2022年安徽省江南十校高考数学一模试卷（文科）（附答案详解）

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2022
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16ூF᪆௃(1)᪷M⚪OᦪMPQ⊤ᓽS(2)᪷M⚪OᡠUḄᦪMWXYZ[\FᓽS(3)᪷M⚪OᡠUḄXY^ᔠᡠUḄ%ᦪᐵ,Z[\Fᑨ`ᓽS.a⚪ὃcឋὃcefḄghijklO᫏⚪.20.ூoᫀ௃Fq(1)ᵫs:=uvᯖxy(1,0)zPAḄOx}~ᱥCqy2=ᐵlxᡠ=P41xᡠ=Ḅx=1,ᐭy2=4xy=±2,ᡠ=PQ-2)ᡈP(l,2)(2)xPQoyo)(y஺=0)>4஺1%)[0)ᵫ=!"জjIq%=my+1"~ᱥCqy2=4%ὶ44=0,ᡠ=4=16(m2+1)>0,yy=-4ঝo1ᵫজঝSa=4x8஺2ஹ2)ᵫ)=஻¦஻=YঞPBqx=ny+a"~ᱥCqy2=4%ὶy?—471y—4a=0,ᡠ=◤⌕®¯4=16(n24-a)>0,yy=—4aট02ᵫঞটS஻=²}2=4/1,ᡠ==4x%44a9Fa-4,µᓃ/=16(n2+a)=16(n2+4)>0,ᡠ=aḄ·4.ூF᪆௃(1)᪷M~ᱥḄឋS=ᑨ`PAlxZF¸oᫀ(2)¸xḄᙶ᪗W24,PBḄºᐭ~ᱥ»ᓄ½Z᪷M¾☢ᔣÁḄᐵ,Â᪷",ᦪḄᐵ,ᑮÄ஻ÁḄᐵ,.a⚪ὃcÅ"~ᱥḄ-ÆḄÇᔠÈ⚪ÉὃcÅᓄÊËklO᫏⚪.

1721.ூoᫀ௃Fqপ/(x)=a=aM+()xT=(x+1ÍT),ÏÐÑ(0,+8),জÒa<஺ᑣ/'(*)<0,f(x)ᙠ(0,+8)ØÙ%ᦪঝÒa>0,uᳮSf(x)ᙠ(03)ᓫÜ⌴Ù(,+8)ᓫÜ⌴Þ(2)ßa<0,ᵫ(1)v/(x)ᙠ(0,+8)ØÙ%ᦪ9/(I)=a-1<0,ßà->0+/(%)—+8,ᡠ=/(%)ᙠÏÐÑ(0,+8)ØáâãxᓽQ<0äᔠ⚪åßQ>09à->0+/(%)T+8,ßàT+8/(%)T+8,ᡠ=⌕æf(%)ᙠÏÐÑ(0,+8)Øáâãxçè/()=1+(a—l)ln(+a—2=(a—1)(1—Ina)=0,ᡠ=Q=1ᡈQ=e,ÇØᡠêa=1ᡈQ=e,ᡈQWO,ᓽQ€(-OO,0]U{1,e}.ூF᪆௃(1)\ï/'(x)="ð#2஺>0),ᑖa40"a>0)ñòóS/(x)ḄᓫÜឋ(2)ᑖa<0"a>0)ñòóô⚪å/(x)áᨵâãxS\aḄö·÷.a⚪ὃcᑭᵨïᦪ\ᓫÜឋWãxâᦪὃcᑖñòóÊËW᪀⌼%ᦪûὃcᓄ½᦮ᳮḄghijklý⚪.22.ூoᫀ௃Fq(1)•••p=\sin9\+|cos0|,2Ap=\psinO\+\pcos6\f(p2=x2+y2,•(%=pcosd,(y=psind•CḄᙶ᪗/+y2=||+|஺/0).%(2)!x>0,y>0$%CḄ&'(▲ᑁḄᙶ᪗+x2+y2=x+y,,%(-'.+ব'..$&18⚓$ᐳ20⚓

18yᑣCᙠ&'(▲ᑁḄ45ᵫ'781Ḅ9Ὺ;5<'7=>?Ḅ=2ᙊAᡂ$᧕D$Cᙠ&'(▲ᑁḄEᡂḄ45☢G++24ᵫHIឋKD$CEᡂḄ45Ḅ☢G2+7T.ூM᪆௃(1)᪷QRDᩩT$Uᔠ᩽ᙶ᪗XY$ᓽK[M.(2)ᐜ]^_&'(▲45Ḅ☢G$`UᔠHIឋ$[_᦮745Ḅ☢G.b⚪d⌕ὃg᩽ᙶ᪗Ḅhᵨ$ὃgᦪ5UᔠḄkl$mno᫏⚪.23.ூqᫀ௃M+(1)!a=2$ᑣ|2x+2|+|2x-)24,!s<'1$9Yᓄ'4x-124,M%xW-S,4!'$9Yᓄ324,ᡂv$!xNw$9Yᓄ4x+124,M%x2xyᡠ{$9Y/"(X)+g(x)>4ḄM|x|x<-+ᡈx2(2),,~ᙠeR,%f(%0)<4-gQo+a),\2x+a|<4-|2x+2a-1|ᡂv$00•(|2x+Q+\2X+2a—l|)i<4,0QmnᵫH9YKD$|2&+a|+12x()+2Q-1|N12%o+Q—2x()—2a+1|=|—Q+1|,ᓽ|"1|<4,ᦑaḄE(—3,5).ூM᪆௃(1)!a=2$ᑣ|2x+2|+|2x-1|>4,`ᑖ$[ᐸ|$ᓽK[M.(2)᪷QRDᩩT$UᔠH9YXY$ᓽK[M.

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