2022-2023学年广西桂林市高三（上）联考数学试卷（理科）（附答案详解）

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2022-2023
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13ঝ#P'GḄ᳛¤¥:=¦2+k2—-U@#PQ_#P'GḄ᳛Ḅ§¨=k+ª2.(k=1«¬®).#PQ_#P'GḄ᳛Ḅ§Ḅᨬ±²2.³«#PGḄMy=r+¶.ூQ᪆௃(·)ᑭᵨ¹º$»fᑮMU(¼জ#½஺Ḅ᳛¾ᐸMy=kx,(k>0).ὶÀMXfQ=ᜧÂ)PQ,a/c),Q(—u,-tzK),E(u,0).z/#QGḄ᳛ÊMy=5(x—u),=XG=gÎJ஺=K.uk3_,?#PGḄ᳛.Ï:=-.ᨵkpQxkpG=1,ᓽXÐÑ__uঝ#P'GḄ᳛1t◤;"=O=k+P2.(k=1«¬®).ᓽXÔQ.-2+fc5—-U³⚪ὃlm¹ºÔ#M#_ᙊḄÕᔠᣚᐗºØὃlÙZwx»Úᜧ.21.ூ|ᫀ௃Q(1)((%)=+%+஺=^^0>0),Qf'(x)-0,ᓽ/+ax+1-0.S=a2-4জÞa?-4W0«ᓽ-24aW2«/++i2oឤᡂÀᓽ(()20,³«/(äᙠ(0,+8)ᓫæ⌴èé᩽²ঝÞ&2-4>0«ᓽ(1<2ᡈ.>2,îa<-2,ïMM+ax+1=0Ḅr᪷ñix,ò_(ó2ᵫôõöᳮᦑ%>0,÷2>஺14]42—JL/U³«ñe(o,%i),/'(%)>0,/(%)ᓫæ⌴è,xG(x,x)»r(%)vo,/(%)ᓫæ⌴ûx2X6(%21+°°)»/'(%)>0,/(%)ᓫæ⌴èᦑ%1%2ᑖþ/(X)Ḅ᩽ᜧ²ÿ᩽
QV-2/(%)ᨵ᩽a>2,%2+Q%+1=oḄ᪷"%1%2#ᵫ%&'ᳮᦑ*<0,-<0,/(%).᩽/012aV—2,/(%)ᨵ᩽2a2-2,/(%).᩽.(2)0)/஺)ax,C14⚓ᐳ16⚓

14aSGHIXex-

15x+x2(”*2%)%-K+1ᡠ%2_e%x-i)+lnx+%2TJ0)=h'(x)=X2M6(0,1)ez(x—1)+Inx+x2—1<0,ᓽ/i'(x)<0,J(x)ᓫS⌴Ux€(l,+oo)ex(x—1)4-Inx4-%2—1>0,ᓽJ'(%)>0,J(%)ᓫS⌴X%=1"J(%)Ḅ᩽
ᓽJ(%)>h(l)=e+1,ᦑa0,k(x)ᓫS⌴Xᦑr=e"k(x)Ḅ᩽
k(x)>fc(e)=2,ᓽInx+£22ঝX2#e2M=eḄfᡂhᵫজঝw7fxyᡂhe"+/_(°+l)x+(>2.ூo᪆௃(1)ᦪ/'(%)=1+%+”=஺>0),(஺)=0,ᔠᑨwজ2-440ঝ2ᓝa4>0ᑖᑨᦪḄᓫSឋoᦪ᩽ᓽ.(2)(i)/(%)Wg(x)789Inx++axWe”+|a,aaI1+J(%)=ᓃIᦪḄ᩽aSe+1.X(ii)ᵫ(i)]a=e+1/(%)<^(x),ᓽIn%++(?+1)%e"+1/,pᑮ+%2-(e+l)x+-

16X=pcos஺y=psinJ,{x2+y2=p2¦ᣚ"¸Äᙶ᪗"(x+1+(y+2)2=1,¦ᣚ"ºᦪ"e=aᵞW(஺"ºᦪ)(0<9<2ᐔ).(2)ᑭᵨ(1)ÉḄÊᙊH(a1,a2)ᑮ¸¹ḄÌÍd=ᓃÏᡝ=2V2,ᑣMᑮ¸¹ḄÌÍḄᨬᜧ"d+r=2V2+l,M(x,y),ᡠÖᙊH(ߟ1,—2)#ᚖ¸9¸¹x+y—1=0Ḅ¸¹Ḅ"x—y—1=0,r鱼X=-V2-1lX=一1ᡠ+17+”+2)2=1解得v2或2u它lx-y-1=0-y-_V2-2xy=222ᦑM(-j-1,a¥—2).ூo᪆௃(1)¸Üᑭᵨ¦ᣚᐵÞᙠºᦪஹ᩽ᙶ᪗á¸Äᙶ᪗¢âãä¦ᣚ(2)᪷åᩩçèᑮ¸¹ḄÌÍḄᨬᜧéᑡMḄᙶ᪗ᓽ.¨⚪ὃ«Ḅ]ë⌕1ºᦪ᩽ᙶ᪗á¸Äᙶ᪗¢âḄ¦ᣚᑮ¸¹ḄÌÍíwḄ¬ᵨîᐗîðḄo¯ñ⌕ὃ«òóḄô³´µáᦪò°õ´µö9É᫏⚪.23.ூ¶ᫀ௃o1<2+|x+l|=|x-a|<2=-2+a|a—%+x+1|=|a4-1|,ᡠf(%)Ḅᨬ|a+1|.ᦑ!"Ḅ#eR,/(%)>2Q+1ឤᡂ'()ᓄ|a4-1|>2a+1,ᡠ+,-ᡈ/0a<0.ᡠ2ᦪaḄ46(-8,0).ூ/᪆௃(1)/;<=>(0<=>Ḅ/?@ᵫ<=>Ḅ/?BC[-3,2]ḄEBC,(0ᐵGaḄ<=>H@/Iᓽ(0KLM(2)ᵫ;NO<=>(0/(x)>|a+l|,ᑣ<=>ឤᡂ'R⚪)ᓄ|a+1|>2a+1,TU(V0aḄ46.W⚪X⌕ὃ[;<=>Ḅ/\@<=>ឤᡂ'R⚪@]^_)ᓄḄᦪ`ab@cGd᫏⚪.f16⚓@ᐳ16⚓