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1、高中數(shù)學(xué)競(jìng)賽訓(xùn)練題--全解全析Thehighschoolmathcontest一problemsolvingIt,stwodifferentpositiveNumbers,andthey,resatisfied,andallpossibleintegers,c,makeit.Itisknownthattheinequalityistrueforallpositiveintegers,themaximumvalueofpositiveintegers,andprovesyourconclusion.Setthemonotonic
2、allyincreasingnumbercolumn,andsatisfy,tofindthegeneralformulafor{}?(1)makesure:(2)Verification:Let'ssetthenumbercolumn,Q:(1)whatisthevalueofthiscolumnin2010?(2)inthissequence,whatisthesequeneenumberofthe2010valueof1.Therearetenballsinred,blackandwhite?Nowputthemalli
3、ntoa,btwobags,requireseachbagthreecolorsoftheball,andpartyaandpartybtwobagsofthreecolors,equaltotheproductofthecount?Howmanywaystoputit.Theknownsequeneesatisfies(),theprecedingandthefirst,and,Remember,atthetime,isthereanypositiveintegerthatyouhaveforanypositiveinteg
4、er?IfIexist,findthevalueofm;Ifnot,explainwhy.Inthemiddle,already,theareaisequalto6.Thelengthofthetrilateral(I);(II)issetP(includingboundary),PtothetrilateralAB,BC,AB,andovaluerange?Inthesequence,agivennon-zerointeger?(1)if,(2)proof:theremustbeaninfinitenumberoftwodi
5、fferentconstants?Weknowthattheellipse,at(0,1),isarightAngle,andthesidesAB,BC,andellipsearehandedinBandC.IfthemaximumvalueoftheABCareaofthetriangleisequaltothevalueofthis.Figure,ellipse:,thevertexoftheellipse?(I),ififandonlyifthepointsontheellipseintheovalvertex,obta
6、inthemaximumandminimumvalues,thevaluerangeof;(II)ifthepointontheellipsetothemaximumdistancebetweenthefocus,theminimumvaluefor,andfellowshipwithstraightline,twopoints(notellipticalorvertex),andmeet?Trytoresearch:afixedline?Ifyouhaveafixedpoint,askforafixedpointcoordi
7、nate?Ifitisonlyafixedpoint,pleaseexplainwhy.Asshowninthefourpyramid,thebaseisthesquareofthelengthoftheside,thesideisapositivetriangle,andisperpendiculartothebase?(1)thevolumeofthefourpyramid;(2)isthereapointontheside?Pleaseexplainwhy.(二15outof10)Theequation:?(1)ifth
8、eequationrepresentsthecircle,therangeoftherealnumber;(2)whentheequationrepresentsthecircle,ifthecircleandthelineareintersectingattwopoints