2022-2023学年河南省豫南名校高一（上）期中数学试卷（附答案详解）

《2022-2023学年河南省豫南名校高一（上）期中数学试卷（附答案详解）》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

2022-2023
ᓭḕᓭ᪥()ᦪᔁஹᓫ⌱⚪(ᜧ⚪ᐳ8⚪ᐳ40.0ᑖ஺ᙠ⚪ᑡḄ⌱⚗⌱#ᔠ⚪%Ḅ⚗)1.)*ᔠU={x€N|xW6},M={1,2,3,5},N={2,3,4},ᑣ(CuM)UN=()A.{4}B.{0,2,6}C.{234,6}D.{0,2,3,4,6}2.BᑡC⚪DᐰFGHC⚪ḄD()A.IᙠJKᦪḄLMDNᦪB.JOPQḄᑁSTUD360஺C,VWᨵJ᦮ᦪx,Z[/+3xD^ᦪD.3x6R,x2=x3._`aᦪᑣbc))=()A.-2B.1C.8D.-104._`aᦪ/(x)Ḅfghi[0,4],ᑣaᦪg(x)=mḄfghi()A.(0,1]B.(0,16]C.[0,1]D.[0,16]5._`nopQ/+᱐-3V0Ḅs*i{x|-1V%V3},ᑣnopbx+1+a>0Ḅs*i()A.RB.0C.{x\x<1}D.{x\x>1}6._`Kᦪx,y,ᑣ“%>y"D"(x-y)(%+y)2>0”Ḅ()A.|⌕nᐙᑖᩩB.ᐙᑖn|⌕ᩩC.ᐙ⌕ᩩD.nᐙᑖn|⌕ᩩ7._`JKᦪ,yx+y=l,ᑣ;ḄᨬᜧD()A.ᯅB.C.6D.98._`fgᙠRḄ᜻aᦪ/'(X)ᙠ(-8,0)ᓫ⌴fgᙠRḄᏔaᦪg(x)ᙠ(-8,0]ᓫ⌴f(2)=g(2)=0,ᑣ/(x)g(x)<0ḄxḄD()A.(-co,-2)U(-2,0)B.(0,2)U(2,+8)C.2,0)U(2,+oo)D.(-8,—2)U(0,2)£ஹ¤⌱⚪(ᜧ⚪ᐳ4⚪ᐳ20.0ᑖ஺ᙠ⚪ᨵ¤⚗#ᔠ⚪%⌕¥)

19._`KᦪQ,b,c,¦Q>b>0>c,ᑣBᑡnopfᡂ¨ḄD()A.-cab10.¦“VxGM,2-x<0”iªC⚪,u3xGM,/4%>o"iᎷC⚪ᑣ*ᔠM¬D()A.(1,2)B.(3,4)C.(0,2)D.(2,3)11.®`aᦪ/'(x)=X3+X+1,ᑣ()A./(x)ᙠRᓫ⌴B.f(x)D᜻aᦪC.¯(0,1)D°±y=/(x)Ḅ²F³D./(%)ḄhiR12.®`´µKᦪa,ba2+/=l,ᑣ()A.&2+᮱¸Ḅᨬᜧi1B.⊈2Ḅᨬᜧi:4c¹>1112D-¼+½4b~¾ஹ¿À⚪(ᜧ⚪ᐳ4⚪ᐳ20.0ᑖ)13.)*ᔠ4={0,a+b},B={b,a—b},¦4nB={1},ᑣ£>=.14.ÃᑏJÅÆBᑡJᩩḄaᦪf(x)=.(1)/(%)D᜻aᦪ;(2)f(x)ᙠ(0,+8)ᓫ⌴.15.¦nopxy+2>0²1

218.(⚪12.0ᑖ)_`/'(x)DfgᙠRḄᏔaᦪòx>஺Æ/(x)=2x2-3x.(1)¥f(x)ᙠ(8,0)Ḅs᪆pñ(2)snop/(")<2.19.(⚪12.0ᑖ)_`aᦪf(x)=?.(1)èç/(x)ᙠõö(0,2÷ᓫ⌴ñ(2)_`a>0,f஺)ᙠøa,1÷ḄhDg,ù¥a,bḄ.20.(⚪12.0ᑖ)fgᙠRḄaᦪᙠRᓫ⌴/(2)=32.)*ᔠ4={x|/(x)+2x-36<0).(1)ÃᑏJ´À*ᔠB,Z“X64”D“X6B”Ḅᐙᑖn|⌕ᩩñ(2)ÃᑏJ´À*ᔠB,Z“X62”D“X6B”Ḅ|⌕nᐙᑖᩩ.21.(⚪12.0ᑖ)_`4BCDDPúi1ḄMQ¯PDMQᑁ¯¯PᑮP4஺ḄýþiX,¯PᑮP4BḄýþiy.পᵨ
,y⊤|4P|+|BP|+|CP|+(2)|AP|+\BP\+\CP\+|DP|Ḅᨬ.22.(⚪12.0ᑖ)f(%)!"#$ᦪ&'()f(0)=2,f(x+1)=/(x)+2x.(1)f(x)Ḅ-᪆/0(2)1a00,345%+1Wa/+78+cW/(%)ឤᡂ<,be+3aḄᨬᜧ.

3AᫀC-᪆1.ூAᫀ௃Dூ-᪆௃-F•0U=(X&N\x<6}={0,1,2,3,456},M=(1,2,3.5)••CuM={0,4,6},N={2,3,4},•••(QM)UN={0,2,3,4,6},ᦑ⌱FD.᪷KLᔠḄNOPᓽR-.⚪S⌕ὃVLᔠḄNOP&WXNẠ.2.ூAᫀ௃Bூ-᪆௃-F⌱⚗A,C,஺\&ᑖ]ᨵ“`ᙠ”&“cd”&“e’g᪵Ḅᱯjkl&ᡠn⌱⚗A,C,஺opᱯjq⚪&⌱⚗&spᨵ“tu”g᪵Ḅᐰjkl&ᡠnq⚪pᐰjq⚪&ᦑ⌱FB.᪷Kᐰjq⚪wᱯjq⚪\ḄklᓽRᑨy-.⚪ὃVzᐰjq⚪wᱯjq⚪Ḅ{|&}~NẠ⚪.3.ூAᫀ௃Cூ-᪆௃-F•.•$ᦪf(x)=ᔆ"1"1°&1%—L%vu•••/(V2)=-(V2)2-1=-3,/(/(&))=(-3>-1=8,ᦑ⌱FC.᪷Kᑖ$ᦪḄ⊤/&ᑭᵨᐭ-ᓽR.⚪S⌕ὃV$ᦪḄP&}~NẠ⚪.᪷Kᑖ$ᦪḄ⊤/&ᑭᵨᐭ-ᓽR.4.ூAᫀ௃A

4ூ-᪆௃-Fsp$ᦪf(x)Ḅ{|p[0,4],ᡠn⌕$ᦪg(x)=ᨵ5|&ᑣ0*,ᓃ-0஺ᓄpF—2x+2>0,-x<1,ᡠn/Ḅ-Lpx|x<1¨,ᦑ⌱FC.ᵫ1R-1,3!©ªa/+b²-3=0Ḅ᪷&ᑭᵨ³{ᳮµ<©ªᓽR¶a,bḄ&ᯠ¸ᐭᡠḄ/&ᵫ¹ᓽR-.⚪ὃVz§ᐗ"#/Ḅឋ¼&ὃVz½¾ḄOP£¤&}~NẠ⚪.6.ூAᫀ௃Aூ-᪆௃-FÀx=l,y=-lÁ&(x-y)(x+y)2=0,ᡠnᐙᑖឋᡂ<&-/(x-y)(x+y)2>0RFx>y'xM—y,ᑣ“x>y”!“(x—y)(x+y)2>0”ḄÄ⌕ᐙᑖᩩÆ&ᦑ⌱FA.-¶/Ḅ-L&ᯠ¸᪷Kᐙᑖ&Ä⌕ᩩÆḄ{|ᓽRᑨy.⚪ὃVzᐙᑖ&Ä⌕ᩩÆḄ{|&ὃVz½¾ḄOP£¤&}~NẠ⚪.7.ூAᫀ௃B

5ூ-᪆௃-FspÈÉᦪ8,y()x+y=l.ᡠn&+1=(2+i)(+y)=5+"+225+2²y'xyÍx''xyᔠ=9,À'ÏÀ8=2y'8+y=1,ᓽy=g,x=&ÁÐÑ,Ò1,1ᑣÓ;=1^-9-yxᦑ⌱FB.ᵫ1ÕᔠÖ1&ᑭᵨN/R:+:Ḅᨬ&ᯠ¸3ᡠ/ØᑖÙÚÛ&ᓽRxy-.⚪S⌕ὃVzÖ1N/ᙠᨬ-\ḄÜᵨ&}~NẠ⚪.8.ூAᫀ௃Aூ-᪆௃-Fᵫ᜻$ᦪᙠ(§8,0)ßᓫá⌴ã&ᑣf(x)ᙠ(0,+8)ßᓫá⌴ã&ᨴ/(—2)=-/(2)=0,/(0)=0,Àᑐ<§2ᡈ000À-22Á&/(x)<00ᵫ{|ᙠRßḄᏔ$ᦪg(x)ᙠ(-8,0éßᓫá⌴ê&'g(2)=0,Rg(-2)=g(2)=0,g(x)ᙠë0,+8)ᓫá⌴ã&À§2cx<2Á&g(x)>00Àx<-2ᡈx>2Á&g(x)<0.᝞)í<஺îpï"ᡈᓃð;&ᓽpjxV-2ᡈ02,(%<-2ᡈx>21-20,f(%)v0Ḅ-L&ng(x)>0,g(x)v0Ḅ-L&ö÷/(x)g(x)<0îpøᨌú᝼0,-/¡&RᡠÐý.⚪ὃV$ᦪḄ᜻ᏔឋCᓫáឋḄ{|COᵨ&ὃVᑖþÿ
ஹᳮ᫏⚪.9.ூᫀ௃AD

6ூ᪆௃a>b>0>c,ᡠ"#ci+c>b+c,A%&C┯)*ab+,c2>0,ᦑẄ2>02,B┯)*+,a>b>0>c,ᡠ"a>b>b+c,£>%&.ᦑ⌱AD.ᵫ678ᔠ:;<=>ᑖ@ABᔜ⌱⚗ᓽFᑨH.;⚪I⌕ὃLM<=>ḄឋḄPᓫRᵨ:Ạ⚪.10.ூᫀ௃BDூ᪆௃V4XᔠM,(1,2)<\]“VxeM,2-x<0,,,bc⚪\]x2-4x>0”,Ꮇc⚪ᦑA┯)VB,XᔠM,(3,4)\]“VxeM,2-i<0”,bc⚪\]“mxeM,x2-4x>0",Ꮇc⚪ᦑ8%&VC,XᔠM,(0,2)<\]“VxGM,2-%<0",bc⚪\]'pxGAf,x2-4x>0”,Ꮇc⚪ᦑC┯)VD,XᔠM,(2,3)\]“YxWM,2-x<0M,bc⚪\]“sX6M,7-4%>0”,Ꮇc⚪ᦑ஺%&.ᦑ⌱BD.x⌱⚗ḄXᔠyz{ᐭ“VxCM,2-i<0”,bc⚪“mxe”/~4%>0”,Ꮇc⚪BᓽFyz.;⚪I⌕ὃLᱯc⚪ᐰc⚪ḄRᵨ:Ạ⚪.11.ூᫀ௃ACDூ᪆௃᪷⚪yzᑖ᪆⌱⚗V4ᦪy=/y=x+iᙠR,ᦪᑣᦪ/(X)ᙠRᓫ⌴4%&*V8,ᦪ/'(%)=x3+x+1,ᐸ,R,ᨵ/(-%)=-x3-x+1,ᑣᨵ/'(x)+/(-x)=2,ᦑ/(x)<᜻ᦪ3┯):

7VC,ᵫᦪḄ᪆>f(x)+/(—%)=2,ᑣ(0,1)y=/(x)ḄVC%&;VD,ᦪஹ=᮱y=x+lᙠR,ᦪ¢£,R,ᦑᦪ/(x)Ḅ£,R,஺%&*ᦑ⌱ACD.᪷⚪yzᑖ᪆⌱⚗ᔲ%&ᓽF¥ᫀ.;⚪ὃLᦪ᜻ᏔឋḄឋ§"¨Rᵨ©¨ᦪḄᓫឋVឋ:Ạ⚪.12.ூᫀ௃ABDூ᪆௃ᵫ⚪¥஺2=1-ªᡠ"஺2+62-,=~/4+᮱+,=~92-32+131,A%&;?2<\\2<±t!LL,¬¢¬=஻¯°=±8%&*abab=²t=b2,³Ijte(o,i),/(t)=T+ᙠ(0,1)ᓫ⌴´/(t)>/(i)=o,c┯)*µ+%=©+·(஺2+9)=2+%2+2=4¬¢¬a2=bஹT¯°=±஺%&•ᦑ⌱ABD.ᵫ¹7¥஺2={ᐭᑮ஺2+᮱~)»8ᔠ¼zᦪḄឋ§FAB⌱⚗A*ab2<\a\b2<=½¾FAB⌱⚗B2ᑭᵨᣚᐗ²t=¨{ᐭᑮᡠ>»8ᔠᦪᓫឋAB⌱⚗C*ᑭᵨÃ1Ä8ᔠ:;<=>AB⌱⚗D.;⚪I⌕ὃLM:;<=>¨¼zᦪḄឋ§ᦪᓫឋᙠᨬ£ḄRᵨ᫏⚪.13.ூᫀ௃1ூ᪆௃•••2CIB={1},•1”,1E8,ᓅÇ=1ᡈ¥ᡈF;a=0,b=1¯AC\B={1}*a=1,b=0¯24nB={0,1},<\]ᩩÊ,b=1.ᦑᫀ,1.

8᪷ᩩÊF¥Ëlea,leB,̾¥Ë=1ᡈËabḄ£ᯠ»Bᔲ\]AnB={1}ᓽF.;⚪ὃLMÎXḄ¨ᐗÏXᔠḄᐵÑὃLMÒ:Ạ⚪.14.ூᫀ௃■ᫀ<Ô~)ூ᪆௃Fὃ⇋Öᦪ×᝞/(%)=*,,(—8,0)U(0,+8),f(x),᜻ᦪ¢ᙠ(0,+8)ᓫ⌴´.ᦑᫀ,“ᫀ<Ô~).ὃ⇋ÚᦪᑨHÛḄ᜻ᏔឋᓫឋF¥8.;⚪ὃLᦪḄ᜻ᏔឋᓫឋḄÜᔠὃLᳮ:Ạ⚪.15.ூᫀ௃-1,2
ூ᪆௃Ý<=>xy+220V\]~1WxW2Ḅ~ᑗßᦪXàᡂâ²/(x)=xy+2,ᓽf(x)20ᙠã~1,2
ឤᡂâᡠ"ᓽ¥—lSyS2,ᡠ"yḄ°£æã-1,2
.ᦑᫀ,—1,2
.x<=>çᡂᐵxḄ~zᦪ᪷~zᦪḄឋ§ᓽF.;⚪ὃLMᦪḄឤᡂâè⚪᫏⚪.3x+14000,0<%<100016.ூᫀ௃y=14000,x=10001000,20000-3x,1000

9᪷⚪ᑖìí0᪷ᑖîᦪḄឋ§ᓽF¥Ëᫀ.;⚪ὃL᪷ß▭è⚪⌱ðᦪìñᑖîᦪḄឋ§ὃLᦪ
ᑖìí
ὃLòóᳮ᫏⚪.17.ூᫀ௃ô1-36B,1£B,197n—3m4-2<0im4-m4-2>0¥-1—2¢xW4},m=-1¯B=[x\x24-%—2>0}={x\x<-2ᡈx>1),•4nB={x\x>1¢iH4},4UB=R.ூ᪆௃(1)᪷ᩩÊF¥Ëᯠ»ËmḄæᓽF*(2)÷ø/(x)Ḅ¥ËXᔠ4⊈=-1¯¥ËXᔠ8,ᯠ»½úÎXûXḄᓽF.;⚪ὃLMᐗÏXᔠḄᐵÑᦪḄ¨ÄÎXûXḄὃLMÒ,:Ạ⚪.18.ூᫀ௃:(1)᪷⚪üiV0,ᑣ~%>0,/(—x)=2(—%)2-3(-x)=2x2+3x,ýᵫ/(%),Ꮤᦪᑣ/(%)=/(-%)=2/+3%,ᦑ/(%)=2x2+3%*(2)᪷⚪ᵫ(1)Ḅ8=+<2,ᑣ{jfJ3x<2ᡈREQ3x<2,F¥-2ḄX,(—2,2).ூ᪆௃(1)᪷⚪üx<0,ᑣ-x>0,Ë--x)Ḅ⊤ÿ
ᔠᦪ᜻ᏔឋḄឋᫀ(2)᪷⚪
ᵫᦪḄ᪆
f(x)<2={<2ᡈ<2,ᫀ.⚪ὃ!ᦪḄ᜻ᏔឋḄឋ"#$ᵨ
&#ᦪ᪆'()Ḅ*+
,-.Ạ⚪.

1019.ூᫀ௃(1)6789:ᦪ/(:===%+8,AB%1
%2€(0,2],GH1<%2
ᡠ"/஺1)-/(M)=(x+[)-஺2+B)=(XI-S)-([TU)=01-%2)(1TV);x%1%2X1X2xlx29:0V%iV᜜42,ᡠ"-%<°»0i
ᓽ1-7T>o
xlx2xlx2ᡠ"/(d)T/(%2)>0,ᓽfQ1)>/(%)
2ᡠ"/(%)ᙠhi(0,2]Sᓫk⌴m(2)9:a>0,G/(x)ᙠ[a,1]SḄopq[b,s
ᵫপuf(x)ᙠ[a,l]Sqmᦪ
ᡠ"f(a)=w
Gxl)=bᓽa+z=l■a=9
lO2
/(x)>32,<2,/(%)<32,()/'(x)+2x-36<0,x=2
/(x)+2x-36=0,ᡠ"()/(x)+2x-36<0Ḅ:4={x\x<2](1)9:ᔠ{x|x<2}i[x\x<3},ᡠ"ᔠ8=[x\x<3}ᓽ:ᡠ*,(2)9:ᔠ{x|x<1}S[x\x<2},ᡠ"ᔠB=[x\x<1}ᓽ:ᡠ*.ூ᪆௃᪷ᦪḄᓫkឋ*
x<2
/(x)<32,"*ᔠ4Ḅ
(1)᪷ᐙᑖ(⌕ᩩḄ"#ᔠḄᒹᐵᓽ*8(2)᪷⌕(ᐙᑖᩩḄ"#ᔠḄᒹᐵᓽ*.⚪ὃ!ᐙᑖ
⌕ᩩḄḄ$ᵨ
ὃ!¡¢Ḅᳮ¤¥¦
,-.Ạ⚪.

1121.ூᫀ௃8(1)"4B:x§
4D:y§ª«¬☢®¯ᙶ᪗,ᑣP(x,y),᝞µᡠ¶:4(0,0),8(1,0),C(l,l).0(0,1);ᡠ"|4P|+\BP\+\CP\+\DP\=y/x2+y2+V(x-l)2+y2++(y-i)2+J(x—i)2+ব-1)2,(0,1),yG(0,1)xe(2)9:|4P|+|BP|+\CP\+\DP\=(\AP\+|CP|)+(|BP|+\DP\)>\AC\+\BD\=2V2,ᡠ"ᨬ¾o:2¿.ூ᪆௃(1)"AB:x§
4஺:y§ª«¬☢®¯ᙶ᪗
ᑭᵨᙶ᪗⊤¶ÃP,|AP|+|BP|+\CP\+|DP|ᓽ;(2)᪷ÄÃÅiÆÇᨬÈ
"#()Ḅ.ឋ
ᓽ*|4P|+\BP\+\CP\+|DP|Ḅᨬ¾o.⚪ὃ!ÄÃiḄÉÊË"#()Ḅ.ឋ$ᵨ⚪
q.Ạ⚪.22.ூᫀ௃8(1)Ìuf(x)qÍÎᦪ
GÏÐf(0)=2,/(x+1)=/(x)+2%,Ñ/(x)=m/++1(ÓÔ0),ᵫ/'(0)=2
t=2
ᵫ/(x+1)=/(%)+2x,+I)2+n(x+1)+2=mx2+nx+2+2x,᦮ᳮ(2m-2)x+(/ri+n)=0,ᡠ"120ឤᡂ«
ᡠ"/=(b—l)2-4a(c-1)=(Q+c—1)2—4Q(C—1)=(Q-c+I/40,ᡠ"c=a+1,b=1—2a,ᡠ"be+3a=(1—2Q)(Q+1)+3a——2ct2+2a4-1=-2(Q——)2+^ãa==0,c=|
)äᡂ«

12X2—%+2—(ax2+bx+c)=|x2-%+1=1(x—I)2>0ᡂ«
ᡠ"be+3aḄᨬᜧo:|.ூ᪆௃(1)Ñf(%)=+æH+KM=o),ᵫÌuᩩᑡèé*m,n,t,ᓽ/(%)Ḅ᪆(2)ÚX=1,ᑣ()êᣚ:2