2021-2022学年四川省成都高三（上）入学数学试卷（理科）（附答案详解）

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2021-2022
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12ᓽ(1+/C2)%I%2+(km—l)(%i+x)+m24-1=0,2(1+fc2),+(/cm-+m2+1=ᓄi37n2+4k-1=0ঝmᵫজঝ1164—10m2-1=0,m?=1,fm=1=pqᑨ2B4=8(21T62+i)>o,ABḄ!"ஹ=Tsa+Lூv᪆௃(()᪷zᙊḄ{᳛Y}.ᑮḄ~!"ᐵ«,ᓽᙊCḄ!"&(()*4(ᓃ,)5B(x,y),ὶ9!"ᙊ!"5ᓄTᐗ!"5᪷z᪷R22ᦪḄᐵY}*Ḅvᓽ.⚪⌕ὃᙊḄ!"ḄvY}9ᙊḄᐵ5ᑭᵨ!"¡Y}ᓄ¡,ᓄTᐗ!"5ᑭᵨ᪷RᦪḄᐵ5¢ᔠ*Ḅ¤v¥⚪Ḅᐵ¦.§ᔠឋ©ª5«¬©ᜧ5ᨵT°Ḅ±².21.ூ³ᫀ௃vs(µ)¶ᦪ/(%)Ḅ°·¸(0,+8),((%)=s-9=¹5…(2ᑖ)জ»aWO¾5f'(x)>0,ᡠYf(x)ᙠ(0,+8)ÁᓫÃ⌴Å&…(3ᑖ)ঝ»a>0¾5/'(%)=0,vÇ=a.»xÈᓄ¾5f'M&/"(x)ḄÈᓄÉÊ᝞Ì⊤ᡠÎsX(0,a)a(a,+oo)f(x)-0+f(x)ᓫÃ⌴Ï/(a)=Ina+1ᓫÃ⌴ÅᡠY5/(%)ᙠ(0,a)ÁᓫÃ⌴Ï5ᙠ(a,+8)ᓫÃ⌴Å.…(5ᑖ)§Ás»aWO¾5f(x)ᙠ(0,+8)ÁᓫÃ⌴Å&»a>0¾5/(x)ᙠ(0,a)ÁᓫÃ⌴Ï5ᙠ(a,+8)ÁᓫÃ⌴Å.(()»a=0¾5/Q)=Inxᙠ(0,+8)ÁᓫÃ⌴Å5Ò/প=0,ᡠY/(ÔᨵTÕÖ.&»a<0¾,ᵫ(()Ø5஻>)ᙠ(0,+8)ÁᓫÃ⌴Å5Ò/(I)=a<0,/(I)=a<0,/(e-a)=—a+aea=a(ea-1)>0,ᡠYÛᙠÜTxoe(l,e-a),Ýf(#o)=O,ᡠY/(%)ᨵTÕÖ.&»a>0¾5ᵫ(()Ø5/(Ôᙠ(0,a)ÁᓫÃ⌴Ï,ᙠ(a,+8)ÁᓫÃ⌴Å5ᡠYymin=f(a)=Ina+1,ᑣজIna+1>0,ᓽa>/(%)>/(a)>0,ᡠYf(x)ßᨵÖ.&ঝIna+1=0»ᓽa=y=/(a)=Ina+1=0,min

13»á£(0,a)U(a,+8)¾5/(%)>0,ᡠY/(%)ᨵTÕÖ.&ঞIna+1<0,ᓽ00,çf(%)ᙠ(a,+8)ÁᓫÃ⌴Å,ᡠYÛᙠÜT£(a,1),Ý/(%i)=0&èT!☢50VQ2vavê%2=a2,ᑣf(/)=Ina2+£=21na+ëg(a)=21na+i(0gg)=21ns+e=e-2>0.ᵫïf(x)ᙠ(0,a)ÁᓫÃ⌴Ï5Ò/(a)<0,/(a2)>0,ᡠYÛᙠÜT*2e(a?,஺)5Ý/(ᡭ)=0,ᡠY5»0l&f(x)ᨵ0ÕÖ.&00÷ø5¶ᦪf(x)ḄᓫÃឋ&(@)ᑖa=0ஹa<0ஹa>0úû÷ø5ü]Ẇþᔜ
ᦪḄᓫឋᔠḄᦪ
ᦪ/(x)Ḅᦪ.⚪ὃᑭᵨ"ᦪẆ$ᦪḄᓫឋὃᦪ%&'()ஹᑖ,-.()ஹ/01ᣚ()Ḅ3ᔠ4ᵨὃ567ᳮ%49:;<=>⚪.22.ூAᫀ௃DE(1)GHGḄJᦪ&'KLMO/|cosE(aKJᦪUae[-?5])(y=2V34-2V3sina221ᣚKbcᙶ᪗&'K/+3-26)2=12,(x>0),ᦑlGHKm(0,2n)Kᙊpm2qKrsḄtrᙊ.X=pcosOy=psm91ᣚK᩽ᙶ᪗&'Kp=4A/5COS஺U஺£[}{x2+y2=p2(2)GHC2Ḅ᩽ᙶ᪗&'Kp=4cos0,~M(Piy)N(p2y)ᡠm|OM|=4V3siny,\ON\=4cosy,ᡠm|MN|=4|V3siny-cosy|,\MA\=|O?l|sin(^-y)=4V3cosy,ᵫ=|MN|=y/3\MA\,ᡠm4|siny-cosy|=4V3cosy,Dtany=14⚓ᐳ15⚓

14ᵫ=0