北京市西城区抽样测试Sampling test in Beijing Xicheng District inWord格式文档下载.docx
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北京市西城区抽样测试Sampling test in Beijing Xicheng District inWord格式文档下载.docx
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C.D.x<
-1,or
3.thefixedpointA(0,1)pointBmovesontheliney=x.WhenthelinesegmentABisatitsminimum,thecoordinatesofthepointBare()
A.B.
C.D.
4.knownalpha,betarepresentsflat,m,nmeansstraightline.Thefollowingpropositioniscorrect()
IftheA./alphabeta,m//n.
B.ifanalpha,beta,m,NGroup
IftheC.m//alpha,n//beta,MgroupofN,isanalphabeta
D.mifanalpha,betam//n,nt,thenthealpha/beta
5.theinversefunctionofafunctionis()
A.,X(1,3)
B.,X(1,3)
C.,X(1,3]
D.,X(1,3]
6.incomplexplane,thecomplexnumberofvectorsis2+i,thecomplexnumbercorrespondingtovectoris-1-3i,andthecomplexnumbercorrespondingtovectoris()
A.1-2IB.-1+2IC.3+4ID.-3-4i
7.setA={1,2,3,4,5},a,B,A,saidthefocusisontheellipticequationsontheYaxis(a)
A.5,B.10,C.20,D.25
8.ofthepopulationproblemisoneofChina'
sbiggestsocialproblems,theestimatednumberofpopulationanddevelopmenttrendisourfoundationtodevelopaseriesofrelatedpolicies.Theannualpopulationstatistics,canChinafollowsfrom1974to1999populationdata:
Particularyear
Onethousandninehundredandseventy-four
Onethousandninehundredandseventy-nine
Onethousandninehundredandeighty-four
Onethousandninehundredandeighty-nine
Onethousandninehundredandninety-four
Onethousandninehundredandninety-nine
Population
Ninepointzeroeight
Ninepointsevenfive
Tenpointthreefive
Elevenpointzeroseven
Elevenpointsevenseven
Twelvepointfivezero
(unit:
100million)
ItcanbeestimatedthatthenumberofpeopleinChinain2004is()
A.13.02billionB.13.22billion,C.13.42billionD.13.66million
Two,fillinthetitle:
6items,eachitemof5points,atotalof30points.Writetheanswersinthetitleontheline.
9.ifthefunctionisanoddfunction,f(x)=_________.
The10.functionin[0,1]andthemaximumvalueandtheminimumvalueis3,thenthevalueofais_________.
Aminimumof11.functionis__________.
Themidpointofthe12.lineLcircularsectionABisthechord,thenlinearlequationsfor_________________;
|AB|=___________.
13.lettheedgesofthecubeoflengtha,withitssixfacesofthecenterfortheverticesofthepolyhedronvolumeis_________.
Asshowninfigure14.,anumberofNrowsncolumnssquare.SymbolislocatedintheIforthejcolumnknownpositive.Eachlineofthenumberofarithmeticprogression,eachcolumnthenumberofgeometricseries,andthecolumnnumberisequaltotheratioofQ..Then,if,q=___________;
.
Three,answerquestions:
thistopic6items,atotalof80points.Theanswershouldbetowritethetext,theprooforthecalculationsteps.
15.(12pointsoutofthequestion)
Letx,R,f(x)functionisknown.TheminimumpositiveperiodforPI,and.
(I)findthesumofthesumofomega;
(II)findingthemonotonicallyincreasingintervalofF(x)
16.(14pointsoutofthequestion)
AsshowninFig.three,theEisthemidpointoftheAC
(I)verification:
;
(II)proof:
(III)if,forthesizeofthedihedralangle.
17.(12pointsoutofthequestion)
Acommodityinthelast30daysofeachpieceofthesalesprice(yuan)Pandt(daytime)thefunctionsatisfiesapproximately.TheCommoditydailysalesofQ()andt(timeofday)thefunctionapproximationsatisfiesQ=-t+40(t=1~30).Themaximumvalueforthegoodsonsaletheamountof,
Andpointoutthatthemaximumamountofdailysalesisthefirst30daysoftheday
18.(14pointsoutofthequestion)
Setthefunctionf(x)=0,<
a<
1.
(I)provethatf(x)isanincreasingfunctionon(-);
(II)solvinginequalityf(x)>
19.(14pointsoutofthequestion)
Knownfixed-pointA(-2,-4),overpointAasatiltangleof45degreeslinearlparabolicparabola(P>
o)atB,Ctwopoints,and|AB|,|BC|,|AC|intogeometricseries
(I)parabolicequation;
(II)whetherthereisapointDintheparabolaof(I),sothat|DB|=|DC|isestablished?
Ifitexists,findthecoordinatesofthepointD;
ifnot,explainthereason
20.(14pointsoutofthequestion)
Theknownpositivesequenceand,(0<
1),whenn=2,
(I)proof:
Yes,whatever;
(II)findingthegeneraltermformulaofaseries;
Third,mathematics(liberalarts)referenceanswersandscoringstandards
thebigquestions,8items,eachitemof5points,atotalof40points.
1.C,2.B,3.C,4.D,5.A,6.D,7.B,8.B
6items,eachitemof5points,atotalof30points.
9.2x+3(5points)10.2(5points)11.-2(5points)
12.(firstempty2points,secondempty3points)
13.(5points)
14.;
(firstempty2points,secondempty3points)
thistopic6items,atotalof80points,theothersolution,pleasecopythistothepoint.
Solution:
dreamsofF(x)theminimumpositiveperiodforpi*...........................3...
Stardreams
Dreams,star..............................5...
Sorghum..........................................8...
(II)solution:
obtainedby(I),
Whenl,
Immediately,f(x)monotonicallyincreases
*f(x)monotonicallyincreasingintervalis...........................12...
(I)thatis:
dreamsarethreeprism,
L
DreamsisaregulartriangleDeltaABC,EisthemidpointofAC,
So,...............................................................4...
(II)prove:
even
Dreamsisthreeprism,
Risarectangle,Disthemidpoint.
EACisthemidpointofdreams,
L"
DE.dreams,
plane.....................................................................8...
(III)solution:
forG,evenCG.
Knowfrom(I)plane,
*.....................................................................9...
HenceFGisCGintheplaneoftheprojection.
Accordingtotheoremthree.*,
L/CGFisplanedihedralangle.......................................11...
AB=a,dreams
IntheRtDelta
Indreams,*.
Thesizeofthedihedralangleis45degreesw..................................14...
thedailysalesamountisyyuan,andy=P=Q:
...2points
Thatis,......6
When............8
Whenmonotonicallydecreasing,
Rt=25,.............................................10...
Star.
Themaximumamountofthegoodssolddryfor1125yuan,andnearly30daysinthetwenty-fifthdayofthebiggestsales....12...
(I)prove:
takeit,and,
...3
Dreams,.........5...
Dreams,star.
Thatis,dry.
So,theincreasingfunctionofR......................8...
[1]solutionofdreams,
*.....................11...
Solutionstoinequalities
(1)areobtained,,
Solutionstoinequalities
(2)areobtained,
0<
a<
1dreams,R
Hencetheoriginalinequalitysolutionsetfor.......................................14...
[solution2]functionf(x)definitiondomainfor:
...8points
Solvingequationf(x)=1isobtained
(I)byF(x)isanincreasingfunctionofthestarf(x)>
1,.
TheoriginalStardreams,inequalitysolutionsetfor......................13...
(I)solution:
thelinearlequationisy=x-2,andissubstitutedbyit,
Sortout...For.......2
P>
0dreams,*.
Set.
*............................4...
|AB||BC|,|AC|dreams,equiratiosequences,
L,
Organizeas...
Willbereplacedbytheformula,thesolutionp=1.
Hencetheparabolicequation..................................7...
supposethatthereisapointontheparabolathatmakes|DB|+|DC|,
RememberthelineBCatthemidpointof
Then....10minutes
Whenp=1,theformbecomes
So,.
Acupuncturepointshouldmeet............................12...
Getit
Thereislittleordry(8,-4),theestablishmentof|DB|=|DC|...........................14...
(I)proving:
provingbymathematicalinduction:
Whenn=1,thepropositionisestablished;
......2
Assumethatwhenn=k,thepropositionisestablished,i.e.,whenn=k+1,
Lwhenn=k+1,thepropositionisalsotrue.
Synthesisone,twoknow,pairofHengholdswater......7!
dreams,
*............................11...
Peryleneseriesistoleranceof1arithmeticprogression,thefirstitemis.
*..................................14...
[Note:
(I),(II)twoquestions,independentpoints.]
NorthhighschoolschoolIwishyousuccessinthecollegeentranceexamination
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