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1、2007年-2010年新课标高考数学(理科)试题分类精编In2007-2010NewCurriculumMathematics(Science)testforfineclassificationparabolaI.multiple-choicequestions1.(Shaanxi20108).Theparabolaistangenttothecirclelineknownasthe[value]・[answer]C[analysis]bythequestionset,straightlineandcircletange
2、nt,sochoose2.(2010,Fujian,2)thecenteroftheparabolaisthecenterofthecircle,andtheequationofthecircleattheoriginofthecoordinateis()A.B.C.D.[answer]D[analytic]becausetheknowncoordinatesofthefocusoftheparabolais(1,0),thatis,thecircleofthecenterofthecircle,androundtheo
3、rigin,sotheradiusofthecircleis,sotheequationforthecircle,thatis,chooseD.[proposition]thepurposeofthisarticleistoexaminethegeometricpropertiesofparabolaandthesolutionoftheequationofacircle・3.(Liaoning20107)afocusparabolicy2=8xisF,1linePisapoint,parabola,PAgroupofL
4、,AforAF.Iftheslopeofastraightlineperpendiculartothe
5、PF
6、二.(A)(B)8(C)(D)16[answer]B[analytic]parabolicfocusF(2,0),linearAFequationis,sopoint,andthus
7、PF
8、=6+2=81.(Tianjin20099)focussetparabolic=2xF,atM(,0)ofthelinearandparabolicintersectatA,Bpointsandparabolicdirectr
9、ixintersectatC,=2,BCFandACFarearatio二(A)(B)(C)(D);[location]sitestheyexaminetheparabolicnature,threepointscollinearcoordinaterelations,mathematicaloperationabilityandcomprehensive,mid-rangeproblems・Questionbyquestion,alsoByA,B,Mthreecollinear,thatis,So,thechoiceo
10、fA.2.(200&Hainan,11)theknownpointPisontheparabola,thenthedistaneebetweenthepointPpointandthepointPtotheparabolafocusdistance,andwhentheminimumvalueisobtained,thecoordinatesofthepointPare()A.B.C.D.Solution:pointPtopointPtoadistaneeequaltotheparabolicfocusparabolic
11、directrixdistance,asshowninFig・Therefore,theminimumvalueisobtainedatthecollinearofthreepoints,Atthispointtheordinateisall,sochooseA.(pointcoordinates)1.(2007,Hainan,6)thefocalpointoftheknownparabolaisthepoint,ontheparabola,andthereis()A.B.C.D.[answer]:C[analysis]
12、:definedbytheparabola,thatis:Two.F订1intheblanks1.(2010,Hunan,14).Thefocusofaparabolaisastraightlinewithaslopeof1.Theparabolaisplacedattwopoints,andthepositivep
