2020年西城高三诊断性测试数学试题及答案

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1(6)2020.56,150120,,(40):10,4,40.,.1.A={x||x|3},B={x|x=2k,kZ},AB=(A){0,2}(B){-2,2}(C){-2,0,2}(D){-2,-1,0,1,2}2.zzi=-1+i,z(A)(B)(C)(D)3.,R(0,+)(A)y=-x3(B)y=x|x|(C)y=x-1(D)y=x4.x2=4y(A)x=1(B)x=-1(C)y=1(D)y=-15.ABC,abc=456,(A)18(B)14(C)310(D)356.a=30.2,b=log32,c=log0.23,(A)acb(B)abc(C)bca(D)bac2(6)7.,(A)6(B)4(C)3(D)28.x2+y2-4x+2y+a=0x,y,a(A)(-,1](B)(-,0](C)[0,+)(D)[5,+)9.ab,ab02|a-b||a|+|b|(A)(B)(C)(D)10.f(x)=(x-1)ex.xf(x)ax-1,a(A)(0,e](B)(0,e2](C)(1,e22](D)(1,e2+12]3(6)(110):5,5,25.11.a=(1,-2),b=(k,2)ab,|b|=12.x2a2-y216=1(a0)(2,0),.13.f(x)=sin2x+2cos2x.f(x);xR,f(x)m,m.14.,.,,,,.,,.15.P-ABCD,ABCD,PAABCD,PA=AB=4,E,F,HPB,BC,PD,EFHP-ABCD,:46;;P-ABCD.,.4(6):6,85..16.(14),ABCDEF,ABCD2,DEABCD,DEBF,DE=2BF=2.():BCFADE;()D-AE-F.17.(14)nSn=n2+p(pR),an=an+1-3,a6=112an+1=an+an+2,,.{an},a1=1,,nN*.(){an};()a1,an,am,m,nN*,mn1,m.:,.5(6)18.(14),,,8:[0.486,0.536),[0.536,0.586),,[0.836,0.886),.,0.736A,0.7360.636B,0.636C.(),C;(),ABC201510.,X,,X;(),1.1,,,?,?().19.(14)C:x2a2+y2b2=1(ab0)12,F,A(a,0),|AF|=1.()C;()Fl(x)CM,N,MA,NAx=4P,Q.PFQ.6(6)20.(15)f(x)=aex+cosx,aR.()f(x),a;()a=1,:x0,f(x)2;()f(x)[0,],a.21.(14)N,Ik=[ak,ak+1](akR,k=1,2,N):x[0,100],kxIk;k{1,2,N},x[0,100],x?Ii(i=1,2,k-1,k+1,N).()ak(k=1,2,N)k-1k2-1;()()N;()N,,N;,.172020.510440.1C2A3B4D5.A6.B7.D8.A9.A10.D5525.1125122yx13211415145015503.685..1614//DEBFDEADEBFADE//BFADE.3//BCADE.BCBFBBCBCFBFBCF//BCFADE.6DEABCDABCD,,DADCDE,,DADCDExyz7(0,0,0)D(0,0,2)E(2,2,1)F(2,0,0)A(2,0,2)AE(0,2,1)AF.8AEF(,,)xyzn0AEn0AFn220,20,xzyzABCFEDyxz271y(2,1,2)n.11DAE(0,1,0)m.DAEF1|cos||cos,|||||||3mnmnmn1cos3DAEF13.141714(1n111Sa0p.22n21(1)nSn3121nnnaSSn2n.511a21()nannN*.6()1,,nmaaa21nmaaa82(21)1(21)nm.922112212()22mnnn11mn1mn2nm514:()13nnaa13nnaa2{}na3d41(1)32()naandnnN*.6()1,,nmaaa21nmaaa82(32)1(32)nm.922223423()33mnnn1137mn1mn2nm614(122nnnaaa121nnnnaaaa.{}na211a61511aad2d41(1)21()naandnnN*.6(1,,nmaaa21nmaaa82(21)1(21)nm.922112212()22mnnn11mn1mn2nm5141814MC1(0.41.24.06.04.41.20.4)0.051a2.4a.2C(0.41.22.4)0.050.23C0.2.MCM()10.20.8PM.5A(4.41.20.4)0.050.3B(4.06.0)0.050.5C(0.41.22.4)0.050.2.747X2025303540(20)0.20.20.04PX(25)0.20.50.50.20.2PX(30)0.50.50.30.20.20.30.37PX(35)0.30.50.50.30.3PX(40)0.30.30.09PX.9XX2025303540P0.040.20.370.30.0910X()200.04250.2300.37350.3400.0931EX.11.1419141,21,caac2a1c3223bacC22143xy5l3(1,)2M3(1,)2N(4,3)P(4,3)Q(1,0)F(3,3)FP(3,3)FQ0FPFQ90PFQ6l:(1)lykx0k722(1),3412,ykxxy2222(43)84120kxkxk8011(,)Mxy22(,)Nxy2122843kxxk212241243kxxk9MPAFNxyOQ57MA11(2)2yyxx104x1122Pyyx112(4,)2yPx11222(4,)2yQx12112(3,)2yFPx222(3,)2yFQx121249(2)(2)yyFPFQxx212124(1)(1)9(2)(2)kxxxx2121212124[()1]92()4kxxxxxxxx22222222241284(1)434394121644343kkkkkkkkk22222224[(412)8(43)]9(412)164(43)kkkkkkk090PFQ90PFQ.142015()fx((ffe1e1aa20a.0a.4()esinxfxx.60xe1xsin[1,1]x7()esin0xfxx()fx(0,).()(0)2fxf()2fx.9()ecos0xfxaxcosexxa.cos()exxhx[0,x10sincos()exxxhx.11()0hx34x.67x()hx()hxx3(0,)4343(,4()hx0()hx()hx3(0,)43(,4.13(0)1h(eh3432()e42h342[e,e)2acosexxa[0,3[0,)43(,4.a342[e,e)2.152114(ka1kka12k.3(ba[,]ab[0,100]100kI1.100N.61[0,1]I2[1,2]I100[99,100]I.N100.8(N200.91200N.,12,,,NIIIk[0,100]kI.12naaa.20a1k[0,100]x77ixI(2,3,,)iN.20a.10111kkaa11kkkIII[0,100]xixI(1,2,,1,1,)ikkN111kkaa.4211aa6412aa200198199aa2001100a.12200[0,100]III.201I[0,100]xixI(1,2,,200)i200N.122200N.1100(1)2199kak1,2,,200k12200,,,aaa100199d.1d1kkII122001201[,]22III12200,,,III10011992d100(1)199kkI100(1)199ikI(1,2,,1,1,)ikkN.100(1)199kkI12200,,,III12N200.14

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