2023年四川省遂宁市中考数学试卷

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2018
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ḄHg᝞Hᡠi,abc>0abc<0A.B.b2-4ac<02a+b>0abc>0abc<0a+b+c<0b2—4ac>010.4.00ᑖ2018•⍒`a᝞Hᙠ-CABCDAD=4,E,Fᑖ|#CD,BC}Ḅ~NEAF=45஺EC=1,4ADE~Ak┐-ᔣ90஺c4ABGᔠxyEF,~BBM஻AG,AFv~M,ᑣ$জ43032DE+BF=EF,ঝBF=,ঞAF=—,টS^MBF="Ḅ#77175

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6

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3310.᦮ᦪᢣᦪᗩ᦮ᦪᢣᦪa-p=lapaWO,pH᦮ᦪ)*জaWOঝ+᦮ᦪᢣᦪ@E⌕᪷c᦮ᦪᢣᦪḄ*u+$-3E2=-3X-2Ḅ┯.ঞWᦪGᑖᦪ@⌕ᑖ2ஹᑖ4᎔ᢣᦪ¢a£Hᢣᦪ.টᙠ¥ᔠ+¦§⌕)*+Ḅ,-.11.`¨ᐗEª>'«1ᵨ"ᐭ`¨ᐗEª>'«ḄEFSTজ>'«⌱E®¯ᦪ°±ᓫḄ>'³´®>'«ḄE®ᦪᵨµ¶E®ᦪḄ"ᦪ⊤¸$ᩭ.ঝ³£ºḄᐵ¯"ᐭ¶E®>'¼½E®ᦪ¾ᑮE®EᐗEª>'.ঞ`´®EᐗEª>'$xᡈyḄ.ট³¾ḄᦪḄ"ᐭ£ºḄᐵ¯$¶E®ᦪḄ.ঠ¾ḄxஹyḄᵨ"{"ὶÅÆᩭ¢G>'«Ḅ`.2ᵨÇÈ`¨ᐗEª>'«ḄEFSTজ>'«ḄÉ®>'᝞1ËE®ᦪḄ¯ᦪÌIÍ^ÎIÏHÍÐᦪ¢ᵨ〉WḄᦪ½>'ḄÉÑrÒE®ᦪḄ¯ᦪÍ^ᡈÏHÍÐᦪ.ঝÉ®>'ḄÉÑᑖÓÍÈᡈÍǼ½E®ᦪ¾ᑮE®EᐗEª>'.ঞ`´®EᐗEª>'¾ᦪḄ.ট³$ḄᦪḄ"ᐭY>'«ḄÔ*E®>'$¶E®ᦪḄ.ঠᡠ¾ḄÉ®ᦪḄᑏᙠEÆ¢¾ᑮY>'«Ḅ`ᵨ{x=ax=bḄº⊤¸.12.᪷ḄᑨÓᑭᵨEᐗ¨ª>'᪷ḄᑨÓÙ=b2-4acᑨÜ>'Ḅ᪷ḄÝÞ.Eᐗ¨ª>'ax2+bx+c=0aWOḄ᪷44?-4acᨵ᝞âᐵ¯জW@>'ᨵÉ®IÍ^ḄÉ®ãᦪ᪷ঝW4=0@>'ᨵÉ®Í^ḄÉ®ãᦪ᪷ঞW@>'äãᦪ᪷.

34å☢Ḅ0çÐ&ᩭèᡂÅ.13.᪷¯ᦪḄᐵ¯(1)騪⚗¯ᦪH1,_ᵨâᐵ¯XIX2G>'x2+px+q=0ḄÉ᪷@Xl+X2=-p,X]X2=q,Ð&ᩭa¾P=-(X1+X2),q=xiX2êὅGì¯ᦪm᪷ḄÍᐵB⚪ὅGìÉ᪷m>'¯ᦪ.(2)騪⚗¯ᦪIH1,ᑣ_ᵨâᐵ¯XIX2GEᐗ¨ª>'ax2+bx+c=0hc,bc(aWO)ḄÉ᪷@X1+X2=-X1X2¨EÐ&ᩭèᡂUᓽE¨-(X1+X2),—=X1X2.Qaaa(3)_ᵨ᪷¯ᦪḄᐵ¯`îâB⚪জI`>'ᑨÜÉ®ᦪGIGEᐗ¨ª>'ḄÉ®᪷.ঝì>'ï>'ḄE®᪷¶E®᪷ïᦪ.ঞI`>'ᐵð᪷Ḅ2Ḅ᝞Xl2+X22^^.টᑨÜÉ᪷Ḅñò.ঠóô>'.ডᵫn$ḄÉ᪷ö÷Ḅᩩgmø4Ḅp.´ùB⚪°±ᔠ`⚪@◀úᑭᵨ᪷¯ᦪḄᐵ¯Ë@û⌕ὃ⇋aWO,Ùþ()
ᩩ.14.ᵫ▭⚪ᑖᵫ▭⚪ᑖḄᐵᑖ᪆⚪ᐵ.(1)ᙠ!ᐵ"#$⌕ᳮ'$()ᵨḄᦪ,ᐵ-$(./01#᝞3⚪4Ḅ⍗⚪-67⚪#ᨬ9⌕Ḅ⍗Ḅ":ஹ67Ḅ":.(2)ᑡᑖ'=ᵨ⚪⌕>?ஹ@AஹB?#CD>E'1?F.15.ᙶ᪗IJKឋM1ஹNᑮᙶ᪗PḄQRI
NḄᙶ᪗ᨵTUḄ#⊤Wᙠ☢YজᑮxPḄQRI[ᙶ᪗ᨵᐵ#ᑮyPḄQRI\ᙶ᪗ᨵᐵ]ঝQR_`aᦪ#bᙶ᪗cdaᦪ#ᙠᵫQRDᙶ᪗"#◤⌕fgាiḄjk.2ஹᨵJK4$(NḄᙶ᪗D☢l"#mnoNᔣᙶ᪗Pqᚖs#ᯠuDᐵḄsvw#'x
y⚪Ḅ./1-z{.3ஹ|ᙶ᪗ᑁḄ~K`zᑣ~K#)ᵨ3ᙶ᪗PḄsᵨ“ᒘஹ

35⊡"1'x⚪.16.ᦪḄឋMᦪḄឋM1
ᦪy=kxkWO
ḄJs]2
ik>0,sḄᑖU$ஹ▲#ᙠ$▲ᑁyxḄᜧb]3
ikVO,sḄᑖUஹ~▲#ᙠ$▲ᑁyxḄᜧbᜧ.YᦪḄJIᙶ᪗Pᨵ¡N.17.ᦪJgNḄᙶ᪗ᱯ£ᦪy=k/xk¤)ᦪ#kWO
ḄJs#জJgḄNx,y
Ḅ\[ᙶ᪗Ḅl!¥k,ᓽxy=k]ঝsᐵ§N¨©Ḅ#ᑖgḄNªᐵ§N¨©]ঞᙠy=k/xJ4¬$N#m
$NᔣxP-yPᑖUqᚖs#Iᙶ᪗P®ᡂḄ°KḄ☢l!¥|k|.18.ᦪI$±ᦪḄ¡N⚪ᦪI$±ᦪḄ¡N⚪1
DᦪI$±ᦪḄ¡Nᙶ᪗#²ᦪᐵὶ´ᡂµD'#|µᨵ'ᑣὅᨵ¡N#µ·'#ᑣὅ·¡N.2
ᑨ¹ºᦪ»=1<ᙽ-ᦪy=ᙠ¾$¿Àᙶ᪗4Ḅ¡NᦪXcÁ¤YজiÃIk2¾k"#ºᦪy=kix-ᦪÄᙠ¾$¿Àᙶ᪗4xᨵ2¡N]ঝikiIkzÅk"#ºᦪy=kix-ᦪy=$ᙠ¾$¿Àᙶ᪗4Xᨵ0¡N.

3619.±ᦪḄឋMb4ac—b2±ᦪy=ax2+bx+c(aWO)Ḅ⚔Nᙶ᪗(---#-------),¨©P¿sx=2a4ab--ߟ,±ᦪy=ax?+bx+c(aWO)ḄJᐹᨵ᝞×ឋMYজia>0"#Úᱥsy=ax?+bx+c(a#O)ḄÝÞᔣg#x<-2"#yxḄ2abb4ac—b2ᜧb]x>-à"#yxḄᜧbᜧ]x=-à"#yáᨬ¥$;$#2a2a4aᓽ⚔NÚᱥsḄᨬãN.ঝiaVO"#Úᱥsy=ax?+bx+c(aWO)ḄÝÞᔣ×#xV-2"#yxḄ2abb4ac—b2ᜧbᜧ]x>-à"#yxḄᜧb]x=-à"#yáᨬᜧ¥---,2a2a4aᓽ⚔NÚᱥsḄᨬåN.ঞÚᱥsy=ax2+bx+c(aWO)ḄJcᵫÚᱥsy=ax?ḄJᔣæᡈᔣè(æ)b4ac—ê|-à1ᓫ#îᔣgᡈᔣ×ê—$1ᓫáᑮḄ.2a4a20.±ᦪJIᦪḄᐵ±ᦪy=ax2+bx+c(aWO)জ±⚗ᦪax!ÚᱥsḄÝÞᔣ-ᜧ.ia>0"#ÚᱥsᔣgÝÞ]iaVO"#Úᱥsᔣ×ÝÞ]laiòcdx!ÝÞᜧ#laióᜧÝÞôó.ঝ$±⚗ᦪb-±⚗ᦪaᐳ¾x!¨©PḄö.iaIb¾k"(ᓽab>0),¨©PᙠyPè]iaIbÅk"(ᓽabVO),¨©PᙠyPæ.(÷©Yè¾æÅ)ঞ.)ᦪ⚗cx!ÚᱥsIyP¡N.ÚᱥsIyP¡(0,c).টÚᱥsIxP¡Nᦪ.ù=b2-4ac>0"#ÚᱥsIxPᨵ2¡N]ù=b2-4ac=0"#ÚᱥsIxPᨵ1¡N]ù=b2-4acV0"#ÚᱥsIxPᨵ¡N.21.±ᦪJgNḄᙶ᪗ᱯ£b4ac—b2±ᦪy=ax2+bx+c(a#0)ḄJÚᱥs#⚔Nᙶ᪗(——#-------).2a4a

37জÚᱥsᐵ¨©Px=-3ᡂP¨©#ᡠdÚᱥsgḄNᐵ¨©P¨©#û_üýᦪᦪᐵ.⚔NÚᱥsḄᨬåNᡈᨬãN.ঝÚᱥsIyP¡NḄ[ᙶ᪗ᦪ'᪆4Ḅc¥.ঞÚᱥsIXPḄ¡Nᐵ¨©P¨©#þ¡NᑖUXi#0ÿ,X2,0
,ᑣᐸx=9.22.ᦪᔠ⚪1ᦪᐸᦪᔠ⚪⚪ᐜ᪷!"Ḅᦪᡈᦪᑨ&'(ᦪḄ)*ᯠ,ᑨ&-Ḅᦪᐵ(/0(ᦪḄ)*1᪷(ᦪḄ23ᐵ(ᑨ&'ᱯ5ᑣ)ᔠᡠᨵᱯ5Ḅᓽ9:⌱⚗.2
ᦪ=>ஹ@ABCḄᔠDᵨFᦪBC=>ஹ@ABCᨵGᙢᔠᙠJK.LM⚪JNOPQᜧ.L⚪ᐵSTᗐVFᦪ⚪Wᓄ=>⚪ᗐVᑭᵨ@AZḄᨵᐵឋ\ஹ"ᳮ^ᦪḄBC_`a᢬᣾⚪d0ḄJe◚gᩩi.3
ᦪᙠj▭lm0ḄDᵨ⚪nj▭⚪0ᑖ᪆qrstḄᐵ(uvᦪwx.ᐵSᙠVyzஹᑖ᪆ஹ{uuv|}ᙶ᪗(Ḅᦪᯠ,ᦪZᔠ⚪◤⌕ᡃ`aḄTqrᦪḄ⌕j▭⚪ᨵa.23.ᐰ}ZḄᑨ"1ᑨ""ᳮ1SSS--ᩩᑖDḄ}Zᐰ.2
ᑨ""ᳮ2SAS--ᐸᜳ}ᑖDḄ}Zᐰ.3
ᑨ""ᳮ3ASA--}ᐸᜳᑖDḄ}Zᐰ.4
ᑨ""ᳮ4AAS--}ᐸ0J}ḄDḄ}Zᐰ.5
ᑨ""ᳮ5HL--|}DḄ|}}Zᐰ.=ᢣᐰ}ZḄ5ᑨ"=0⌱ᵨJ=V⚪d0ḄBᩩiBDᑣḄᜳ}ᡈ¡¢B}Dᑣ£¤1J¥D¦⌕T}ḄᜳBJJ}ᑣ§J

38¥}ᡈL}Ḅ§J¥D©.24.ᐰ}ZḄᑨ"ឋ\(1)ᐰ}ZḄᑨ"Tᔠᐰ}ZḄឋ\®¯°^}Ḅ±⌕²ᐹ.ᙠᑨ"}ZᐰᐵST⌱´ា¶Ḅᑨ"ᩩi.(2)ᙠDᵨᐰ}ZḄᑨ"⌕`a}ZtḄ¸ᐳ^¸ᐳ}£⌕º»〉¶½¾¯᪀⌼}Z.25.ÁÂ"ᳮ(1)ÁÂ"ᳮᙠÃAJ|}}Z0ᩩ|}ÄḄÅ=s^J"VÄḄÅ=.᝞Ç|}}ZḄᩩ|}ÄᑖTa,b,Äc,ÌÍa2+b2=c2.(2)ÁÂ"ᳮDᵨḄÐÑᩩiTᙠ|}}Z0.(3)ÁÂ"ᳮ¸/a?+b2=c2ḄqZᨵa=Jc2-b2,b=Jc2JÂc=Jq2+?.(4)ᵫVa2+b2=c2>a2,ᡠÙc>a,Úᳮc>b,ᓽ|}}ZḄᜧVÛ|}}Z0ḄÜJᩩ|}.26.ÝZᑁ}᜜}(1)ÝZᑁ}^"ᳮ(n-2)-180(n23)¦n᦮ᦪ)¸/äåḄæç=TnnZḄJ⚔é'ê'(n-3)ᩩ}¯FnZᑖᒘ(n-2)}ZL(n-2)}ZḄᡠᨵᑁ}s^9ìTnZḄᑁ}^.◀=s^îᨵᐸ@=ïLe=ḄæçðñTJ᪵Ḅ.ᓽFÝZWᓄ}ZLóTẆõÝZ⚪öᵨḄ=.(2)ÝZḄ᜜}^V360P.জÝZḄ᜜}^ᢣÜ⚔éᜐJ᜜}ᑣnZn᜜}úûᦪT@ᐸ᜜}^üý360஺.ঝ
ᑁ⊡ᭆᐳ᜜=180ஹ-(n-2)•180°=360°.

3927.#$%&'Ḅឋ*+1,#$%&'Ḅᭆᨵ./0&ᑖ2#$Ḅ%&'34#$%&'.+2
#$%&'Ḅឋ*জ&#$%&'Ḅ0&67.ঝ#$%&'Ḅ067.ঞ0:#$%&'Ḅ0:;6#ᑖ.+3
#$:<Ḅ=>ᜐᜐ67.+4
#$%&'Ḅ☢Aজ#$%&'Ḅ☢A7BCḄDEFDGḄHḄA.ঝD+7D,H+7H,Ḅ#$%&'☢A67.28.I'ḄᑨKজI'KLM/&67Ḅ#$%&'NI'+#$%&'+M/&67=I',Pঝ%ᩩ&R67Ḅ%&'NI'.STUVVAB=BC=CD=DA.\%&'ABCDNI'Pঞ0:;6ᚖXḄ#$%&'NI'+ᡈ"0:;6ᚖX#ᑖḄ%&'NI'”,.STUV•••AC_LBD,%&'ABCDN#$%&'.•.#$%&'ABCDNI'29.\'Ḅឋ*+1,\'ḄKLᨵMFNXḄ#$%&'N\'.+2
\'Ḅឋ*জ#$%&'Ḅឋ*\'RᐹᨵPঝ\'Ḅ%FRNXPঞ&&ᚖXP

40ট0:\'Ḅ0:67Pঠ\'N`0ab'cdNef0ab'.Cᨵ2ᩩ0a`cᑖ2Ng/0&ehi:ᡠᙠḄX:P0aefN.ᩩ0:Ḅlh.(3)ᵫ\'Ḅឋ*cnoᑮXq'ḄMFr⌕ឋ*cXq't&GḄe:7Bt&ḄMu.30.vw'Ḅឋ*(1)vw'ḄKLᨵM/&67xyᨵMFNXḄ#$%&'34vw'.(2)vw'Ḅឋ*জvw'Ḅ%ᩩ&R67c%FRNXPঝvw'Ḅ.ᩩ0:67c;6ᚖX#ᑖcxygᩩ0:#ᑖM/0Pঞvw'ᐹᨵ%&'ஹ#$%&'ஹ\'ஹI'ḄMᑗឋ*.ট.ᩩ0:{vw'ᑖᡂ%Fᐰ7Ḅ7ῪXq'ccvw'dN`0ab'cᨵ%ᩩ0a`.31.*#☢ᔣ#☢ᔣ.32.ᚖKᳮ(1)ᚖKᳮᚖXBḄX#ᑖEᩩcxy#ᑖᡠ0Ḅ.ᩩ.(2)ᚖKᳮḄ1#ᑖ(NX)ḄXᚖXBcxy#ᑖᡠ0Ḅ.ᩩ.2ḄᚖX#ᑖ:ᙊfcxy#ᑖᡠ0Ḅ.ᩩ.3#ᑖᡠ0MᩩḄXcᚖX#ᑖcxy#ᑖᡠ0ḄMᩩ.33.ᙊᕜKᳮ

411ᙊᕜḄKL⚔hᙠᙊGcxy.&Rᙊ6lḄ34ᙊᕜ.ᙊᕜ.Fᩩজ⚔hᙠᙊG.ঝḄ.ᩩ&Rᙊ6lcὅMn.+2ᙊᕜKᳮᙠᙊᡈ7ᙊecᡈ7ᡠ0Ḅᙊᕜ67cR7BEᩩᡠ0ḄᙊfḄMu.uᙊ+ᡈX,ᡠ0ḄᙊᕜNXc90஺Ḅᙊᕜᡠ0ḄNX.+3ᙠᙊḄᨵᐵ⚪c◤⌕¡¢
:c᪀ᡂXᡠ0ḄᙊᕜcE¤¥¦ᢈ¨ᢈ©MK⌕ª«.+4জᙊᕜᙊfḄ¬ᓄn®¯ᙊḄu᪀⌼7Ὺq'.ᑭᵨ7Ὺq'Ḅ⚔hDḄᐵ³´$¬ᓄ.ঝᙊᕜᙊᕜḄ¬ᓄnᑭᵨᐸ"᫑᫡”——ᙊf¬ᓄ.ঞKᳮᡂ¹ḄᩩN“Mᩩᡠ0Ḅ".¤cᙠ»ᵨKᳮ⌕¼ᶍ¾EFᩩc¿ᡠ0Ḅᙊᕜᙊf┯ÁᡂMᩩᡠ0Ḅᙊᕜᙊf.34.ᑗ:Ḅឋ*+1,ᑗ:Ḅឋ*জᙊḄᑗ:ᚖXBᑗhḄu.ঝᙊfyᚖXBᑗ:ḄX:ᑗh.ঞᑗhyᚖXBᑗ:ḄX:ᙊf.+2ᑗ:Ḅឋ*nÂ᝞᝞ÄMᩩX:ÅᔠᑡqFᩩeḄÈ.FcÉÊCMKËqFᩩcEqFᩩNজX:ᙊfPঝX:ᑗhPঞX:ᙊḄᑗ:ᚖX.3ᑗ:ឋ*Ḅ»ᵨᵫKᳮnÌcÍÎᙊḄᑗ:ciᑗhḄuc᪀⌼KᳮbcoᚖXᐵ³.ÏЯÑᑗhciucÑᚖX.35.ᙊ┵ḄÓÔ1,iÕᙊ┵⚔hD☢ᙊᕜGÈMhḄ:Ö34ᙊ┵Ḅ×:.iÕ⚔hD☢ᙊfḄ:Ö3ᙊ┵ḄH.

42+2
ᙊ┵ḄØ☢ÙÚbÛMᡧ'cEFᡧ'ḄÝ7Bᙊ┵D☢ḄᕜÝcᡧ'Ḅu7Bᙊ┵Ḅ×:Ý.1+3
ᙊ┵ḄØ☢AS=-«2nr*l=nrl.ffl+4
ᙊ┵Ḅᐰ☢A:Sᐰ=5D+S=nr2+nrlw1+5
ᙊ┵ḄßA=,XD☢Adbজᙊ┵Ḅ×:ÙÚàᡠoᡧ'Ḅu67.ঝᙊ┵ḄD☢ᕜÝÙÚàᡠoᡧ'ḄÝ67.36.`0ab'+1
`0ab'Ḅᭆ᝞ÄMFb'áMᩩX:ᢚãcX:.äḄåᑖ¨æ;6rᔠcEFb'34`0ab'cEᩩX:340a`cEcᡃèénêEFb'ᐵBEᩩX:+ᡂ`,0a.+2
`0ab'N┐0MFb'ìVḄcNM¤ᐹᨵᱯîឋ*b'cïMᩩX:ᑖᒘᡂḄ.åᑖáḼ0a`ᢚãc;6rᔠP`0ab'Ḅ0a`nNMᩩcénNòᩩóôõᦪᩩ.3
ÑḄ`0ab'7Ὺq'c\'cvw'c7Ὺ÷'cᙊ77.37.`0a-ᨬùú:⚪1ஹᨬùú:⚪ᙠX:LGḄØᨵ.FhAஹB,ᙠX:LGᨵᑮAஹBḄ=>ûᨬùḄhüᙠcn®`0aᩭþKcᓽ
ᐸᐵLḄḄLḄᡠ⌕Ḅ.R1

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