2023年湖南省永州市中考数学试卷

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2018
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13
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4-------------=——.x-ixz-2x+i-3m-ூὃ௃6C!ᑖ`Ḅaᔠc8.ூ-⚪௃11:78⚪.ூᑖ᪆௃᪷2ᑖ`Ḅef*◀f:5<=H⚪.1ூ<=௃

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=IOg2X+log2yÇᑮIog216=log22+log22+log22+log22,ᯠ᪷2Iog22=lþÿ
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`“-ᦻᓄ”Ḅ/3ᦪ740-12-8-10-6=4,ᓽd⊡ᐰᩩCD4
hᨬ;<“-ᦻᓄ”Ḅ4/3ᑖi7ᵬjklm᪛]deᨬ;<"-ᦻᓄ"Ḅ/3ᵬQ⌱Ḅᭆ᳛.ூn%௃nXD1
12Ḅ/345ᦪ71230%=40D5oC2
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24(3)᝞T2,VA(1,4),B(3,0),᧕3ABḄ/᪆¡$y=-2x+6,N(m,-m2+2m+3),ᑣQ(m,-2m+6),(0WmW3),NQ=(-m2+2m+3)-(-2m+6)=-m2+4m-3,AD஻NH,%NDAB=NNQM,VZADB=ZQMN=90°,.,.QMN^AADB,.QNABMN-BD'.-m2+4m-32A/5••—,MN2V5ஹ.ÝMN=------(m-2)2+—,55V5——<0,5••´m=2¶%MNᨵᨬᜧ¾hN¯NG%yeG,VZGPN=ZABD,ZNGP=ZADB=90°,.,.NGP^AADB,.PGBD21,*NG~AD~4~211?PG=_NG=-m,2213.*.OP=OG-PG=-m2+2m+3—m=-m2m+3,22113.e•SPON=_0P•GN=-(-m2+-m+3)•m,A2221´m=2¶%SAPON=-X2(-4+3+3)=2.2

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339জaWO^ঝ`O᦮ᦪᢣᦪa"b⌕᪷&O᦮ᦪᢣᦪaḄc`defg-32=-3X-2Ḅ┯k.ঞmnᦪoᑖᦪ"p⌕qᑖEஹᑖGr᎔OᢣᦪtuvK\ᢣᦪ.টᙠᔠHyz⌕Ḅ.12.ᑡ|ᦪᑖ1bc9q6⚪H}ᦪ~ᨵᐵḄᵨᨵᦪஹGAḄE⊤fᩭtoᑡ|ᦪ.2ᑡ|ᦪ*9জc.ঝᑖᦪ~ᐵ.ঞ.টᑏ.ঠ\/|ᣚ.|ᦪḄ\ᑏ9fg◀AḄ"᎛ᵨᑖᦪ|.13.ᐗ3NḄ#ᵨஹᑡᐗ3N▭6⚪Ḅ¢£91¤⚪9¥f6⚪HḄ¦§ᩩ©ª§~5«¬®Ḅᐵ.2¯ᐗ9¥f⚪HḄ°±ᐵ²Ḅª§~³ᵨG⊤fᩭ.3ᑡ3N9᢬᣾⚪(HḄᐵ¥f°±¶~ᐵᑡf3N.4¸.5º»¼½9º»ᡠ¸oᔲᔠ▭c³¼½.ஹ¯ᐗḄ3-9ÀÁ¯ᐗ}®Á¯ᐗ.m6⚪ÂÃᩖ"ᨵ"¯}⌕¸Ḅª§~ÅᐵḄÆÇ~Kª§ᦪᓽK®Á¯ᐗ.ÉÊË᪵¯ᐗ¯Í±ª§ᦪt⌕ᑡͱ3N.14.ᙠᦪÎÏ⊤жḄÑᵨᦪÎ⊤жḄÑ"⌕"°b"9obÓ*ᙠᦪÎÏp᪗fÕ*Ó*ᓽu.bÖÓ*"⌕*o×ØoÙ×ÚÖÓ*ÛÑK×*ÐÛÑᓽKÙ×*^ob3ᔣb3ᔣḄÕᑣo9"ÞÛᔣßᜧÛᔣá”.

34ூ.3-௃жÑḄ»ã3-äж¸åḄÑKx>a,ᐸ»ã3-uçᐜèa|ᐭÕжᑣ°ÖŶᐸᙠx>aḄêᑁì±ᦪ|ᐭÕжᑣÕжᡂí.15.ᐗж1ᐗжḄÑ9ͱᐗжḄÑḄIᐳïᑖðñᵫ«¬ᡠᡂḄжḄÑ.2
ж9¸Ð¶ḄÑḄMNðж.3
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ᵫ0#ᦪ?@Ḅᱯm:noᡠU⌕qrasᦪrBasC

35f᪵i0KLEPḄ?@uvw.3
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&#ᦪ=2*2a#0
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,ᯠUCW2[ᙢ⌱xjP#ᦪᑡ⊤.ঝBCHᙠx☢ᙶ᪗7BP⊤ḄᔜC.ঞKLHᵨxyḄzLᢥKᔜC.টᙠEᱥLḄC¢£¤BPḄ?@¥¢vw¦Cr§¨¥ᜧ,ᦑa«ᙠ⚔CḄYᔜ®¯°CᓽT.KLᡂ?@⌕ᢥ}/ᑮᜧ±ᡈ}ᜧᑮ/³ḄᵨxyḄzLK´ᩭ.EᱥLy=ax2a#0
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Ḅ?@»¼ᵫ&#ᦪy=ax?Ḅ?@ᔣ½ᡈᔣ¾xh4QC—ᓃ2À|Â|°ᓫĸᔣÅᡈᔣÆxÀ^a°ᓫÄÈᑮḄ.2a4a19.&#ᦪÉᔠ⚪1
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36}▭4⚪ᑖ᪆ûüḄᐵ7ýþ&#ᦪÿ.ᐵᙠஹᑖ᪆ஹᙶ᪗Ḅᦪᯠᦪᔠ!"#⚪◤⌕ᡃ()*Ḅ+,-./ᦪḄ013⌕45▭#⚪ᨵ*8.20.9⚔ஹ;⊡=1>9⚔?ᨵ@ABᐳ⚔DEF@AḄGHᑖI+J@AḄGHḄKᔣMNOᐹᨵQRSTᐵḄGAUV9⚔.=2
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38(2)ᳮ?@A~᝞ï@HèḄeO]QᩩHḄ@ÛðñQA~+òQᩩHVÚHḄ~.âᳮ@ᵨᩭᑨ~.26.óôᳮ(1)óôᳮ?ᙠö÷@A~eGᩩHNḄ¼_@]ÚHNḄ.᝞ï~ḄGᩩHNᑖI+a,b,ÚHNVc,ðña2+b2=c2.(2)óôᳮᵨḄklᩩµ+ᙠ~e.(3)óôᳮBÿa2+b2=c2Ḅᨵa=Jc2-b2,b=M3
஺=ᔣ.(4)ᵫa2+b2=c2>a2,ᡠc>a,ᳮc>b,ᓽḄᜧḄᩩ.27.#$%Ḅᑨ'(ឋ*#$%Ḅᑨ'(ឋ*Ḅ+ᵨ#$%-./01-./01-23/#ᑖ56Ḅᑨ'17ᡃ9:;2Ḅ#$ஹ2=/0ஹ/0Ḅ>⌕@A1B⌕:;C2#$DC2=/0ஹC/01Eὃ⇋H⌕:Ḅ2ஹ2=ஹஹᑖIJK%Ḅ-ᡈ-ḄMJN1OP:;%7#$%QᑮNSTḄ.Uᵨ'V1WEᑨ'XKY7#$%1Z7[ᵨḄ@A1\⌕]^#$%Ḅ'V1ᨵ_ᵨ'Vᑨ'`ᵨᐸbᑨ''ᳮcdᓫ.f7Eᵨ#$%gh:;Ḅi⚪1\⌕klᑮᵨᐰ0:;1.nUᵨ#$%Ḅឋ*Dᑨ'opqi⚪.28.%rᔠ⚪%rᔠ⚪.29.ᚖu'ᳮ(1)ᚖu'ᳮ

39ᚖxḄu#ᑖZᩩx1yz#ᑖxᡠ-ḄCᩩ{.2
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ᙊᕜ'ᳮᙠᙊᡈ0ᙊ1{ᡈ0{ᡠ-Ḅᙊᕜ/010Zᩩ{ᡠ-ḄᙊḄ.|}ᙊ~ᡈuᡠ-Ḅᙊᕜ7190஺Ḅᙊᕜᡠ-Ḅx7u.~3
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ᙠ.ᵨᑨ''ᳮ_জᑗ2CKᩩaஹPuḄ᜜ÀÁbஹᚖZᩩu1ᔲᑣÄ\7ᙊḄᑗ2.ঝᑗ2Ḅᑨ''ᳮÅ▭N7Ç"ᙊᑮ2ḄÈÉ0u_12Dᙊ/ᑗ"ZKÊ}nËÌᩭḄ.

40ঞᙠᑨ'ᩩ2ÎᙊḄᑗ2_1½ÏgᩩÐ;ÑᢣÌ2Dᙊ7ᔲᨵÓᐳ_1[Pᙊ+2Ḅᚖ2=1:;2=ḄÕ0u1EdᓫḄÖᡂ"×1+ᚖ2=1:u”Á½Ïgᩩ;ÑᢣÌ2(ᙊᨵÓᐳ_1[ÙnPÓᐳḄu1:;uᚖZᩩ21EdᓫᙢÖᡂ"ᨵ1+u1:ᚖ32.{ÕḄÛÜ(1)ᙊᕜÕÓÝ:C=2nR(2){ÕÓÝ1=({ÕÎI,ᙊßᦪÎn,ᙊḄuÎR)জᙠ{ÕḄÛÜÓÝ1n7⊤â1஺ḄᙊḄãᦪ1nD180\⌕äᓫM.ঝBᙊḄᓫM\ᐰ7ß1ᑣ◤⌕ᐜᓄÎßækÛÜ{Õ.ঞ⚪çÐ᪗;éÑßḄ1EH{Õᵨᐔ⊤â.টìÑíᑖ{ஹ{Ḅßᦪஹ{ÕKᭆï1ßᦪ/0Ḅ{1{Õ\'/01{Õ/0Ḅ{\'70{1ðᨵᙠᙊᡈ0ᙊ1ñᨵ0{Ḅᭆï1ñ7ὅḄò.33.ó⚪('ᳮ1ஹᑨôõöḄ÷ø1ó⚪.ùúó⚪7ᵫ⚪çDÊ}Cûᑖüᡂ1⚪ç7Ïgõ⚗1Ê}7ᵫÏgõ⚗|ÌḄõ⚗1Kó⚪Eᑏᡂ“᝞
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441
Tᦪ#°±ᦪ`ᢥ᯿W>ᑮᜧᡈWᜧᑮ>Ḅ᣸ᑡ᝞µᦪ`Ḅᦪ5᜻ᦪ,ᑣᜐOT¥Ḅᦪº5±ᦪ`ḄTᦪ.᝞µ±ᦪ`Ḅᦪ5ᏔᦪᑣOᦪ`Ḅᙳᦪº5±ᦪ`ḄTᦪ.2
Tᦪ½⊤¾±ᦪ`¿ᜧ>Ḅ“V”᧕Â᩽Ä¿ÅÆÇÈᐙᑖᑭᵨᡠᨵᦪ`ḄËÌ.3
TᦪÍ©ᦪ`Ḅ᣸ᑡT¥ᨵᐵÎᦪ`ḄÏÐ(TᦪÑᨵÅÆTᦪFÈLÒᙠᡠÓᦪ`ÔFÈᙠᡠÓḄᦪ`LÒt±ᦪ`ḄÕᦪ`ÖÐᜧ×FᵨTᦪØÙᐸÛÜ.43.Ýᦪ1±ᦪ`LÒÞᦪᨬḄᦪ`àáÝᦪ.2
â±ᦪ`ḄÝᦪḄãä#åL⚣ᦪᨬḄçᦪ`èéᦪ`⚣ᦪ5ᨬêMë×Ýᦪº5ᦪ`.3
Ýᦪ᧕Âᦪ`᩽Ä¿ḄÅÆ.ÝᦪÔ5ᦪ`Ḅì½⊤ᦪí᧜¾±ᦪ`ḄïðhÝᦪF["ØÙ±ᦪ`ïÛÜḄA..44.ᑡ⊤ä©᪛òä1tóôõᙠᐗ÷êLÒḄᡠᨵFÈḄøµ×ᡃúᵨᑡ⊤ḄãjᑡLᡠᨵFÈḄøµeâLᭆ᳛.2
ᑡ⊤ḄýḄᙠþÿᙢᑡᡠᨵḄn,⌱ᔠAᡈBḄᦪm,ᭆ᳛.3
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*ᨵP+ᐗ23$ᵨ᪛ᑡ$QRᑡ⊤ᑡ.

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ᵨ⚣᳛VWᭆ᳛{ᑮḄ&xyz$}[\FᦪḄ~0$zlᩭl.3
*[\Ḅᡠᨵ5&ᨵ▲+ᡈ+ᦪ0$ᡈᔜ(]^Ḅឋ53$'=9W⚣᳛ᩭVWᭆ᳛.