绵阳市高中2016级第三次诊断性考试 理科数学（扫描版）

17 2016 12560 BCDAA CDBCB CA 4520 131 14 1524 16 3 32 670 171cosC=2acosC=2b c 2a=2b c b2+c2a2=bc 3 cosA= 5 A(0) A= 6 2ABDAB=3BD=cosA= 13=9+AD23AD AD=4()9 BDAC DAC AC=2AD=8 S ABC=AB ACsinA= 12 18140A 4 27 2t 640 74040. tt X tt X228234240247254 228 234 240 247 254 P 8 Yu480Yu Y232236240244248. 232 236 240 244 248 P 11 ()( )E XE Y 12 191PPOADOAOBO PAD=120PAO=60 RtPAOPO=PAsinPAO=2sin60= 3 2 2 =32 BAD=120 BAO=60 PA=ABPAO=BAO=60AO=AO PAOBAO(SAS) BO=PO=34 EFPABD P E D C A B F z x y O 37 EFPBD PB=2EF= 6 2 2 =6 222 PBPOBO POBO5 ADBO=O POABCD POPAD PADABCD 6 2O xyz A(010)P(003)B(300)D(030) E(0)F(0) 7 ABCDn1=(001) 8 ACEn2=(xyz) AE=(0)AF=(0) 2 2 0 0 AE AF 13 0 22 31 0 22 yz xy x=1y=z=1. ACEn2=(11) 10 E-AC-D cos =|cosn1n2|=|= E-AC-D12 201PBBA BAP P(0)A(a0) PA 2PB 47 2 222 abc 22 5ab 22 49ba E 4 2 PBMPAN SS6 5 3PNPM 11 ()M xy 12 ()N xy PM=(x1y1)PN=(x2y2) (x2y2)=3(x1y1) x2=3x1 6 22 2 3 1 94 ykx xy y 8 2 8 9 k 9 2 8 9 k 4 2 3 k11 l 4 2 3 k 12 211( )lnfxxax 57 ( )f x( )=0fx ( )lng xxax a0( )g x0g(x)(0) g(x)(0) 3 a0( )g x0 xa( )g x00xa g(x)(0)a()a g(x)g(a)=a alnae 5 2x1x2g(x)=x alnx=0 22 11 ln ln axx axx 2121 (lnln)axxxx 2121 2 21 1 = lnln ln xxxx a x xx x x1x2a27 12 xx 9 ( )h t(1+) ( )h th(1)=0 67 ( )0g t11 ( )g t(1+) ( )g t(1)g=0 (1+) 12 221 2 (1 cos2 )2 cos8sin 22 cos4 sin 2 cosxsiny x2=4y Cx2=4y 4 2lyF(01)C |FA|=|t1|FB|=|t2| l cos 1sin xt yt Cx2=4y 22 cos4 sin40tt cos0 7 |FA| |FB|=|t1t2|=4 2 cos1 |FA| |FB|l1y 10 231x1( )3f xx3x