河南省2021-2022学年高考仿真模拟数学试卷含解析

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1B.
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᪆௃প[\ᦪy=/(x)Ḅ(0,+஺)r(x)=Ö×ᑖavoÛa>0ÜÝÞßàáᑖ᪆ᦪy=/(x)Ḅᓫ#ឋ[\ᦪy=/(x)Ḅᨬᜧ3ᓽ\ᐵâãᦪ"ḄEHåæ[ãᦪ஺Ḅç3é*(2)ᑭᵨìᦪᑖ᪆\ᦪy=஻x)ᙠ(0,3)í⌴ᙠ(3,+8)í⌴%\0<᳝<3<஽ᵫ=31nx,--+^-ln30,᪀⌼ᦪg(x)=31nx-'+°ln30,ÌË\\XI7\XI73X13xg(xj>o,åæ\ᡭX2)>/—]ᵫᦪy=/(x)ᙠõö(3,+8)íḄᓫ#ឋÌ¿á.ூ
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15aa—\x(a-l)lnaÕ஺>1:•(”?!×1)43,f'(x)<0,ᑣf(x)ᙠ[1,m)ᓫ⌴ᡠ/(x)W/(l)=0,ᓽ:xNl/(x)<0ᡂ8a>1ᡠ◤¬,(஻-4)(஻-1)<3Ḅ᦮ᦪ,ᓽஹ

16aᓄ±(T—5a+4<31n.

17ñg(a)=t/2_5a+4_31na,a>1,/\-u32a2—5a—3(2a+l)(a—3)milòUg'(a)=2a-5——=----------=------7----L,a>1aaañg'(a)=O|Ua=3,Ûaw(1,3)§g'(a)<0,ᓽg(a)ᙠae(1,3)ᑁᓫõ⌴ÂÛa«3,+oo)§g'(a)>0,ᓽg(a)ᙠae(3,+oo)ᑁᓫõ⌴÷ᡠ®Ûa=3§g(a)Uᨬᑣg(3)=32-5x3+4-31n3=-2-31n3<0,(4)=42-5x4+4-31n4=-31n4<0,gg(5)=52-5x5+4-31n5=4-31n5®4-3x1.61<0,(6)=62-5x6+4-31n6=10-3(ln2+ln3)«10-3xl.79>0gᡠ®@§Z[a2-5«+4<31n«Ḅ᦮ᦪ஺Ḅᨬᜧ=a=58Û(/_4)(aT){3§,ᙠxw§/(úு஺@§/(l¼/0)=0,⚪Òûüᡠ®Ëᡂx.ln«21naþ?=᦮ᦪ஺Ḅᨬᜧᡠ®0z஺¹1§ÿ◤
ᡠxNl/(x)W0,᦮ᦪ"Ḅᨬᜧa=5.ூ௃⚪ὃᦪᙠ!"#Ḅ$ᵨᦪ&'ᦪᓫ)ឋஹ᩽ஹᨬḄᐵ./$ᵨ᪀⌼'ᦪ23ᨬ4ᑨ6'ᦪ278ᔠឋ:;<=⚪.20.(1)y+/=l,(1,1)(2)|PM|=||ூ?᪆௃(1)ᑭᵨBᓄD"EFGCᓄᡂIJᙶ᪗MNEOḄ᩽ᙶ᪗ᓄᡂIJᙶ᪗P(2)EIG/ḄRᦪMNḄ᪗ST"UᐭFGCḄIJᙶ᪗MN᪷XYZ[ᳮ]^RᦪfḄ_`abcd.ூe?௃2Y(1)ᵫdPW*2,jp0"y=psin஺Uᐭ"4᦮ᳮdFGCḄIJᙶ᪗MN5+/=1

18mOḄIJᙶ᪗(x,y),nOḄ᩽ᙶ᪗(o()ᡠ]x=pcosO-Ocos?=Lj=psin0=^2sin=1,ᡠ]OḄIJᙶ᪗(1,1).',3X=1+—/,5x2(2)jp:Uᐭr+t=1,4᦮ᳮd41P+U0t+25=0,.42y=1+—/I5nv=1102-4x41x25=800()>(),ᦑcmMNḄx᪷஺᝕ᑣfi,ᡭA,8|$ḄRᦪ}A+2=-----,41~⚪aM|$ḄRᦪ2τA+A55ᡠ]1PM=I-4LI=.7T241ூ௃⚪ὃᓫFGḄ᩽ᙶ᪗MN;#᫏⚪.(ᑍஹ/—45■11\TC21.(1)/—=3+>/3(2)/'(X)Ḅ⌴—/——iL.ூ᪆௃ᑍ(1)ᓄ'ᦪ/(X),UᐭX=—,ᓽcP1271(2)ᐜᑭᵨ'ᦪḄ&ឋ3'ᦪḄᓫ)⌴
ᔠXGᓽc3.ூ"௃(1)/()=6cos2x-sin2%=3(1+coslx)-sin2x=-Gsin2x+3cos2x+3=—2VJsin(2x—1)+3,/(A=3+A/3.TTTTTC(2)>?@+2kjrW2x—EF@+2kᐔ,keZ.232

197157r,-----kkᑍ?@X(2)ᦪg(x)$%&/((=*2-9+1C+1,67ᨵᑁ+/=஺+1,᳝஽=1IJKLᑭᵨxx\2&ᑮ0P᳝Q@.RSTUg(xj-g(&)2ZḄYZ[ᓄᡂᐵ᳝Ḅᦪ^᪀⌼aᦪᑭᵨ%ᦪẆcᦪḄᨬef,67&ᑮgḄhfj.ூ
௃k(1)ᵫ/(%)=ox-lnx-l,XG(0,+OO),o()/(x)=஻-Lax-iXxrsᑣf(x)W0,ᦑᙠ(0,+8)gᓫ=⌴z;r஻>0s}/(ᑍ)=0=>%=,aᡠf(x)ᙠ(0,kgᓫ=⌴zᙠ+8)gᓫ=⌴.gᡠkr440s/1)ᙠ(0,+8)gᓫ=⌴z@r4/0sᙠo,/gᓫ=⌴zᙠ+8gᓫ=⌴.7

20(2)••g(x)=lnx+/x-(Q+1)X,,1x2—(a+l)x+1(X)=—+X—(Q+1)=——-——-——IXXᵫg'(x)=஺&/(஺+1)+1=0,%+2=஺+1%஽=1A^2=X-,1ஹ5x+—>—x,21•4>2•&0<᳝W/.20<%<—•••gxj_gx2=lnk+@x@¥஻+1᳝஽=2111᳝@xj/z(x)=21nx-gᑣ/%=2=-J
0,XX'XMஹ11…ஹᵪᚪ/hx
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