2023年新高考数学选填压轴题好题汇编（二）（解析版）

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2023
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]X3ஹ6=242oí+î_(ðoὡᑣ☢7cLO10vO7J4OOOᑁ«ᳫ¥¦Ḅ¶,Vò+ê=9V2+W~cos-'4—[27ᐔ.OOᦑ*ᫀ,-9ஹḆ+-^-cos-l-i----7'1ô'ᐔ.ooo43.2022•0ᓅõö•67÷øὃÇúTU7}┵Ḅᔜ⚔üᙠ§oᳫ☢býþᳫḄ⊤☢¶,36ᐔᑣþ7}┵¶Ḅᨬᜧ
.ூᫀ௃ூ᪆௃/=4ᑍ32=36ᐗᡠ┵᜜ᳫR=3,┵᝞ᡠ᜜ᳫᙊ!O,"POᔣ$☢&ᚖ(ᚖ)஺,OD=a,0

3144.2022•Gᓅ•IJKL3M410NMONPQR᝞S"ᙶ᪗VWOXYZᚖ[Ḅ\ᩩ[(4C^BD_ᙊ72+^2-42+2y-20=0Z`aA,C,B,DbWcdABḄ0WᨵfᑡhiEজd4஺klḄᨬm
nঝ(pBOklḄᨬᜧ
10—qEঞWAfḄst-uvᙊEটbxyABCD☢zḄC
|[204,45].ᐸ0ᡠᨵ~hiḄ.ூᫀ௃জঞটூ᪆௃ᵫ⚪,-2]+e+1y=25,ᑣᙊ!
2,—1,r=5,ᵫᙊḄឋEAᙊ!_[(A஺ᨬᜧᡊBACklḄᨬm,B\AC\=2xV25-5=45,জ~nBOklᨬᜧᑣᙊ!_BXDᐳ(Xᙠ0B|BO|=r+V5=5+ঝ┯nM,H,G,Fᑖ-AB,BC,CD,ADḄ0WᑣMF஻HG//BDX=|"G|=ᘤkMHIIFGIIACSL\MH\=\FG\=^^,1AC_LBD,᧕EMHGF<¸®,\FH\2=\MF\'2+\MH\2=^6|ᙊ!
2,—1ᑮ[(AC,BDḄ&&€[0,75]X+=5,ᡠ+∸+¢+£=2X25=5஺,ᑣ¤N¥=45,ᦑᓽ|=3§444ᡠMᙠ|§”|=[HF,MG`Wᙊ!Ḅᙊª,ঞ~nᵫªᑖ᪆E|AC|=2j25—ᵫ,\BD\=2^/25-^,ftS=^\AC\\BD\,AI3cnᡠS=2/625—25
dn+«R+=2/50
+
1&¬,ABCD5t==5—ᵫ€[0,5],ᑣSCD=275004-5t-t2=AB2¯+°,A£=±ᓽ4=d?=²[B,S/18CDRmax=45nAt=0ᡈ5,ᓽ4=0&=/ᡈ4=³&=0B,S'BC®min=20%nᡠSgRe[20´,45],ট~nᦑᫀEজঞট45.2022•Gᓅ•IJKL3µ¶0NMONὃᒾ¹ºᦪ/ಘ=4elnz-½m=+3¾ᙠ4v¿WᑣvLdllvlzÀᦪmḄC
|-.ூᫀ௃,0,12,᪆௃Áᓄ,ÃR=4elnx------i-----------*-mx=0ᨵbv2ᓽ4elnx--------3------Fmx=0ᙠজ>0|ᑁᨵbvᓽ4-f'nL----------஺---F7n=0ᙠrr>0|ᑁᨵbv,xx-elna;ᓽ——i-------4ᒹÅ=mᙠ1>0|ᑁᨵbvᓽ----1--------4'I஺/=772ᙠÆ>0|ᑁᨵbv1_eln஺xxÇᔁL12⚓ᐳ61⚓

325gQ)=ᗗᑣgQ)=஺Íx-5"3)=09c=e,ᡠAOVcVeBg'[x)>0,Aa>eBg'[x)<0,ᡠ9(2)=ᒹÚᙠ(0,e)ᓫÜ⌴=ᙠ(e,+8)ᓫÜ⌴?,ᡠgQ)gx=g(e)=l,àg(x)ᜧáâ᝞f:52g(0=ᚪᑣVMåÁᓄ-r^~r-4t=m(t<1),1—c5í(஺=î\-4t,h")=(l_q5"(t)=09t=4AtV1B,h'(t)VO,A,0,ᡠh(t)ᙠ(-8,ó)⌴?ᙠ(-y,1)⌴=àh(x)ᜧáâ᝞fEᡠTne(0,1)B÷ø\vt
ù÷øbvh
ᦑᫀEme(0,1).46.(2022•Gᓅ•IJKL3Mû0NMONPü)ýþÿᝍᙠᐸ℉ᙊ┵ᙊ^=l(a>6>0)!"P(᝞%)Ḅᑗ()*++-=1.0124ABeᑁ45ᙊE7+3=l(a>b>0),;ᙶ᪗>"஺*@ABCḄDEFA,B,஺ᑖHᙊEḄᑗFᑗᑖHIJ5"஺FE,KFᑣMN=.ூPᫀ௃4ூT᪆௃0A(VU)ஹB(g,Z)ஹC(g,[)FᑣABBC,ACḄ"G(]^F_N)ஹ`abFcd)ஹ/(©+23-+i)ᵫ஺*nABCḄDE,ᑣkoa=kocஹk()u=k஺*ஹk஺i=k()B>yi+y-2_m+n_%%+3!qߟsᡠu.”--ஹT"--ஹ—!|-F}~-3!Xy>-x-y,~xy-hFJz]IJb'2a^3JJ2)3Uz]1Jb'2322tᵫ⚪FA3,஺ᑗᑖH*+=1ஹ+-=1ஹ+=1,arbarb'a~bᡠu0(6(!)b2(g_/))º(»¼3-¤)஻(L!©,)K!)"(஽F!জ)\2%-ᑘn'%-ᵯ)F\0%-Ui'!T½J'\▬%!2g3'▢-জ2ᗓ!+d+¡^,=0,¢ᳮ¤+6”+¥g!ᕻ:0,ᓽJ^DEF2n!**¨!Ḅ᝘3n2ᵯ92!¡2জ1q!প3y2জ2y3

33DEd*O,«+¬=1*ᙶ=1+9¯!¯=1,}®orb-a-b-a'b-Xo-X]/3+°±=62g²!³=/´+ᵯ±=i!=/ম+yJ*/F'—ᵯµ%+±/q'g-ᵯb2Bx+x-2Db2Xi■:i----a2By9i+yDa%J2/ಘ!ᒘ±´º±xU±=*—¢ᳮ}®k°Eᡠu¶°=!a'By>-y^=koBஹkoF=k°A,ᡠuDO,CஹE,O,BஹK,O,AᐳFq¼FC,B,ᑖH½EF,DF,DEḄ¦"Fᑣ+ᔳ=4'nABC2247.2022•ÀᓅÂ□ÄÅÆ▤ÈÉʱË2ÌÍ!*=la>0,b>0
ḄÎÏᯖ"ᑖH*ÑஹÒFRᙊO:x2+Ó=azḄᑗ/ᑗᙊ஺5"BÔÕÌḄÏ_J5"஺F0|BC|=|C£|,ᑣÌḄÖE᳛*.ூPᫀ௃!ூT᪆௃Ø*ÙC|=|ᓽ|/஺ᧁ!|CÜ=2a,ᡠu|BE|=2a,Ý\OB\=a,\OF^=c,9.c2=a2+4a2=54,ᓽe=9=V5.aᦑPᫀ*ß.;ஹ<7⚪48.2022ÀᓅÅÆàMὃâ±Ë2ãᱥ஺᮱=22æ஺>0±ḄçFÕèḄJ"*H,ãᱥ஺Ḅᯖ"*R,"HḄéÕãᱥ஺J54ᒘ,%±,3´%±ê"Fᵪì=4\AF\Fᑣ&•=_____________VÃABḄX1"ᑮçIḄïÖ*ðFᑣP=.ூPᫀ௃164ூT᪆௃ᵫ⚪}2H´!0±,é4?ῃ=᝞!òFóᐭãᱥ()}®,y2-2Pty+p?=0,ᑣn=p2,Ø*|BF|=4|ì,ᡠu=4FÝ5=õ,=ö,9Ä299g2P_yfvi_P..----=——=1
,XtX=16*2!ᓱ!T/yy_2Pp8i=&F஺2=2p,Ý6Ḅ"ᑮçZḄïÖ*øF.ᵯ+⁐,P_25Ḅ,,_25—2-----*-V=úFᓽ*+g+0=~2~,5+2p+p=ûFᓽp=4.üᔁþ12⚓ᐳ61⚓

34ᦑᫀ16;449.(2022•ᓅ•▤)(2a+V4a2+1)(b+V62+1)=1,ᑣ2a+b+,b'~4a'==^ḄᨬᜧV4a+1—V6-+1"___________d&'a+b=ூᫀ௃-20b2—4*(t>2—4Q2)(A/4Q2+1+A//+1)ூ(᪆௃2a+b+=2Q+b+-7—7===-----/.ஹ/,c------7.......VJ4a+1—A/l)~4~1(V4a~4-1—Vfe24-1)(5/4a~4-1+b-+1)(b*—4a2)(V4a2+1+Vl)2H-1)2a+b+4a2-62=2a+b—(Via2H-1+Yb஺+1)=(2tz—J4a+1)+(b—Jb?+1)(2a+V4d2-h1+b++1)ஹv2a+V4a2H-1b+J/+1)1_1./0.<2a4-Via24-1b+'9+1ᓽ(2a+*4Q2+1)?=1,b+^/^TT=]'34ᡂ6.(2Q+V4.a~+1)(b+Vfc'+1)=1ᵫV4a~+1>V4a2=2|a|>2a,ᑣ2a+V4a2+1>0,ᡠ92a+N4a2+1=1,(:a=()ᵫb+Jb?+1=1,;:6=0ᦑa+b=0ᦑᫀ<2;050.(2022•ᓅ•ᖪ▤)᝞?@஺4ᔣ@4432,@44CDᐰ3Ḅ3ῪGHHI(OB,=V2,J(i=l,2,3)ᜐGH⚔M)/0,4,4,4NMᐳO.PM^QQᑖSDT45,482,433UḄVM(ᒹXYM)ᑣZ•ᳮ=,OB-OPḄ\"^.22ூᫀ௃6[10,ফூ(᪆௃᝞?9O`M904ᡠᙠḄGObcd6e☢GHᙶ᪗iᑣ0(0,0),4(2,0),4(4,0),4(6,0),Bi(U),5(3,1),B(5,l),3GO48Ḅjky=—y+2,lᔧ(n,2—%)/[1,2],GOABḄjko=—%+4,ls(᝞4—t)/xW[3,4],222GOACḄjkg=-]+6,lu(v3,6—g)/⁐£[5,6],ᡠ9yz=(1,1),OP,i=(13,6<2)OB\*OP=x4-6-x=6,A39i0*2=(3,1),OP)=(±2,4-a??),ᡠ9OB2Og=3g+4—Z2=4+2c2W[10,12],ᦑᫀ6;[10,12].