浙江七彩阳光联盟2019届高三上学期第二次联考 数学（PDF版）

浙江七彩阳光联盟2019届高三上学期第二次联考 数学（PDF版）

4 1 2 2 4 150 120 V Sh S h 1 3V Sh S h S1 S2 h 24S R R 40 10 4 40 1 i i 21 1 A B C D 2 BARaaBaA ,},0,{},,4{ 2 A B 0 C 1 D 4 3 1 c A 40 B 20 C 21 D 11 4 x A 4 B 8 C 16 D 24 5 ,a b 0|| ba 0ba A B C D 6 , nm, //m n A nm B nm C nm// D nm// 7 1 1 0 1 2 P p 2 2 0 1 2 P p )()(),()( 2121 DDEE B )()(),()( 2121 DDEE C )()(),()( 2121 DDEE D )()(),()( 2121 DDEE 8 , }|{ 1 * maNnA n 0, mA B }32{Am C 3},3{ mA D }5,3{Am 9 1xy BA, A x P , OBP 2 A )2 2,1( B )1,1( C D 10 ABCD , AC ABCD DB DA BCD DB ACD DC ABD B C D 110 7 6 4 36 11 0a )0,2( a , 12 ),0(,cos1sin sin 13 4 , 14 |2-|-)( |1| xexf x )(xf )(xf 15 0 2 3 6 6 9 16 ,, 21 ee c 1|ec||ec| 21 2 c 17 RyRx , 22 )]ln([ yxye x 5 74 18 14 ABC D BC 1,2 ACAB I AD BAC AD 1 BC II D BC BACcos 19 15 ABCD 045A H DC DCBH CBH BH PBH PBPD I PD PBH II 1PD HPBA a1 1 2 20 15 na ).(22),(2 )(22,2 nknnkn nkn a n nn n )( *Nn I )(nk k na k II 12)( nnk na n nS 21 15 O E I E II BA 6: 22 yxC OBOA 21,kk AB E OAB 22 15 Rt 21, xx I t II 1 D 2 B 3 A 4 B 5 A 6 D 7 C 8 C 9 D 10 C 10 ABDCDBCDAB , A,B BCDABD ABDCBCDA C 11 3 , 12 3 31 13 1, 14 ),1[ 2 15 21 16 . 17 2 16 1|ec||ec| 21 1|)-(|1|)(| 2121 eeceec 1|e-e| 21 1|)-(| 21 eec 1|cos|c|| 2 )()( 2121 eeee |sin||cos| 12 3 42 c 17 22 )]ln([ yxye x . 1xex , )ln(1)ln( yxyxyxyex 1)ln( yxyx 2)ln(1 yxyx 2)ln( yxyex 22 )]ln([ yxye x 1,0 yx AD A CADBAD BACCADBAD SSS AD A CADBAD DC2BD xDC xx 3BC,2BD ABD ABC AD A DC2BD 1ACAD CD H CDAH ACHRT CCHCAH cos,sin CBDosC cos4,cDH CBH cos5 ABHRT 4)(sin)cos5( 22 CC CAD BAC D BC ABD ADC sin)sin(2 DCBH PHBH HPHDC BH CDP PDBH PBPD BBHPB DP PBH ABCD 045A DCBH 1HC 1PHHC PHDP 1DP ),,( zyxP 2)1( 1)2( 1 222 222 222 zyx zyx zyx ABP ),,( zyxn 0 0 BPn BAn 1y DP PBH PBH HPBA --------------------15 ABCD 045A DCBH 1HC 1PHHC A PBH G A PB N NG ANG HPBA ---------9 A DCAM M CD DCBH BHAM // A PBH AG M PBH mh D PBH DP 1 1, PHDPPHDP MDP 0135,1 MDPDPDM AMPRT ABP AGNRT HPBA ------------15 ).(22),(2 )(22,2 nknnkn nkn a n nn n )( *Nn )(nk k na knn 22 *Nn nk n 22 *Nn nng n 22)( 2n 022222-22)1-(-)( 11- nnn nnngng *Nn 0)1()( gng 0k 12)( nnk 1222 nn n nn 2-2 52,42,32,22,12 252423222-1 5n nn 2-2 5n 582 2-5 )5(kkn kk 2-2 1kn 122 1 kkk 1kn nn 2-2 5n nn 2-2 4,22 31,2 1 nn na n n n 31 n 22 1n nS 4n )4(222 13 3 nSS n n 62)3)(4(8214 2 nnnn nn 4,62 3122 2 1 nnn n S n n n E E 12 13 112 nm nm 2 4 n m E AB AB tx A B 6: 22 yxC 2t AB E AB AB mkxy 6: 22 yxC ),(),,( 2211 yxByxA 622 yx mkxy 062)1( 222 mkmxxk 2 2121 2 2121 )()()( mxxkmxxkmkxmkxyy 24 22 km 42 22 yx mkxy 0424)21( 222 mkmxxk 024)42(214)4( 22222 kmmkkm AB E O AB AOB AB 24 22 km AB AOB )0(x 0)(xg 0)(xg 2 2ex 0t 2 2 3 ee 023)( 3 teeg 0t )1(222)( 2 ttt etteteg tettm 1)( 0t 01)( tetm 0)0(1)( mettm t 0t 0)1(222)( 2 ttt etteteg 0t 0)( 0xg 0x )(xg 12lnt 21, xx 21 xx 2 1 x xt 1t 0)1()( GtG 21, xx yx y xt 1t