北京市大兴区2022-2023学年数学高三上期末质量检测模拟试题含解析

《北京市大兴区2022-2023学年数学高三上期末质量检测模拟试题含解析》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
ᦪᔁ⚗1ᔁὃḄஹὃ!ஹὃ"!#$%!&ᑏᙠ⚪ᔁ#⚪ᓱ஺ᵨ2B-.ᔁ/0B&1ᙠ⚪ᓱ23%4஺ᩩ6ṹ89ᙠ⚪ᓱ:;஻ᩩ6ṹ89ᜐ”஺2.A⌱C⚪D⌱EFG⚪ᫀIᵨ2B-.J⚪ᓱK3⚪L⌱⚗ḄᫀMNO1PQ᝞◤ᦋUᵨVWXYZI[⌱1ᐸ]ᫀ஺ᫀ^_ᙠ⚪ᔁ஺3.`⌱C⚪aᵨP⁐cdḄe.ᡈgc.Aᫀaᑏᙠ⚪ᓱᔜ⚪Lᢣjklᑁ23%4Q᝞◤ᦋUᐜᑜᣵqᩭḄᫀ,ᯠI[ᑏuᫀQ^vᵨ-.#1ᦋw஺^ᢥy⌕{A|ᦔ஺4.ὃa~⚪ᓱḄ᦮஺ὃIᔁ#⚪ᓱ஺ஹ⌱C⚪⚪ᐳ12G⚪FG⚪5ᑖᐳ60ᑖ஺ᙠFG⚪EḄ⌱⚗ᨵ⚗ᔠ⚪L⌕{Ḅ஺1.2019
ᐰ
Ḅᨴᦈᦪ᝞ᡠᑣ┐K2019
¡
Ḅᦈ¢£¤ᑡ¦§┯©Ḅª即8070605040302010°I2344567K9101112JIA.ᨴᦈᐭḄ᩽®60B.7ᨴ¯Ḅᑭ±ᨬᜧC.¡12ᨴᑭ±Ḅ%ᦪ´µᦪᙳ®30D.¡
Ḅ·ᑭ±¸¹400ºᐗ2.¼½¾!J“ÁÂax+2y_]=0´ÁÂa+lx-2"+1=0ᚖÁ”“஺=3”ḄªA.ᐙᑖ^⌕ᩩÆB.⌕^ᐙᑖᩩÆC.ᐙ⌕ᩩÆD,Ç^ᐙᑖÈ^⌕ᩩÆ3.¤ᑡ¦§ÉÊḄA."Ì஺>1,ᑣa>1”ḄᔲÏ⚪"Ìa>1,ᑣa2sinB”ᡂÓḄ⌕^ᐙᑖᩩÆ7CC.“ÌtanaHl,ᑣaw—”ÕÏ⚪4D.ÖᙠG-oo,0,v×25<3%ᡂÓ4.ØÙÚᓭEÜḄyÝḄÞߪàßáᑴᡂḄ“ß㔪1,ᐙᑖäåᡃçèé¸ḄêëìíîᐜïḄᦪðñÈᓺåᡃçèéêë´ᔊ§Ḅôᑗὶ÷.2®ßãøù“᧡ªûáᑖ”“üªýáþ”Ḅ3ßãḄÿᑖ
ᦪḄᶍᡈᐝᓤ□ᐝ᧡ᑖᐝᓤ□ᐝḄᜳ!"#$%&!.

1ᐗ.•ᓭ*1ᵫᔊ+ᳮ-.$%&!/101ᢝ345ᐸᑗ89:;Ḅ1<᝞>⊤:$%&!23°41,23°57,24஺13024஺28'24஺440ᑗ80.4390.4440.4500.4550.4611fvw-qxḄvᦪQজ_஺z{U3Ḅ_plᡂaᩩᑣNḄj~QZ-ঝDPII☢ACB,ᑣOP☢ACCAᡠᡂ!Ḅᑗ88Q111ঞOP=JT,ᑣᙠNfnpv☢FḄᢗj~Ḅᨬᜧ8U6A.0B.1C.2D.37.g.m,nU☢om_L\☢a,n_L\☢o11J_m,1_Ln,ᑣA.a//p/஻aB.a_L0/±pC.ap&&ᚖo#/D.ap&&\#/a+a+a=9,=!_஻eN*,ᑣᦪᑡḄᨬᜧ8Q8.ᙠ"ᦪᑡ஻qa=_5,n2567nann1A.—3B.--3C.lD.3

29.g.aven┵Ḅe᝞ᡠᐸqeḄjஹ¢ஹ£ᑖ¤U2,஺h,2a+b=ᑣ2¥en┵᜜§ᳫ⊤☢©Ḅᨬ58U)1721A.nnC.4ᐔ5ᐔ4-4-10.g.aQ`db▲Ḅ!tanᐔ+a=aᑣsin2a=()4121224_24A.B.-811.᝞Qav«¬Ḅeᑣ®v«¬Ḅ©UD.3ᐔ12.>ᑡfvbL¯Q°ᦪy=51og31x+llbḄQ)——=^44——

3;ஹ=>⚪@A⚪ᐳ4C⚪0DC⚪5ᑖ0ᐳ20ᑖ஺7113.FGH☢ᔣK305ḄᜳNOP0£=(ஹRS)0U|£PW|=ஹX0ᑣ|3|=314.Z᜻\ᦪ/(X)_`/(X+2)=—/(x),g(x)ORaḄᓫc\ᦪ0defgᦪXeRhᨵg[g(x)—2x+2]=1,jk0/(x)=g(x),ᑣ/(log12)=.215.ᙠH☢mNᙶ᪗pxQyq0A,BOxrstraḄuvwx0P(yz{x஺)OyraḄPv|x.Z}ABOm~ḄᙊᙊX2+&-2)2=1᜜ᑗ0UN4PBḄᜧCឤO|0ᑣ0PḄO.16.FGᱥC@=4x,xPOᱥCaPwx0xPᙊ“@&-3)2+=4Ḅᑗ0ᑗxᑖO4B,J/2ᑣABḄO.ஹ⚪@ᐳ70ᑖ஺ᑏᦻஹᡈ¡¢£¤஺17.(12ᑖ)¥¦§¨—2<©—1|-^+2|<0ḄªO«0a,beM.11¬1(D@_364(2)®¯|°4a°2|”SḄᜧC,±ᳮᵫ.18.(12ᑖ)FG/(x)=x3+3ax2+bx+a2(a>l)Ḅ*´ᙠx=-lᜐḄᑗ¶Oy=O.(1)·¸ᦪ4ᓃḄ(2)Z¶/(x)=cᙠº»[-4,1]aᨵuv¦½Ḅg᪷0·gᦪcḄ.19.(12ᑖ)FG\ᦪ/(x)=l+2x-±-6alnx¿ᙠPv᩽ᜧxÁPv᩽Cx.X(1)·gᦪQḄফZ\ᦪ/(X)Ḅ᩽ᜧxÁ᩽CxᑖOXÁX,U/(x)+/(x)<2-6e,·gᦪḄ.(eÃÄa1212ᯠdᦪḄÆᦪ)20.(12ᑖ)ᦪᑡ0_`஺+2஺+3஺+..+஻Q=2-------.nI23"2nপ·ᦪᑡ3ḄÊ⚗̨n2ফᵨb=/____ÎஹTOÏ"Ð1ீ"YnḄÑn⚗Á0·@n21.(12ᑖ)ftÒḕ202()ÔÕὃ×gØÙḄÕὃᦋ☩¶ᫀ.ὃÝḄÕὃÞᡂà×ᵫ3áâPÕὃãäᡂàÁÄå⌱çḄ3áèÊÕqéêëH§ìὃíãäᡂàîᡂ0ÞᑖO750ᑖ.ᐸq0âPÕὃãäOðᦻஹᦪéஹ᜜ð0Äå⌱çḄ3áèÊÕqéêëH§ìὃíãäÃñᱥᳮஹᓄéஹÝᱥஹᔊôஹõöஹᙢᳮ6ãq⌱ç3áO⌱ὃãä0ðஹ

4ᦪஹ᜜ãᔜᓰ150ᑖ0⌱ὃãäᡂàúᵨ“ûᑖᑴ”0ᓽ{þᑖᦪ¦mÿᵨ
ᢥ᯿ᑖᦪᙠὃḄ᣸ᩭᑜᑖᡭᑖᑮᨬᑖ.᪷!"ὃ#ᔠᦋ☩'ᫀ
)*+ὃ,ὃḄ-.ᡂ01"ᑮ2ᑖ3ஹ5-+ஹ-ஹ-+ஹ-ஹ-+ஹ-ஹ8ᐳ8:஺<᯿=᝱ᑖ?-ᑣ
ABᔜDᦪᡠᓰGHᑖI3J%ஹ-஺LM3ஹ4%ஹ*O%ஹ-%ஹ3%•ὃᡂ0QᐭὃSᡂ0T
)UᑁḄὃ-.ᡂ0
W᯿GHXᣚZᑣ
ᑖIXᣚᑮ91-100,81-90,71-80,61-70,51-60ஹ41-50,31-40,21-30L:ᑖᦪ[\
ᑮὃḄᡂ0.]H^_.`aᓄ-.ᑖ365ᑖ
cJ+Ḅ-.ᑖᑖ?[\35869,ᑣcaᓄḄ-.ᡂ0d5+.5ᓝḄXᣚᑖ[\36170,fgcaᓄḄXᣚᑖ3JhcaᓄḄXᣚᑖ35o_-,-,k5Pdd."J.Sf50lmnᐭcaᓄoᑖᡂ0367.1
`᪥"8qᐳ2000D
3r"8ᔠᳮ⌱uvW!
wx:⌱ὃyz{
ᐸ,ᱥᳮὃ-.ᡂ0~1=᝱ᑖ?5~5i
_aᙠὃ,ᱥᳮ-.ᑖ384ᑖ
+,ᐸᡠᙠ-.ᑖᑖ?[\38293,k_XᣚḄᱥᳮᡂii
kᱥᳮ-.ᑖᙠ[\'2&OḄDᦪ2
ᢥ"ὃᦋ☩'ᫀ
1ᐰḕὃ,4D
⊤4D,ᡂ0ᙠ[\OḄDᦪ
k,ᑖ?ᑡᦪ.▬~’#ᑣ-ீ<+⁂-2ீீ+2#=஺,4,-.3ீீ+3=0,9"22.10ᑖ᝞
l┵P-/BCD,P/☢/BCD,¡☢/BCD3¢£
ZB=3,/P=4,EPDḄ,¤
AE1PC.

5(1)±²A஺Ḅj.(2)MU²BCFa_BM=1,±d☢!M-PD—AḄ³´8.µὃ·ᫀaஹ⌱º⚪¼½⚪ᐳ125⚪¿5⚪5ᑖᐳ60ᑖ஺ᙠ¿5⚪tuḄfv⌱⚗qÁᨵa⚗QÃᔠ⚪Å⌕±Ḅ஺1ஹDூÈ᪆௃o§᪷ᢚÌÍᑨÏ¿v⌱⚗Ðᑮ·ᫀ.ூÑÈ௃ᵫL.ᨴᦈᐭḄ᩽U90-30=60,ᦑ⌱⚗Ax×112ᨴØḄᑭÚᑖ¤U20,30,20,10,30,30,60,40,30,30,50,30,7ᨴØḄᑭÚᨬ£ᦑ⌱⚗Bx×᧕±ÐÜᑭÚU3800ᐗÝᦪU30,qXᦪU30,ᦑ⌱⚗Cx⌱⚗D┯ß.à¼D.ூ_á௃½⚪ὃâãᢚäᙠὃâåæḄᳮȯç;ᵨ¯ç.2ஹBூÈ᪆௃ᵫéoᚖo±Ðᑣ஺=0ᡈ஺=3,ê᪷ᐙ⌕ᩩìḄᑨík+ᓽL±È.ூÑÈ௃ᵫ⚪ä“ðax+2y-1=0o(a+1)x-2ay+1=0ᚖo”ò!]“(4+1)+2*(—2õ=0,ÈÐ஺=0ᡈ஺=3,ᡠE“o6+2y-1=0o(E+1÷a2Ṻ+1=0ᚖoQ“஺=3”Ḅù⌕ᐙᑖᩩìᦑ⌱Eூ_á௃½⚪ú⌕ὃâãéoḄXûᐵý9ù⌕ᐙᑖᩩìḄᑨíᐸqÈ·qᑭᵨéoḄXûᐵý±Ð஺Ḅ8þÿ
ᐙ⌕ᩩḄᑨḄᐵḼὃᳮẠ⚪.3ஹC

6ூ᪆௃AJᔲ)⚪*ᔲᩩ+ᔲ,ᦑA┯.BJᵫ01ᳮ234ᐵ56ᑨ7B┯.CJ6ᑨ7ᐸ⌮ᔲ)⚪Ḅ:ᎷC0<.DJ᪷>?@ᦪḄឋCᑨ7D┯.ூD௃EAJ“Ga>l,ᑣa>1”Ḅᔲ)⚪“Ga«1,I!Ia2«l”
ᦑA┯.BJᙠL4>Boa>b=2RsinA>2RsinB,ᦑ“4>B”“sin/>sinB”ᡂNḄO⌕ᐙᑖᩩᦑB┯.ᐔ7C,CJ“GtanaHl,ᑣaw_"0“G஺=Tᑣtana=l”
ᦑc0<.44DJᵫU@ᦪV=W஻(“<0)ᙠ(0
+8)⌴\ᦑD┯.ᦑ⌱ECூ^_௃ὃᑨ7)⚪Ḅ:ᎷẠ⚪.4ஹDூ᪆௃ᐜᳮ⚪aᯠc᪷>⚪adNe☢ghijᙠᑭᵨm4@ᦪḄnopqrstuᐝ᧡xᑖuᐝḄᜳ4ᓽ{|}4ᓽ6~ᑮ0<⌱⚗.ூD௃Eᵫ⚪a6stuᐝᚖᜳ4᧡xᑖuᐝᚖᜳ40,ᑣa-pᓽstuᐝ᧡xᑖuᐝḄᜳ4ᓽ{|}4i3r᝞e☢ghijEÁ!]tana=—=1.6,tanP=———=0.66,1010tan(a-P)=tana-tanÈ=L6-0.66
0.457.1+tan<^*tanB1+1.6x0.66V0.455<0.457<0.461,

7pḄᜧᐗ6000.ᦑ⌱Eூ^_௃⚪ὃᑭᵨm4@ᦪ▭⚪Ḅᵨ42Ḅ0ᑗ¡ὃ¢ᓄ¤¥ᦪ¦d§¤¥¨©ᦪ¦qL᫏⚪.5ஹAூ
᪆௃ᑭᵨ«ᦪḄ◀qᓄZ,®~Z¯°Ḅᙶ᪗ᵫ³ᑨ7¯°^ᡠᙠµ▲.ூ
௃22Ð1+i•1=·="¹º0=1+

»¯°Ḅ^Ḅᙶ᪗",1½¾¿Tµ▲.ᦑ⌱EA.ூ^_௃À⚪Á⌕ὃ«ᦪ◀qὃ«ᦪ¯°^ᡠᙠµ▲Ạ⚪.6ஹCூ
᪆௃জ^஺ÃÄ*Ḅ^Æjᡂ¨ᙊÈÉÊ^Ḅ!ᙊËMN,ᑭᵨËÌ¡6~,ÍঝÏPᙠAÐᡈ141CÒ0P☢ACCAᡠᡂ4NOA஺ÐᡈNDCOḄ0ᑗÓÔᨬÀÏPᙠ஺ÒQP☢ACCAᡠᡂ4111111311NOR஺Ḅ0ᑗÓÖᨬᜧ6~0ᑗÓ×ÓÙÚ,᝞ÍঞPÐx,y,1,ᑣx2+y2+1=3,ᓽX2+*=2,6~DPᙠcஹÜÝஹÞ☢ÞḄ0ᢗàÌᓽ6®ráâ☢ÞḄ0ᢗàÌãä2.ூ
௃᝞iEজ┯åæ?PyDP2-DD=-12=ᡂ^஺ÃÄᵨḄ^Æjᡂ¨JᙊÈÉÊÖḄ11FTTᙊËMN,Ìã_-2n•/=ᙠᐔÍ442ঝ0<æ☢AOC"☢ACB,ᡠ¨^POçᙠ☢¯4ACÞèÏPᙠAÐᡈCéÒ0P☢ACCA111111111ᡠᡂ4NZM஺ÐᡈNOC஺éḄ0ᑗÓêᨬÀÐ஺ë☢☢¯4Ḅ}^éÏÆᙠ஺Ò0P☢ACCA44C111

8ᡠᡂ4NO஺஺Ḅ0ᑗÓ2ìᡠ¨0ᑗÓ×ÓÙ|î,0|ঞ0<PÐx,y,D,IïðX2+'2+1=3,ᓽX2+y2=2,OPᙠcஹÜÝஹÞ☢ÞḄ0ᢗàÌᑖñ02+1,Ðiy~+1+A-+1ஹ"x2+l,0+",ᡠ¨áâ☢ÞḄ0ᢗàÌãä2!2+1+Jx2+1+0---------+⊟ᔆ6ᡝ,Ïö÷ÏPᙠ஺ðÒ×øù.ಟEC.ூ௃⚪¨)⚪Ḅ:Ꮇᑨ7ûüὃýþ⚪ஹ☢4ஹ0ᢗàøno^ÿᔠឋ⚪.7ஹDூ
᪆௃⚪ᑖ᪆ᵫ⊈,☢a,//,/Za,ᡠ///a,n,☢P,ᡠ஻/஺ᵫm,n☢⊈☢a,஻!☢p,ᑣa#$%&ᔲᑣ(a//pᑣ)*⊈//஻#☢+,ᡠa.B%&&-/,ᦑ⌱D.ὃ1☢#☢Ḅ34ᐵ6☢Ḅ78ឋ9:ᐸ)<.8ஹDூ
᪆௃ᙠ>?ᦪᑡB஺CDᑭᵨGHIJKL⚗NOa=2n-9,PQb=3=3RS/Ðx=3TᦪḄḄᓫVឋn««a2n-92x-9nIHW஻=5YbZᨬᜧᓽIJK^_.nூ
௃

9QÛ3a+a+a-9,ᡠ3a=9,ᓽa=3,Ý஺=_§,ᡠ*+,d=2,ᡠa=2“89,ᓽb=-----
Û567662n"2஻-93ßᦪ/(X)=_____'ᙠX<4.5T,ᓫá⌴ã,ä/(x)<஺ᙠx>4.5T,ᓫá⌴ã'ä/(x)ுo.ᡠᦪᑡ"ç2x-93nḄᨬᜧéb,äb=”3,ᡠᦪᑡêbçḄᨬᜧé3.551nᦑ⌱:D.ூ¤î௃⚪ὃñòᦪᑡḄó⚗õö
ὃñᦪᑡ÷ßᦪḄᐵù,úûßᦪᓫáឋẆþᦪᑡᨬéÿ⚪
᧕.9ஹBூ᪆௃᪷ᑮ┵
┵᪀⌼!"
#$ᑮ┵Ḅ᜜'ᳫᓽ!"Ḅ᜜'ᳫ
*+ᑮ᜜'ᳫḄ,-
.᜜'ᳫḄ☢012.3ᨬ56.ூ7௃ᵫ9:ᩩ<=
>┵Ḅ?@⚔BC#!"ABCD-ABCOḄ?@⚔B
ᓽ┵4-CB0,L111111!"4BCD—4BC0Ḅ!ஹOஹPᑖR2,a,b,.•.>┵Ḅ᜜'ᳫᓽ!"ABCD-ABCDḄ᜜'ᳫ,LᳫWR=X2+஺2+[=.+a2+b2,22(]4+c?2+.2¥()21ᐔ...┵᜜'ᳫ⊤☢04ᐔ|J|=ᐔ4+a2+b2=57i(a-1>+,ூ2Jߟ121L.•.nLona=1,b=p
┵᜜'ᳫḄ⊤☢0qᨬ56ᐔ.2TrB.ூBs௃(1)tᐵ#᜜'ᳫḄv⚪Ḅᐵw$ᢕy᜜'ḄᱯB
ᓽᳫ{ᑮ|☢Ḅ⚔BḄ}~#ᳫḄ,-
p⌕ᙊ☢ᡲᵨ.(2)!"Ḅ᜜'ᳫḄ-ᓽ!"Ḅ
#ᱯḄ┵
ᙠẆᐸ᜜'ᳫḄv⚪p2ὃ⇋

10`᪀⌼cdeL`cdeḄ᜜ᳫᳫᩭẆjkl┵Ḅ᜜nᳫḄo⚪.10ஹDூ
᪆௃ᑭᵨpqNOrstktTᦪḄ78ᐵ6J*COS2a,uᑭᵨvwtḄxyNOzᐭJ|ᓽI.ூ
௃3}tan~ᐔ+cc=,43ᵫpqNOIK,tana=sina=,coset43ᓽsma=-_cosoc,4}sin2a+cos2a=1,16ᡠCOS2a=_,25ᵫvwtḄxyNOIK3sin2a=2sinacosot=-_cos2a,ᡠsin2a=-fx_2422525,ᦑ⌱:Dூ௃8⚪ὃpqNOஹstktTᦪḄ78ᐵ6rvwtḄxyNO;ὃJ|rHḄᔠᵨ;D᫏⚪.11ஹAூ
᪆௃ᵫke᝞eᔠe!ᑖᳫᑖᙊᳫḄ1,ᙊḄ☢1,1.uᵫᳫ#ᙊeNOJ|.ூ
௃ᵫke᝞

11ᔠ
,ᑖ,ᳫ
,ᑖᙊ,,ᳫḄ,-1,ᙊḄ☢,-1,P1.145ᐔ!IḄ0V=-x—ᐔX13+ᐔX12xl=---233ᦑ⌱¨A.ூBs௃©⚪ª⌕ὃ«ᵫ.☢0ஹ0
ᐵw$ᵫ¬
®ᙠὃ«¯°±:²Ḅᳮ´µ¶·.12ஹCூ0᪆௃✌ᐜ.3ºᦪḄ¼½¾
ᐸºᦪ¿2ᵫy=Ḅ¿ÁxÂᔣÄ·Å1@ᓫC+ᑮ
Çy=51ogJxiXX᜻ºᦪ
ᓽ2ᑮºᦪ¿ᐵ#(-1,0)Ë
ᓽ2᣸◀AஹD,Î᪷X>opºᦪ6
᣸◀8,ᓽ2.ூ30௃...Ð51ogJx+llḄ¼½¾{x|x஺-1},X+151|x|0gᐸ¿2ᵫy=’Ḅ¿ÁxÂᔣÄ·Å1@ᓫC+ᑮ
X_v=51ogÖx|᜻ºᦪ,¿ᐵ#BË
X...ᱏ51og,lx+llḄ¿ᐵ#B(-1,0)ᡂÙ{Ë.x+12᣸◀AஹD⚗.nx>0p
51oglx+11
ᔧ⚗Þßà.y=Û>Q>X+1ᦑ⌱¨CூBs௃©⚪ὃ«ºᦪḄឋâã²äå
æ᪷?@⌱ç⚗ᩭᑨêëḄºᦪឋâ
ᓽ2᣸◀@ÞìḄ⌱⚗
í#Ù᫏⚪.ïஹðñ⚪¨©⚪ᐳ45⚪
ó5⚪5ᑖ
ᐳ20ᑖ஺13ஹ1ூ0᪆௃᪷·☢ᔣôõḄ¼½ᐜᵫᙶ᪗.f|,Î᪷·☢ᔣôᦪô0¼½.f/TÛûü,᪷ýþᐭᓽ
IbI.ூ30௃£=(Ḅ,1),ᑣ=«)+12=2,

12☢ᔣW,ᔉḄᜳt2,ᑣᵫ☢ᔣᦪ¢£IK=᪷¥☢ᔣ¦ḄJ§IH4=■2£©+1=0,zᐭIKJ_2/d0=1,|K«=1,ᦑ¬ᫀ1.ூ1¯௃8⚪ὃ±☢ᔣ¦ḄJ§:²ᓫ³ᵨ☢ᔣᦪḄ¢£:7Ạ⚪.114ஹ3ூ|᪆௃᪷¥/(x+2)=—/(x)IKTᦪ/(x)µ4ᕜ·ḄTᦪ¸g(x)-2*+2=k,IJg(x)=2x—l,¹QIK/(x)=g(x)=2x—1,/(log12)=-/(2-log3)zᐭ|᪆OᓽIJ|.22ூº|௃¸g(x)-2*+2=k,»[jg(x)=k+2*—2,ᵫg[g(x)-2x+2]=1,»¼]g(k)=l,ᡠg(k)=k+2k-2=1,|Kk=l,ᡠ9(x)=2x—1,ᵫxe[o,l]Y,/(x)=g(x),ᡠxehj]Y/(x)=2x-l.ᵫ/(x+2)=-/(x),ᡠ/(x+4)=-/(x+2)=/(x),ᡠTᦪ/(X)µ4ᕜ·ḄTᦪ/(log12)=/(log3+log4)=/(log3+2)=/(log3-2),22222Tᦪ/(x)᜻Tᦪᡠ/(log12)=—/(2—log3)=-[22-1஺¾-1]=gᦑ¬ᫀ-J3ூ1¯௃

13*⚪,⌕ὃ/0ᣚᐗ34ᦪ6᪆8ஹ4ᦪḄ᜻Ꮤឋஹᕜ>ឋḄ?ᵨABCD᫏⚪.15ஹ$ூ0᪆௃ᑖ᪆HIO(a,0),ᙊOḄKLMr(NO)AOP=t(Pᦪ)AᑭᵨRSḄTᑗV8AWᔠYABMZLḄᙊ[ᙊx?+22(y-2)\1]᜜ᑗ._NAPBḄᜧaឤMcdAᓽ
efgOPḄh.i6HIO(a,0),ᙊOḄKLMr(NO)AOP=t(Pᦪ)Aj!|22a-ra+rtanNOPA=------,tanZ.OPB=------,tta+ra-r.,.tanZAPB="y_2rt,ai-r2ti+ai-n1+----------t2HJ/2+4=1+1],ai=(%1)2-4,.-.tanZAPB=2rt=2t£2+2-3"-3+2rVZAPBḄᜧaឤMcdAt=GIOPI=GᦑnᫀMpqrH*⚪ὃ/ᙊ[ᙊḄstᐵvAὃ/RSḄTᑗV8Aὃ/wxḄyz{|ABCD᫏⚪.[16^22,4)ூ0᪆௃PM,᧕M4,
~Ḅ☢M—PM,ὡ4•A|..21pAI7-
|AB|="5=4Je|”|ḄdA
Ḅ.ூ30௃᝞A᧕I4ᜐ,828,48,ᡠY~PAM3Ḅ☢M:]_~PAM8Ḅ☢MSPAM☢Ḅ¡AᡠY:ᵭ-MA,|ᡠY£Ḅ¤411\PM\\PM\d\PMf

14W¿ÀᨬÁYᑁᓾᨬÁÄ1P(x,y),ᑣ|PM|=J(x-3)2+y2=Jx2-6x+9+4x='X2—2x+9,ᡠWx=lYA||=VA»!|.=4$r=2JTAPMtin.$ெmmÈV8W1P(x,y)ḄËᙶ᪗x-+ooYÎY|—+8,ÐYMB|-4,}ÑḼ|PM|ḄÓᜧQÓᜧᡠÔÕḄZÖس2Ù4).ᦑ¬ᫀ³2⊟4).ூ1¯௃8⚪ὃ#ᙊḄ34ᐵ6Ḅ³ᵨὃÛᱥ!ḄÝ1ᑮ¢1ḄßàḄJ§ὃáâḄãJ|D᫏⚪.kஹ|¬⚪ᐳ70ᑖ஺|¬³ᑏ*ᦻçèéஹêé`ëᡈíîï஺17ஹপêéñ|᪆ò(2)11-4ab|>2la-bl.ூ|᪆௃⚪ᑖ᪆প✌ᐜJKõᔠM,ᯠ÷^ᔠøùÖú>OḄឋ9ᓽIêK⚪DḄ^<ò(2)ᑭᵨdû?Ḅd§IêK|1.4ü|>2þ%⚪᪆(I)/(x)=|x-1|-|x+2|,|f3>x4—2I11Iᑣf(x)=-2

15ab1111111ᡠYAL+IS|a|+|b||2=(1-8ajb+16a2b2)-4(a2-2ajb+Jb2)=4(a2-1)(b2-1)>0.ᡠYA|1-4ab|>2|a-b|.fa-218ஹ(1)ீ»(2)c=0ᡈc=4.[8=9ூ6᪆௃(1)e(x),ᵫA(-1)=0,/(-1)=0,ÀÁ“AÃÄ6Aᓽ
eWÅ;(2)᪷È4ᦪḄᓫÊËÌA᩽dAÎe4ᦪᙠ4,1]ḄÐAᓽ
6.ூi6௃(1)f'(x)=3x2+Qax+b,ᵫ⚪ÑÒ3—1)=0(3-64+6=0[Óߟ1)=01-1+3a-/?+a2=0A6("=1(×Ø)ᡈW=2.[0=3[b=9(2)Ú஺=2|=9ÜAfr(x)=3x2+12x+9=3(x+3)(x+1)ᦑÃÄ/'(x)=0ᨵ᪷A᪷MÞ=-3ᡈx=-1,X(-00,-3)-3(-3,-1)-1(-1,+00)âপ+0-0+/(X)/᩽ᜧd᩽adᵫ⊤
àAÚx=-1ÜA/পᨵ᩽ad0.ᵫã⊤
Ò/WḄä4ᦪËÌM(-31),⌴æËÌM(ç3),(-1.+OO).éM/H)=0,/(-3)=4./(-1)=0,/(0)=4,/প=20.ᵫᦪWᔠ
c=0ᡈc=4.

16ூ௃⚪ὃ!ᦪḄ$%&'(ᵨ*ᦪḄ+,-⚪Ḅᐵ/&ᙠὃ123,ஹ567ᳮ9ᦪ:;<=>?@A᫏⚪.19ஹ(1)[4,+8)»ফ(e,+8).ூ᪆௃(1)✌ᐜF*ᦪ/Q)G!᪷I*ᦪJᙠKL᩽ᜧO9KL᩽POGQaḄROTফ✌ᐜGQ/G)+/(\)ḄOV᪷I/G)+/(*)<2-6eGQWᦪaḄROT.ூX௃(1)*ᦪ/G)ḄY'Z[-(0A+8),2+2஺6“2x2—6ax+2aX2XX2]/(x)ᨵ_L᩽Oᑣ`a2x2-6ax+2a=0KYᨵ_LbcḄd᪷e[x9x,gx0hᡠᓄ+x=3஻>0[Ayxx=a>012—klmñxò=2ñnopq-r2ò,X2

17Ú00,1Úxo,2ᦑXô᩽ᜧdqAXô᩽adqA12/ஹ(4)ᦑõᦪ3ḄdôA+8.6}(2)ᵫ(1)ÒAX+X=3(7,XX=QA1212ᑣ/(x)+/(x)=l+2x-e6alnx+l+2x6aInx121]-122~2,=2+2(x+x)-2a(x,+X,)_6Q஺xx,l2XX—1212=2+2x3a-2a"-6aIna=2-6aIna,aᵫf(x)+/(x)<2-6e,2-6alna<2-6e,ᓽalna>e,12ög(a)=alna[a>4],ὃ⇋ᑮg(e)=elne=e,(9jᡠYaInaுe
ᓄM9(a)>g(e),gA(a)=l+lnaுl+lnf>l+ln1=O,9eᡠYúᓝᾙA+HãMæ4ᦪA6Jᵫg(a)>g(e),a>e,ᦑõᦪaḄdô(e,+8).ூqr௃*⚪,⌕ὃ/0ᑭᵨýᦪẆÿᦪḄ᩽ᓫឋᑭᵨᦪᓫឋ⚪.120ஹ(1)a=_(2)!᪆"2஻ூ!᪆௃(1)ᑭᵨS(aḄᐵ+ᓽ-.!.

18(2)ᑭᵨt⚗G9vᓽxG.ூX௃QW1(1)y஻=1la=2-22cn+2n>2na=2-9{•y”=1l|ᡂ~=12஻+i+1J1+—II1+___I/ᓝN++]N1"IT"(2n2"+l).-.T=2nK1+1-1++1K1]«(2+122+122+123+12n+l2nl+lJ+=2(1_1>2_22<[32n+l+1732n+l+13ூ௃⚪⌕ὃSaḄᐵஹt⚗G9v?@Ạ⚪.nn21ஹ(1)(i)83.;(ii)272.(2)᪆.ூ᪆௃(1)᪷IᑖᦪᑖᣚᑖᔠᡠᓽxGPᣚḄᱥᳮᡂ᪷Id᝱ᑖ(60)ᔠd᝱ᑖḄFឋᓽxG(`ᑖᑁḄᭆ᪷᳛I¤ᦪᓽxGᙠ¥Ḅᦪ஺(2)᪷Iᔜc§ᦪᡠᓰ©xªᙠ[4,8«ᑁḄᭆ᳛[:ᵫ⚗ᑖᓽxG®ᑖᑡᔜ°±²Ḅᭆ᳛ᔠᦪ:³´Ḅµ¶ᓽxG஺ூX௃(1)(i)ePᣚḄᱥᳮc§ᑖ[_P0--Z-S1Gp82.64.PᣚḄᱥᳮᡂ[83ᑖ;

19piioº[ᱥᳮὃᑖ»¼d᝱ᑖp60,oᡠp72ீ<84=p6஺<

2022ஹ(1)ADḄTU4(2)3ூ!᪆௃(1)ᑖXYA5,AP,AOᡠᙠ`aUx,y,zefg᝞iᡠjḄkl`mᙶ᪗+Apqz,rAO=f,᪷uᔣwᚖ`ᐵ+yz{ᑮ}ᫀ.(2)yz☢DMPḄᔣw?=(1,1,1),=(3,0,0)U☢PD4Ḅpᔣwyzᔣwᜳm{ᑮ}ᫀ.ூ!௃(1)ᑖXYA8,AP,ADᡠᙠ`aUx,y,zefg᝞iᡠjḄkl`mᙶ᪗+A-z.(CrAO=r,ᑣA(0,0,0),f||,C(3,0,/),P(0,4,0),ᡠY஻=(0,2,)U=(3,-4/).,UAE_LPC,ᡠ^H4ETC=0,ᓽ16-ᡈ=0,!{f=4,ᡠYADḄTU4.(2)@BM=1,ᡠYM(3,0,1),P(0,4,0),஺(0,0,4),ᦑ=(0,4,-4),"DM=(3,0,-3).fw±(4y-4z-0,rE=(x,y,z)U☢஺MPḄᔣw"—ᓽ<.[n±DM,[3x-3z=0,¡z=1,!{y=1,x=1,ᡠY]=(111)U☢0M¢Ḅpᔣw.£ᯠAB=(3,0,0)U☢PDAḄpᔣwn-AB3nᑣCOSீ¦7tB>=r=_________=©,

21\\AB\3J+1+1Vui-«¬☢mM-P஺-AḄ®Ug.3

22ூ¯௃°⚪ὃ²³g´µ¶·Ḅa¸T¹¬☢mºᙠὃ²P»Ḅyz¼½kl¾¿¼½.