFAPXV3x——=——ᓽa=]aEHAEaa+2x᦮ᳮDG2x2=(V3-1)ax,ᵫxWOG2x=(V3-1)a,ᓽAF=(V3-1)EF,ᦑঠ;

15ᦑ⌱B.ூg௃h⚪i⌕ὃk*+!Ḅᑨ#$ឋ&DU⚪Ḅᐵl8mnῪ!$'!Ḅឋ&ஹᐰ!$*+!Ḅᑨ#$ឋ&7o.pஹqrsasDttuvḄwxyzhᜧ⚪ᐳ6}⚪D~}⚪3ᑖDᐳ18ᑖ11.z3.00ᑖz2018•aPᙢᳫ$□PḄFᓄD1ᜩᦻᓫ8ᙢᳫ$□ḄᙳDᓽ149600000ᓟDᵨ¡[ᦪ¢⊤¤1ᜩᦻᓫ81.496X108ᓟ.ூὃ௃II¡[ᦪ¢a⊤¤§ᜧḄᦪ.ூ-⚪௃511©ᦪ.ூᑖ᪆௃¡[ᦪ¢Ḅ⊤¤!ªaXIO11Ḅ!ªDᐸ|a|<10,n᦮ᦪ.#nḄ±D⌕²³´ᦪᡂaD}ᦪ¶·¸¹ºDnḄ»¼±$}ᦪ¶·Ḅᦪ*½.¾´ᦪ»¼±>1Dn8ᦪ¾´ᦪḄ»¼±VIDn8Áᦪ.ூUV௃U149600000=1.496X108,ᦑVᫀ1.496X108.ூg௃=⚪ὃk¡[ᦪ¢Ḅ⊤¤Ã¢.¡[ᦪ¢Ḅ⊤¤!ªaXlcrḄ!ªDᐸlW|a|<10,n᦮ᦪD⊤¤ᐵl⌕#aḄ±ÈÉnḄ±.12.z3.00ᑖz2018•᝞38aËÌÍḄÎ3z3ÏÐᓫcm,᪷<3ᦪ<ÒÓDÔËÌÍḄ⊤☢Ö16rcm?.lூὃ௃MPᙊ┵ḄÒÓU3ᵫÎ3ᑨ?ËÌÍ.ூ-⚪௃273⊤2.ூᑖ᪆௃ᵫiÎ3BÞÎ3#8ßÍD┵Íà8ᳫÍDáᵫâÎ3#ᐹÍ!

16äD#ᙊ┵ḄåæçBè☢éêDEF#ᐸ⊤☢Ö.ூUV௃UᵫiÎ3BÞÎ3!ᑨ?A8┵ÍDᵫâÎ38ᙊ!>ᑨ?AÔËÌÍëì8ᙊ┵᪷<Î37ìᙊ┵Ḅåæç6cm,è☢éê2cm,ᦑ⊤☢Ö=Jirl+7ir2=7iX2X6+nX22=16R(cm2).ᦑVᫀ16n.ூg௃ὃk¡ñ¼Î3mnòCBᮣôõᵨö÷D½øÍù¸¼úûüö÷Ã☢Ḅὃk.13.(3.00ᑖ)(2018•)᝞3Dýᱥæy=ax2y=bx+cḄᙶ᪗ᑖA(-2,4),B(1,1),ᑣax2=bx+cḄ!"xi=-2,X2=l.ூὃ௃F8,-./ᦪ123Ḅᙶ᪗ᱯ56H5,9./ᦪ123Ḅᙶ᪗ᱯ56HA,:ᱥx<Ḅ.ூ=⚪௃1:@A⚪B6535,9./ᦪ12DᐸឋG.ூᑖ᪆௃᪷J9./ᦪ12-./ᦪ12ḄK⚪LᑮN=Ḅ[y=bx+c!O"᧕LᐵOXḄax2-bx-c=0Ḅ!.ூ!S௃!,•••:ᱥU=2*2y=bx+cḄᙶ᪗ᑖA(-2,4),B(1,1),.•.NW=XḄ!Y92,(y=bx+c(7i-4[y-12ᓽᐵOxḄax2-bx-c=0Ḅ!xi=-2,X2=l.ᡠ]ax2=bx+cḄ!"Xi=-2,X2=lᦑSᫀXl=-2,X2=l.ூ`௃a⚪ὃb:ᱥx<ஹ-./ᦪḄdᵨஹ-ᐗ9.ghi,

17!⚪Ḅᐵj"ᮣlmᵨᡠnhionpᑭᵨ12r!st▭K⚪ovOwὃ@ὃ⚪B.14.3.00ᑖxy2018•z{x|h஺஺Ḅ~10cm,AB,CD"஺஺ḄᩩoAB஻CD,AB=16cm,CD=12cm,ᑣABCDḄ"2ᡈ14cm.ூὃ௃KQ,ᳮ6M2,ᚖᳮ.ூ=⚪௃32,ᑖ.ூᑖ᪆௃ᑖ,জABCDᙠᙊ6ঝABCDᙠᙊ6~oᑭᵨᳮᚖᳮ!ᓽ¡o¢£!.ூ!S௃!,জ¤ABCDᙠᙊ¥o᝞1o§AB=16cm,CD=12cm,/.AE=8cm,CF=6cm,VOA=OC=10cm,EO=6cm,OF=8cm,AEF=OF-OE=2cm6ঝ¤ABCDᙠᙊ¥o᝞1o§AB=16cm,CD=12cm,AF=8cm,CE=6cm,VOA=OC=10cm,AOF=6cm,OE=8cm,AEF=OF+OE=14cm.AABCDḄ14cmᡈ2cm.ᦑSᫀ,2ᡈ14.ூ`௃a⚪ὃb¨ᳮᚖᳮḄdᵨ.©⚪ª«〉wo!⚪Ḅᐵj"

18®¯°ᦪ±²ᔠ´µᑖ´µḄdᵨo¢£!.15.3.00ᑖxy2018•z{xᡃ·¸¹ᦪnºᩰ¼½¾¨᝞1ᡠ¿ḄÀÁ±oᡃÂÃ"ᩰ¼ÀÁ”Æ1wÇ-ᑡᦪ,1,3,6,10,Éai=l,a=3,a=6,2334=10,…oÊËa4+an-2aio+lOḄÌ"-24.111121133114641151010511615201561ூὃ௃10,ᦪn@i637,AÍB,ᦪÎḄÏᓄ.ூ=⚪௃2A,AÍB651,ᦪÑ.ூᑖ᪆௃ᵫ|hᦪᑡLan=l+2+3+...+n="ÓÔaI஺ஹḄÌo¹ᐭÖסL.n(n+l)ூ!S௃!,ᵫai=l,32=3,33=6,34=10,…,ÙÚa=l+2+3+...+n=------------n210X1111X12••810:955ஹan==66,2----------2ᑣa+an-2aio+lO=lO+66-2X55+10=-24,4ᦑSᫀ,-24.ூ`௃a⚪Û⌕ὃbᦪÎḄÏᓄAÍo!⚪Ḅᐵj"᪷J|hᦪᑡLn(n+l)a=l+2+3+...+n=n216.3.00ᑖxy2018•z{x᝞1oᙠÝ☢Áᙶ᪗ßwoà±ABCDḄ⚔AḄᙶ᪗y-1,1
,Bᙠx<à~<3oDᙠâÀ2▲Ḅäåy33oæCCE஻x<äåOE,çèBE,ᑣ4BCEḄ☢é7.

19ூὃ௃G4,êëì/ᦪḄឋG6G5,êëì/ᦪßᦪkḄíî®ï6G6,êëì/ᦪ123Ḅᙶ᪗ᱯ5.ூ=⚪௃153,¹ᦪíîðᔠ⚪.ூᑖ᪆௃ñòo᪀ôᐰgÀÁ±,æDGHox

2031/.EH=2-,2217.\CE=CH-HE=4-221171SACEB=_CE•BM-X—X4=7222ᦑᫀ7.ூ௃⚪ὃ#Ḅឋ%ஹᐰ()*Ḅᑨ,-ឋ%ஹ./01ᦪḄឋ%(345⚪Ḅᐵ7
ᮣ9:ᵨᡠ=345>?⚪=@᪀BC5>?⚪DEFὃGH⚪ḄIJ⚪.)ஹᵨLMMMNNOPḄQRSTᜧ⚪ᐳ8W⚪Xᑖ72ᑖZ17.6.00ᑖZT2018•[\Z]^-3
2+|-4+V12-4cos30°.ூὃ௃2C_ᦪḄ:^T5ᱯa*Ḅ)*1ᦪb.ூc⚪௃1:ef⚪g.ூᑖ᪆௃ijᑭᵨl᪷nḄឋ%opᱯa*Ḅ)*1ᦪbஹqrbḄឋ%stᓄvwᫀ.V3ூ5௃5xn=9+4+2V5-4X3=13+2V3-2V3=13.ூ௃y⚪z⌕ὃ#|_ᦪ:^}ᓄvᔜᦪ
5⚪ᐵ7.18.8.00ᑖZT2018•[\Z᝞B,E,C,Fᙠᩩi3AB஻DE,AC஻DF,BE=CF,jAD.ABED
.

21ADூὃ௃KDᐰ()*Ḅᑨ,ឋ%L7Ḅᑨ,ឋ%.ூc⚪௃553Ḅᐰ(555.ூᑖ᪆௃ᵫAB஻DEஹAC஻DFᑭᵨḄឋ%wNB=NDEFஹZACB=ZF,ᵫBE=CFwBC=EF,stwaABCZ^DEF(ASA),᪷ᐰ()*Ḅឋ%wAB=DE,ᔠAB஻DE,ᓽwABED
.ூ5௃AB஻DE,AC஻DF,/.ZB=ZDEF,ZACB=ZF.VBE=CF,BE+CE=CF+CE,BC=EF.(Z.B=DEFᙠABC-ADEFF\BC=EF(NACB=F/.ABC^ADEF(ASA),AB=DE.AB஻DE,ABED
.ூ௃⚪ὃ#|Ḅឋ%ஹḄᑨ,opᐰ()*Ḅᑨ,ឋ%ᑭᵨᐰ()*Ḅឋ%wAB=DE
5⚪Ḅᐵ7.19.(9.00ᑖ)(2018•[\)ᙠ[\ᐵḄ“¢£W¤¥”z⚪ᦟ¨9©Fᡃ«ᜩ=᪥ᐰ᪥=®¯°|“±²³´µᡃᡂ·"34¹ºº»¼½¾|¿ᑖ¯º=®ḄᡂÀᢥÂÃᑖᑮÅᑖÆᡂÀᑖᡂA,B,C,D,E¢ÇÈᑴᡂÊ☢ÌÍÎÏ᦮ḄÑ]

22(I)DÇᡠrÒḄᙊL*
72Ô,᪵FᡂÀḄFÖᦪ×ᙠCÇF,Ø⊡ᐰᩩÑ](2)ÚAÇÛᨵ2Ýᵱ®-2Ý᝕®à¼⌱â2Ý=®ãä᪥åæç“[Lèᡃ"⁚êzᢝìíᵨᑡ⊤ðᡈò᪛ôðា£½ᑮ1Ýᵱ®-1Ý᝕®Ḅᭆ᳛.ூὃ௃VBᡧÑ]VCᩩÑ]W4FÖᦪX6ᑡ⊤ð᪛ôð.ூc⚪௃1ef⚪g54Ñ]ᭆ᳛.ூᑖ᪆௃(1)✌ᐜᵨCÇûḄ=®ìᦪ◀oCÇûḄìᦪᓰḄþᑖ᳛wᐳᨵÿ
ᯠ᪷BᑖᐸᦪᵫᔜᦪᦪDḄᦪᨬᵨ360஺᪵!Dᦪᡠᓰ$%ᐸᙊ'()ᦪ᪷!*ᦪ+,-ᫀ.(3)1A2Ḅ4
!ᨵ2ᵱ2᝕67!89⌱;2<8᪥>?@"B'CᡃE”⁚HIᢝKᵨᑡ⊤NḄONPាR⌱ᑮ1ᵱ1᝕Ḅᭆ᳛VWXᓽ%.ூ[-௃[:(1)•••_`aḄᦪb3030%=100ᑣBᦪb100X40%=40ᡠDᦪb100-(4+40+30+6)=20ᑣDᡠdKḄᙊ'(V360°X-=72°,!*ᦪVe50ஹ51gᦪḄhᙳᦪ100je50ஹ51gᦪᙳkᙠCᡠ!*ᦪkᙠC

23(2)ᑡ⊤bnᵱ1ᵱ2᝕1᝕2ᵱ1--ᵱ2ᵱ1᝕1ᵱ1᝕2ᵱ1ᵱ2ᵱ1ᵱ2--᝕1ᵱ2᝕2ᵱ2᝕1ᵱ1᝕1ᵱ2᝕1--᝕2᝕1᝕2ᵱ1᝕2ᵱ2᝕2᝕1᝕2--ᵫp⊤%q74
!89⌱;2
ᐳᨵ12s%tuvᐸ!ាR⌱ᑮ1ᵱ1᝕Ḅuvᨵ8s82...ាR⌱ᑮ1ᵱ1᝕Ḅᭆ᳛bw=?ூz{௃|⚪ὃaᡧஹᩩᑡ⊤Nᭆ᳛ᵨᑮḄqzbnᭆ᳛=ᡠᦪᦪ.20.(7,00ᑖ)(2018•B)᝞AABC!AB=AC,
ᑭᵨᙊᡂ᝞nজNBACḄhᑖAMBCzDঝABḄᚖhᑖEF,EFAMzPঞ¢£PB,PC.¤¥¦§[-ᑡ¨⚪n(1)©PA,PB,PCªḄᦪ«ᐵVPA=PB=PC(2)1NABC=70஺NBPCḄ)ᦪ.

24ூὃz௃KGn©ᚖhᑖḄឋ¯KHnῪ±(Ḅឋ¯N3n²³ᩖ.ூµ⚪௃13n⚪.ூᑖ᪆௃·1
᪷©ḄᚖhᑖḄឋ¯%nPA=PB=PC·2
᪷Ὺ±(Ḅឋ¯nZABC=ZACB=70°,ᵫ±(Ḅᑁ(nZBAC=180°-2X70°=40°,ᵫ(hᑖ+,nZBAD=ZCAD=20°,ᨬᑭᵨ±(᜜(Ḅឋ¯%uº.ூ[-௃[n·1
᝞PA=PB=PC,ᳮᵫVnVAB=AC,AMhᑖNBAC,AADVBCḄᚖhᑖ/.PB=PC,OEPVABḄᚖhᑖ.PA=PB,.PA=PB=PCᦑ-ᫀbnPA=PB=PC(2)VAB=AC,/.ZABC=ZACB=70",/.ZBAC=180o-2X70°=40°,VAMhᑖ/BAC,/.ZBAD=ZCAD=20°,PA=PB=PC,NABP=NBAP=NACP=20°,AZBPC=ZABP+ZBAC+ZACP=20o+40o+20o=80°.

25ூz{௃⚪ὃa(hᑖ©ᚖhᑖḄ½ஹῪ±(Ḅ±ᔠ²Ḅឋ¯ஹ±(Ḅ᜜(ឋ¯ஹ©ḄᚖhᑖḄឋ¯¿ÀÁ©ḄᚖhᑖḄឋ¯VᐵÃ.21.(9.00ᑖ)(2018•B)ÄqᐵxḄ²ᐗÆÇOÈ(x-3)(x-2)=p(p+l).(1)ÉÊËn̺p;ÍÎ|OÈᨵÏgÐᦪ᪷(2)1ÑOÈḄÏ᪷Xl,X2ÒÓxj+xz?-XlX2=3p2+l,pḄÎ.ூὃz௃AAn᪷ḄᑨÕABn᪷ᦪḄᐵ.ூµ⚪௃45nᑨÕN523n²ᐗÆÇOÈÖKᵨ.ூᑖ᪆௃(1)×ÑOÈØb²ÙÕ᪷OÈḄᦪuᔠ᪷ḄᑨÕᓽ%PÚ=(2p+l)2»o,ᵫ|ᓽ%ÊPn̺p;ÍÎ|OÈᨵÏgÐᦪ᪷(2)᪷᪷ᦪḄᐵ%PX1+X2=5ஹX1X2=6-p2-PuᔠX12+X22-XiX2=3p2+l,ᓽ%PPÎ.ூ[-௃[:(1)ÊË:ÑOÈ%ØbX2-5X+6-p2-p=0.VÚ=(-5)2-4(6-p2-p)=25-24+4p2+4p=4p2+4p+l=(2p+l)2^0,̺p;ÍÎ|OÈᨵÏgÐᦪ᪷(2)•.•ÑOÈḄÏ᪷bXIஹX2•*.X1+X2=5,XIX2=6-p2-p.XXl2+X22-XlX2=3p2+l,:.(X1+X2)2-3XiX2=3p2+l,.52-3(6-p2-p)=3p2+l,.•.25-18+3p2+3p=3p2+l,3p=-6,/.p=-2.ூz{௃⚪ὃa᪷ᦪḄᐵÖ᪷ḄᑨÕ[⚪ḄᐵÃVn(1)ᱞÜ“ÞÚß()àOÈᨵÏgÐᦪ᪷"(2)᪷᪷ᦪḄᐵuᔠx?+x2-2xix=3p2+l,PpÎ.222.(10.00ᑖ)(2018•B)"áâ☘äåVæäçä"èḼêâhḄëì,

26îdïâð¯Ḅ◤òᩭòìBôõö÷ø᪷ôù◤úᳮA,BÏsûüḄýâᘤÿA
ᘤB
ᘤ200ᐗᵨ5ᐗA
ᘤᵨ4.5ᐗB
ᘤḄᦪ.1A
ஹB
ᘤḄᔜᐗ2
!"ᑜA,B$%
&Ḅᘤᐳ50()├ᐸ,A
ᘤ-x./01239.8ᐗ.)├4A
ᘤ52500ᐗB
ᘤ52180ᐗ!678├5A
ᘤḄᑭ:,ᢥᣎ=a70-!?ᢄAB᩟Dᦋ⌼/0G!5H50ᘤIᣎ=ᢄA/0JKLḄᑭ:-W,WḄᨬᜧO.ூὃR௃B7TᑖVWXḄYᵨZC9T[ᐗ[\1VḄYᵨZFHT[\]ᦪḄYᵨ.ூ^⚪௃522TᑖVWX`YᵨZ524T[ᐗ[\1Va`YᵨZ533T[\]ᦪ`ᐸYᵨ.ூᑖ᪆௃1GA
ᘤḄ-mᐗᑣB
ᘤḄ-m-200
ᐗ᪷eᦪ=g+ᓫjᔠᵨ5ᐗA
ᘤᵨ4.5ᐗB
ᘤḄᦪᓽmLnᐵpmḄᑖVWXqrstuJᓽmLnjvZ2
᪷e./0=A
ᘤḄXᦪ+B
ᘤḄXᦪjᔠ./01239.8ᐗᓽmLnᐵpxḄ[ᐗ[\1VqrᓽmLnxḄwOyᵫgᑭ:=A
ᘤḄᑭ:Xᦪ+B
ᘤḄᑭ:Xᦪ-aXA
ᘤḄᦪᓽmLnWᐵpxḄ]ᦪᐵ|V}ᑭᵨ[\]ᦪḄឋᓽmq6ᨬO⚪.ூq௃qT1GA
ᘤḄ-mᐗᑣB
ᘤḄ-m-200
ᐗ,5000045000᪷e⚪L:mm-200,qLTm=2000,stum=2000ᑖVWXḄq,Am-200=1800.TA
ᘤḄ-2000ᐗB
ᘤḄ-1800ᐗ.

27(2)᪷e⚪L:2000X+1800(50-x)<98000,qL:xW40.W=(2500-2000)x+(2180-1800)(50-x)-ax=(120-a)x+19000,•.•70VaV804120-a>0,AWxᜧᜧ.•.x=404WwᨬᜧOᨬᜧO-(120-a)X40+19000=23800-40a,WḄᨬᜧO(23800-40a)ᐗ.ூR௃⚪ὃᑖVWXḄYᵨஹ[\]ᦪḄYᵨ`[ᐗ[\1VḄYᵨq⚪ḄᐵT(1)ᐵ|ᑡnᑖVWXZ(2)᪷eᔜᦪrḄᐵ|nWᐵpxḄ]ᦪᐵ|V.23.(10.00ᑖ)(2018•)᝞AABC,AB=AC,AB-Ḅ஺஺BCpRD,ACpRE,3RD>DF_LACpRF,ABḄ¡¢£pRG.(1)¤TDF஺஺Ḅᑗ£Z(2)¦§BD=2¨CF=2,AE©BGḄ¢.(ᜓᵨ)ூὃR௃KHTῪ«¬ḄឋZM5Tᙊᕜ¬7ᳮZMETᑗ£Ḅᑨ7ឋ.ூ^⚪௃559TᙊḄᨵᐵᭆ´`ឋ.ூᑖ᪆௃(1)µ¶OD,AD,ᵫᙊᕜ¬7ᳮmLAD±BC,jᔠῪ«¬Ḅឋ§BD=CD,}᪷eOA=OB§OD஻AC,8ᵫDGJ_ACmL஺D_LFG,ᓽmL¤ZABAE(2)µ¶BE.BE஻GF,¸n¹AEBsaAFG,mL[=[,ᵫº᪀¼WXᓽmAGAFq6⚪Z

28ூq௃qT(1)µ¶OD,AD,•••AB-஺஺ḄNADB=90°,ᓽAD_LBC,VAB=AC,BD=CD,XVOA=OB,OD஻AC,DG±AC,A0D1FG,£FG஺0ᑗ;(2)µ¶BE.VBD=2V5,/.CD=BD=2>/5,VCF=2,.*.DF=J(2V5)2-22=4,BE=2DF=8,VcosZC=cosZABC,.CFBD^CD~AB9.^2_2V5^2y[5~ABAAB=10,/.AE=J102-82=6,VBE±AC,DF±AC,BE஻GF,.•.¹AEB^AAFG,.ABAE^AG~AF910610+BG-2+6’

2910/.BG=N3ூR௃⚪¾⌕ὃᙊḄᑗ£Ḅᑨ7ஹᙊᕜ¬7ᳮஹÀ«¬Ḅᑨ7ឋ`,Á£7ᳮ§ÂRÃÄÅÆᙊᕜ¬7ᳮ©À«¬Ḅᑨ7ឋq⚪Ḅᐵ.24.13.00ᑖ2018•᝞1,ᙠÈ☢¬ᙶ᪗|xOy,¦§RA©RBḄᙶ᪗ᑖÌ-A-2,0
,B0,-6
,ÍRtAAOBÎR0ᢥÏ4┐WᔣᑖÌÒÓ90஺180஺LᑮRt^AiOC,RtAEOF.Õᱥ£Cis3RC,A,BZÕᱥ£C2s3RC,E,F.1RCḄᙶ᪗--6,0
,REḄᙶ᪗-2,0
ZÕᱥ£CiḄq᪆V-v=-—4%-6.Õᱥ£C2Ḅq᪆V-v=--2஺+6Z2
᝞×RPx,y
£BCØWÕᱥ£CiØḄ[ÙÚR.জÜNPCA=NABO4PRḄᙶ᪗Zঝ᝞2,3RP>xÞḄᚖ££BCpRM,Õᱥ£C2pRN,àh=PM+NMW2BM,hxḄ]ᦪᐵ|V-54W-24hḄwOy.

30ூὃR௃HFTá\]ᦪâᔠ⚪.ூ^⚪௃537T]ᦪḄâᔠYᵨ.ூᑖ᪆௃1᪷eÒÓḄឋmLC,E,FḄᙶ᪗᪷eã7|ᦪääq᪆VZ2
জ᪷ePR£CAᡈᐸᐵpxÞæç£Õᱥ£Rᙶ᪗,nq᪆VὶéWXaqZঝ᪷eêØḄRëì]ᦪq᪆VmLPஹNஹMíᙶ᪗᪷eÈ(pyÞ£Ø$RḄîïðᜧḄðᜧḄíᙶ᪗ðñḄíᙶ᪗mLá\]ᦪ᪷exwOyòvhy.ூq௃q:1ᵫÒÓm§0C=6,0E=2,ᑣRCᙶ᪗--6,0
,ERᙶ᪗-2,0
,ᑖÌᑭᵨã7|ᦪäCiq᪆V-Ty=-1x2-4x-6,1C2q᪆V-Ty=--%29—2%+611ᦑᫀ-T-6,0
,2,0
,y=—X2—4%—6,y=—%2—2%+6222
জÜRPᙠxÞØWNPCAáNAB04ᑣCAiÕᱥ£C1ḄRᓽ-RPG£CAiḄq᪆V-Ty=kx+b11.0=—6k]+bi,õáᡭqL÷]=4ù=2£CAiḄq᪆V-Ty=$+2V=—ix2—4x—612y=ᡭ+2_8_=qLᡈú2T[61ûᔠ⚪ü[þ=¥ெ
-஺810᪷⚪Pᙶ᪗-1—;39PᙠxNPCANAB0ᑣCAiᐵxḄCA2ᱥ

31ClḄ᱄ᓽP%CA2&᪆(y=kx+b22.——6k2+b?*"l-2=b2&)*2=V%2=-21...CA2Ḅ&᪆(,y=-X-fy一联立——6111—ky-严-3z4/—X1-3一解得1或—634.ᔠ⚪51y-149=01414ᵫ⚪Pᙶ᪗(----)39414....ᔠᩩ1ḄP~——);39ঝ%BCḄ&᪆(,y=kx+b•fO——6k+b,6=b&)eu%BCḄ&᪆(,y=-x-6XMD7B8BDLMND,᝞:ᑣBM=V2BD.*.V2BM=2BD=2x=-2x.h=PM+NM+V25M=(yp-YM)+(7N-YM)+2x|=yp-YM+YN-YM-2X

3211=[--x2-4x-6-(-x-6)]+[—X2+6-(-x-6)]+(-2x)22=-x2-6x+12h=-(x+3)2+21;x=-3hḄᨬᜧ>21Y-5WxW-2.,.;x=-5,h=-(-5+3)2+21=17;x=-2h=-(-2+3)2+21=20hḄ@>BC,17WhW21ூE௃G⚪ὃIJKᦪMᔠ⚪&(1)ḄᐵNCᑭᵨQRḄឋT)UC,EḄᙶ᪗VᑭᵨWXYZᦪ[\&(2)জḄᐵNCᑭᵨ&^_⌕ᑖbcde■⍡h\&(2)ঝḄᐵNCᑭᵨijyklmḄnoCpᜧḄpᜧḄqᙶ᪗mprḄqᙶ᪗)UJKᦪVᑭᵨWJKᦪḄឋT.

33ὃᓱᱏ1.᎔ᦪ(1)᎔ᦪ,vwC1Ḅlᦪx᎔ᦪ.,11yzᙢa•y=1(aWO),}~a(aWO)Ḅ᎔ᦪCy.CLCL(2)[ᢣ,জ᎔ᦪC◀[v[RᓄḄ"᫑᫡""[Rᓄ[ᦪy᪵⌕.᎔ᦪCḼ◀[Ḅ.ঝᦪḄ᎔ᦪCᦪᦪḄ᎔ᦪCᦪ0ᨵ᎔ᦪᦪ4.ூ¡¢[௃£ᦪஹ᎔ᦪḄ[£y¥ᦪḄ£y¥ᦪḄᦪ¦◤ᙠ¥ᦪ¨☢k"-"ᓽªᦪ£y¥ᦪḄ᎔£y¥᦮ᦪḄ᎔ᦪ}Cᑏᡂ¥᦮ᦪᑖ®yᦪ£y¥ᑖᦪḄ᎔ᦪ}C¯ᣚᑖ±ᑖ²Ḅ³´µ,0ᨵ᎔ᦪ.2.¶·¸ᦪ[y⊤ºpᜧḄᦪ(1)¶·¸ᦪ[,»y¥ᜧ10Ḅᦪ¸ᡂaXIOnḄ¼(ᐸ¾aC᦮ᦪᦪ³¦ᨵy³ḄᦪnC᦮ᦪ¿¸ᦪ[À8¶·¸ᦪ[.ூ¶·¸ᦪ[¼(,aX10n,ᐸ¾lWa<10,n᦮ᦪ(2)¡¢[ÁÂ,জ¶·¸ᦪ[¾aḄ⌕£10ḄᢣᦪnḄ⊤º¡¢ᐵNᵫ10ḄᢣᦪÃÄᩭḄ᦮ᦪ³ᦪÆ1ᢥÈ¡¢,ᐜᦪyÄᦪḄ᦮ᦪ³ᦪᓽª£U10Ḅᢣᦪn.ঝ¸ᦪ[⌕£Cᜧ10Ḅᦪªᵨ¶·¸ᦪ[⊤ºÊTkË>ᜧ10Ḅᦪ᪵ªᵨÈ[⊤º¦C¨☢Ìy¥Í.3.ᦪ·Îᦪ·Î

34ÈbÏ⚪⌕ÂᔠÊ▭Ï⚪ᩭ&ÑÒ¾ḄyÓᦪ·Î⌕W&.Ã᝞ÔUy¥ᱥÕḄÖ×⌕Ø⌱ÚÛᔠ〉Ḅᓫ³Þ×ßß.i⌕µÌàáᶇãäḄråÎ.4.ÊᦪḄ31ÊᦪḄᙠᨵᳮᦪBᑁy᪵>)yèḄCÊᦪéªeêjஹஹvஹ◀ஹvVªeêjëᐸ¾Êᦪªeëi.32
ᙠêjÊᦪᨵᳮᦪy᪵⌕ìÖíᑮïíᓽᐜvஹëðv◀ᨬñᨵòÍḄ⌕ᐜòÍó☢Ḅí⌕ᢥ᯿ìõᑮᨵḄö÷êj.ø᜜ᨵᳮᦪḄ¢ᙠÊᦪBᑁúᯠ〉ᵨ.ூ¡¢[௃ÊᦪḄ"ü¥ᐵN”1.[ᑣ,vëஹþḄஹᢣᦪ3ᱯ
᦮ᦪᢣᦪ0ᢣᦪஹ᪷ஹᱯᦪḄḄᓄ.2.ᐜ!"#!◀%&'ᨵ)*Ḅᐜ)*+☢Ḅᙠ./01⌕34ᑮ6789:;<=⌕>?ᐜ@A*%.3.BḄCᵨCᵨBEᓄFGHIJKLI.5.ᔠN.O⚗1
@QRS⚗1.O⚗ᔠᡂ/⚗UVᔠN.O⚗.W2
ᔠN.O⚗ḄXᑣR.O⚗ḄZᦪ[&ᡠ]^_`aZᦪbcJbcḄᢣᦪde.W3
ᔠN.O⚗f⌕>?ghজ⌕jk.O⚗Ḅᭆmno.O⚗NKLᙢjkᑨr.O⚗Ḅsᩩ᪗K:wᨵ[.ZᦪḄxᦪ⚗ybcJbcᢣᦪyঝ{LᔠN.O⚗Ḅ|Q
RS⚗1Ḅ.O⚗ᔠNᡂ/⚗}~ᔠN.O⚗,Ḅ⚗ᦪn'ᑮᓄS⚗ḄḄyঞ"ᔠN”
ᢣ.O⚗ḄZᦪḄ[&NR]ᑮḄ^_`aḄZᦪ⌕ᢝ.O

35⚗ḄbcJbcḄᢣᦪde.6.BᦪbḄeᓄO⚪
1ὃ⚪Ḅhᐸ
ᦪᑡᨵᐵḄ⚪
dS᪵⌕¡ᙠ¢ᨵ£¤Ḅ¥Ạ§¨©ª«ὃ¬B.W1®ᦪᑡB¯°©ªஹ±²«ὃᗐᵨὶµ
¶·¸O¹⚪Ḅ"X.W2
ᑭᵨ"»¶·¹⚪.¼¹⚪1ᨵS½¾£ᦪfEᐜ¿ᐸ1/½aX,#ᑭᵨÀÁÂḄᐵZ¿ᐸþ£ᦪᯠ%ᑡ"».7.ÅḄ!"ÆḄ!"W1ÇḄ!"XᑣÈᦪdeᢣᦪ[!.am
n=amnm,n
É᦮ᦪ>?জÇḄ!"ḄÈᦪᢣḄ
ÅḄÈᦪyঝឋË1"ᢣᦪ[!"ᢣḄ
¥Ḅᢣᦪ!"Ḅᢣᦪ[!¸+>?.ÈᦪÌḄ!X1"ᢣᦪ[&”ḄÍ.W2
ÆḄ!"XᑣRÎ/½Ïᑖ!"#Rᡠ]ḄÅ[!.ab
n=antnn
É᦮ᦪ>?জÏ
½ᡈ½§ÆḄ!"XᑣÒ〉ᵨyঝᵨfᦪbÏᦪḄ!"Ô᪷Õ!"Ḅ?Qᨬ%Ḅ^_.8.×ᐰÙ"Ú1
×ᐰÙ"Úa±b
2=a2±2ab+b2.EÛÜa"✌Ù"ÞÙ"✌Þsß1Âà”.W2
×ᐰÙ"Úᨵg½ᱯáজ4â
s½ᦪḄJḄÙ"yঝ6â
/½⚗ᐸ1✌Þs⚗ᑖ
s⚗ḄÙ"=aÉ1Â/⚗
s⚗ÆḄ2ßyᐸA*4âḄA*[..W3
Ôᵨ×ᐰÙ"Úf⌕>?জÚ1Ḅa,bE
ᓫ⚗äE
S⚗yঝ᝞sᦪJWᡈæḄÙ"Ḅ=Eᵨ¸½Úyঞç⚗ḄERᐸ1Ḅs⚗èV/⚗%äEᵨ×ᐰÙ"Ú.

369.ᑖḄᓄ¡ᐜRᑖᓄ%#Rᑖ1¾£ᦪÔḄxᐭ¡ᑖḄ.ᙠᓄḄ~»1⌕>?JᑖḄᓄ.ᓄḄᨬ%^_ᑖêஹᑖc⌕ëìíᑖ>?Ḅ^_⌕ᓄᡂᨬᑖᡈ᦮.ூB"X௃ᑖᓄ¡f◤>?Ḅ¹⚪1.ᓄ¡/ñ
ᐜᓄaᨬᑖᡈ᦮#xᐭ¡.ᓄfdòóIôᜧö÷ø⌕Ḅùúxᐭ¡Ḅû/ña"¼…fý2.xᐭ¡fᨵþÿᐭ᦮ᐭᵨ.⚪᪷⚪Ḅᐹᩩ⌱ᔠ〉Ḅ.ᦪḄᨵ!"#$ᡠ⌱&ḄᦪḄ'()*+,Ḅᔜᑖ+/ᨵ012◀ᦪ4560.10.7᦮ᦪᢣᦪ97᦮ᦪᢣᦪ:;aP=lap(aWO,p6<᦮ᦪ)>0:জaWOঝAB7᦮ᦪᢣᦪCDE⌕᪷7᦮ᦪᢣᦪᗩḄ01ABHI$J(-3)-2=(-3)X(-2)Ḅ┯N.ঞPᦪQᑖᦪR⌕SᑖTஹᑖVW᎔7ᢣᦪYZ6<ᢣᦪ.টᙠ]ᔠ^B,_`⌕>0^BḄab.11.cd᪷+Ḅef(1)ᑣ;cd᪷+hefᐜSᔜjcd᪷+ᓄᡂᨬncd᪷+oSpqᦪhrḄcd᪷+stᔠuᔠu6vᦪhef᪷+4Z.(2)wx;জ᝞{ᨵ|}᪷~|}ᑣ~ᣵ|}.ঝS4Qᨬncd᪷+Ḅcd᪷+stᓄn.ঞᔠupqᦪhrḄcd᪷+.(3)ᔠupqᦪhrḄcd᪷+Ḅ;cd᪷+ᓄᡂᨬncd᪷+᝞{pqᦪhrᑣstᔠu.ᔠuRᔠu᪷+᜜Ḅ+ᓽvᦪhefpqᦪ᪷ᢣᦪ4Z.

3712.᪷Ḅᑨ+ᑭᵨDᐗcd᪷Ḅᑨ+(=b2-4ac)ᑨḄ᪷Ḅ.—ᐗcdax2+bx+c=0(a#0)Ḅ᪷4-4acᨵ᝞ᐵv;জᨵj4hḄjᦪ᪷ঝ=()ᨵjhḄjᦪ᪷ঞᦪ᪷.☢Ḅᩭᡂ.13.᪷vᦪḄᐵv(1)cd⚗vᦪ61,ᵨᐵv:XIX2Qx2+px+q=OḄ᪷X1+X2=_p,xiX2=q,ᩭ¢P=-(X1+X2),q=xiX2£ὅQ¥vᦪ"E᪷Ḅhᐵ¦⚪§ὅQ¥᪷"E,vᦪ.(2)cd⚗vᦪ461,ᑣᵨᐵv;XIX2QDᐗcdax2+bx+c=0hcbc(aWO)Ḅ᪷Xl+X2=--,X1X2=~,ᩭᡂᓽD=-(X1+X2),—=X1X2.aaaa(3)ᵨ᪷vᦪḄᐵv©¦⚪;জ4ᑨjᦪQ4QDᐗcdḄj᪷.ঝ¥ªḄDj᪷«¬Dj᪷ªᦪ.ঞ4«ᐵ᪷Ḅ+TḄ᝞«Xf+X22.টᑨ᪷Ḅ®}.ঠ«°±.ডᵫ#$Ḅ᪷´µḄᩩ"E¶VḄ&.·¸¦⚪¹º»ᔠ⚪◀¼ᑭᵨ᪷vᦪḄᐵvr½⌕ὃ⇋a#0,À()·j£Áᩩ.14.ᑖ+ḄÂᵨ1ஹᑡᑖ+Âᵨ⚪ḄDÄwx;ÅஹÆUஹஹÇஹÈ.'(ÉÊᢥ᯿·5wstÍ⚪Î⚪wx¬᜜½⌕>0Ð᦮ឋ;᝞ÅÈÒÓ⌕Ð᦮⌕ᑏ$ᓫÖ.2ஹ⌕×ØÙ¦⚪,ḄÚÛᐵv᝞t¦⚪;ÜÝ=Þßà°á¦⚪:à°ᦔ᳛=à°áà°ß.ᑡᑖ+Âᵨ⚪DE⌕äå⚪0æhᐵvQḼèé⌕êëᑖ᪆⚪0

38Áíᳮ5ï.15.ᙠᦪð⊤ò4+Ḅóᵨᦪð⊤ò4+Ḅó⌕>0"E";DQEõéDÄᙠᦪðR᪗$*éõéᓽ.E÷õé⌕>0éQø½Qùø÷õéúó6øé4úóᓽ6ùøécQEᔣEᔣḄ*ᑣQ;“ýᔣþᜧᔣ”.ூ௃ḄḄx>a,ᐸᐜaᐭᑣ!"#ᐸ$ᙠx>aḄ'ᑁ)*+ᦪᐭᑣᡂ..16.*ᐗ*$Ḅ0ᵨ21
ᵫ4▭6⚪8Ḅᐵ:ᑡ<=.>6⚪Ḅᦪ?@ABCᑮ4▭6⚪ḄEᫀ.22
ᑡ0ᵨ⚪◤⌕"JK"ஹ"ᨬN"ஹ"OC"ஹ"P"QᩭST6⚪8Ḅᐵ:.UV=.⌕ᗐX“ᐵZQ”8᢬᣾ᐸᑁ].23
ᑡ*ᐗ*$>4▭6⚪Ḅ^_`aজcd⚪8ᦪeᐵ:ᵨfg⊤ijkᦪ.ঝ᪷n⚪8Ḅᐵ:ᑡ<.ঞ<.টᑏ

39_`aজu8+Ḅঝᑭᵨᦪxᐳzᑖ.Ḅaᜧ)ᜧ)ᜧᜧ8ᜧᜧᑮ.18.6⚪ḄᦪᦪᐺAḄᦪᔠ0ᵨ¡BC¢£)¤>¥¦8Ḅ4▭6⚪§¨©ᑖ᪆6⚪ஹ>6⚪Ḅ«¬.ᵨ>6⚪⌕ᳮdḄ®¯ᓽ±².19.*$ᦪ³Ḅᙶ᪗ᱯ·*$ᦪ¸=1«+13,kWO,ºk,b»ᦪ¼Ḅ*ᩩ¾.~XḄ¿ᙶ᪗2-?0
yḄ¿ᙶ᪗20,b
.k¾³Àt*Ḅᙶ᪗ÁÂÃᦪᐵ:y=kx+b.20.*$ᦪḄ0ᵨ1ஹᑖÄᦪ6⚪ᑖÄᦪᙠÅᨵÇ0Ḅᦪ⌕ᱯÈÉtÊËe)Ì'ḄᑜᑖÎ⌕Ï?ᔠᳮÐ⌕rᔠ4▭.2ஹᦪḄNËe6⚪>®ᨵNËe6⚪ᑖ᪆ËeḄᐵ:⌱)ᐸ8*+ËeÒÊËeᯠÔ᪷n6⚪ḄᩩÕÖ×᧜4▭6⚪Ḅᦪ.3ஹᭆÚ᦮ᔠ21¼ÜᓫḄ*$ᦪ6⚪aজ=.ᦪ@AḄঝᑖÄᦪÞßḄ0ᵨ.22
ᳮd⚪tàᵨᑖÄᦪ>6⚪ḄᐵZ.21.×áâᦪḄឋä×áâᦪḄឋä1
×áâᦪy=kxkWO
Ḅåæ¾22
çk>0,åæ¾Ḅ!èᑖÈéê*ஹêë▲ᙠ*▲ᑁyíxḄîᜧïð

4023¼çkVO,åæ¾Ḅ!èᑖÈéêöஹê÷▲ᙠ*▲ᑁyíxḄîᜧïîᜧ.Éta×áâᦪḄᙶ᪗úᨵ¿.22.×áâᦪ:ᦪkḄwût¯áâ:ᦪkḄwût¯kᙠ×áâᦪy=-8À)*C*+ᔣx^yᑖÈÒᚖ¾ᙶx᪗'ᡂḄþḄ☢
|k1.ᙠᦪḄᔣᙶ᪗ᚖᚖ!"ᙶ᪗#ᡠ1᪀ᡂḄ'()Ḅ☢
+k|,-.ᢝ01.23.ᦪḄᙶ᪗ᱯ3ᦪy=k/x9k:;ᦪk#0>Ḅ
?@জḄ9x,y>ḄBCᙶ᪗Ḅ
k,ᓽxy=kEঝ?@
ᐵH#IJḄKLᑖNḄO
ᐵH#IJEঞᙠy=k/xQRSLᔣxyᑖTᚖUᙶ᪗VᡂḄW)Ḅ☢
|k|.24.XYᦪḄᙶ᪗ᱯ3b4ac—b2XYᦪy=ax2+bx+c9aWO>Ḅ
aᱥ⚔ᙶ᪗
9-e-——>.2a4aজaᱥ
ᐵHIJx=-2ᡂIJᡠ!aᱥḄᐵHIJIJ2a-hiᦪᦪᐵjk.⚔
aᱥḄᨬmᡈᨬo.ঝaᱥUypḄCᙶ᪗
ᦪq᪆QḄc.ঞaᱥUXḄKLpᐵHIJIJtKLpᑖT
9Xi0>,9X2,0>,ᑣᐸIJ:x=9*.225.aᱥUxḄpzXYᦪy=ax?+bx+c9a,b,c
;ᦪaWO>UxḄpᙶ᪗|y=0,ᓽ

41ax2+bx+c=0,qᐵHxḄᐗXY~ᓽzpBᙶ᪗.1!XYᦪ=2*2+6*+஺92,b,c
;ᦪaWO!ḄpUᐗXY~ax2+bx+c=O᪷Ḅᐵj.=b2-4acaᱥUxḄpLᦪ.=b2-4ac>0aᱥUxᨵ2LpE=b2-4ac=0aᱥUxᨵ1LpE=b2-4ac<0aᱥUxᨵp.2!XYᦪḄpky=ax-xi!x-X2!a,b,c
;ᦪaWO!,ᑮaᱥUxḄpᙶ᪗X10!,x,0!.226.XYᦪᔠ⚪1!XYᦪUᐸᦪᔠ⚪q⚪ᐜ᪷ḄᦪᡈᦪᑨjᦪḄᯠ¡ᑨ¢ḄᦪᐵjkQjᦪḄ£᪷jᦪUḄ¤¥ᐵjᑨᱯ3ᑣᔠᡠᨵᱯ3Ḅᓽ:¦§⌱⚗.2!XYᦪU~ஹ«¬®Ḅᔠ¯ᵨ±ᦪ®U~ஹ«¬®ᨵ²ᙢᔠᙠ´.µ⚪¶·¸¹ᜧ.q⚪ᐵ»
ᗐH±ᦪ⚪½ᓄ:~⚪ᗐHᑭᵨ«¬)ḄᨵᐵឋÁஹᳮXYᦪḄ®ÃÄ᢬᣾⚪ÇQḄÈ◚ÊᩩÌ.3!XYᦪᙠÍ▭ÏÐQḄ¯ᵨ⚪ÑÍ▭⚪Qᑖ᪆1ÒḄᐵjÓÔXYᦪÕÖ.ᐵ»ᙠH×Øஹᑖ᪆ஹÙÓÓÔ(ᙶ᪗jÚḄXYᦪᯠ¡ᦪ)ᔠq⚪◤⌕ᡃÞÄḄ
ß1Ò"ᦪḄRV⌕áÍ▭⚪ᨵâ.27.ãäḄឋÁ1ஹãäឋÁᳮᳮ1(Kᩩãäåæ'ᩩᡠçè¤(é.êᓫìᡂKãäè¤(é.ᳮ2(Kᩩãäåᙢ'ᩩᡠçèíᑁ(ï⊡..êᓫìᡂK

42ãäèíᑁ(ï⊡.ᳮ3Kᩩãäåæ'ᩩᡠçᑁ┯(é.êᓫìᡂKãäᑁ┯(é.2ஹKᩩãäḄóôᜐᜐé.28.ᐰé'()ḄᑨUឋÁ91>ᐰé'()Ḅᑨ
ᔠᐰé'()ḄឋÁ÷øù(éḄú⌕ûᐹ.ᙠᑨ'()ᐰéᐵ»
⌱ýាÿḄᑨᩩ.2ᙠᵨᐰḄᑨ⌕Ḅᐳᐳ⌕〉!"᪀⌼.29."%ᚖ'(ᑖ"Ḅឋ+1-./012ᩩ"%Ḅ3456ᚖ'78ᩩ"%Ḅ'"9:8ᩩ"%Ḅᚖ'(ᑖ"3ᚖ"ᚖ'(ᑖ";<"3ᚖ"".2ឋ+.জᚖ'(ᑖ"ᚖ'6(ᑖᐸᡠᙠ"%.—ঝᚖ'(ᑖ"DE24ᑮ"%GH4ḄIJK.—ঞᩩḄᚖ'(ᑖ"KM724N49᜜P56824ᑮQ⚔4ḄIJK.30.ῪḄឋ+1ῪḄᭆUᨵGᩩKḄ9:Ὺ.2ῪḄឋ+জῪḄGῪKঝῪḄGQWK.ூ;<.Y௃ঞῪḄ⚔(ᑖ"ஹWDḄ3"ஹWDḄ\K]^ᔠ.ூ"ᔠ2௃3ᙠজῪaঝWDḄ\aঞWDḄ3"aট⚔(ᑖ".cDdQᐗf3g3EhiGQᐗfᡂᩩklcmᑮn᜜GQᐗfopq.31.Ḅឋ+

431Ḅ-.ᩩrKḄ9:sᱯuḄῪ.জvlcwoᑨ2QsᔲoḄyzaঝlcmᑮv{ῪḄᐵ}.sῪḄᱯu~.ᙠ3ῪWஹ⚔WsKYḄ.2Ḅឋ+.ḄQᑁrK6r760஺.sY<vᨵᩩYa2,ᡠcc>a,¦ᳮc>b,ᓽ'Ḅᜧ7N'3Ḅ©2ᩩ'.33.Ὺ'1Gᩩ'KḄ'9:Ὺ'.2Ὺ's2ªᱯuḄᐹᨵᡠᨵḄឋ+¬ᐹᜓῪ'Ḅᡠᨵឋ+.ᓽ.GQ┦rs45஺D3"ஹ(ᑖ"ஹDḄ\"ᔠ2Ὺ'DḄ\o᜜°ᙊḄ²³R,\µoᑁᑗᙊḄ'³·oῪ'ḄGQ¸ᙳo45஺\µᚖ'7ᡠcGQ¸ᙳoῪ'ᑣGῪKa3»¼Ὺ'ᑁᑗᙊḄ²³r=l,ᑣ᜜°ᙊḄ²³R=V^+1,ᡠcr.R=l.V2+1.34.(ÁdḄᑨ{ឋ+

44(ÁdḄᑨ{ឋ+Ḅwᵨ(ÁdYKYKY"]K(ᑖ¡vḄᑨsᡃÃÄÅ'"Ḅ(Áஹ"%KஹKḄ^⌕yz»⌕ÄÅG'"(ÁG"%KஹGKlὃ⇋È⌕ÄḄ'"ஹ"%ஹஹᑖÉ72QdḄYᡈYḄËÉDÌ0ÄÅds(ÁdÍᑮDÎÏḄ.Ðᵨ-Ñlcᑨ1Qs(Ád8sÒᵨḄyzÓ⌕ÔÕ(ÁdḄ-ᨵᵨ-ᑨÖᵨᐸ×ᑨᳮ¬;ᓫ.Ùslcᵨ(ÁdÚÛÄÅḄÜ⚪Ó⌕ÞßᑮᵨᐰÄÅ'°Ðᵨ(ÁdḄឋ+ᑨàáâÜ⚪.35.ãḄឋ+1ãḄ-.ᨵ2äåKḄ(Ád9:ã.2
ãḄឋ+জãᐹᨵ(ÁdḄ2ᑗឋ+aঝãḄdᩩrKaঞãḄGᩩY"]Kᚖ'56©2ᩩY"(ᑖ2äYaটãsY<vᨵ2ᩩY<ᑖsGᩩY"ᡠᙠ'".3
ãḄ☢çèéজᑭᵨ(ÁdḄ☢ç.1ঝã☢ç=mab.aஹbsGᩩY"Ḅë36.ᚖ³ᳮ1
ᚖ³ᳮᚖ'7ìḄ'³(ᑖ8ᩩì56(ᑖìᡠYḄGᩩí.2
ᚖ³ᳮḄîqîq1.(ᑖìÓs'³Ḅ'³ᚖ'7ì56(ᑖìᡠYḄGᩩí.îq2.ìḄᚖ'(ᑖ"/0ᙊP56(ᑖìᡠYḄGᩩí.îq3.(ᑖìᡠY2ᩩíḄ'³ᚖ'(ᑖì56(ᑖìᡠYḄn2ᩩí.

4537.ᙊᕜᳮ1ᙊᕜḄ-.⚔4ᙠᙊD56Gr{ᙊKMḄ9:ᙊᕜ..ᙊᕜðñòGQᩩ.জ⚔4ᙠᙊD.ঝḄGᩩr{ᙊKMóὅõ2Ól.2ᙊᕜᳮ.ᙠ¦ᙊᡈᙊ3¦íᡈíᡠYḄᙊᕜKr78ᩩíᡠYḄᙊPḄ2².îq.²ᙊᡈ'³ᡠYḄᙊᕜs'90஺ḄᙊᕜᡠYḄìs'³.3ᙠáᙊḄᨵᐵÜ⚪ÒÒ◤⌕!"᪀ᡂ'³ᡠYḄᙊᕜ8ª÷øᢈúᢈû2⌕üý.4.জᙊᕜᙊPḄþᓄ
ᙊḄ᪀⌼Ὺ.ᑭᵨῪḄ⚔Ḅᐵᓄ.ঝᙊᕜᙊᕜḄᓄᑭᵨᐸ“᫑᫡"——ᙊ$ᓄ.ঞ&ᳮᡂ)Ḅᩩ+,"-.ᩩ/ᡠ1Ḅ”345ᙠ7ᵨ&ᳮ89⌕;ᶍ=>?ᩩ+5@9-/ᡠ1ḄᙊᕜAᙊ$┯Cᡂ-.ᩩ/ᡠ1Ḅᙊᕜᙊ$.38.ᑗEḄᑨ&AឋH
1ᑗEḄឋHজᙊḄᑗEᚖKLMᑗḄ.ঝMᙊ$NᚖKLᑗEḄKEOMᑗ.ঞMᑗNᚖKLᑗEḄKEOMᙊ$.
2ᑗEḄᑨ&&ᳮPMḄ᜜RNᚖKL>ᩩḄKE,ᙊḄᑗE.S3TUḄVWEḄPজᑨ&ᑗE8"Xᙊ$KEAᙊḄYᐳ"ᡈ"ᙊ$>ᩩKEḄᚖE"\ঝᨵᑗE85TT"⍗ᑮᑗXᙊ$`39.ᙊ┵Ḅbc
1Xdᙊ┵⚔☢ᙊᕜfgh.ḄEijkᙊ┵ḄlE.Xd⚔A☢ᙊ$ḄEijᙊ┵Ḅm.

46S2
ᙊ┵Ḅo☢pqrs.ᡧ5>?ᡧḄ/uLᙊ┵☢Ḅᕜu5ᡧḄLᙊ┵ḄlEu.__1S3
ᙊ┵Ḅo☢vPS=-*2nr*l=nrl.ffl4
ᙊ┵Ḅᐰ☢v:Sᐰ=S+Sz=ᑍ}+~1S5
ᙊ┵Ḅv=1X☢vrhPজᙊ┵ḄlEApqᡠ`ᡧḄ.ঝᙊ┵Ḅ☢ᕜuApqᡠ`ᡧḄ/u.40.r.ᩖrᩖr,ᙠ4rḄẠfr5.,ᔠ=rḄឋHr.⚪Ḅᐵ,៉rḄឋH5ᔠrḄឋH@ᩖrᡂr5⌲.41.Ḅᑨ&AឋHS1¡Ḅᱯ£¤5¥¦§¡Ḅ&¨5©1ª¡Ḅ«1ª3☢¬&¨;®ᩭ53?°ᨵ1ª,1ª¡Ḅ«.2
Ḅᑨ&.K,²ὃὃ´Ḅµ¶.,ᙠᑨ&3?85ªhᑭᵨr²·ᨵḄYᐳஹYᐳ¡◚ºᩩ+5»ᐙᑖ¾ᢵrḄᵨ5ÀÁḄ.,
ÂE᪀⌼\ᡈÃÄr1rᑖஹÅᔠ\ᡈVWE᪀⌼5ᑨ&ḄᨵÆᓫÈÉᵨ5ᨵ8◤⌕Ëᔠ7ᵨ5ÌÍ,ᓫÈÉᵨÎ,Ëᔠ7ᵨ5Ï⌕ᐹᜓªᨵḄᩩ+.42.┦ÓᦪḄ&¨ᙠÕÖABC²5ZC=90°.1
×ØPᡃÚ@┦AḄ1¡aAÛ¡cḄ«jkNAḄ×Ø5ÜsinA.

47ᓽsinA=NAḄ1¡◀»Û¡=..c2
ßØP┦AḄà¡bAÛ¡cḄ«jkNAḄßØ5ÜcosA.bᓽcosA=ZAḄà¡◀»Û¡c3
×ᑗP┦AḄ1¡aAà¡bḄ«jkNAḄ×ᑗ5ÜtanA.ᓽtanA=/AḄ1¡◀»NAḄà¡=2.bS4
ÓᦪP┦AḄ×ØஹßØஹ×ᑗÏjkNAḄ┦Óᦪ.43.ᱯ£ḄÓᦪáS1ᱯᢣ30஺ஹ45஺ஹ60஺Ḅᔜ4Óᦪá.1_V3一஺å;2\tan30=—\23VV2一22-\tan45°=l\21V3-;2tan60°=V3\2S2
ªᵨ²⌕Üᱯ£ḄÓᦪá5.,ᢥáḄçᓄèéêÜ5×Ø⌲ëìᜧ5ßØ⌲ëîï5×ᑗ⌲ëìᜧ\ð,ᢥᱯ£K²ᔜ¡ᱯ£áèéêÜ.S3
ᱯ£ḄÓᦪáªᵨñò5.,¥»Cᦪ7c5ð,ᐹᨵÓᦪḄᱯ5ᙠK²ªᵨó.44.ᵫõrᑨöS1ᵫõr÷øḄù5✌ᐜ5ªᑖü᪷Äþõrஹÿ

Ḅ☢ஹ☢☢Ḅᯠᔠᩭὃ⇋᦮.2
ᵫᱥḄ
Ḅᨵ"#$%Ḅ&'(')⌶+,-ᑖ᪆0জ᪷34
ஹ5

Ḅ☢ஹ☢☢Ḅ'6Ḅ7ஹ8ஹ9:ঝ(<=>=?@ABᑖ?CABᑖḄDE=:ঞGH"IJᓫḄḄ
LMᩖḄOᨵPQ:

48টᑭᵨᵫ
VWᨵV
ḄX⌮Z[\M]^C_`abc.45.ᐰ☢efWg᪵ef1ஹijefḄbcᨵᐰ☢efᓽlfmg᪵ef.2ஹᐰ☢efWg᪵efḄnop0জᐰ☢efᦈrḄᑮᦪ3ᐰ☢ஹuvw"xyz{ஹὑ}7~IefCᵨᐰ☢ef.ঝg᪵efᐹᨵyzஹḕ}ḄᱯpwgḄ᪵ᔲᐹᨵ⊤ឋᐵᑮL`jḄuv[%.3ஹ᝞⌱efbc⌕᪷3ᐹ~#."xᩭ0Zlf&'@ᑮᐰ☢ஹ&☠ḄwyzḄ}7ὑzᜧ"Ief⚗¡¢C〉ᔠlf.ᐸ"efὅ¦§ᨵ▲C¦,-lf.᝞0©efὅªcLᐰ«¬®¯°9,-lf.ᐸ±efZ[²ᨵẚ´ឋ.᝞0ef"ᢇ¶·Ḅ¸ᵨ¹º»¼¦½g᪵ef~C¦¾᦮ᢇ¶·ᐰBᵨ¿<À.ᐸᨵIÁefḄLªc,-lf.᝞0"ᜩᐰ«ÃᙳÅḄÆᦪǪc,-lf.46.ᡧij
1
ᡧij
ᵨ᦮©ᙊ⊤Ê`ᦪᵨᙊᑁᔜ©ᡧḄᜧ⊤ÊᔜBᑖᦪÍᓰ`ᦪḄÏᑖᦪ.Zᡧij
&'ÐÑÒᙢ⊤ÊÔᔜBᑖᦪÍÕ`ᦪÖḄᐵ.ᵨ᦮©ᙊḄ☢×⊤Ê`ᦪᓫØ1
,ᵨᙊḄᡧ☢×⊤ÊᔜBᑖᓰ`ᦪḄÏᑖᦪ.2
ᡧ
Ḅᱯp0(ᡧ
&'ÑÒᙢ?ÔᔜBᑖᦪÍ`ᦪÍÖḄᐵ.3
ᑴÚᡧ
ḄÛÜজ᪷3ᨵᐵᦪ3ᐜÞÔᔜBᑖᙠ`¬ᡠᓰḄÏᑖᦪáÞÔᔜBᑖᙊâãḄ%ᦪäåᔜBᑖᡧᙊâãḄ%ᦪ=Bᑖᓰ`ḄÏᑖçX360஺.—ঝᢥçë〉ìí+V"©ᙊ:ᢥᡧᙊâãḄ%ᦪᵨÍãᘤᙠᙊᑁÍÔᔜ©ᡧḄᙊâãḄ%ᦪ:টᙠᔜᡧᑁᑏðñḄòó6Ïᑖᦪ¢ᵨCÕḄ᪗Hõᔜᡧöᑖ÷ᩭ.

4947.ᩩij
1m#ú0ᩩij
ᵨ=û7%⊤Êᦪ3᪷3ᦪÍḄ{Vᡂ7ýCÕḄþᩩᯠᢥÿ
ᩩ᣸ᑡᩭ.2ᱯᩩ᧕ᦪḄᜧ!"#$.3ᑴ'ᩩḄ()*+জ᪷.Ḅᜧ/0ᩩ12ᚖḄ45.ঝᙠ8945:〉<ᑖ>ᩩḄ?@ABᩩḄCDEF◞.ঞᙠI8945ᚖḄ45:᪷ᦪᜧḄᐹKLMABᓫ?OD⊤QRS.টᢥ᯿ᦪᜧ/OWXYḄᩩZ[\ᦪ].48.^?ᦪ1^?ᦪ`(aᦪᢥ᯿ᑮᜧᡈᜧᑮḄd᣸ᑡ᝞fᦪḄgᦪh᜻ᦪ,ᑣᜐ"^F?@ḄᦪmhaᦪḄ^?ᦪ.᝞faᦪḄgᦪhᏔᦪᑣ^F0gᦪḄ9ᙳᦪmhaᦪḄ^?ᦪ.2^?ᦪp⊤qaᦪrᜧḄ“^"X᧕u᩽wrxyzX{ᐙᑖᑭᵨᡠᨵᦪḄ.3^?ᦪIᦪḄ᣸ᑡ?@ᨵᐵᦪḄ^?ᦪᨵxy^?ᦪ{ᙠᡠᦪ^{XᙠᡠḄᦪ^<(aᦪ^Ḅgᦪ$ᜧᵨ^?ᦪᐸ.49.1(aᦪ^ᔜᦪIḄ9ᙳᦪḄḄ9Ḅ9ᙳᦪaᦪḄ.2ᵨ"ᐜ9ᙳᯠ9ᨬ9ᙳ"¢ᑮḄ£f⊤Q(aᦪ¤¥9ᙳrḄLMg£f¦§ᵨS2ᩭ⊤Q©ª«¬hS2=ln°X1-X-2+X2-X-2+...+Xn-X-2
±ᓫ²³´“µ"Ḅ9ᙳᦪ”

503
h·᧜(aᦪḄ¹ᜧḄ(g].ºᜧᑣ9ᙳrḄ¥ᦣ¼Dºᜧ½Bឋº¿·ÀᑣIᐸ9ᙳrḄ¥ᦣ¼Dº½BឋºÁ.50.ÂÃÄÅ1
ABÄÅÄᐜ{ÆB(BÇÈÉḄÄÅÊ´ËᯠÄÅÄᐜ{ÆB(BXÇÈÉḄÄÅÊ´X{ÄÅËᯠÄÅEX{ÄÅÌhABḄ.2
ÂÃÄÅᙠ(BᩩÅÍ{ÈÉ{XÈÉḄÄÅÊ´ÂÃÄÅ.3
ÄÅᑖ´ABÄÅEXABÄÅÂÃÄÅABÄÅÎᑖ´ËᯠÄÅEX{ÄÅᐸ^জËᯠÄÅÈÉḄᭆ᳛´1,ᓽPËᯠÄÅ=1;ঝX{ÄÅÈÉḄᭆ᳛´0ᓽPX{ÄÅ=0ঞ᝞fA´XABÄÅÂÃÄÅÒÓ0

514᪛ᑡãÕ()h⌱î(gᐗÜEᐸïᐗÜᑖaᔠðñᑡò᪛Ḅóô¬ᨬõwḄóôgᦪmhöḄ{Ḅ£fn.5<ᨵ0gᐗÜᵨ᪛ᑡãᑡ⊤ᑡã.