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1、难点3运用向量法解题（Difficulty3usingvectormethodtosolveproblems）Difficulty3usingvectormethodtosolveproblemsTheplanevectorisoneofthenewreformofteachingcontent,theuseofnewmaterialsinrecentyears,thecollegeentranceexaminationgraduallyincreasedtothispartoftheteststrength,thissectionismainlytohelpthecandida
2、testoanalysisbyvectormethod,tosolvetherelatedproblems.Difficultmagneticfield(*assumes)triangleABC,A(5,1),B(1,7),C(1,2),and(1)BConthesideofthemidlineAMlong;(2)thebisectorADlongangleCAB;(3)thevalueofcosABC.CasestudyAcaseofFigure1,knownparallelepipedABCD-A1B1C1D1ABCDisshownatthebottomofthediamon
3、d,and/C1CB=/C1CD=/BCD.(1):C1CgroupBD.confirmation(2)whentheEMBEDEquation.3valueishowmuchtheycanmakeA1CanC1BDplane?PleasegivemeproofPropositionalintention:thistopicmainlyexaminestheexaminee,usesthevectormethodtosolvethevectorvertical,theangleandsoon,aswellastothethree-dimensionalgeometrygraphr
4、eadingabilityKnowledgesupport:theshiningpointofansweringthequestionistodemonstratetheverticalproblemofsolidgeometrybyvectors,whichmakesthegeometryproblemalgebraicandmakesthetediousargumenteasyTheerroranalysis:difficultyisnotclearandthemutualtransformationtestphysiologicalpositionalrelationshi
5、pandtherelationshipbetweenthenumberoftopics,andthenistoclarifythedifferenceandcontactangleandthevectorangleprovidedbyknownconditions.Techniquesandmethods:usingaBEMBEDEquation.3a,anb=0toprovethetwostraightvertical,aslongasthenumberthatcorrespondstothetwolinearvectorproductiszero.(1)provethatif
6、EMBEDEquation.3=a,EMBEDEquation.3=b,EMBEDEquation.3=c,accordingtothemeaningofproblems,
7、a
8、=
9、b
10、,22EMBEDEquation.3,EMBEDEquation.3,EMBEDEquation.3inLaangletheta,soEMBEDEquation.3=aB,EMBEDEquation.3=c(ab)-=c-b=
11、c
12、-
13、a
14、cos-
15、c
16、Ac
17、b
18、cos0=0BD.C1C*t(2):ifthesolutionofanomalousA1CplaneC1BD,A1CanBDcardon
19、ly,A1CgroupofDC1,ByEMBEDEquation.3=(a+b+c)-(Ac)=
20、a
21、2+a-Bb-C
22、c
23、2=
24、a
25、2
26、c
27、2+
28、b
29、-
30、a
31、cos-
32、c
33、-cos
34、b
35、thetatheta=0,tooWhen
36、a
37、=
38、c
39、,anA1CDC1,inthesamewayasthe
40、a
41、=
42、c
43、,A1CgroupofBD,EMBEDEquation.3*=1,A1CanC1BD.planeAcaseof2figure,straightthreeprismABC-A1
