河北省沧州市2021-2022学年中考数学模拟试卷（二模）含解析版

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Ḅbc)a-3a-2a-2a-3A.a-2B.a+2C.--------D.--------a-3a—210.᝞-,AB5஺஺Ḅ0CD5,ZBCD=50°,ᑣNABDḄMᦪ5)11.᝞-0ᙠ[ABCD0AB=4,BC=3,[ᙠS1qᐸBZḄ⚔Bᔣ90஺-জᙢ0BZḄ⚔¡¢ᔣ90஺-ঝᙢ0…0¥¦§¨0©᪵«¢20150⚔Aᙠ᦮®ᡠḄ¯®;:5A8জঝঞA.20157cB.3019.5nC.3018KD.3024TT12.ᕜ±0²³´P1.6µḄ$¶ஹ$·ᩭᑮº»¼½0⚜ᜓᵨ᝛ÁᡠḄÂÃEᓭᛞḄ³M.᝞-0$¶ÆᙠAᜐÃÈ᝛Éᛞ⚔ḄÊZaP45஺0$·ÆᙠBᜐAஹBËᛞḄÌÍᐳSÃÈ᝛Éᛞ⚔ḄÊZbP30஺.᝛ÁÏÃ~AஹBmḄÐÑP30µ.ᎷÓ᝛ÁḄÔÕÑᜮ⚔´P10cm,ᑣ×DE~ᛞ³ØPbcᑮ0.01,ÙὃᦪÚÛ=1.414,Ü=1.732
.A.36.21µB.37.71µC.40.98µD.42.48µ13.᝞-0AABCḄI⚔ᙳᙠÞq0ᑣcosAḄßPy2⚓/|24⚓ A.B,@C.D.à353514.᝞-0P5á[ABCDWqâ0uNA=60஺0AB=4,PKA~ã0¥äå1ᓫLḄçMèAéBéCéDḄ¯Sêâ0ëPêâᑮDìíêâ0îï4APDḄ☢SËPêâḄðñt;<ḄòᦪᐵôḄ-õ5D.0*~4~S-12~7ஹö÷⚪ùᜧ⚪ᐳ5$⚪0ä$⚪3ᑖ0ᐳ15ᑖ15.úûᜧ$ü11.⌱ö"V"ᡈ"="216.ὃᵬ12Ḅᙳᑖᦪ70ᑖ8Ḅᙳᑖᦪ80ᑖ20Ḅᙳᑖ_____.17.᝞ᙠMCAB=AC,4=36஺A8ḄᚖᑖNC!£,ᚖ$!஺%&BE,ᑣZEBCḄ(ᦪ)3⚓/,24⚓ D-----------*C18.᝞ᙠ/0102ᨩ45ᑖ6787:;/01ᡠ᪀ᡂḄᫀ@A02ᑁCDḄE:;/0178FGᑮḄIᫀᡂE:JKL1Ḅ7MᨵO.19.QR:᝞TUVWᦪy=aix2+bix+ci`a#0,bi,56dᦪefa2X?+b2x+C23k,b2,C26dᦪl$ai+a2=0,b,=b,C1+C2=O,ᑣL:Wᦪn“pqWᦪ”.ᑏty=-x¥3x2-2WᦪḄ“pqWᦪ”____.ஹ⚪⚪ᐳ6⚪ᐳ63ᑖ20.wxy`3-⚓°-`-1"+V12X4sin600.21.ᖪ⚜ᜓEᢇ⁚ឋ;ᵯᓫ40ᐗ.⚜Q52ᐗt180:Q1ᐗ10:Q1ᐗ10:.¡Ḅ4¢ᢇV£:ᦪ¤G¥¦180:ᖪ§A⚜ᜓ¨ᑭ2000ᐗᑣª£«:¬Q«ᐗ¬22.®ᐜ°±²³´᪥/¶·¸ஹºMஹ»¼ஹ½ᘤ¿:±᜜ᐶᕡ;Ḅᕒᑖij´ÅÆ᪵ÈÉÊ᪷ÌÍÎḄᦪÌ·ᑴÐ☢Ò¤ÓÔḄÕwÖ᪷Ì×ØḄÙÚ®ÛÐ☢ḄᡂÜy.ᦪ30•………………"à…à…áâ1r…ᘤ>`1äVᐳÈÉ«æçè¬`2Aᩩ1⊡ᐙÓÔÊwxᡧ1ÕwºM5ᑖḄᙊîïḄ(ᦪ`3᝞Tð᪥ᐳᨵ1000æᐜ°¶4:±᜜ᐶᕡ;ñ:ᦟóᨬ«õö÷øùḄ20æᐜ°úw:ᐶᕡ;û◤ý⚜ᜓ«æᦟó¬)4⚓/,24⚓ 23.᝞!BஹCஹDᙠ஺0CAC஻BDOBA,CD,ZCDB=ZOBD=30°,DB=6A/3cm.(1)#$%AC&஺஺Ḅᑗ)(2)#ᵫ,CDஹBD./BCᡠ1ᡂḄᨩ45ᑖḄ☢8.(9:;ᶇᐔ)24.᝞@1,AX3CCDῪFGHGINNCB=90஺L&4CMḄNOP(L./ஹCRSᔠ)UCFCNMᙠDῪFGHGI᜜XYIC/)ERBEAD.(1)]@1^_8LஹḄᦪbᐵdeᡠᙠFḄᙢgᐵdFᑏi9j)(2)k@1^ḄXYIODERlḼCᢥop┐YᔣstuvGwa,yᑮ᝞@2Ḅ{I.@2^8|4c“ADO,~ᑨ(1)^yᑮḄ9jᔲᯠᡂ$Ḅᑨ.(3)k⚪^ḄDῪFGHGI48CᦋCFGHGI8C,ZACB=90°,XYICDEFᦋC4CDEF,᝞@3,4c=4,8c=3,CD=—,CF=,BF4cஹH,/஺஺3BDஹAF,#»+/Ḅ.25.᝞@ᙠ☢FGᙶ᪗d^ᱥA(0,4),B(1,0),C(5,0),ᐸ.XM.(1)#ᱥḄ᪆¡;£5⚓/¥24⚓ 2ᙠᱥḄᔲ¦ᙠNP,§4PABḄᕜ©ᨬ«¬¦ᙠ~#iPḄᙶ᪗)R¦ᙠ~▊ᳮᵫ)°3AC,ᙠFAC±YḄᱥᔲ¦ᙠNN,§ANACḄ☢8¬¦ᙠ~#iNḄᙶ᪗)R¦ᙠ~▊ᳮᵫ.ூ³⚗ᡭẚ௃¸ᓅḕ»¼½2021-2022¿À^ὃᦪ¿ÂÃÄᔁ°ÆÂÇ°ᔁ᱐ÇNஹ⌱N⌱1.ᙠᦪ-2,--,1,3^ᜧ«ᙠ-1¡0ËÌḄᦪ&°Ç21A.-2B.——C.1D.32ூÍᫀ௃Bூ᪆௃ூÏ௃᝞@1——~*~~*-•----•d----------->'-3-2-1012345ᵫ@ÐÑᜧ«ᙠ-1¡0ËÌḄᦪ&-12ᦑ⌱B.2.ᵨÔ¿ÕᦪÖ⊤ØḄᦪ3.61X10LÙḄᦪ&°)A.36100000000B.3610000000C.361000000D.36100000ூÍᫀ௃Cூ᪆௃ூᑖ᪆௃Ô¿ÕᦪÖḄ᪗ÚYCax10"l<|a]<10,nC᦮ᦪ).Ü⚪ÝᦪÞ“3.6”108^3.61Ḅ«ᦪᔣßàP8gáÐUyᑮ.ூÏ௃:3.61x1os=3.61X100000000=361000000,ᦑ⌱Cூã௃Ü⚪ὃäåÔ¿ÕᦪÖᵨÔ¿ÕᦪÖ⊤ØḄᦪæᡂᦪpn>0pn&ç«ᦪáᔣèéçg.£6⚓/¥24⚓ 3.±ᑡëìXíḄ&°)A.஺2+î="4B.஺2.“3=”6C.°-a2Ç2=a4D.(a+1)2=a2+lூÍᫀ௃Cூ᪆௃ூÏ௃%Aஹ᪷Þðñ⚗eᔠðñ⚗ÐÑa?+aó2a2,┯õ)Bஹ᪷Þðöᦪ£Ḅ÷ÖöᦪRøᢣᦪúûÐÑa24=a5,┯õ;Cஹ᪷ÞüḄ÷YöᦪRøᢣᦪú÷ÐÑ°-a2Ç2=a3Xí)Dஹ᪷ÞýᐰYÿᱯa+12=a2+2a+l,┯ᦑ⌱C.ூᫀ௃Aூ᪆௃ூᑖ᪆௃ᑮ!"☢$ᡠ&ᑮḄ()ᓽᶇ,-ᑗḄ$ᑮḄ/01⊤᝞456(7.ூ8௃9:;<Ḅ56(ᨵ2>U@ᑡB"C)ᦪEᑖFG2,1.ᦑ⌱A.ூH௃I⚪ὃLMᓫOᔠ<ḄQ6(.ᙠS(T-U⌕Wᱥ<ḄYZஹ/ஹ⚔0⊤]^ᩭ,$&`Ḅabc0Sᡂec$f`ḄSᡂgcfhiᣵ.I⚪S:;<ḄQ6(T1ᶇ,B"C)ḄᦪEkᙢm.5.oBO7mqrḄ7ὃ?ᡠḄ@?ABCDA.20157rB.3019.5ᐔC.3018nD.3024TIூGᫀ௃DJ10⚓/M24⚓ ூN᪆௃ூᑖ᪆௃ᑖ᪆✌ᐜSTU(VḄ@ḄWXYU4:Z[ᑮ^_ᯠ;abᓽd.907rx4ூeN௃N(VAḄ@W——=27180XSSTT(VJl:Ḅ@W,1802(VJn:Ḅ@Wo—=p1802(VJq:Ḅ@W0,907rx4(Vr:AḄ@W-------=2s1803456Uq:Z[5t3vᦑ⚔A(Vq:Ḅ@Ww2v+——+—=6TT,2015+4=503y3.22⚔A(Vq:Ḅ@Ww6nx504=3024”~ᦑ⌱:D.ூ௃5Ḅ^_⚪XY^_ᜐᳮᡂḄᐵᦑᙠN⚪1:SGᫀ.GᫀᐸḄZ[^_.12.ᕜw1.6Ḅஹᩭᑮ⚜ᜓᵨ᝛ᡠ¡Ḅ¢£bᓭᛞḄ¦.᝞§ᙠAᜐ£T᝛¨ᛞ⚔Ḅ©aw45஺§ᙠBᜐCAஹB¬ᛞḄ®ᐳD£T᝛¨ᛞ⚔Ḅ©bw30஺.᝛±£AஹB²Ḅ³´w30.Ꮇ¶᝛Ḅ·´ᜮ⚔w10cm,ᑣdabᛞ¼wC½¾ᑮ0.01,¿ὃᦪÂÃ=1.414,Ã=1.732DCD.C.40.98D.42.48ூGᫀ௃DூN᪆௃x—1.6+0.1ூeN௃ᑖ᪆ᵫ¶ᛞwXᑣᵫdTᑮ᝞$ᐵÈ,---------------=tan30",x-1.6+0.1+30J11⚓/M24⚓ ËSᛞ.NGN§ᙠAᜐ£T᝛¨ᛞ⚔Ḅ©aw45஺§ᙠBᜐCAஹB¬ᛞḄ®ᐳD£T᝛¨ᛞ⚔Ḅ©Bw30-AஹB²Ḅ³´w30.Ꮇ¶᝛Ḅ·´ᜮ⚔w10cm,ᡠ3¶ᛞwxᑣT=tan30°=Ìx—1.6+0.1+303NTx=42.48,ᦑ⌱D.13.᝞AABCḄn=⚔ᙳᙠÎᑣcosAḄÏwCDAGBÐC20D3535ூGᫀ௃DூN᪆௃ூeN௃>BÑBD_LAC,᝞ᵫÒÓÔᳮTAB=712+32-710-AD=V22+22=2^2>ABVW5ᦑ⌱D.14.᝞PÕABCDÖ×VØNA=60஺AB=4,PAX3UÙ1=ᓫ-WḄÛ¦ÜAÝBfCÝDḄ@ÞVßPÞVᑮDàÞVáâ4APDḄ☢äS¬PÞVḄåætAçḄèᦪᐵÈḄéCDJ12⚓/M24⚓ BD.ூGᫀ௃BூN᪆௃ூeN௃ê⚪ᑖ᪆᪷Â/AḄ¦ᦪSÕḄ.ᑖPᙠABᙠBCBᙠCDnìíîᑭᵨnḄ☢äðᑡðSòóḄèᦪᐵÈðᯠ;⌱ôGᫀᓽd.NVZA=60°,AB=4,.••ÕḄ=4xn2öPᙠAB4APDḄ☢äS=]x4x÷=ø(0a2>b2,C2+ÄᦪÅÊai+a2=0,bfci+c2=0,ᑣ±pq¦ᦪÌ[“ÎÏᦪᑏ%y=-x¥3x-2ᦪḄ“ÎÏᦪ”.ூ?ᫀ௃y=x2+3x+2ூ(᪆௃ூV(௃Vy=-x2+3x-2,.ai=-1,bi=3,ci=-2,Òy=-x?+3x-2ᦪḄ“ÎÏᦪ"[y=a2X?+b2x+c2ಘÕazbz,C2+ÄᦪÅ,.*.ai+a2=0,bi=b2»ci+c2=0>ᓽ-l+a2=0,3=b2--2+C2=0,(az=l,b2=3,0=2,Ay=-x2+3x-2ᦪḄ“ÎÏᦪ”[y=x2+3x+2,C15⚓/F24⚓ ᦑ?ᫀ[y=x2+3x+2.ூ]௃⚪ὃ.¼ᦪÆ®¹ºᡂ(⚪Ḅᐵ-+ᢕÛÌ[“ÎÏᦪ''Ḅ¹ºᑭᵨᦪᔜß⚗*à☢Ḅâᦪᜐᳮᡂ.ஹ⚪(⚪ᐳ6⚪ᐳ63ᑖ)20.J(3-ã)(--)"+712X4sin60°.3ூ?ᫀ௃16ூ(᪆௃ூV(௃ᑖ᪆ᑭᵨæᢣᦪèḄឋéêë᦮ᦪᢣᦪᕆḄឋஹ.¼᪷*Ḅឋᓄïð$%?ᫀ.⚪(᪆ñ*=1-(-3)+2^/3X4X2^12=4+12=16.21.óᖪõ⚜ᜓ•¬ᢇú⁚ឋ5üᵯᓫÿ40ᐗ.⚜52ᐗ1801ᐗ101ᐗ10.!Ḅ#$ᢇ&'(ᦪ*+,-180ᖪ/01⚜ᜓ3ᑭ2000ᐗᑣ6'(787ᐗ8ூ:ᫀ௃=ᖪ>60ᐗ'(100.ூ@᪆௃ூB@௃ᑭᵨᑭD=-'᪷H⚪JᩩLMᑡᑭDOxḄᐵRSTᓽ.@VWᖪ>ḄXxᐗᵫ⚪Z+(X-40)[180-10(X-52)]=2000,᦮ᳮ+110x+3000=0,@+X|=50,X=60.2gx=50'(180-10(50-52)=200h180*iᔠ⚪ZklVgx=60.'(180-10(60-52)=100m180iᔠ⚪Z.:Vg=ᖪ>60ᐗ'(100.22.n@ᐜpqrstu᪥wxyzஹ|}ஹ~ஹᘤq᜜ᐶᕡḄᕒᑖst'᪵᪷HḄᦪHyᑴn☢*Ḅ᪷HJ¡Ḅ¢£@:☢Ḅᡂ¥V¦16⚓/©24⚓ ªᦪ(2)1ᩩ«⊡ᐙ®ᡧ«J|}°ᑖḄᙊ²³Ḅ´ᦪ;᝞·=᪥ᐳᨵ1000ºᐜpx4q᜜ᐶᕡ»ᦟ½ᨬ7¿ÀÁªḄ20ºᐜpÃᐶᕡÄ◤T⚜ᜓ7ºᦟ½8ூ:ᫀ௃Æ1Ç200(2)36(3)yz◤ÁÂᦟ½23ƺÇ|}◤ÁÂᦟ½5ƺÇ~◤ÁÂᦟ½8ƺÇᘤ◤ÁÂᦟ½15ƺÇÈ@᪆ÉூB@௃@VÆ190+45%•200………2ᑖJÊËÌḄ101²ᵨÌ:----X5WT=366ᑖ200Æ3yz◤ÁÂᦟ½1000x45%+20-2Z5R23ƺÇ.....7ᑖ|}◤ÁÂᦟ½10X
M10%+205ƺÇ............8ᑖ~◤ÁÂᦟ½1000x15%+207.5r8ƺÇ......9ᑖ¦17⚓/©24⚓ ᘤ◤ÁÂᦟ½1000x30%+2015(º).........1஺ᑖ23.᝞ÏBஹCஹDËᙠ஺O-ÏCÑAC஻BDÓOBÔÕÖ×ÏA,ØÙCD,ÚZCDB=ZOBD=30°,06=673cm.(1)TÛVACX஺0ḄᑗÖV(2)TᵫÝCDஹBDOÞBCᡠàᡂḄᨩ#°ᑖḄ☢â.(ã·äᶇᐔ)ூ@᪆௃ூᑖ᪆௃ØÙBC,OD,OC,WOCOBDÓ×ÏM.(1)TNCOBḄ´ᦪT/AḄ´ᦪ᪷H糫Ḅᑁ³éᳮTNOCAḄ´ᦪ᪷HᑗÖḄᑨëᓽ(2)ÛìACDMºíOBM,î»+ᑮS#=SBOC.1aூB@௃᝞ØÙBC,OD,OC,WOCOBDÓ×ÏM.(1)᪷Hᙊᕜ³ᳮ+VZCOB=2ZCDB=2x30°=60°,VAC/7BD,/.ZA=ZOBD=30°,/.ZOCA=180°-30°-60°=90°,ᓽOC1AC,VOCñò.ACX00ḄᑗÖ(2)ᵫ(1)óAC஺OḄᑗÖ/.OC±AC.VAC//BD,AOCIBD.ᵫᚖòᳮóMD=MB=yBD=373.ᙠRtZOBMJMB3õZCOB=60°,OB=cos30°=ᔲ=6.2¦18⚓/©24⚓ ᙠACDMOíOBMJZCDM=ZOBM=30°?"("9@/ஹCBCᔠ)8ECF2=;ᙠ3Ὺ5676+᜜IJK+COM,LMBFஹAD.(1)NO01P&Q8/ஹḄᦪTᐵVWᡠᙠ5&ḄᙢZᐵV85Mᑏ]^)(2)_01PḄJK+஺EF,bḼ"Cᢥef┐Kᔣijkl6ma,oᑮ᝞02Ḅq+.02P8rs4Ct"us4஺t"O,vwᑨx(1)PoᑮḄ]^yᔲ{ᯠᡂ~8wḄᑨx.(3)_⚪PḄ3Ὺ5676+/8Cᦋ25676+Z8C,Z/1CB=9O°,JK+CDEFᦋ24CDEF,᝞03,/C=4,BC=3,CD=-,CF=,BFACஹH,s/஺t"O,LM3BDஹAF,502+4Ḅ.12319⚓/24⚓ ூᫀ௃(1)BF=Z஺8BF_LAD%(2)BF=AD,898/஺{ᯠᡂ~8ᳮᵫ᪆)(3)=.ூ᪆௃ூᑖ᪆௃(1)ᵫS4s1o
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FC஺P8ZFCZ)=90°,CD=-,CF=,3425$.DP=CD2+C^=(-)2+12=—,,,e=e,25250$.BD2+AP=AB2+DF2=25+==——.99ூ"µ௃¶:=·¸¹⚪8º0+»ᑮ¼½f8¼½0+PḄ⚪K¾¹0+PḄ⚪K80+PḄ¿À]^ᙠ¼½0+PÁÂᙠ.ÃὃÄÅ3Ὺ5676+«5676+ḄឋÇ8¢£(ᳮ8+@JK+ḄឋÇ8ᐰ376+Ḅᑨ(@ឋÇ8¾É76+Ḅᑨ(@ឋÇ3ÊË,ᐹᨵ=(ḄÎᔠឋ.25.᝞08ᙠÏ☢56ᙶ᪗VP8Òᱥ&"A(0,4),B(1,0),C(5,0),ᐸÕÖ×@x×st"M.(1)ÙÒᱥ&Ḅ᪆Ú«ÕÖ×)(2)ᙠÙÒᱥ&ḄÕÖ×