2023年河南省兰考县高考数学全真模拟密押卷含解析

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14ூOA௃!QAC3G஺OM,CG,RGSTA஺ḄUAD=4ᡠ.AG=A£>=2,2RDC=3C=2,ᡠ.AG=BCRAZ)஻BCᡠ.ABCG.ᡠ.AO=OCWRPM=MA*ᡠ.MO||PCWRMOu☢BMG,PC(Z☢BMG,ᡠ.PCP☢8MG.A(ii)AQ᝞YᙠBCDGUR8G஻C஺CD1GD,ᡠ.8G_LG£>.G/012345ᙶ᪗8O-xyzᑣG(O,O,O),"(0,0,2),0(0,2,0),A(0,—2,0),B(2,0,0),C(2,2,0),M(0,T,l)ᡠ.\=(2,0,—2),]=(2,0,0),GM=(0,-1,1),BD=(-2,2,0),BM=(-2,-l,1)☢PADḄ?ᔣ>n=(1,0,0)D☢BMDḄ?ᔣ>m=(x,y,z),m-BD=0^2x+2z=0_x=l,`a=(1,1,3),-2x-y+z=0

15\m-n\]ÓÔt☢Õt☢8MDᡠᡂḄ┦]☢L஺ᑣcos=,2|=~F==——MMvniiᡠY┦]☢LḄØF11(2)ÔÓ=4Ó=2(0,2,2)=(0,22,22),2e(0,1)ᡠYM(0,24—2,22),Ù=(-2,22-2,22),fiG=(-2,0,0),Ôt☢BMGḄCᔣÛÜ=3,b,c),ᑣp-BG=-2a=0ீ---+b=2,Q஻=(0,Þ1—X),[p-BM=(2A-2)b+2Ac=0WPBt☢BMGᡠᡂḄLḄF,,5ᡠYßàಘ-.\PB\-\P\/ᡝ125+Qa=BᡠYâᙠm=!äåÙ'=2ç
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ᑣ*ᓽ-101A=1Wô0,ᡠYa=2.5ᑖ

16,31132k13WA-i=
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a=2,k=2.20ᑖூ
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௃(1)S஻=1q=5=0,ᓽ஺=0.ᡠS“=.஻22B=S“—S,i=--஺”B)q,(஻—2)4=(஻>1)4T,Y஻23BZ-=n.,ᡠ%=-^-x-^-x---x-^-xa=2(n-l).2a,-஻-2a_,a,7a2n]ᯠY஻=1,2B_`a#.ᡠ%=2(஻-1),஻GN*.-4=2,ᡠᦪᑡf%3g.hᦪᑡ,(2)ᵫ(1),஺“=2(஻-1),MN*•-./ᦪᑡ23Ḅ"/4/ᡠ஺,=kz=2/1.=6,S*=12,bு—2qf

17•••஺4ា$4uuTḄwxU⚗ᡠ.62=12x(2q-l),A`4=2,ᡠ."=2",஻eN"(3)1=Cj+஺2+…+c“+ᓶ(++++++…+ெᯅ+^^+…+ᐹ஻‘2111111C--------1--------------+...H------>-------1-------•H------n-I9"2"-'+12+22"2"2"2"2"-(2"-'-1)+1T1T2"26x2+13ᡠ.஻=27^=1+—+-+—=—=2341212.,1111116/1+13r=c.+c,+---+c„>i+-+-+-+—+—+•••+-஻23,n'-"23422212.•.஻22,ᨵ12\6஻+13,ூ௃⚪⌕ὃᦪᑡḄ⚗¡¢஻⚗¡Ḅᐵ8w¤ᦪᑡwxᦪᑡḄ¥¦¡ឋ¨.©ᦪᑡª«Ḅ\?¬ὃ®ᓄᓄ°Ḅ±²¡³´@AḄµ¶·⚪஻+121.(1)¸¹ºA᪆(2)40(3)a„=——2ூA᪆௃(Dᑭᵨ⌴)ᐵ8@+ᦪᑡḄ⚗½^¾¿஻=1À+|஺,m-4+2|¹ᔲᦪᑡÄ4ÅUḄ⚗ᓽÆ`Çᫀ;(2)ᵫ⚪`º+|qᵨ^%+2|=4+(஻-1)1+31ˤ½ᑖÍÎÏᓽÆ`ÇᫀB(3)ᵫ⚪`ᦪᑡÄÐw¤ᦪᑡDᦪᑡÄ4ÅḄ¤ÑÒ()),Ë᪷Ô¸w^dᵨ`ᑮ¤Ḅ×,ᓽÆ`ÇᫀBூOA௃(1)஻22a-S-5,,.,=4/i-2n2-4(n-1)+2(n-1)2=-4n+6nnWq=Si=2=4xl-2,ᡠ.a“=-An+6.

18ᡠ.4+Ù-a“+2|=4+6+4=10-4஻஻=1a+\a-a\=6,஺“<2,Hn+ln+2ᡠ.஻=14,+ᵪ^஺,Ü21¸¹ᦪᑡÄ஺“ÅUḄ⚗ᦑᦪᑡÄ4Ÿ¹“Tᦪᑡ”(2)RᦪᑡT¹¤dḄw¤ᦪᑡᡠ.a+\a-a\=4+(஻-l)d+1d|.nn+in+2RᦪᑡÄ4Å“Tᦪᑡ”ᡠ.஻GN*Þᙠ᪷GN*ß`à+(஻—l)d+|d|=a,“ᓽᨵ(a^")"=|"I.জã"NO,ᑣä◤m=஻+lwN*ß`(a^")d=|d|,`4+|èᵨ^Æé¹ᦪᑡÄ஺“ÅUḄ⚗.ঝãd<0,ë=1.஻=1ì=0¸í᦮ᦪᡠ.ï<()¸ðᔠ⚪.òód20.বᵫ⚪a0),ᑣᨵ஺“=1+(஻-Dr,ᵫa„<«,ti-an<4,+i`1+(஻T)<42+(2n-l)t]ö-3/+1,জ,?(£—2ᔆ)>2/—1~—1,ঝã2/-<0,_í᦮ᦪN஺>u"ÿᑣ
஻>N()஻(2r—1)<(2ᔆ—/)N஺0,ᡠ1/■=1.2678
£=:জঝ;஻eN*ឤᡂ2

19ᡠᦪᑡ>q@Ḅ⚗"#4q=1+g(஻—1)=.ூmn௃p⚪ὃᦪᑡrst⚪ஹ.hᦪᑡḄ⚗"#ὃvᦪwxyzஹ{ᓄᓄ}yzஹᑖyzὃᳮஹ(ᜧ.2922.(1)~(2)জᑖᑡ᪆£(X)=238.6.ঝ⌱ᵬ"ὺ.140ூ
᪆௃(1)Ḅ3ᜩ〈⚶ᓫᦪ¡404¢£AP(A)Ḅ.(2)জ-¤"〈⚶ᕒ〈⚶ᓫᦪ4஺YI=38Bx=38x6,¦SYa=39BY஺=40BXḄ.Y஺=41BXḄ§ᳮSYa=42BX.XḄᡠᨵ.XḄᑖᑡᐸᦪª«¬.ঝ⚪®ᵬ"〈⚶ᕒ¯°ᙳ〈⚶ᓫᦪ.ᵬ"〈⚶ᕒ¯°ᙳ²³¤ᦪª«¬/ᓽ´.ூ
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20᫏⚪.