山东省济南市天桥区2021-2022学年七年级下学期期末数学试题（含答案解析）

《山东省济南市天桥区2021-2022学年七年级下学期期末数学试题（含答案解析）》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。

ḕᓭᜩ᫑2021-2022ᦪ⚪᪥:ὃஹᓫ⌱⚪1.ᓅᝍᙊ“ᑖ”$ᔁ&ᑮ()*+,-..ᡂ012Ḅ456ᫀ89:;6<Ḅ8=>AB.BEIJINCc.202^D.2.?@ABCᜧEF0.00000012GᦪI0.00000012ᵨKLᦪM⊤OP=>A.1.2X10-7B.12x10sC.120x1
6D.0.12xl093.ᑡRSTUḄ8=>A.a5+a5=a'°B.=஻>^=9C.ab஺^=ab8D.a6^a3=a2a4.[\]^<_`ḄFᑖa83b8,ᑣd]^A.4B.5C.10D.115.hiḄjklᒹnᨵ80ᐗlqᙠstᕜvwxᒹlᒹvḄlyḼ{|Ḅ}ᓄ}ᓄᙠ}8=>A.{|B.hiC.80ᐗD.lᒹvḄl6.ᑡᯠḄ8=>A.ᙢᙳᒴḄḄᦪ8᜻ᦪB.y5⍗ᑮxC.5]^<ᐸᑁ^b8180஺D.ᨵ]ᩩ¥¦§¨]ᩩ¥¦✌ª«1¬f®.ᡂ5]^<7.᝞6AB//CD,ZA=30°,D4°ᑖNCOE,ᑣNDE8Ḅ+ᦪP=

1cDA.45°B.60°C.75°D.80°8.᝞6᪷ᚖBᙢ☢Ḅ´ᩚᙠ¶ᙢ☢5mᜐᢚ¹´ᩚ⚔»ᙠ¶´ᩚ¼»12mᜐ´ᩚᢚ¹½¾Ḅ*+8=>A.5mB.12mC.13mD.18m9.᝞6B¥஺£8A/8C`NCḄᚖB°ᑖ¥ÀÁ/C¬E,Á¬஺ÂCD,[\8c=8cm,J5=12cm,ᑣḄᕜFP=>C.20cmD.22cm10.᝞68ஹEஹCஹ/4ᐳ¥,□8=DDEF,BE=CF,ÆÇ5ᩩÈgᑨÊ/BCUQDE/Ḅ8=>A.□/=£>B.AB=DEC.ACQDFD.AC=DF11.᝞6ᙠZC=9O°,®“PᙊÍFPÎCÏᑖa/C,AB
ஹM,N,Ðᑖa®NPᙊÍᜧgMNFPÎCÏ_ÏO,ÑÒ¥N஺8c£,[\N8=10,S^=20,ᑣCEḄFP=)ABE

2caABA.6B.5C.4D.312.[\ÔHÕ61Ḅ`᪾(`᪾Ø^ᜐÙÚ¬ᚖB)ᢥA—B—C—D—E—FḄCᒴÜRÔ¬ÝḄÞ/ßḄ☢àS(cm2)ᐵ{|fâ)Ḅᐵã6ä᝞62,[\ZF=8cm,ᑡåM┯çḄ8()6162A.Ô”ḄÜ+P2cm/sB.6ḄèP14C.8cḄF+P6cmD.ᙠRÔé4/1êḄ☢àP30cm2{ḄRÔ{|83.75sᡈ9.25sìஹíî⚪13.ïSa-(a+3)=14.5hᳫᙠ᝞6ᡠOḄᙢòóᵫõÔöy÷ᙠ?ᙽùẈ᝞ûüᙽùẈ◀þ⁐᜜
ᐰᳫᨬᶇᙠẈḄᭆ᳛.15.(%—6)2=x2+kx+36,ᑣ*Ḅ.16.ᙠឋ▲ᑁ!ᢞᱥ$%&'()*+!Ḅ(y(cm),ᡠᢞᱥ$Ḅ./x(kg)01Ḅᐵ3᝞5⊤7ᱥ$Ḅ./(kg)012345

3!Ḅ((cm)1212.51313.51414.5ᑏBy,xḄᐵ3E.17.᝞GHI“஻L+M30஺PḄHPQPRN8Cᢥ᝞GWEXYᐸ[+ᩩHP]Ḅ^⚔`Ca/ᑖdeᙠHIa,b,□1=25஺ᑣj2=.18.᝞Gᙠ&j/2஺[JACB=90°,AC=BC,lI/EnE1A4cḄpᑖIBCq`r`8sZ3ḄᚖI,lI/ᔆwq`E,xyCE,MDEḄ[`xy8஻|}(,DCḄ}(Iwq`G,ᑣ5ᑡ7□□8CGC)C]/C£)ᵫGᚖHpᑖDE□□G=2OG5£DBE+CG=AC,ᡠᨵᙠI.Qஹ⚪19.7(1)2022°+(1)-'ফ/•/•஻+(a2)4+(2/)220.ᓄ7(X+1)2-(X+2)(X-2),ᐸ[X=-3.21.ᳮ¡.)*᝞G3\=UACB,02=03,¢£¤CDIFH

4A¨¤7□□l=EL4CB()□□2=aZ)CF()2=!3()□□3=D£>CF()QCDQFH()22.ᙠ+©ª«¤Ḅj¬®ᨵ4©¯ᳫa6©°ᳫ±²ᳫ◀´⁐᜜¶Lᳫ᤯ᒴ.(1)¹[º»᥎B+©ᳫ᥎ᑮᳫḄᭆ᳛ᜧ(¯ᡈ°)(2)¹[º»᥎B+©ᳫ᥎ᑮ¯ᳫḄᭆ᳛(3)¹j¬ÀÁx©°ᳫ%Xᐭx©¯ᳫ|ᐙᑖ᤯ᒴÄÅ᥎B¯ᳫḄᭆ᳛(xḄ.23.᝞G`C,E,F,8ᙠ+ᩩHICE=BF,AB=DC,3B=^C,¨¤7AE=DF.24.᝞GᙠWÆÇÈ[É©WÆḄ](¶1,ÇÈ[ᨵ+©È`j48஺.

5M(1)ᙠG[sBj/BCᐵqHIMNḄÊËGÆj“‘8ᓃ'ফj/5஺Ḅ☢Ð;(3)ᙠHIMNÒB`P,nÓ8+PCḄÔÕᨬÖ±©ᨬÖÔÕ.25.¤¹×BØÙÚÛÜÝÞßàáâãḄäÙå+æç%èᯠêë⌕íᦻᐹqðᢚòᑮóôrḄõᦻᐹöíᑮᦻᐹ%÷øÙÜÝÞ᪥᝞GàúûÞᡠᵨḄý1,Õ×ḄÔÕ01Ḅᐵ3G᪷ÿ
Ḅᑡ⚪(1)ᑮ᪥Ḅᦻᐹᑮ᪥Ḅ(2)ᙠᦻᐹᶇ!ᑖ#$%&⌶
(ᐳ*+!(3)ᙠ᦮-&⌶
.-/012345ᨬ78ᨬ7Ḅ459:8(4)᝞<=ᦻᐹ>?@Ḅ45A᪥◤⌕DE9F/0826.᝞GFH஻ḄJKL
ᨵ(-GFH6(6

6(1)(1)X1▢PQᑖḄ☢ZH2
▢PQᑖḄ☢ZH⎃]^_ᵨaa,6Ḅef⊤hy=,S=,ᑏm&nop
ᡠrhḄstue2(2)^_vᵨᑭᵨx-ueyz□(-^x—y)□102x98(3)vᵨᑭᵨx-ue☢ᦪeḄ.(3+1)x(32+1)x(34+1)x(38+1)x(316+1)......x(31024+1)+18CEῪ^L)J4CAnBCE=9(y(1)᝞᤮E18CE/(/ஹCஹ8ᙠ§(ᩩ^&Eᙠ&)¤-ᓅஹ8஺1/£8஺Ḅᦪᐵ(ߟª«ᐵ_______.(^_ᑏmᫀ)DACB(2)᝞MCQBBCE/¤_ZEஹBD,(1)
Ḅᔲ¯ᯠᡂ±8]²ᳮᵫDC(3)᝞᤮³/CDEIBCE/¤_4EஹDE.AE2=DE2+2CE2,EIDECḄ5ᦪ.

7

8¶ὃᫀ1.Dூᑖ᪆௃᪷¼½¾¿ÀᑨÂᓽÄூÅÆ௃ÆA.<¼½¾L<Çᔠ⚪ÉB.<¼½¾L<Çᔠ⚪ÉC.<¼½¾L<Çᔠ⚪ÉD.¼½¾LÇᔠ⚪Éᦑ⌱D.ூÌ௃$⚪ὃÍ!¼½¾L᝞(-Î☢LÏḼ(ᩩ^ᢚÒ^ÓÔḄQᑖÕÖ×ØÙᔠÚÛx-LÜݼ½¾Lxᩩ^ÞßḄ½¾¼àá¿ÀÆ⚪ᐵâ.2.Aூᑖ᪆௃ãäᦪtḄ⊤åLeHaxio”ḄLeᐸ
”§10,஻H᦮ᦪè¿஻Ḅé/⌕êëìᦪíᡂa/ᦪîï!9:ª஻Ḅð½éᦪîïḄªᦪاñìᦪð½éᜧóó10/஻Jᦪñìᦪð½éó1/஻ôᦪᵫõö*ÆᓽÄ÷ᑮᫀ.ூÅÆ௃Æ0.00000012=1.2X10-7ᦑ⌱A.ூÌ௃$⚪ø⌕ὃÍ!ãäᦪtÆ⚪ḄᐵâᙠóÕÖùúàáãäᦪtḄ¿À.3.Bூᑖ᪆௃᪷ᔠû§ü⚗þḄsKZḄsK§ÿᦪ
Ḅ◀Ḅᑣᓽ.ூ௃Aஹa5+a5=2as,┯ᔠ⚪Bஹ3=M,ᔠ⚪CஹAi4*┯ᔠ⚪Dஹa6^a3=a3,┯ᔠ⚪ᦑ⌱B.ூ'(௃)⚪*⌕ὃ-.ᔠ/01⚗3Ḅ456Ḅ4507ᦪ8Ḅ◀9:;ᐵᑣ=⚪Ḅᐵ>.4.Cூᑖ᪆௃᪷BCDEḄCFḄᐵG⌲IᑨKCDEḄCFL=ᔲᔠCDEḄCFᐵGᓽ.ூ௃᪷BCDEḄCFᐵGNCDEḄOCFᜧQ8-3=5,RQ3+8=11,STN10ᔠCFᐵGᦑC.UᫀO1⚓ᐳ16⚓

9ᦑ⌱c.ூ'(௃)⚪*Zὃ-CDEḄCFᐵGᐵ>ᙠQᳮCDEḄ]^F_`ᜧQOCF]^F_aRQOCF.5.Dூᑖ᪆௃᪷BSbcḄdefḼhbcḄibᓄkbᓄḄbclmSbcᓽN.ூ௃SnoᒹqḄofḼrsḄbᓄkbᓄᡠurs=hbcoᒹqḄo=Sbcᦑ⌱D.ூ'(௃)⚪ὃ-.Sbc9vSbcḄᭆx=⚪ᐵ>.6.Cூᑖ᪆௃᪷Byz{|Ḅ}ឋᜧRᑨKᓽ.ூ௃AஹᙢᙳᒴḄḄ'ᦪ=᜻ᦪ=fyzᔠ⚪BஹfI⍗ᑮ=fyzᔠ⚪Cஹ]ICDEᐸᑁD`=180%=ᯠyzᔠ⚪DஹᨵCᩩCᩩ✌¡¢£;¤u¥ᡂICDE=fyzᔠ⚪ᦑ⌱C.ூ'(௃)⚪ὃ-Ḅ=ᯠyzஹ}yzஹfyzḄᭆx.ᯠyzᢣᙠdᩩz¨d{|Ḅyz.}yz=ᢣᙠdᩩz¨d{|Ḅyzdyzᓽfyz=ᢣᙠdᩩz¨}{|©}{|Ḅyz.7.Bூᑖ᪆௃ᵫ⚪᧕NNCDA=NA=3O஺ᯠ᪷BD®ᑖḄdeNNC£>E=60஺¯k᪷B®°Ḅឋ.ூ௃48//8,ZA=30°,aZCDA=ZA=3O°,NCDE=NDEB,□DA®ᑖNCDE,□NCDE=2ZCDA=60°,
NDEB=60°ᦑ⌱B.ூ'(௃)⚪*⌕ὃ-®°Ḅឋ±D®ᑖḄde9²³´®°Ḅឋ±D®ᑖḄde=⚪Ḅᐵ>.UᫀO2⚓ᐳ16⚓

108.Dூᑖ᪆௃ᐜᑭᵨ¸¹dᳮḄº»ᵫ¼ᩚᢚK_¿ḄÀÁ=8c+/8ᓽ.ூ௃ᵫ⚪NBCAC,8C=5,AC=12,ZACB=90°,AB=-JAC2+BC2=Vl22+52=13:.BC+Afi=5+13=18Ê˼ᩚᢚK_¿ḄÀÁ=18Êᦑ⌱D.ூ'(௃)⚪ὃ-.¸¹dᳮḄÌᵨᳮ⚪/}ᮣÎÏᵨ:Ð=⚪Ḅᐵ>.9.Cூᑖ᪆௃᪷BᚖÒ®ᑖḄឋNZO=C஺Ó8C£>Ḅᕜº=8C+CD+8D=BC+4B,»ÕᐭUᫀᓽ.ூ௃•••ÒOE=/CḄᚖÒ®ᑖ4.AD=CD,,:BC=8cm,AB=\2cm,4./\BCDḄᕜº=5C+CQ+8஺=BC+AD+BD=BC+AB=8+12=20(cm),ᦑ⌱C.ூ'(௃)⚪ὃ-.ᚖÒ®ᑖḄឋ}9vᚖÒ®ᑖØḄ'ᑮ^IÙ'ḄÚÛ;Ü=T⚪Ḅᐵ>.10.Dூᑖ᪆௃BC=EE»᪷BᐰÜCDEḄᑨddᳮ⌲IᑨKᓽ.ூ௃2BE=CF,DBE+EC=CF+EC,ᓽBC=EF,A./=஺□5=D£>£F,BC=EF,ᔠᐰÜCDEḄᑨddᳮAAS,}ßNBdDEF,ᦑ)⌱⚗ᔠ⚪B.AB=DE,UB^3DEF,BC=EF,ᔠᐰÜCDEḄᑨddᳮSAS,}ß4ABeDEF,ᦑ)⌱⚗ᔠ⚪UᫀO3⚓ᐳ16⚓

11C.DJCDDF,□[^CB=LF,CB=DEF,BC=EF,QACB=GF,ᔠᐰÜCDEḄᑨddᳮASA,}ß4ABe

DEF,ᦑ)⌱⚗ᔠ⚪D.AC=DF,BC=EF,
BGDEF,ᔠᐰÜCDEḄᑨddᳮ}ßABCDEF,ᦑ)⌱⚗ᔠ⚪ᦑ⌱D.ூ'(௃)⚪ὃ-.ᐰÜCDEḄᑨddᳮ}9vᐰÜCDEḄᑨddᳮ=T⚪Ḅᐵ>ëᐰÜCDEḄᑨddᳮᨵSAS,ASA,AAS,SSS,^ÒDCDEᐰÜìᨵHLÜ.11.Cூᑖ᪆௃'Eïᡠ,.Q'ðᵫ⚪:/£nZflACḄ®ᑖ᪷BD®ᑖḄឋ:ô=ᡠ.õö/Ḅº»ᵫCE=EðᓽNᑮUᫀ.ூ௃'Eï÷ABQ'F,ᵫ⚪:/EnN8ACḄ®ᑖNC=90஺EFA.AB,DCE=EF,□SFBE=20,ᓽüpc=gA"EF=gx10xEF=20QEF=4,CE=EF=4.ᦑ⌱C.ூ௃⚪⌕ὃ-!"#$Ḅ&ᑖ(ஹ$&ᑖ(Ḅឋ+,#-.⚪ᐵ01234Ḅ567ᳮ.$&ᑖ(Ḅឋ+.12.Bூᑖ᪆௃ᐜ᪷=”Ḅ?@ABCᙠEFGHIḄ☢KLᓄNOP2ABQᐵGḄGRᨬTUVWXᑨZᔜ\]6.ூ^.௃.CᙠHI᝞ᡠabᫀd4⚓ᐳ16⚓

12i@HḄjklxcm/s,ᑣAH=xt[an),S^nHAAFr=—2xAFxAH=n,pIq$r☢KsḼIuvᜧx⌲zvᜧ,C஻ᙠ8cHI᝞ᡠa,“P1|Ḅ}~஻P=43,pIq$r☢KEL,C”ᙠCDHI᝞ᡠa“P1HAFḄ}C,D,|qᐳ(S,H“=gxA|xA8,஻C஺?@"P⌲zᦑq$r☢KEZ,Cᙠ஺EHI᝞ᡠabᫀd5⚓ᐳ16⚓

13“P1|Ḅ}?HP=EF,Sw=xAFxEF,pIq$r☢KELCᙠE|I᝞ᡠaFHELA1-----------------------1BHSdlMF=xAFxHFDஹHஹEᔣஹFFG,"F⌲z,ᦑq$r☢KEZO᯿2A04Y5I஻ᙠHS«[F=4xf=4x5x=401ATx—1,A8=2X5=10CM□@஻Ḅjk12cm/s,ᦑ□5Vd8I஻ᙠ8cHpIq$r☢KEL□@஻ᵫ8?@ᑮCᐳᵨI8-5=3s
,BC=2x3=6czw
,ᦑ□12Wb,”ᙠDEHDE-AF—BC=8-6=2^cm^,.@஻ᵫ஺?@ᑮEᐳᵨI2+2=ls
,8=12+1=13,ᦑ┯;bᫀd6⚓ᐳ16⚓

14C|Ḅ☢K1305?I஻ᙠHᡈCDH஻ᙠHIS^=4xt-8t=30c?n2
,IAF.A7=3.75s
,ᙠCDHIS■=*AFxHP=x8xHP=3஺PQR,.A=7.5a஻CH=AB-HP=10-75=25PcmR,C?@ᑮ஻ᐳᵨI2.5+2=L25s
,ᵫ”ᑮCᐳᵨI8s,□pIᐳᵨI8+1.25=9.25s
,ᦑ□.Hᡠ¡┯Ḅᨵ□.ᦑbᫀlB.ூ௃⚪1@£ᦪḄ¥¦⚪.ὃq$rḄ☢K§¨£ᦪ¥Ḅឋ+ᳮ.£ᦪ¥HḄ⊤aḄª«1.¬⚪Ḅᐵ0.13.3aூᑖ᪆௃᪷=ᓫ⚗¨¯°⚗¨Ḅ?X6ᑣ±..+ூ^.௃.a-Pa+3R=a2+3a.ᦑbᫀla2+3a-ூ௃⚪⌕ὃᓫ⚗¨¯°⚗¨Ḅ?X6ᑣᳮ.ᓫ⚗¨¯°⚗¨Ḅ?X6ᑣ1.bᐵ0.14.1ூᑖ᪆௃᪷=²³ᭆ᳛Ḅ±6ᨬ¶·ᶇᙠ¹⁐ḄẈHḄᭆ᳛¼1¹⁐½¾Ḅ☢K¿À☢KḄÁÂ.ூ^.௃.ÃÄÅ\#¹Ẉ5ᙽḄ☢KᓰÀ☢K9ᙽḄᳫᨬ¶·ᶇᙠ¹ẈHḄᭆ᳛1g.ᦑbᫀlJ.ூ௃⚪ὃᭆ᳛Ḅ±6᝞É\ÊËᨵ஻Ìx~ÅÍÊËḄÌឋQbᫀd7⚓ᐳ16⚓

15FᐸÏÊËÐBÑÒÓÉÔÕÊË/Ḅᭆ᳛|/=',23ᭆ᳛Ḅ±61.⚪nḄᐵ0.15.-12ூᑖ᪆௃᪷=Øᐰ&5§¨ÚÛܱ..ூ^.௃.ᵫx-62=x?-12x+36Ax2-12x+36=x2+fcc+36.□*=-12ᦑbᫀl-12.ூ௃⚪⌕ὃØᐰ&5§¨ãä23Øᐰ&5§¨1.⚪Ḅᐵ0.16.|12+0.5xூᑖ᪆௃ᵫ⊤ÏḄᦪ=#-0I|12,N~åvæ1ᓟèḄéêRkvæ0.5cm,ᡠìí0.5x+12.ூ^.௃.᪷=H⊤¿xḄᐵî¨1|I2+0.5X.ᦑbᫀl|12+0.5ðூ௃⚪ὃ£ᦪᐵî¨◤òóᑖ᪆⊤ÏḄᦪ=Ûx.¬¦⚪ᐵ01ᑏB.᪆¨.17.550ூᑖ᪆௃᪷=&Ü(Ḅឋ+ᓽAᑮÓ÷.ூ^.௃.(஺஻6,□□2=O^SC+D1□ZABC=30°N2=30°+25°=55°ᦑbᫀl55°.ூ௃⚪ὃ&Ü(Ḅឋ+ãä23&Ü(Ḅឋ+1.⚪Ḅᐵ0.18.□□□ூᑖ᪆௃ᵫÿḄឋ஺஺=5஺£=02",TUBD=BE,ᵫῪḄឋឋ8Gᚖᑖ஺Eᦑ□!ᵫ“X””□"OCIQBGC,ᦑ!ᵫᐰḄឋ+CG=C£>,TVWBC=CD+BD=CG+BE,ᦑU!ᑖ./0□G=67.5°,□GBE=22.5°,+DG72UG8E,ᦑ┯9.ூ;<௃

16□BM8N=90஺=O4஺8,□□/஺஺=P5=67.5஺J஺8Q=45஺J□□ADC=DBDE=\JBEA,
BD=BE,□”ROEḄSTJBBGᚖᑖ஺E,DDBM=EBM=22.50ᦑ□!9□□/MG=90஺JG+□6=90஺=□G+□C3G,□BM4G=UC8G,ᙠLU4DCVO8GCSJZMAG=ZCBG,AC=BCZACD=ZBCG=90°\J\2ADCQ\JBGC(ASA),ᦑ□!
CG=CD,□AC=BC=CD+BD=CG+BE,ᦑ□□G+C]NG=90஺J□□G=67.5°,□□GB£=22.5°,□BG¥2DG8E,ᦑO┯9!ᦑFᫀW□□□.ூTX௃Y⚪R[ᔠ⚪Jὃ^_ᐰḄᑨaVឋJῪḄឋJᮣcdᵨfgឋ

17=4(2)a3*a4*a+(a?)4+(2a,)2=a5+4/=6/ூTX௃Y⚪ὃ^ᦪḄ~ᔠdqJtḄ~ᔠdqu᦮ᦪᢣᦪtJrᢣᦪtJdqVpq{ᑣR<⚪ᐵk.20.2x+5!-1•ூᑖ᪆௃ᐜᵨᐰJyᔠ⚗ᓽᓄ¡Jᯠ¢x£¤ᐭᓄ¡pqᓽ/<.ூ;<௃¦=x?+2x+l-¨-4)-x2+2x+\-x2+4=2x+5©x=-3«J¦=2x(-3)+5=-lூTX௃Y⚪ὃ^᦮Ḅ~ᔠḄᓄ¡/£J¬ᐰR<⚪Ḅᐵk.21.BC®¯J°±²!°±²Jᑁ┯¯!´µ!¶¤ᣚ!®¯J°±²ூᑖ᪆௃᪷¹²±Ḅᑨa+0EOZ1BC,/03=0஺»᪷¹²±Ḅᑨa+0CDIFGᓽ.ூ;<௃¼1=02□£>£□BC(®¯J°±²)□□2=HDCF(°±²Jᑁ┯¯)□□2=03()QD3=QDCF(¶¤ᣚ)DCDDFG(®¯J°±²)ᦑFᫀW8C!®¯J°±²!°±²Jᑁ┯¯!´µ!¶¤ᣚ!®¯J°±²ூTX௃Y⚪ὃ^_¾²±ḄឋVᑨaḄ¿ᵨJÀᮣcdᵨaᳮ²ÃᳮR<Ä⚪Ḅᐵk.22.পÆFᫀH10⚓Jᐳ16⚓

18(3HḄ£W4ூᑖ᪆௃(1)᪷¹ÇSÆᳫÉᦪᜧËÌᳫÉᦪJÍÄ᥎ᑮÆᳫḄᭆ᳛ᜧ!(2)ᵨÌᳫḄÉᦪ◀ÓᳫḄÉᦪᓽ!(3)᪷¹ᭆ᳛ᑡ0qJ/0xḄ£ᓽ+0Fᫀ.(1)<□ÇSÕᨵ4ÉÌᳫV6ÉÆᳫJ×ÇSØÙ᥎0ÚÉᳫRÆᳫḄᭆ᳛ᜧ!ᦑFᫀWÆᳫ!(2)<□ÇSÕᨵ4ÉÌᳫV6ÉÆᳫJᐳᨵ10ÉᳫJ42×ÇSØÙ᥎0ÚÉᳫRÌᳫḄᭆ᳛R1=(;2ᦑFᫀW—;(3)<ÇSÝᙠᨵÌᳫ(4+x)ÉJÆᳫ(6-x)ÉJ᪷¹⚪Þ+4+x_4-Io--?(<+x=4Fàá_4ÉÆᳫ.ூTX௃Y⚪ὃ^_ᭆ᳛Ḅaâ᝞äÚÉåæᨵ஻çÀJèéfgåæḄÀឋ¯JᐸSåæ/0ÝÙçëäJìíåæ/Ḅᭆ᳛î(/)ᭆ᳛ḄpqRn<⚪Ḅᐵk.23.¼ï<᪆ூᑖ᪆௃ᐜᵫCE=8îÃð0ᓽ᪷¹ᐰḄᑨaaᳮ“S/S'¼/8£஺',y᪷¹ᐰḄ¾¿ó¯ᓽ+.ூ;<௃¼YCE=BFCE+EF=Bf+EF□CF=BEᙠZU8EVôCOîSFᫀH11⚓Jᐳ16⚓

19CF=BE

20ூ?௃A⚪ὃDḄEFGH-ᨬI
J⚪$KELMᨬNOḄJ⚪$PQ⌕ὃ⇋
ḄឋUVᳮ$XᔠᡠZFGH[ᣚᩭ^_$`ᦪbc⌕dᐵ1fg
ḄGH.25.(1)1500,900(2)4,2700(3)ᙠ᦮lmZ⌶o$912ᑖqᑮ914ᑖqsPt.uvwxyᨬz$ᨬzḄxyE450{/ᑖ(4).u}~ᦻᐹ$ḄxyZ᪥$◤⌕7.5ᑖqtூᑖ᪆௃(1)᪷ᦪ!Ḅᙶ᪗$7ᫀ(2)᪷ᦪ!Ḅᙶ᪗$ᑮᦻᐹt$Oᦻᐹt$᪷ᨵᳮᦪḄ$7ᫀ$᪷ᦪ!Ḅᙶ᪗$ḄI$᪷ᨵᳮᦪḄ$7ᫀ(3)᪷ᦪ!Ḅᙶ᪗$I$᪷ᦪ!Ḅᙶ᪗$t$᪷ItḄᐵ$xy(4)᪷Iஹxy$ᓽᑮt.(1)ᵫ⚪¡¢$.u£ᑮZ᪥ḄNOE1500{$1500-600=900({).ᓽᦻᐹᑮZ᪥ḄNOE900{.ᦑ7ᫀ1500900(2)12-8=4(ᑖq).ᦑ.uᙠᦻᐹ¥ᶇ§4ᑖq.1200+(1200-600)+(1500-600)=2700({஺ᦑA¨mZ⌶o$.uPᐳ4©§2700{$ᦑ7ᫀ42700(3)᪷⚪o!$¢912ᑖqª914ᑖqsPtḄ
ᨬ▽$ᡠ.uᙠ912ᑖqª914ᑖqsPtḄvwxyᨬz$...1500—600.__,$ஹ®txy“P,-,-=450({/ᑖ)14—127ᫀ913⚓$ᐳ16⚓

21(4).uḄxy1200-6=200({/ᑖ)$Z᪥◤⌕Ḅt1500+200=7.5(ᑖq).ூ?௃A⚪ὃDᑭᵨᦪḄ!^_±▭J⚪$³´ᳮ^ᦪ!ᙶ᪗⊤#Ḅ¡¶$ᳮ^J⚪Ḅ·$¸¹º»·!ᑮᦪJ⚪Ḅ^_.◤¼¡½¾ᓫḄÀ26.(.a+b)(a—h)a2~b2=(a+b)(a—Z>)(2)0D9996320481ூᑖ᪆௃(1)ᑖÅᵨÆᦪÇ⊤#!1ஹ!2o▢ÉÊᑖḄ☢ᓽ(2)ᑭᵨËÌÍÎÇÏ4½¾ᓽ(3)ÐmÑÇg(3-l)Ó$%ÔᑭᵨËÌÍÎÇÏ4½¾$7ᫀ.(1)!(1)o▢ÉÊᑖḄ☢ÕdÖl³Ì×Ḅ☢Í$ᓽSÙ஺2P஻$!(2)o▢ÉÊᑖE3a+6,Ûa-bḄ3Ì×DÑ®ᐸ☢S*(a+b)(a-b),ᵫ1!1ஹ!2▢ÉÊᑖḄ☢0$(஻+6)(*b),ᦑ7ᫀa2—b2(a+b)(a—ft)a2~b2=(a+b)(a—Z>)(2)□(-Jx-y)(y-9)=(-yx)2-y21,)=1äPy□102x98=(100+2)x(100-2)=9996(3)(3+1)x(32+l)x(34+l)x(38+l)x(316+1)……x(3,024+l)+1=(3-1)(3+1)x(32+l)x(34+l)x(38+l)X(316+1)……x(31024+l)+2+17ᫀ914⚓$ᐳ16⚓

22=(32-l)x(32+1)x(34+1)x(38+l)x(316+1)......x(31024+l)+2+1=(32048-l)+2+1_32048+12ூ?௃A⚪ὃDËÌÍÎÇஹçᐰËÌÎÇḄéêëì$ᵨÆᦪÇ⊤#!1ஹ!2o▢ÉÊᑖḄ☢E³´^7Ḅíî.27.(1)AE=BD-AEBD.(2)XïAE8஺ðᯠᡂó.(3)45஺ூᑖ᪆௃(1)g&ôuõö×ᐰ0(2)ôuCJACEiZODCB(SAS)(3)ᐜôulACECDDDCB(SAS),øᑭᵨùúVᳮû0üÆᣚ$ýþôuÿ8£=90஺.ூ௃(1)AE=BD-AEUBD.(2)ᯠᡂ.8OBCEῪDACD=DBCE=90°,DAC=CD,CE=CB,□CE+QECD=90°,BCD+JECD=90°,\2\JACE=r\BCD,ᙠMCEELDC8AC=DC,DACE=JDCB,CE=CB,□□4CEDCB(SAS),QAE=BD,HEAC=OBDC.NE!8஺"#$!஺஺"#G,ᙠ4CGEIDFGUaEAC=DBDC,aAGC=3DGF,DDDFG=ACG=90°,ᓽAEHBD.(3)&'8஺(ᫀ*15⚓ᐳ16⚓

23t)□CDUBCEῪCD=LBCE=90°,OAC=CD,CE=CB,□□ZCE=MC8+90஺□5CZ>ny4CS+90o,□CUCEEBCD,ᙠ/ICEUOC8AC=DC,QACE=r\DCB,CE=CB,QDACEUDCB(.SAS),QAE=BD□□8CEῪUBCE=90஺,fjaBEC=45°,CE=CB,CE2+CB2=BE2,O2CE2=BE2,OAE2=DE2+2CE2,□B=DE2+BE2□□5EZ>90°BaDEC=JBED-QBEC=45°ூ#-௃.⚪0⌕ὃ3Ḅᐰ678ᳮ:;<=>?Ḅ@AᦪCᐵEᐵF⌕GHIJ<=ᐰḄKLMNOPᐰḄQR.(ᫀ*16⚓ᐳ16⚓