2023年河南省示范高考冲刺数学模拟试题含解析

《2023年河南省示范高考冲刺数学模拟试题含解析》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。

2023
ὃᦪᔁ⚗1.ᔁὃḄஹὃஹὃ!"ᑏᙠ⚪ᔁ⚪ᓱ'஺ᵨ2B*+ᔁ,-B".ᙠ⚪ᓱ/0!1'஺ᩩ3ṹ56ᙠ⚪ᓱ7'8"ᩩ3ṹ56ᜐ"o2.=⌱?⚪@⌱ABC⚪ᫀEᵨ2B*+F⚪ᓱ'G0⚪H⌱⚗ḄᫀIJK.LM᝞◤ᦋQᵨRSTUVEW⌱.ᐸYᫀ஺ᫀZ[ᙠ⚪ᔁ'஺3.\⌱?⚪]ᵨL⁐_`Ḅa+ᡈc_+=ᫀ]ᑏᙠ⚪ᓱᔜ⚪Hᢣfghᑁ/0!1'M᝞◤ᦋQᐜᑜᣵmᩭḄᫀᯠEWᑏ'pᫀMZqᵨ*+.ᦋr஺Zᢥt'⌕v=wᦔ஺4.ὃ]y⚪ᓱḄ᦮{஺ὃ|}E~ᔁ⚪ᓱ஺ஹ⌱?⚪⚪ᐳ12C⚪BC⚪5ᑖᐳ60ᑖ஺ᙠBC⚪AḄ⌱⚗ᨵ⚗ᔠ⚪H⌕vḄ஺1.᝞ᙠ☢1,
2ḄKP☢ᑁKᑣ┵஺3஺஺A.2B.3C.4D.52.ᐗᦪᩋᩲḄᦪ℉£¤¥¦ℳ¨©ªᦪḄ«¬ᐸᐵ®“°±”Ḅ³⚪°´µ±¶µ°·¸±·¹°±º·»¼.½¾®ᐸ¿ÀḄÁÂÃ஺=32,b=12,ᑣÄAḄ஻=/ᐭa,Z)//஻/

1A.3B.4C.5D.6f}x3./x
fÇᙠ0,+“
'ḄÈÉᦪÊËÌ/x
ḄÍÉᦪÎᙠÊÏÐx,ᑣ½ᑡZ¼ÒᡂÔḄÕJ\
A./(2)<2/(1)B.3/34/4C.2஻3)<3஻4)D.3஻2)<2஻3)4.Ö×1,ØÙ®ḄÚÁ஺ᦇÜ+Þßàáᡠ⊤äḄåæÕçA.èᙠyè'ḄéᙊB.èᙠXè'Ḅéᙊc.ëèᙠyè'ḄìåæD.ëèᙠxè'Ḅìåæ5.íî☢¼Ὺð883Ḅ┵P-A5CḄñ᝞ᡠäòñḄ¶C83ᐰ¼ᑣÕçQA.PA.PB,PC¶¶ᚖðB.┵õ-ABCḄö÷§C.|PA|=|õ8|=|PC|=CD.┵õ-A8cḄú☢÷366.íîûᦪzËÌzl+i
=l—iiüᦪᓫ!çᑣzḄüþ
A.-iB.iC.1D.-1227.íîìåæ஺—=1஺080
Ḅᯖᑖoᙶ᪗Pᙠ▲ḄPO,p6ᑖCḄM,N,ᵨ=3!"#NgN=60,ᑣḄ%:᳛9i?ᦪᓫB,=z-i,Jz=()14-21A.1+iB.-1+iC.l-2iD.l+2i9.&஻?஻)*ᩩ,-Ḅ,4)*/,-Ḅ0☢,2ᑡ4⚪678Ḅ)9

2A.
஺a஻஺B.!_La,஻2_L஻ᑣ஻_LaC.஻zl.a,!஻஻ᑣ஻J_aD.a_L஻/%_La,ᑣm///?+]x>010.234ᦪ/x=<'8᜻4ᦪᑣg/-lḄ=>gx
,x<0A.-10B.-9C.-7D.111.A⌴CḄDEᦪᑡG4HḄI஻⚗K>s“N3§4=P3%-10%+3஺2=0,ᑣ%=QA.9B.27C.81D.-312.i>UᦪᓫWXYZ[\]^_Ḅ`a>1,bcde☢ᑁhZ⊤kdᦪz,ᑣ⊤kdᦪlḄh8A.EB.FC.GD.Hmஹop⚪rs⚪ᐳ4\⚪u\⚪5ᑖᐳ20ᑖ஺2Y13.3x-l---1ḄxycḄzᦪ⚗>________.lxJ14.ᙠAABCcᑁ|AஹBஹCḄ}`aᑖ~>aஹbஹc,23a2-c2=2b>sinAcosC=3cosAsinC,ᑣb-.15.ᙠABCca=3,b=2#B=2A,ᑣcosA=.16.WAஹBஹC\uWᵭᵭᐸc\Ḅᵭᐸc\Ḅ8DḄᑣḄ5Wᵭcាᨵ2ᵭA\Ḅᭆ᳛8.ᵨᦪ¡¢£ஹ¤£⚪rᐳ70ᑖ஺¤£¥ᑏᦻ¡¨©ஹª©«¬ᡈ®¯°±஺17.12ᑖ᝞b,³´┵P—ABCDce☢e☢ABC஺,·☢A8CO>¹_.AB//CO.AO=2DC=26,A4DPAABDᙳ>]|_.£¼>A஺ḄchG>&PAD¾¿,ACPÀÁhÂ.

3(1)IJ:G/7//0☢PDC¼ফIGM┵G-PCDḄOP.18.(12ᑖ)=>Sᦪf(x)=|x+2|+|x—3|.(1)T,UV/(x)43x-2¼13(2)Sᦪf(x)ᨬXYZ#2a+30=M(a>0,8>0),I------+ḄᨬXY.2a+lb+l19.(12ᑖ)=>Sᦪ/(x)=a(x-lnx)+x2-2x.(1)a=-2e(e]ᯠ_ᦪḄ`ᦪ)aISᦪ/(x)Ḅ᩽Yc(2)/'(dy=/(x)ḄeSᦪf஺>0,%>x>0a,IJh/(k)/ஹlτḄ/⁚ᵫ10⍝⚪¡ᡂᐸ66⍝A¤⚪ஹ4⍝8¤⚪¥ὅ◤¨10⍝⚪¡6©ª«¬3⍝®¯ᨵᵬ-¥²³⁚Ḅ´.(1)Iᵬ-µ¶«ᑮ2⍝8¤⚪Ḅᭆ᳛c23(2)ᵬ-®_¸⍝4¤⚪Ḅᭆ᳛¹)®_¸⍝8¤⚪Ḅᭆ᳛¹)D#ᔜ⚪®_»ᔲ½¾¿À.¯=>ᵬ-35ា«62⍝A¤⚪1⍝8¤⚪ᵨX⊤Äᵬ-®_⚪¡Ḅ/ᦪI©ªÅÆXḄᑖÇᑡᦪÈÉ.21.(12ᑖ)ᙠ᝞ËᡠÄḄÍÎO6pÏÐA3஺ÑÐ0☢0☢ABC஺EF//AB,ZBAF=90a,AD=2,AB=AF=2EF=2,ÒᙠMOÒ.

4(1)Ò)OFḄ6IÓ☢8E»CÒᡠᡂÔḄÕÖYh(2)D☢Ô஺-AP-CḄ7ÖY"IÒÒḄØÙ.322.(10ᑖ)=>Gr0sin[e+Ú]=ÜCrl-fcos'(஺¥ᦪ).t஺᩽xÝḄ7ÞÝI6J2-sin᜛᩽ÝàÀ᩽ᙶ᪗á#*âᙶ᪗á6¬½-ḄØÙᓫB.(1)IGḄÔᙶ᪗ãäC,Ḅãäᓄ᩽ᙶ᪗ãäc(2)&C»x,ÝM,N*#"Ḅ6P.æOP»G஺2Ò஺*IÒQ*çḄè%.¥ὃ®ᫀஹ⌱ì⚪hí⚪ᐳ12X⚪¸X⚪5ᑖᐳ60ᑖ஺ᙠ¸X⚪ïðḄp/⌱⚗6òᨵ⚗)óᔠ⚪¡⌕IḄ஺1.Aூ
᪆௃᪷÷ÍÎOᑖ᪆7ùËúùËḄÐûüᔠ⚪ý6Ḅᦪ÷þÿ
.ூ
௃ᵫḄឋ┵P-38Ḅ21Ḅᐸ☢!-xlx2=l,Ḅ☢!"1+1=2,2ᦑ⌱%A.ூ'(௃*⚪ὃ-./0Ḅ☢!12Ḅᐵ45ᑖ᪆
Ḅ8ὃ-9:;<=>?=>@ABẠ⚪.2.Bூ
᪆௃ᑖ᪆%᪷EFGHḄ4=஺+@NOPQR“ḄTUVWXYᦪᑡ\YV]᪷EFGHḄ^=3N,22OPQR஺ḄTUVWXYᦪᑡ\Y2,᪷EOPQRaᑮḄ">ḄTḄᜧefQRḄPᦪᓽN.

5h1:j᡻lm஻PQRoaḄTjᨵa„,j᡻lm஻PQRo^ḄTjᨵqrIJᨵ=12x2".sஹ320<12x2%ᑣᨵ(3<-,ᦑ78n>4,ᦑ⌱B.'(%*⚪wHḄQR᪀ᦪᑡy⚗Ḅ{ᔠ@AH᫏⚪1⚪o~FGHⅾḄᦪᑡᐵY᝞⚗XYᦪᑡஹXᦪᑡḄᔲᦪᑡḄ஻ஹ஻⚗!X.3.Dூ
᪆௃᪷Eᙠ0,+஺Ḅᦪ2?ᨵNa/'xÍ0,᪀ᦪgx=9,ᑭᵨᦪNaJপXgx0,+8ḄᦪNaḄ⌱⚗.ூ
௃VXᙠ0,+Ḅᦪᦑrxzo.5¡ᨵ,ᦑ/'x#0,ᦑ/'xÍ0,ᡠ£/¤¥☜6.sg(x)=ᑣg[x)=2ு0,ᦑgxᙠ0,+>ᦪᡠ£gবுgফᓽ?ª«!,᦮ᳮaᑮ2/3Í3/2.ᦑ⌱%D.ூ'(௃*⚪ὃ-ᦪᙠᦪᓫ°ឋHḄUᵨV±ᙢᦪḄᜧeY³N᪷EᦪḄᱯ'⚪µH¶
Ḅ·ᦪᦪḄᐵ᪀ᦪ*⚪@AH᫏⚪.4.Cூ
᪆௃22᪷Eᩩ¹ºGl-Zf+»2=\V1.ᓽ/-----J=],ᔠ¼½¾Ḅ᪗ÀºGḄᱯÁᑨý¾ḄÄÅ.

6ூh1௃1%'k>l,.l+k>0,*123*S-1>0,22ºG1—Af+y2=ÍV1,ᓽÎ^V
=1,⊤ÑÒÓᙠyÓḄ¼½¾ᦑ⌱C.ூ'(௃22*⚪ὃ-¼½¾Ḅ᪗ÀºGḄᱯÁÔEᩩ¹ÕÖḄ½¾ºGᓄ-----—=1ᐵ4.k2-lk+\5.Cூ1᪆௃᪷ENa┵P-4BCḄÊØᯠÚÛ?Na.ூh1௃1%᪷ENa┵Æ-ABCḄÊØ᝞ᡠÑᐸH஺45ḄH'☢ABC.114ᡠ£┵Æ-ABCḄ0!Vx-x2x2x2=V323.-.|AC|=|BC|=|PZ)|=2,|AB|=yj\ACf+\BCf=2V2,.♦.|OA|=|O8|=|DC|=0,/.IPA|=|PB|=|PC|=«+(N=6-,-\PAf+\PBf^\ABf,.-.PA,PBÈN=ᚖÊᓽPA,PB,PCÈN=ËËᚖÊS2?SPBA=2V2X2=2V2,SAPBC=SAPAC=IX^(V6)-lx2=V5..•┵P-ABCḄ☢!2Ì+26.ᦑḄC.ᦑ⌱%C.ூ'(௃

7s⚪ὃÑÒbÓÔÕÖb×Ø´┵Ḅ⊤☢ÙஹÚÙḄÛ¯Ü⚪Ýc᫏⚪.6.Dூ¤᪆௃᪷ãdᦪZäåᑭᵨdᦪḄ◀èéê2,ë᪷ãdᦪḄᭆìé¤.ூí¤௃î>dᦪZäåz(l+i)=l—i,j(1-ifᡠ×Z=——=/ஹ/~r=-I1+z(l+z)(l-z)ᡠ×zḄUð>—1.ᦑ⌱rD.ூhó௃s⚪ô⌕ὃÑdᦪḄᭆìØö¯ÓὃÑ÷ö¯é¤ḄøÝùẠ⚪.7.Dூ¤᪆௃s⍝⚪ᔠýþÿḄឋᳮᐵacḄ᳛ᓽ.ூ௃ᔠ⚪!"ᔠ#$%ឋ&ᑮPO=MO,(ὡ஺=8஺ᔠ+,-./%0ᑖ&+,-Pig203+,-ᔠNM4N=6()°,ᦑg=60°

8.7/-EMK;ᵨᳮ&ᑮF.M2+FM22(ᔠ=ᕜ=3|0ᕜ&|M|=a,|Mg|=3a,g=2c,FᐭHIJ&ᑮ/+9/N4°2=3஺2,ᔠ᳛RSe=£,ᓽ&Ve=£=Wᦑ⌱D.cia2ூ௃Z⍝⚪ὃ]^ᳮ#$%Ḅឋ_`a_.8.Aூ᪆௃ᑖ᪆e⚪fJgᦪRSḄᓄ2j=k+"ᑭᵨgᦪḄ+ᑣ;oVz.1+2/eᵫ⚪fᨵj=tN+=1—2i+i=l—i,ᦑz=l+i,ᦑ⌱A.l+2zxyeZ⚪ὃ]gᦪḄ+ᑣ;zgᦪᭆ|JḄᐳᱥgᦪẠ⚪.9.Cூ᪆௃ᙠAJ஺᜛ᡈ03eᙠBJ஻//aᡈ஻uaᙠCJᵫ%☢ᚖḄᑨᳮ&ᙠDJB03ᡈ=£.ூ௃f஻ᩩḄ%/Ḅ0☢!IeᙠAJm//a,ml113,ᑣa4ᡈ03ᦑA┯ᙠBJ஻mLn,ᑣ஻//஺ᡈ"ua,ᦑB┯ᙠCJ஻z_La,m//n,ᑣᵫ%☢ᚖḄᑨᳮ&஻_La,ᦑC¡¢ᙠDJaJ•¥ᑣ஻¥03ᡈ¦up,ᦑD┯.ᦑ⌱C.ூ௃Z⚪ὃ]¨⚪©ᎷḄᑨ«ὃ]¬J%%ஹ%☢ஹ☢☢Ḅ¯°ᐵ±Ạ²³J᫏⚪.10.Bூ᪆௃᪷¶ᑖ·¸ᦪ⊤ºᐜo&/(-1)Ḅ¿ᯠÁᔠ^(ÂḄ᜻Ꮤឋo&g(7(-D)Ḅ¿.ூ௃

9Y'+xx>0ᦪ/(Ü)=Þ'V᜻ᦪᡠ£/(V1)=V/(1)=V2,g(x),x<0g(/(-D)=g(-2)=f(-2)=-f(2)=-10.ᦑ⌱%Bூ'(௃*⚪á⌕ὃ-ᑖãᦪḄ1᪆äஹᑖãᦪᦪTὃ-ᦪᔠå;.ᙠὃ-æçḄè=>ᑖ᪆é⚪ஹ1fé⚪Ḅ=>.11.Aூ
᪆௃᪷EËWÖᩩ¹
ᦪᑡḄ\Y✌⚗ᓽaḄT.ூ
௃µXYᦪᑡÞ%ìḄ\Yq.ᵫ3a4—lOq+3஺2=0a%2-10q+3=0,1a4=3ᡈq=JS4>0.îᦪᑡÞ/ì⌴ᡠ£q=3.3(13")=ð,1a4=1,41-333ᦑ%=gx3,=9.ᦑ⌱%Aூ'(௃*⚪á⌕ὃ-XYᦪᑡḄy⚗\äᙠὃ-æçñòóôḄᳮ1õö÷ø.12.Cூ
᪆௃ᵫAᙠùø☢ᑁ'ZḄᙶ᪗ᡠ£z=-1+i,ᯠÚüz=-l+iýᐭÿᓄ
ᑮᐸḄ.Zூ
௃ᵫz=-l+i,ᡠ==i(-l—=G.z—1+zᦑ⌱Cூ௃⚪ὃḄᦪ!☢ᑁḄ$ᐵ&'ᦪḄ()'*+,Ạ⚪.

10tஹά⚪eZ⚪ᐳ4Ï⚪ÐÏ⚪5ᑖᐳ20ᑖ஺13.31ூ᪆௃ᵫt⚗ᳮᐸÔÕ&Ö⚗×&eØ2Ù—1ḄÔÕ&Ö⚗2¬+¥Ú-1Û"25-஺஺£-5,ᑣ—ḄÔÕJḄÜᦪ⚗2e3xÚTÞC+Ú—x=14,&.Úß7ூ௃e&=á1â25஺஺#N5,ᑣÚ3x-lÛä2-1ÛḄÔÕJḄÜᦪ⚗2e3xÚN᮱.2஺£=31.ᦑæᫀ2e31.ூxy௃Z⚪ὃ]t⚗ᳮᐸÔÕḄÖ⚗×oè⚗Ḅéᦪὃ]êÂ.14.4ூ᪆௃,:sinAcosC=3cosAsinC஻24.ð_Z>2h24-r2—/72᪷¶¡ᳮᳮ&eaJ஺=3xñt——xc,ᓽ2c2=2஻—஻lab2bca2-c2=2b:.b?=4b,.”#0•'"/?=4ᦑæᫀ2415.&3ூ᪆௃ᵫõ²ᑭᵨ¡ᳮtö/Ḅ¡¸ᦪ×ᓽo¿&.

11ூ௃ea=3,b=2,B=2A,a_b_bᵫ¡ᳮ&:sinAsinBIsinAcosA.,b2••cosA=----=-------=------.2a2x33ᦑæᫀ2⌭.3ூ௃Z⚪ø⌕ὃ]^¡ᳮtö/Ḅ¡¸ᦪ×ᙠ7/-JḄúᵨẠ⚪.s8016.------243ூ᪆௃Zûüýᦪ஻=3$=243,ាÿᨵ2
ᵭAᒹḄᦪ"=C.23=80,ᵫḄ5ᵭ
ា!ᨵ2
ᵭAḄᭆ᳛.ூ௃%&'()*Aஹ3ஹ஺-.ᵭ
/ᵭᐸ1Ḅ2ᵭᐸ1Ḅ2345ḄḄ5ᵭ
6ᦪ“=35=243,Ḅ5ᵭ
ា!ᨵ2
ᵭAᒹḄᦪ&w=C^.23=80,Ḅ5ᵭ
ា!ᨵ2
ᵭAḄᭆ᳛3஻=:=;.n243QHᦑ=ᫀ?&;.243ூ௃⚪ὃBᭆ᳛ḄCὃBDᐺᭆFஹ᣸ᑡIᔠ4ẠLMὃBNO%PQ*᫏⚪.-ஹ%=⚪&ᐳ70ᑖ஺%=UᑏᦻXYZஹ[Z\]ᡈ_O`a஺17.(1)b%᪆(2)d2ூ᪆௃(1)e(1)fgAGh*giC".[ZG/஻HC,ᓽ[GF//k☢PQC.Q)e(2)fm⌕3ᑭᵨqr

12sᣚyG-PCD=VF-PCD=VP-CDF=(XPEXS/u-v┵G-PCDḄqr.ூy%௃(1){C1&g4GhPD*“giC”.4/77ᵫ|}ABC஺48||஺஺~43=2஺஺L——=-FC1AG2E?AZ)ḄG?4£)ḄP7=7GH14GAF27ᙠAA/7C——=——=1ᦑGF஻HC.GHFC1HC=k☢PCD,GFak☢PC஺,...GE//k☢PDC.{C&\GGN||4
hPD*N,\FFM||ADhCD*M,giMN,•••G?PADḄ-=—=GN=2EQ=20.DEPE333▼ஹ1ᑗஹCD1.CF1ABCD?|}AB||CD,=1.=—.AB2AF2.MF_1._2w._..----=1,..MF——஺3,..GN—FM.AD33ᵫᡠGN||AD,FM||AD,uGN஻FM,ᡠGNMF?k}.?GFIIMN,GFzk☢PCD,MNck☢PC஺,r.G5|k☢PCD(2){C1:ᵫk☢BADk☢ABC஺M4Z)AABDᙳ?-}E?ḄAPErAD,BELAD,uPE_Lk☢ABC஺~PE=3

13ᵫপLGF//k☢⊈...—ᐭ஺=%¢=£*“j2ᵫ|}ABCD,ABHCD,~45=2஺஺=26(DF=—BD=—#>3316AABD?-}uNCDF=ABD=60S.=—*CDxDFxsinZBDC=—,cnrAW22u^P-CDF=§*PEXS^cDF~•-v┵G-PCDḄqr?—.2{C&ᵫk☢PAD_Lk☢ABC஺MADAA8Dᙳ?-}E?ADḄ:•PE:AD,8£_LAD,uPE_Lk☢ABC஺~PE=322221ᵫPG=—PE;<♦VG.PCD=MVE.PCD=mVp.CDE=?@AXPE@S&CDE136¾A4BD?-}uZEOC=120°u5“LÁUÃ=—2xCOxDExsin/£7)C=±).._21_213^_V3vQ•,Vp-CDF=§X]XPEXSACDF=§X]X3X-^—=,...-v┵G-PCDḄqr?—.2-7)1618.(1)-,+oo(2)—[3)9ூ᪆௃(1)ᑭᵨÑᑖÒCuÓ4ÔḄ%Õ.13(2)ᐜu/'(X)25,ᓽ2a+38=5(஺>0P>0),Û᪷Ý“1ḄÞᣚ”Ḅ{CàᔠÓ4Ôu-----+—Ḅᨬâ.ூ௃3—.(1)ã¢<—2å—%—2—x+3W3x—2,ᓽxNg,è%;77ã12WxW3åx+2-x+3<3x-2,ᓽê4x,u33ãx>3åx+2+x-3<3x-2,ᓽxNl,ux>3.ᦑᡠÓ4ÔḄ%Õ?g+°°]

14(2).//(x)=|x+2|+|x-3(x+2)-(x-3)|=5,ᡠ2a+3b=5(஺>0,b>0),ᑣ2a+1+30+1)=9,13—+£12஺+1+39+1)]=&e3(6+1)τ3(2a+l)--------1-------2a+1b+\2a+1b+\52cl+1=0+1,a--84564<2஺+3"=5,9:;<.,5a>0,/?>0,b--4+Ḅᨬ>?/9.ᦑ^---7----2஺+1஻+1ூ௃@>⚪A⌕ὃCᑖEFGH?I;J'ὃᑭᵨ,@I;JMᨬ?'ὃᓄNOᓄḄᦪPQRSF'*+T᫏⚪.19.(1)᩽ᜧ?-2e—l,᩽>?-e2(2)XYG᪆.ூG᪆௃✌ᐜ]^_ᦪḄ^`ab/'(X)(1)4a=-2e9'᪷d/'(x)Ḅfg]^/(x)ᓫiឋ'kl]^᩽?'mᐭMo᩽?;2,zyw>1,{஻(f)=inr-aLzD,ᑭᵨ~ᦪuo(2)qrᑖ᪆Fst⚪Oᓄ/uvInwுX?w+1&\)t+\h(t)>Q,kloᑮ.ூXG௃+2X-2=(XT)(2X+")ᵫ⚪o“X)^`a/(0,+)'/(x)=a1X(D4a=—2e9'/প=2(xT,(x-e),.,.4xe(O,l)b(e,+oo)9'/,(x)>04xe(l,e)9'/'(x)<0,.•/(x)ᙠ(0,1),(e,T8)ᓫi⌴,ᙠ(l,e)ᓫi⌴'.f(x)᩽ᜧ?//প=-2e+1-2=-2e—1,᩽>?//(e)=-2e(e—1)+e?-=-e?.

15ð.x᳝+x22(\2__jv«>0,ᓽ[&ùúு1^~Lý2᳝+ú2Xþ+]2X2ÿ”
>1,/z=ln/_2஺,ᑣ஻(஺=J_Jஹ2ு04,r+1r(r+l)(\2w-1/ᙠ(1,+8)ᓫ⌴.•.3)>ṹ)=0,ᑣᵫm
>~2,/w+1X2lᨵ/□)r(<]<)/1<.ூ)*௃,⚪ὃ/0ᦪᙠẆ34ᦪ5Ḅ7ᵨ9:ᑮ4ᦪ᩽=Ḅ>?ஹᑭᵨ0ᦪBCDEFḄG⚪,⚪DEFBCḄᐵIJKLMNOPQḄG⚪RᓄTUOPQḄG⚪VW᪀⌼4ᦪḄZFMG⚪RᓄT4ᦪᨬ=Ḅ>?G⚪.1?920.(1)-(2)ᑖ`ᑡb?᪆deT.7T315ூG᪆௃(1)ᵬjklmnᑮ2⍝6q⚪ᒹstOuvwUOnᑮ2⍝Bq⚪UOJnᑮ3OBq⚪yz{n|ᦪ}~>ᭆ᳛(2)XḄᡠᨵ~K=ᑖT0,2,3,yzᭆ᳛ᑖ`ᑡᵫdeFyzde.ூXG௃(1)“ᵬjklmnᑮ2⍝8q⚪”TuvA,ᑣnᑮ2⍝3q⚪ᨵCwCw|nᑮ3⍝8q⚪ᨵCw|,

1640_1:.P(A)=a120-3(2)XḄᡠᨵ~K=ᑖT0,2,3,1o7Ojo11^11P(X=0)=(-)2x-=-,P(X=l)=Cb-.-.----.-+20_423124P(X=2)=(gᐳP(X=3)=(-)2--45-94515XḄᑖ`ᑡT:X012321144p45459152114429E(X)=0x——+lx——+2x—+3x—I?4545915ூ)*௃,⚪ὃ/ᐺᭆὃ/PQḄᭆ᳛ᑖ`ᑡᦪkde.?⚪ᐵIJ¡uvj¢£¤Ḅᭆ᳛yzF.2…¦•ফ¨ூ?᪆௃(1)©ATª)A3Tx«Ty«AFTz«¬¡®¯°ᙶ᪗³ᑣ´=(-1,0,2),´=(-2,-1,1),yzᜳ°ᑮ¶ᫀ.22,(2)¸´=%º0<.<1,yzP(0,2x,2-2/0,yz»☢APCḄ|ᔣQ”=(1,-1,---------),»☢AO¾2—2/LḄ|ᔣQ¿=(1,0,0),᪷Áᜳ°Fyzᑮ¶ᫀ.ூÂ?௃(1)'BAF=90°,.AF±AB,Ã.»☢A5Eb_L»☢ABCD,Ä»☢ABEFTl»☢ABCD=AB,.,.4¾_1_»☢48CD,ÃÅÆÇA8C஺TÈÇ•••©ATª)A3Tx«AZ)Ty«AFTz«¬¡®¯°ᙶ᪗³'AD=2,AB=AF=2EF=2,¾J஺¾Ḅ5).B(2,0,0),E(1,0,2),C(2,2,0),P(0,1,1),~BE=(-b0,2),´=(-2,-1,1),

17¸É☢¯Ê8EËCPᡠᡂ°Ḅ»☢°TÍBECP\425/30ᑣcos3=BE[\CP\6615.•.É☢¯ÊBEËCPᡠᡂ°ḄÎÏ=TÐM.15(2)A(0,0,0),C(2,2,0),F(0,0,2),D(0,2,0),¸¾(a,b,c),Z=4º0

18@⚪ὃ☢ᜳ'᪷d☢M'ᙠὃPḄR¡¢b£)¢.22.Ú1Ûx+\/3y=43,p'=----—Ú2Û1.l+2sin-0ூG᪆௃Ú1Ûᑭᵨf¤Ḅb¥J'ᔠ᩽ᙶ᪗ᓄ/ᙶ᪗Ḅ¥J'ᓽMoªGḄᙶ᪗S«¬ᐜᑏ®ªc2Ḅ¯qS«'°ᑭᵨ¥Jᓄ
/᩽ᙶ᪗ᓽ¬Ú2ÛᐜM®M,NḄᙶ᪗'dMoTPḄᙶ᪗'sᐸOᓄ/᩽ᙶ᪗'ὶ²ªḄ᩽ᙶ᪗S«'ᓽMoP,஺³Ḅ᩽ᙶ᪗'ᑣ´µG.ூXG௃Ú1ÛGwᑭᵨ¥Joᐸᙶ᪗S«/x+=X=JCOSPX2V2Cw”Ḅ¯qS«/L+2_=i,2y=>/2sin6269ᑭᵨ¥Joᐸ᩽ᙶ᪗S«/22=]+2sçeÚ2ÛᵫÚ1ÛoGḄᙶ᪗S«/x+·¸'=·,ᦑ¹᧕oM(·,0),N((),l),n,OPḄ᩽ᙶ᪗S«/᜛=”'6¼6=2mᐭ᜛sin6+.)="^é"êëᐭí
îïð=2,.\PQ\=\p-p\=^>2ᓽ½'஺³Ḅ´µ/1.ூ௃@⚪ὃ᩽ᙶ᪗S«bᙶ᪗S«¾ḄOᓄ'¿ÀÁᦪS«Oᓄ/¯qS«'Àᙠ᩽ᙶ᪗&TM³¾Ḅ´µ'*Âᔠ,Ạ⚪.