2022年河南省名校联盟高考数学二模试卷（文科）（附答案详解）

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2022
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1620.ூᫀ௃7!(1)qᱥ஺!/=2Bu9>0)Ḅᯖ&y(0,z{(y=`zᵫqᱥḄX}9Q1+|,7Qp=l,ᡠ.qᱥḄ(/=2y,F(0,i)6()ᵫ(1)9Qy(0,4(%21),B(x,y),22᧕Qᙠ᳛(k,Ḅ(y=kx+T7qᱥḄ/=2yὶ,,9Q`(21i)+y+[=08=4k4+4k2>0ឤᡂyi+u2=242+1,\AB\=%+%+P=2fc2+2,&஺ᑮ[Ḅ=>(dBᑘ=ᡠ.Si=!|4B|d1=1x2(1+1)x=iVF+1,᧕QQᑮIḄ=>(d2,d2=g¦NN2Vfcz+lᡠ.S2=1\AB\d=1x2(1+1).§¨=1(fc2+2)VF+1,2ᑗJ__2______________2_2(d+1)_ªS]S-VP+1(/C2+2)VP+1—(fc2+2)VP+l-k2+2'2________2m_22_1m=«2+ini,ᡈ`=-+i=®¯—2Q=1,qm±²³±TH=´ᓽm=l¶·QN¸ᡠ.¹`¹Ḅᨬᜧ¼(Lூ7᪆௃(I)AQqᱥḄᯖ&[{¾ᵨqᱥḄX}9QPḄ79QP¿ÀQᑮqᱥḄ[ᯖ&F;(11)/Ḅ(?=/«+&qᱥḄὶ¾ᵨᯖ&ÄÅÆÇ[&ᑮḄ=>ÆÇஹ¯É2Ḅ☢OÆÇ9QSBAQQḄᙶ᪗[QᑮḄ=>.d☢OS2,ZᵫᣚᐗP[ÎNÇ9QᡠAᨬᜧ¼.⚪ὃqᱥḄX}ஹ[ឋ\.d[qᱥḄÏÐᐵÒὃÓÔ[ᓄÕ¾Ö×3ஹØᳮ×3g%L᫏⚪.21.ூᫀ௃7!(/)/'(%)=஺+1)☜`a,Üᦪ/(%)ᨵßa᩽¼&Ná%f'(x)ᨵßaâ&Ná%Üᦪy=aÜᦪR(ã=(%+

171)☜ᨵßaÎä$&./(%)=஺+2)e"9Qç=2¶Üᦪ?è·Q᩽é¼ᓽᨬé¼,?(2)=3e2,•a>3e2,•ìᦪQḄ·¼î(3*+8).(஻)!Üᦪg(%)=¸`In(ó4-2)=-a-ln(x+2),±Q=0¶g(x)=e*—ln(x+2),xE(—2,0),g'Q)=e-+ᙠXe(-2,0)õᓫ÷⌴ù'úû`ü0e(—2,0),ýQ/஺=¯Ç&H-1),&᩽.ᐔ0ᓝ4ᵫ=xo=InQo+2).ᐔ0ᓝ/•••Vxe(-2,0),g(x)>gOo)=ex°-ln(x+2)0=-----1-x()=-----FXo+2—2>2/----(XQ+2)—2=2—2=0,X+2UXo+2UyJXo+2ஹu'01■VxG(—2,0),g(x)>0.ூ2᪆௃(/)/'(%)=(X+l)ex-a,6ᦪ/(x)ᨵ9:᩽;<=>/'(%)ᨵ9:?;<=>6ᦪy=aB6ᦪC(%)=(x+l)eஹᨵ9:DEF.ᑭᵨIᦪẆK6ᦪh(x)ḄᓫOឋ᩽ᓽRSᦪaḄTV.(஻)6ᦪg(x)=—ln(x+2)=☜-a-ln(x+2),Ya=0Z;g(x)=ex-ln(x+2),%G(-2,0),ᑭᵨIᦪẆK6ᦪḄᓫOឋ᩽Bᨬᓽ\]^_.`⚪ὃcdᑭᵨIᦪẆK6ᦪḄᓫOឋ᩽BᨬஹefBDr᫏⚪.X=pcosdy=psind,iᣚ(x2+y2=p2uvwᙶ᪗efu/+y2—4y=o,᦮ᳮ/+(y—2)2=4.(V2Ix=---1(II){v|/Ḅ}ᦪefu~2(tu}ᦪ);ᐭx2+y2—4y=0,(7=1+nᑮ=0,ᡠJ+t=V2>tit=—3,22ᦑ|P4|+\PB\=|tj-t|=V(fi+f2)2-4tif2=V14.218⚓;ᐳ19⚓

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