几何体的展开图

20115417():zxss.chinajournal.net.cn:[e-mail](432500),,,.A2,,.?.,,.1.,..1411.(1)141,1,4,1,6.1(2)231,2,3,()2,,3.2(3)222,,3.3(4)33,1,3.:,,Z,.,.,.2.,.,..24,?(1)(2)(3)4(1);(2);(3),5.5320115417():zxss.chinajournal.net.cn:[e-mail],,.3(6),,,,,.6,,.,,14,,,,.,,,.1.,.47,,ABCDEFGH.8,:ABCD,ABGH,EFGH,3.7895(2009全国卷),,,9,().(A)(B)(C)(D)10,10,,,,,,(B).45,,,.116AC1321,AC1().12(A)1+3(B)2+10(C)32(D)2512,ABB1A1420115417():zxss.chinajournal.net.cn:[e-mail]1B1,AC1=52+12=26.ABB1A1BCC1B126.13,ABB1A1A1B1C1D1,AC1=32+32=32.ABB1A1A1B1C1D132.131414,ADD1A1A1B1C1D1,AC1=42+22=25.ADD1A1A1B1C1D125.322526,AC132.,,.152.,,.16715,ABC-A1B1C11,8,A,A1.AA1,16,A1AD+DA1,A1FM,A1F=FM,A1D=DM,AD+DA1AM,AM=AA21+A1M2=10.,,,.3.17,.8ABCDa,2a,BACAD,1817,,.18,AMN=ANM,BMC=AMN.AMN=ACD=ACB,BMC=MCB,BM=BC=a.NB=a,ACDBCM,CM=a2,AM=32a,MNCD=AMAC,MN=34a.BB=2a+34a=114a,114a.,,.(下转第6页)520115417():zxss.chinajournal.net.cn:[e-mail](100048).ab=|a||b|cos,ab.|cos|1,|ab||a||b|ab|a||b|,ab;,ab.,,,a(a1,a2)b(b1,b2)aab=a1b1+a2b2,|a|=a21+a22.a1b1+a2b2a21+a22b21+b22.:ab=a1b1+a2b2+a3b3(1.a)|a|=a21+a22+a23(2.a)a1b1+a2b2+a3b3a21+a22+a23b21+b22+b23(3.a).1x-2+4-x=2.u(x-2,4-x)v(1,1).|u|=2,|v|=2,uv|u||v|,uv=x-2+4-x|u||v|=2.,x-21=4-x1,x=3.2x4+y4+z4=1,x2+y2+2z2=7.,uv|u||v|,u(a1,a2,a3)v(b1,b2,b3):a1b1+a2b2+a3b3a21+a22+a23b21+b22+b23.,u(x2,y2,z2)v(1,1,2).1,7.,7=uv|u||v|=112+12+22=6,..(下转第7页)(上接第5页)4.19,,.919,1,2,A,AB,?20AB,,20,AB.AB=4+(2)2=21+2.,.()6