江西省永修县某中学2021-2022学年十校联考最后数学试题含解析

《江西省永修县某中学2021-2022学年十校联考最后数学试题含解析》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。

ḕ2021-2022ᓝ᪥ὶὃᨬᦪ⚪
⚗1.ὃ⌕ᑏὃ஺2.⚪ᡠᨵᫀᡈᑏᙠ⚪ᓱᙠᔁ"#ᦔ஺%&'ᑖᵨ2B*+",%-'ᑖᵨ.⁐01Ḅ30+"஺3.ὃ456ὃ7ᔁ⚪ᓱ8ᙠ9☢;<ὃᕒᦈ?஺&ஹ⌱B⚪CDᜧ⚪ᐳ12GH⚪IH⚪4ᑖᐳ48ᑖ.ᙠIH⚪KLḄMG⌱⚗NOᨵ&⚗PQᔠ⚪S⌕TḄ1.HUVWXY᪥ᐜᒴ]^_ᑮabcdeᑖf6ᙶdhiahiaᒴ]_j&kl6ᑮmY᪥HUVWᑮY᪥_jnosCᓫqmrlsrCᓫqmintsuᦪᐵxḄᜧyz{PC}^sm
^sm
;§A-ᐭ,B-°tmin
°tmin
0tmln
^sm
D-0tmin
2.᝞zAB஺OḄC,D஺OḄAB=14,BC=1.ᑣNBDCḄ©ᦪPC}—A.15°B.30°C.45°D.60°3.ᑡᔜᦪNᦪḄP
A.-2r2B.2r2C.3r&D.3r334.᝞zᵫ5GᐰḄHᔠᡂ&GzªḄ«¬zPC}a•ᵪb-HzL5.¡x=2Pᐵ¢xḄ&ᐗ-¤ox2-x-2a=0Ḅ&G¥,ᑣaḄC}A.0B.-1C.1D.26.&ᐗ-¤o3x2-6x+4=0᪷Ḅ¯°P

1A.ᨵḄᦪ᪷B.ᨵḄᦪ᪷C.ᨵᦪ᪷D.ᨵᦪ᪷7.ᦪ!"#A.᦮ᦪB.ᑖᦪC.ᨵᳮᦪD.'ᳮᦪ8.᝞)*+,-./0ᙽ234Ḅ5ᴻᡭ8ᡂ2ᱏ*;ᙠ=⌕ᑮ5ᴻ@AB0ᙽCᐰ0᪵4FḄ5ᴻ.HIᨬḕJḄKL!M
A.MঞAB.MঝAC.MজAD.MজঝA9.᝞)!ᵫR,Ḅ-ST4UᡂḄVW)4*XḄYZ)["#10.+᪥\]1^_`ab*c,defgḄᱏᔣᐰ^ᐸ=,ᔜ〈0lᶇnop*ᐰ^ᐳ〈r1980lᱏ*᝞sᐰ^ᨵxt_*᪷u⚪v*ᑡxTy[A.AA-1-=1980B.x
x+1=19802C.2x
x+1=1980D.x
x-1=198011.zᑡᔜ{|জ36+3=6}~ঝ;=1ঞ0+a=&=2;ট=2/~ᐸ┯Ḅᨵ.A.3B.2C.1D.012.Ὺ2340ᩩḄ[3,XḄᩩḄ!ᐵxḄ0ᐗTyx2-12x+k=0Ḅ᪷*ᑣkḄ!"#A.27B.36C.27ᡈ36D.18ஹ⚪|"ᜧ⚪ᐳ6-⚪*c-⚪4ᑖ*ᐳ24ᑖ.#13.᝞)*S4ABCDEFGHᑁAABEḄ☢[6cmIᑣS4ABCDEFGH☢[cm1.

2EGDB14.᪷{JIᨵv*ᑣXḄ¢[.15.᝞)*஺஺Ḅ¤¥AB=8,C[A8Ḅ¦*P[஺O§0¨¦*©ªAPஹCP,«CnCD_LCP¬AP¦D,¦PB®¨ᑮCb*ᑣ¦D®¨Ḅ¯¥[.16.᝞sx+y-l=O,HI°ᦪ{X—ᓝ=Ḅ!____.Ix)x17.ᐔ-3Ḅµ¶!.18.0SᦪḄ·T᪷!3x-2¸5x-6,ᑣᦪ!.2ஹ¹º⚪|(ᜧ⚪ᐳ9-⚪*ᐳ78ᑖ*¹º¼ᑏxᦻ¿ÀÁஹÂÁ«yᡈÃÄÅÆ.19.(6ᑖ)᝞)*ᙠ·☢¤3ᙶ᪗Ê*ËᱥÍy=-x?+bx+cÎxϬ¦A(-1,0),¦B(3,0),ÎyϬ¦C,ÍÐBCÎËᱥÍḄ¶ÑϬ¦EஹP[ÍÐBC§Ḅ0¦(ΦBஹCÒᔠ)*«¦PnPF஻yϬËᱥͦF,©ÔDF.Õ¦PḄÖᙶ᪗[m.(1)×ØËᱥÍᡠ¶¼ḄÚᦪ⊤Ü{.(2)×PFḄÝ*ᵨßmḄ°ᦪ{⊤à.(3)áR4PEDF[·âR4b*×mḄ.20.(6ᑖ)ᡃäå°ᦪ℉nçèᑤÄLêëìíî“ðᐷᑖò”ô⚪|“0ᓟð0ᓟò*0ðR'öᦪ*R÷ᑖò0/E,øôðùúᦪ.”ᐸᜧv[|ûᨵ1000ðᐷᑖ1000ᓛò*1ðᑖ4ᓛ*4ᐷᑖ1ᓛ.ôð¸ᐷᔜýþÿ

3]3521.
6ᑖ⚔AḄᱥy=a
x-5
2-2B2,C
],2.পᱥḄ⊤ফ᝞1,ABxM,yE,ᱥyF,ᙠAB"ᨵP,$NOPM=NMAF,%POEḄ☢'ব᝞2,Q)ᢚA-B-C"Q+QN஻yE+EN஻xQNENN,,-QE,.%QEN/QE0ᢚ1ᑮ%QEN஺$N4ᙠx"5-ᑏ7QḄᙶ᪗.22.
8ᑖ;<=-22+2018°-V3623.
8ᑖ;<=G-2°+
g1+4cos300-|4-?|24.
10ᑖAB=$CDEFGH⚔ᐸJKH⚔ḄLMNᑣPHCDEQRNLCDEPH⚔QRPHCDEḄNL.
1ᑨT=HᑁV120஺ḄWE—NLCDE.Y“)”ᡈ“)”
2᝞2,ᙠ5x5Ḅ]^FᨵAஹB`5ᙠa⚪ᔁd7Ḅ`H]^"ᔜf7CஹD`H^g1hAஹBஹCஹD⚔ḄCDEiᐰNḄ“NLCDE”k7lḄ“NLCDE”mᑏ7nNLCDEḄoᙳqNLḄrVs.oᙳqNLḄrVsoᙳqNLḄrVs
3᝞1,%ABE%CDEt)NῪVKVEZAEB=ZDEC=90°,,vAD,AC,BC,$CDEABCD)hANLḄNLCDENBCDḄwᦪ.25.
10ᑖyḼ{|ᢈ~Ḅ“iὶ]+”ᑮᡃḄᔜH⚞]"ᙠ)

4±ᨵ²ᦟY´bµᑜdA,B·´Y¸Ḅᨴᦈº»:ᦈº»ᨴ½ᵨº/ᐗᒹl´ls/hÀlº/(ᐗ/min)A7250.01Bmn0.01ÂIᨴ´Y¸lsxHlᫀA,BḄᦈºÃÄᑖÅyA,yB.(1)᝞zPy*rxtsuᦪᐵxḄz{Æ᪷Çz{Èqm=ফᑏLy,ArxtsḄuᦪᐵx»,ব⌱BË·»´Y¸ᔠÌÍÎ.26.(12ᑖ)²᪥Ðd&¤ÑÒᢈHᑴ"ÕÖᨵA.B.C,DMG×ᐳØÙd1()()ÚÛÖ"Ü.C×ØÙḄÛÖ"ÜḄÝᝄ᳛50%,ᐸáeG×ḄÛÖ"ܯ°âÝᝄ¯°ãᑴᙠᑡz1z2äåæ᦮ḄèézN.ᔜ×Ýᝄ"Üᦪèézᔜ×ÛÖ"ÜPḄèéz(DB×ÛÖ"ÜᨵêëÚìফÆí7zঝḄèéz⊡ᐙ᦮;(3)ñòéÌóôËG×ḄÝᝄ᳛õì(4)7ᑏᨵA,B,C,DMG0öḄᐰḄᓱᱏ8ᐭøNVN&¤ùúûLüᓱᱏTûᑮA,B×Ḅᭆ᳛.27.(12ᑖ)ᵬஹÿ

ᨵᣚᜓᣚᜓ
Ḅᦔ᳛ᩭḄ2.
ᔜ"Ḅᦪ$%()()*()Ḅ+ᦪ,-᝞,ᡠ0.

5(1)ᵬḄᦪyxḄᦪᐵ.(2)¡¢஺Ḅ£.(3)ᵬஹ¡`7Ḅᔠᙠ¥¦§¨©300¦§¦§Ḅªᶍ;¬sា®¦¯°1§±¬sា®¦¯°2§±²ὃaᫀஹ⌱¶⚪(¸ᜧ⚪ᐳ12H»⚪¨»⚪4ᑖᐳ48ᑖ.ᙠ¨»⚪d7ḄCH⌱⚗F½ᨵ⚗)¾ᔠ⚪¿⌕Ḅ.)1,BூÃ᪆௃ூᑖ᪆௃᪷Ç»ÈÉÊḄËÌḄᐵÍA7ÎᓽÐ.ூÑÃ௃»ÈÒÓᑮ᪥ᐜᒴ×ÉᑮØÙÚÛSytḄÜsÝÜsNÞßᑖàáᙶ"ÞâØ,ÚÛᙠÜSÜsᙶ"ÞâØâØ/ḼâËᒴÉÊäáᑮ᪥ÚÛSåytḄÜsÝÜsᦑ⌱B.ூç௃¸⚪ὃèÞᦪḄÎéêᑖ᪆ᳮÃ⚪ìÍA7ᦪÎ)Ã⚪Ḅᐵí.2ஹBூÃ᪆௃½⌕îïAOCB)NDKVEÐ1NCDB=LZCOBᓽÐÃðñ⚪.2ூÑÃ௃᝞,-OC,

6VAB=14,BC=1,.,.OB=OC=BC=1,/.OCB)NDKVE.•.ZCOB=60°,:.ZCDB=-ZCOB=30°,2ᦑ⌱B.ூ௃¸⚪ὃèᙊᕜVAᳮNDKVEḄᑨANôÃ⚪Ḅᐵí)õᑭᵨᦪEvᔠḄ✌ᐜÃðñ⚪ùFὃὃ⚪ú.3^Aூ᪆௃᪷ǽᨵ¾ûüḄ`ᦪiýᦪÐ-ᑨT.ூ௃-22iýᦪᦑþÍ22N¾ûüᦑ)ýᦪ3:
᎔ᦪᦑ33ᦑᦪ.ᦑ⌱A.ூ௃⚪⌕ὃᦪᐵᱯᔲᨵ"#$%&ᓫ.4ஹBூ᪆௃)⚪ᑖ᪆,-☢/᧕1234ᨵ2567284ᨬ-:ᨵ3567.ᦑ⌱B.ὃ&ᓫ;ᔠ=Ḅ?@A.5ஹCூ᪆௃

7)⚪ᑖ᪆C6DḄEFᐭ6DHIJKLMNᦪaḄO.Vx=26DḄE...4-2-23=0,/.3=1.ᦑP⚪⌱C.ூὃ௃3ᐗ8T6DḄE3ᐗ8T6DḄUV.6ஹDூE᪆௃᪷XY8Z/ᴁJKAḄOᯠ^᪷XYḄO3ᐗ8T6D᪷ḄᐵNᑨ`ᓽH.ூbE௃■:a=3,b=-6,c=4,A=A2-4ac=(-6)2-4x3x4=-12<0,86D3x2-6x+4=0cᨵdᦪ᪷.ᦑ⌱D.ூe௃P⚪ὃ3ᐗ8T6Dax2+%x+c=0(a#0)Ḅ᪷ḄᑨfgA=,-4aciA>0j3ᐗ8T6Dᨵk5lḄdᦪ᪷iY=()j3ᐗ8T6Dᨵk5lḄdᦪ᪷iY<()j3ᐗ8T6Dcᨵdᦪ᪷.7ஹDூE᪆௃ᵫrᙊᕜ᳛”35w▲yzḄ{ᦪᵫᓽHJE.ூbE௃Edᦪ7T35w▲yzḄ{ᦪ.ᡠIwᳮᦪ.ᦑ⌱D.ூe௃P⚪⌕ὃwᳮᦪḄᭆᐔḄ3wᳮᦪḄ7g$%&ᓫ.8ஹAூE᪆௃23ᙽ28ᙽᶇ?7Ḅ35ᑖ:᪷XkᙽḄ3ᙽᙳ3ᙽᩭᐰ3᪵Ḅ2?ᙽᶇᩭ?7Ḅk5ᶇ3:ᑣHI᪷XASAᩭ3ᙽ3᪵Ḅᴻ.ூbE௃ঞ?7Ḅkᜳ:᪷XASAᳮ3U?7.ᐸ¢k5£.ᦑ⌱A.ூe௃

82⚪4⌕ὃ7ᐰ9:;<Ḅ=ᵨ?@ABᓽDE⚪.9ஹBூE᪆௃᪷LMN,OPQRSḄ,

9)⚪ᑖ᪆ᵫrlῪ?7Ḅ3:¥3
¦ᡈ
ῪUᦑ¨ᑖk©ª«£¬3i3
Ὺjᐸ®kᩩ:°ᨵ35
3,Cx=3Fᐭ6DHJKkḄO«±JK6DḄ²35᪷³᪷X?7Ḅ?:ᐵNᑨ`ᔲ"ᔠ⚪´ᓽH3i3
¦jᑣᐸ®kᩩ:lᓽ6Dᨵk5lḄdᦪ᪷ᵫA=0HJKkḄO³JK6DḄk5᪷«£ᑨ`ᓽH.)⚪E᪆ᑖk©ª3iᐸ®kᩩ:ᨵ35
3jµx=3Fᐭ6D133-33x3+k=0E1:k=37µk=37Fᐭ6D1X3-33X+37=0E1x=3ᡈ93,3,9;ᡂ?7"ᔠ⚪´¸¹
3i3
¦jᑣᐸ®k:lᓽY=º»,j344-4k=0E1k=3µk=3Fᐭ6D1x3-33x+3=0E1x=63,6,6;ᡂ?7"ᔠ⚪´.ᦑkḄO
3.ᦑ⌱B.ὃ3.lῪ?7Ḅឋ¾3.3ᐗ8T6DḄE.8ஹ¿À⚪ºPᜧ⚪ᐳ65{⚪Ã{⚪4ᑖᐳ24ᑖ.»13ஹ14ூ᪆௃ÄAEI,ÅÆIB,ᑣÇ:7ABCDEFGHᵫ85AIDEᐰlḄ?7᪀ᡂ.ூ௃EÄAEI,ÅÆIB.ᑣÇ:7ABCDEFGHᵫ85AIABᐰlḄ?7᪀ᡂ.

10EGDHk/'I)C/ABIAEḄ-===3,I2L-71/■:gx6ᑣᙊᑁÆÇ:7ABCDEFGHḄ☢Ò
8x3=14cm1.ᦑÓᫀ
14.ூe௃P⚪ὃÕ:7Ḅឋ¾EÓ⚪ḄᐵÖK×ØÙ᪀⌼K?7.114ஹx>-----.2ூ᪆௃ὃ8T᪷gᨵ´VḄᩩÛ.᪷X8T᪷gḄ´VÜÝ6ᦪÞßᦪJE.E᪷X⚪´11+2x20,E1xj.2ᦑÓᫀ
x>--.215ஹ2%ூ᪆௃ᑖ᪆IAC
à:ÖlῪá?7AC0,ᑣNA0C=9O஺ãXNADC=135஺H1஺Ḅäåæç
I஺
ᙊè,9()X7TX4AQ
íîḄAC
ãXYAC஺AQ=4,ᓽH1ᑮ஺äåḄðî¥
3=2ñ180bE᝞AᡠóIAC
à:ÖlῪá?7ACQ,ᑣNAQC=90஺.஺஺Ḅáî
A3,C
4ôḄ,/.ZAPC=45°.õa)_LCP,.,.NOCP=90஺./ö஺஺=45஺NAOC=135஺.,.஺Ḅäåæç
I஺
ᙊè,
íîḄõ•••48=8,C
Ḅ
AC=4Z,•••4CQAg=4,.,.஺äåḄðî¥
90x»x4---------=2n.180ᦑÓᫀ
27r.

11eP⚪ὃæçlῪá?7Ḅឋ¾ᙊᕜUᳮI÷¥ḄøùÖK×ØÙE⚪Ḅᐵ.16ஹ1ூE᪆௃ᑖ᪆úᡠJFᦪg᪷XᑖgḄûᔠäùüý«£ᓄ&³Cx+y-i=oÿ
᦮ᐭᓽ.ᧅIXJX/22ஹ=:¨XX
Xxx-y—x+y.•.•x+y-1=0,/.x+y=1.ᦑᫀLὃᑖḄᔠ!"#$⚪Ḅᐵ'.()᦮ᐭ*Ḅᵨ.17ஹn-1.ூ᪆௃᪷1234Ḅឋ6ᓽ.ூ௃n-1Ḅ234$:r-1.ᦑᫀ7T-1.ூ௃8⚪ὃ9234Ḅឋ6:;ᵨ234Ḅឋ6$<=⚪Ḅᐵ'.18ஹ1ூ᪆௃

12²⚪E᪆:᪷L⚪ucW3x-2+5x-6=0,EcWx=L3x-2=l,5x-6=-l.(±1)2=1.ᦑTᫀ´1ூZ[௃W{hᦪᨵ2{µ᪷¶·¸´d¹ᦪ.:ஹET⚪W(*ᜧ⚪ᐳ9{»⚪ᐳ78ᑖETeᑏ~ᦻ¿ÀÁஹÂÁÃᡈÅÆÇ.19ஹ(1)y=-x2+2x+l(2)-m2+lni.(1)2.ூE᪆௃(1)᪷LÈÉÊᦪDc+ᦪE᪆Ë(2)᪷L"Ì$(+ᦪÍḄÎeᐵÊDcCZᙶ᪗᪷LµÑÒyÓḄÔlPZÕ)ḄÖ×ØᜧḄÙᙶ᪗ÚØḄÙᙶ᪗DcTᫀ(1)᪷L"Ì$(+ᦪÍḄÎeᐵÊDcFZᙶ᪗᪷LµÑÒyÓḄÔlPZÕ)ḄÖ×ØᜧḄÙᙶ᪗ÚØḄÙᙶ᪗DcDEḄÛ᪷LµÑÜÝ<ḄÎÝd9DcᐵÒmḄ᪷LEDcmḄÍ.ூUE௃EW(1)•.•ZA(-1,0),ZB(1,0)ᙠàᱥly=-x2+bx+cP-l+b+c=0•{-9+3"cmEcc=32àᱥlᡠÎeḄ+ᦪ⊤ãËy=-x2+2x+l(2)I•2àᱥlᡠÎeḄ+ᦪ⊤ãËy=-x?+2x+l,AC(0,1).BCᡠᙠḄÔlḄ+ᦪE᪆Ë´y=kx+b,äBஹCZḄᙶ᪗åᐭ+ᦪE᪆Ëc'3k+b=Qk=-l,Ecçb=3b=3ᓽBCḄ+ᦪE᪆Ë´y=-x+l.ᵫPᙠBCPFᙠàᱥlPcP(m,-m+1),F(m,-m2+2m+l).PF=-m2+2m+l-(-m+1)=-m2+lm.

13(1)᝞,•.•2àᱥlᡠÎeḄ+ᦪ⊤ãËy=-x2+2+l,XAD(1,4).•.•lèBC(àᱥlḄÎéÓêÒZE,ëx=ly=-x+l=2,.♦.E(1,2),/.DE=4-2=2.ᵫÜÝ

14ூZ[௃*⚪4⌕ὃ7ᐗ
Ḅeᵨ᪷L⚪uᑡ~ᐗ
E⚪Ḅᐵa.21ஹ(l)y=(x-y)2-2(22POEḄ☢ú´ûᡈg(3)ZQḄᙶ᪗´()ᡈ(ü2)ᡈ(⁠2).ூE᪆௃(1)äZBᙶ᪗åᐭE᪆ËþcaḄÍᓽDcOP0E(2)ᵫNOPM=NMAF\OP஻AF,L2ÂÿOPEsaFAE
=—FAFE—44=3=-,ᓽOP=FA,P(t,-2t-l),ᑡᐵtḄ
—334(3)ᑖQᙠABஹQᙠBCQᙠyஹQᙠBCQᙠy!"ᑖ#$%ᓽ
.ூ(௃31*প,B(./2)0ᐭy=a(x—-2ߟ2,22
a=l,•••5ᱥ7Ḅ⊤9:;y=(x—)2—2,(2)ᵫy=(x-L)2—2=A(L,-2),22-2=-k+b2>7AB⊤9:;?=1«+1),0ᐭA,BḄᙶ᪗
2^--k+b[2[k=-2
,b=-\>7ABḄ⊤9:;y=-2x—1,71᧕CE(0,-1),F(0,M(0),42DNOPM=NMAF,AOP/ZAF,.,.OPE<^AFAE,OPOE_1_4•••FA-FE-J-3.4

15>P(t,-2t-D
ᑣJt2+(_2t—1)222@ti=-Y7
t=——,21532ᵫ3BឋCDti=EFGHIJNOPM=NMAF,22.,.t)=EE
t2=EKLIJᩩN153VAPOEḄ☢P=^OE|t|,2APOEḄ☢PEᡈRK153(3)᝞TUQᙠABWXYN
Z[\RS஻y]^QR_R,^NEḄ`a\_S,>Q(a,-2a-l),ᑣNE=-a,QN=-2a.ᵫbᢚCQN
=QN=-2a,NfE=NE=-a,ᵫNQN
E=NN=90°᧕CAQRN^AN^E,.QR_RN'_QN'QR_-2a-1_-2a_•-------=----=------
ᓽBn=--------=-----2N'SESEN'1ES-a-2a-1AQR=2,ES=---,ᵫNE+ES=NS=QR@Ea+=2,@a=E%᝞TUQᙠBCWXhQᙠy]ijYN
Z[\RS஻y]^BC_R,^NEḄ`a\_S.

16᧕=RN
=2,SN'=1,QN'=QN=3,**-QR=yfs9SE=5/5—a.ᙠRSSEN
E,(>/5~a)2+l2=a2,
a=GH/5rw-3IQ(----92),5᝞K/DQᙠBC/Qᙠy/LN
M>7RS஻y/NBCR,NNEḄOP7S.᧕=RN
=2,SN
=LQN=QN=3,.QR=
SE=V5-a.ᙠRtASEN
E/Q⌲-a2+F=a2,
a=T/5

17AQ(—2).5kWQḄᙶ᪗(Eop)ᡈ(Eᙢ2)ᡈ(s2).4255ூ௃8⚪t⌕ὃvwᦪḄkᔠ=⚪⚪Ḅᐵ'$!yz{ᦪ*|wᦪ᪆ஹ}~RḄᑨzឋ6ஹbᢚᣚḄឋ6zᳮC.22ஹ-1ூ᪆௃ᑖ᪆✌ᐜஹvᯠ
ᓽ.=4+1-6=-1.⚪t⌕ὃ9ᦪḄᐵ'$!Ḅ)ஹvv᪷Ḅឋ6.23ஹ4ூ᪆௃[ᑭᵨᢣᦪḄឋ6¡¢ᢣᦪḄឋ6ᱯ¤ḄRwᦪ4ஹ234Ḅឋ6ᑖ¥ᓄ§¨©@ªᫀ.ூ௃(x/3-2)°+(1)1+4cos300-|4-712Ia=1+3+4X2--(4-273)2=4+2ḕ-4+2¬=473.ூ௃⚪t⌕ὃ9ᦪ®ᓄ§ᔜᦪ$⚪ᐵ'.24ஹ(1)$K(2)°᪆K(3)150°.ூ᪆௃(1)ᵫ±Ḅឋ6²RḄᑨzឋ6ᓽ@ª³´K(2)᪷1⚪)µªTᵫzᳮᓽ@ªᫀK(3)ᵫSAS¶·¸AECgZ^BED,@ªAC=BD,ᵫ¹º²Ḅz@ªAD=AB=AC,¶ªAD=AB=BD,ABD$²R@ªNDAB=60஺ᵫSSS¶·¸AED¼AEC,@ªNCAE=NDAE=15஺|ªZDAC=ZCAE+ZDAE=30°,ZBAC=ZBAE-NCAE=30஺ᵫῪRḄឋ6Rᑁzᳮ|ªNACB

18UNACDḄVᦪ/ᓽ
Xᫀ.ூ(௃*(1)Zᑁ\;120஺Ḅ^_`abcd_ᦑXᫀ;`(2)᝞K2,K3ᡠg*ᙠK2E/ᵫhijᳮ
*CD=4+3?=l,ᙠK3E/ᵫhijᳮ
*ᡭ+32=3o,ᦑXᫀ;(3)*pqBD.᝞K1ᡠg*•.,ABECDEr`aῪ>\\_/.*.DE=EC,AE=EB,ZDEC+ZBEC=ZAEB+ZBEC,ᓽNAEC=NDEB,DE=CEᙠAAECUABEDE/,NAEC=/BED,AE=BE,.,.AEC^ABED(SAS),.*.AC=BD,•cd_ABCD`tA;abḄabcd_/.AD=AB=AC,AD=AB=BD,.,.ABD`ad\_/:.ZDAB=60°,:.ZDAE=ZDAB-ZEAB=60°-45°=15°,AD^ACᙠAAEDUAAECE/DE=CEAE=AE,/.AED^AAEC(SSS),:.ZCAE=ZDAE=15°,:.ZDAC=ZCAE+ZDAE=30°,NBAC=NBAE-NCAE=30°,,.,AB=AC,AC=AD,

19180-300180-300ZACB==75°,NACO==75°,22:.ZBCD=ZACB+ZACD=75°+75°=150°.ூ௃8⚪$º²kᔠ⚪¿ὃ9¹º²Ḅᑨzឋ6ஹ±Ḅឋ6ஹ²RḄᑨzឋ6ஹzᳮஹᐰRḄᑨzឋ6ஹῪRḄឋ6ஹRᑁzᳮCK8⚪kᔠឋÁᨵEzÃĶ·Rᐰ$<=⚪Ḅᐵ'.25ஹ(1)10,50(2)°᪆K(3)D030G⌱ÆBWÇÈÉᔠ.ூ᪆௃(1)ᵫTÍCm=10,n=50(2)᪷1ÎCᩩNᓽ|@y,\xpÏḄwᦪᐵ{DÐ25Gy,\=7Dx>25Gy,ஹ=7+(x-25)(3)ᐜ|ªyBxpÏwᦪᐵ{DÐ50Gy=10Dx>50Gy=10+(x-50)x60x0.01=0.6x-20ᯠ
BBᑖÑ|ªÊËWÇÈÉᔠᓽ.ூ௃(1)ᵫTÍCm=10,n=50ᦑᫀ:1050(2)yAxpÏḄwᦪᐵ{DÐ25Gy=7,ADx>25G,y=7+(x-25)x60x0.0L.yA=0.6x-8,A.7(025)(3)VyBxpÏwᦪᐵ{DX05OGyB=10,Dx>50G,y=10+(x-50)x60x0.01=0.6x-20,BD0VxW25GyA=7,yB=50,

20.•.yAீyB,.•.⌱ÆAWÇÈÉᔠD25VxW50G.y,\=yB,ᓽ0.6x-8=10,@Kx=30,...D25VxV30Gyy,⌱ÆBWÇÈÉᔠABDx>50GVyA=0.6x-8,yu=0.6x-20,yA>yu,♦,•⌱ÆBWÇÈÉᔠ,kWᡠÕD0Vx<30GyAீyB,⌱ÆAWÇÈÉᔠDx=30GyA=yi“⌱ÆÊËWÇÈÉLÌ,Dx>30GyA>y,⌱ÆBWÇÈÉᔠ.Bூ௃8⚪ὃEvwᦪḄÖᵨ.26ஹ(1)25NK(2)°᪆K(3)B×ḄØᝄ᳛ÛK(4);ூ᪆௃Ü⚪ᑖ᪆(1)[ᑭᵨᡧÞT߬ᑖᦪ¨©|ªB×àáZâᦪãK(2)ᑭᵨC×äåḄàáZâḄØᝄ᳛50%,³ᔠC×àáᦪ!ªØᝄᦪ"(3)ᑖ¥|ªᔜ×ḄØᝄ¬ᑖ᳛¨©|ªᫀK(4)ᑭᵨ᪛çÞT@ªᡠᨵèᔠ⚪)Ḅᫀ¨©|ªᐸᭆ᳛.Ü⚪᪆(1)ᵫ⚪)@100x(1-35%-20%-20%)=25(N)B×àáZâᨵ25NK(2)×äåḄàáZâḄØᝄ᳛50%,×ḄàáZâḄØᝄᦪã100x2()%x50%=10(N)᝞TᡠFT2(3)A×ḄØᝄ᳛1T=X1O0%=4O%,B×ḄØᝄ᳛=xl00%=44%,

21CḄᝄ᳛;*=50%DḄᝄ᳛;*77xl00%=40%,ᦑcḄᝄ᳛;Q4᝞Kᡠg:3AABGCaDᦑᐳᨵ12!"/ᔠ⚪Ḅᨵ2!"/ᑣE¡¢£ᓱᱏ/C¡ᑮAஹB¢Ḅᭆ᳛;*3=.ὃ*1.ᑡ⊤ª«᪛Kª2.ᡧ_¯°K3.ᩩ_¯°K.27ஹQ1²᪆Q2300Q32´µூ᪆௃*Q1ᵬ·¸¹Ḅº»ᦪ¼y«µ½xḄ¾ᦪᐵ¿:;?=À.᪷Â⚪/
6%=360,
=60.ᡠt/ᵬ·¸¹Ḅº»ᦪ¼j«µ½xḄ¾ᦪᐵ¿:;:y=60x.(2)Äx=2µ/y=100.Å;ÆᣚᜓÉ/Ê·¹Mᦔ᳛`ÌᩭḄ2Î,Ïc=ᔩ2ᡠt,
a=300.4.8-2.82Q3Ê·ÆᣚᜓÉ/Ê·¸¹Ḅº»ḄZᦪy«µ½xḄ¾ᦪᐵ¿:;y=100+100(%-2.8)=100%-180.30ÄOS0µ/60x+50x=300.
x=ÓÔ.Ä2y2.8µ/100+60x=300.
x=W.ÓÔ.3Ä2.8Ö4.8µ/60x+100x-180=300.
x=3.ᡠt/×L3´µាÙÚÛÜ1Ý.39Ä3ßà4.8µ/60x+100x-180-300x2.
á=â.ÓÔ.Ä4.8X6µ.6()x+300=300x2.
x=5.Å;5-3=2,ᡠt/ä×L2´µាÙÚÛÜ2Ý.