1、g1594g1437g2733g1929g3316g3888g3275g3477 g13071g3994g271g16436g3994g272 2018年秋期六校第一次联考 高二年级数学试题 g2657g3477g3888g3790g289g2706g4314g4002g1594 g2657g3477g3078g289g3590g2467g2009 g3212g3477g3078g289g3665g1181g1506 g271g2217g3275g3240g1975g289120g1491g4402 g3275g2172g2561g1491g289150g1491g272 第卷 选择题(共60
2、分) g1078g573g17983g6431g20174g948g7522g3933g20174g195912g1120g4677g20174g952g8709g4677g201745g2108g952g195960g2108g714g3422g8709g4677g20174g13583g2096g11450g3345g1120g17983g20143g1123g952g2592g7487g1078g20143g7269g12636g2622g20174g11556g16311g8824g11450g714g949 1g714g3416g12665g5150g7072g2119 na g11
3、17g712 1a g7292g712 3 5a a+ g72910g712g2121 7a g729g708g3g3g709 Ag7145 Bg7148 Cg71410 Dg71414 2g714g3416 ABC g1117g712g14613 13,cos 2a A= = g712g2121 ABC g11444g3910g6613g3382g2426g5556g7263g708g3g3g709 Ag71412 Bg714 32 Cg7142 3 Dg714 3 3g714g16878 ABC g11444g1973g16386 , ,A B Cg11444g4649g17897g210
4、2g2139g1130 , ,a b cg714g14613 32, 2 3,cos 2a c A= = = g712g1092b cg728 g712g2121b =g708g3g3g709 Ag714 3 Bg7142 Cg7142 2 Dg7143 4g714g16878g12665g8708g7072g2119 na g11444g2173ng20137g2748g1130 nS g714g14613 2 3S = g712 4 15S = g712g2121 6S g729g708g3g3g709 Ag71431 Bg71432 Cg71463 Dg71464 5g714g3416
5、ABC g1117g712 4, 4 3, 30,a b A= = = g2121g16386Bg12665g1214g708g3g3g709 Ag71430g101 Bg71430g101g6214150g101 Cg71460g101 Dg71460g101g6214120g101 6g714g3416g7072g2119 na g1117g712 1 2a = g712 1 1ln(1 )n na a n+ = + + g712g2121 na =g708g3g3g709 Ag7142 lnn+ Bg7142 ( 1)lnn n+ g3g3 Cg7142 lnn n+ Dg7141 ln
6、n n+ + 7g714g6209g3373g2580g1299g7072g4502g2621g14983g457g12743g8965g13583g4551g458g1117g7481g4018g1083g19486g20168g726“g17932g7499g5117g5117g3716g1075g4722g712g13522g1913g9961g9961g1597g2256g3790g712g1953g9887g1081g11438g1947g2417g1072g712g16935g19486g4678g3940g2064g11519g9887g731”g5951g5709g7263g7
7、26g1072g53357g4722g3716g1953g6450g1206381g11519g9887g712g1092g11560g18155g1108g4722g1117g11444g1083g1072g4722g9887g7072g7263g1082g1072g4722g9887g7072g114442g1597g712g2121g3716g11444g20134g4722g1953g7481g9887g708g3g3g709 Ag7141g11519 Bg7143g11519 Cg7145g11519 Dg7149g11519 g1594g1437g2733g1929g3316g38
8、88g3275g3477 g13072g3994g271g16436g3994g272 8g714g16878g7072g2119 na g9489g17379 2 11 2 32 2 2 ( *)2n n na a a a n N+ + + + = g258 g15g2121g7072g2119 na g17994g20137g1948g5439g7263g708g3g3g709 Ag714 12na n= Bg714 112n na = g3g3 g3 Cg714 12n na = Dg714 112n na += 9g714g3416g440ABCg1117g712g146132cos
9、sin sinB A C= g712g2121g440ABCg11444g5522g10470g1072g4554g7263g708g3g3g709 Ag714g12665g14240g11556g16386g1081g16386g5522 Bg714g11556g16386g1081g16386g5522 Cg714g12665g14240g1081g16386g5522 Dg714g12665g17897g1081g16386g5522 10g714g3416 ABC g1117g712 , ,a b cg2102g2139g1130 , ,A B Cg6256g4649g11444g17
10、897g712g1092( )( ) ( )a c a c b b c+ = + g712g2121g16386A =g708g3g3g709 Ag71445 Bg71460 Cg71490 Dg714120 11g714g4018g3374g712g1278g8772g10803Ag1082g9083g5575g8595g2173g7145g11444g8931g9073g11444g1108g4840Bg712Cg11444g1567g16386g2102g2139g113075g101g71230g101g712g8596g7206g8772g10803g11444g20744g7263
11、60mg712g2121g8931g9073g11444g4589g5334BCg12665g1214g708g3g3g709 Ag71430( 3 1)+ m Bg714120( 3 1) m Cg714180( 2 1) m Dg714240( 3 1) m 12g714g7072g2119 na g11444g17994g20137g1948g5439g1130 1 213 3 ,n n n n na n b a a a+ += = g712 nS g7263g7072g2119 nb g11444g2173ng20137g2748g712g2121 nSg11444g7472g3927
12、g1644g1130g708g3g3g709 Ag714280 Bg714300 Cg714310 Dg714320 第卷 非选择题(共90分) g1218g573g3745g12464g20174g948g7522g3933g20174g19594g4677g20174g952g8709g4677g201745g2108g952g195920g2108g714g949 13g714g12665g8708g7072g2119 na g11444g2612g20137g3447g1130g8595g7072g712g1092 1 5a a g7294g712g2121 2 1 2 2 2 3 2
13、 4 2 5log log log log loga a a a a+ + + + = . 14g714g3416g7072g2119 na g1117g712g1958g2173ng20137g2748 3 2nnS k= + g712g14613g7072g2119 na g7263g12665g8708g7072g2119g712g2121g5224g7072kg11444g1644g1130_. 15g714g3416g440ABCg1117g712g16386Ag451Bg451Cg6256g4649g11444g17897g2102g2139g1130ag451bg451cg712
14、g14613sin Ag729 3sin Cg712Bg72930g712bg7292g712g2121g17897cg729_. 16g714g3416g7072g2119 na g1117g712g14613 1 1a = g712 1 2 3( 1)n na a n+ = + g712g2121g16917g7072g2119g11444g17994g20137 na g729g3g3g3g3 . g1594g1437g2733g1929g3316g3888g3275g3477 g13073g3994g271g16436g3994g272 g1087g573g16409g12682g20
15、174g948g7522g3933g20174g19596g4677g20174g952g195970g2108g714g16409g12682g5322g1999g2096g7101g4493g16938g7236g573g16887g7236g17917g12353g6220g9546g12749g8603g20698g714g949 17g714g708g7516g4671g20168g9489g210210g2102g709 g3 g440ABCg11444g1973g16386Ag712Bg712Cg6256g4649g11444g17897g2102g2139g1130ag712b
16、g712cg714 g7081g709g14613 , ,a b cg6208g12665g5150g7072g2119g712g16881g7230g726 ( )sin sin 2sinA C A C+ = + g727 g7082g709g14613 , ,a b cg6208g12665g8708g7072g2119g712g1092 2c a= g712g8818cosBg11444g1644g714 18g714g708g7516g4671g20168g9489g210212g2102g709 g7072g2119 na g9489g17379 1 2 2 11, 2, 2 2n
17、n na a a a a+ += = = + g714 g7081g709g16878 1n n nb a a+= g712g16881g7230bng7263g12665g5150g7072g2119g727 g7082g709g8818 na g11444g17994g20137g1948g5439g714 g1594g1437g2733g1929g3316g3888g3275g3477 g13074g3994g271g16436g3994g272 19g714g708g7516g4671g20168g9489g210212g2102g709 g3416g19264g16386 ABC g
18、1117g712 1, 2BC B A= = g714 g7081g709g8818cosACAg11444g1644g727 g7082g709g8818ACg11444g2566g1644g14643g3364g954 20g714g708g7516g4671g20168g9489g210212g2102g709 ABC g11444g1973g16386 , ,A B Cg6256g4649g11444g17897g2102g2139g1130 , ,a b cg712g2625g18431 ( ), 3m a b= g1086 ( )cos ,sinn A B= g5283g15996
19、g714 g7081g709g8818Ag727 g7082g709g14613 7, 2a b= = g712g8818 ABC g11444g19858g12319g714 g1594g1437g2733g1929g3316g3888g3275g3477 g13075g3994g271g16436g3994g272 21g714g708g7516g4671g20168g9489g210212g2102g709 g12665g8708g7072g2119 na g1117g712g5154g11797 1 42, 16a a= = g714 g7081g709g8818g7072g2119
20、na g11444g17994g20137g1948g5439g2554g2173ng20137g2748 nS g727 g7082g709g16864 2logn nb a= g712g8818 n na b g11444g2173ng20137g2748 nT g714 g1594g1437g2733g1929g3316g3888g3275g3477 g13076g3994g271g16436g3994g272 22g714g708g7516g4671g20168g9489g210212g2102g709 g16878g8595g20137g7072g2119 na g11444g217
21、3ng20137g2748 nS g712g1092g9489g17379 22 n n nS a a= + g714 g7081g709g8818g7072g2119 na g11444g17994g20137g1948g5439g727 g7082g709g14613g7072g2119 1 22 1n nnn na aba a+ + += + g712g7072g2119 nb g11444g2173ng20137g2748g1130 nT g712g8818g16881g726 12 2nT n+g728 g714 g1594g1437g2733g1929g3316g3888g1235
22、g803 g13071g3994g271g16435g3994g272 g2g19g22018年秋期六校第一次联考高二年级数学答案g1078g573g17983g6431g20174g948g7522g3933g20174g195912g1120g4677g20174g952g8709g4677g201745g2108g952g195960g2108g3422g8709g4677g20174g13583g2096g11450g3345g1120g17983g20143g1123g952g2592g7487g1078g20143g7269g12636g2622g20174g11556g16311
23、g8824g11450. g949 g3477g1756g3 1 2 3 4 5 6 7 8 9 10 11 12 g1235g803g3 B D B C D A B C C D B C g1218g573g3745g12464g20174g948g7522g3933g20174g19594g4677g20174g952g8709g4677g201745g2108g952g195920g2108.g949 13g7145 14g714-3 152 16g714 12 3n+ g1087g573g16409g12682g20174 g948g7522g3933g20174g19596g4677g
24、20174g952g195970g2108.g16409g12682g5322g1999g2096g7101g4493g16938g7236g573g16887g7236g17917g12353g6220g9546g12749g8603g20698.g949 17. g16403g726 g7081g709g296a b cg6208g12665g5150g7072g2119g712g3g3g3g3g3g295ag711cg7292b -2g2102 g11105g8595g5462g4554g10806g5575 sin Ag711sin Cg7292sin Bg714-4g2102 g29
25、6sin Bg729sing713(Ag711C)g729sin(Ag711C)g712g295sin Ag711sin Cg7292sin(Ag711C)g714-5g2102 g7082g709g11105g20168g16878g7481b2g729acg712-7g2102 g2552cg7292ag712 g295bg729 2ag714- 8g2102 g11105g1417g5462g4554g10806g5575cos Bg729a2g711c2g713b22ac g729a2g7114a2g7132a24a2 g72934g714-10g2102 18. g16403g726
26、 g7081g709g11105 2 12 2n n na a a+ += + g712g5575 g2g2g2g2g2 2 1 1 2n n n na a a a+ + + = + g712-3g2102g2467 1 2n nb b+ = + g714 g2552b1g729a2g713a1g7291g712-5g2102 g6256g1301bng7263g20422g20137g11301g712g1948g5150g11302g11444g12665g5150g7072g2119g714-6g2102 g7082g709g11105g7081g709g5575bng7291g7112
27、(ng7131)g712 g1594g1437g2733g1929g3316g3888g1235g803 g13072g3994g271g16435g3994g272 g2g20g2g2467 1 2 3n na a n = g714-8g2102g1214g7263 1 1 2 3 2 3na a n = + + + g258 -10g2102g6256g1301 21 1)na n = g11 g2467 2 2 2na n n= + g6256g1301ang11444g17994g20137g1948g5439ang729n2g7132ng7112g714-12g210219. g16
28、403g726 g7081g709g16878 , 2 .A B = = g11105g8595g5462g4554g10806g5575 , 1 2.sin 2 sin 2cos cosAC BC AC AC = = = -4g2102 g7082g709g11105g19264g16386g55750 2 90 0 45 g712g6256g1301 3c = g712-10g2102 g7029 ABC g19858g12319g11301 3 3sin2 2bc A = .-12g2102 g16403g8965g1212g726g11105g8595g5462g4554g10806g
29、712g5575 7 2sinsin 3 B= g1278g13884 21sin 7B = -8g2102 g2552g11105a b g11797A Bg712g6256g1301 2 7cos 7B = -9g2102 g7029sin sin( ) sin( )3C A B B = + = + 3 21sin cos cos sin3 3 14B B = + = g712-11g2102 g6256g1301 ABC g19858g12319g11301 3 3sin2 2ab C = .-12g210221. g16403: g7081g709g3344g1130g12665g87
30、08g7072g2119g5575g2144 3 34 1 2 16a a q q= = = g6256g1301 2q = g6256g1301 2na = -2g2102 g6256g1301 12(1 2 ) 2 21 2nnS += = -4g2102g7082g709 2log 2nnb n= = -6g2102g1594g1437g2733g1929g3316g3888g1235g803 g13074g3994g271g16435g3994g272 g2g22g2g6256g1301 2nn na b n= -7g2102 g2g2g2g2g2 1 2 31 2 2 2 3 2 2
31、 #(1)nnT n= + + + + g258 g2g2g2g2 2 3 4 12 1 2 2 2 3 2 2 #(2)nnT n += + + + + g258 (1)-(2)g5575g2144 g2g2g2g2g2 1 2 3 11 2 1 2 1 2 1 2 2n nnT n + = + + + + g258 -10g2102 g2g2g2g2g2 1(1 )2 2nn += g6256g1301 1( 1) 2 2nnT n += + -12g2102 22. g16403: g7081g709g11105g20168g5951g2591g5575 2 21 1 12 ,2n n
32、n n n nS a a S a a = + = + g712 g1108g5439g11560g2047g5575g7122 21 12 n n n n na a a a a = + + -2g2102 g6256g1301 2 2 1 1 0n n n na a a a = g712g2467 1 1( )( 1) 0n n n na a a a + =g2552g3344g1130g7072g2119 na g1130g8595g20137g7072g2119g712g6256g1301 g2g2g2g2g2 1 1n na a = .-4g2102 g2467g7072g2119 na
33、 g1130g12665g5150g7072g2119g712g2552 1n = g7206g712 21 1 12a a a= + g712g6256g1301 1 1,a = g2g2g2g2 1na a n n= + = .-6g2102g7082g709g11105g7081g709g11797 1 22 1n nb n n+ += + + g712-8g2102 g2552g3344g1130 g1594g1437g2733g1929g3316g3888g1235g803 g13075g3994g271g16435g3994g272 g2g23g21 2 1 1 1 11 1 22 1 2 1 1 2nn nbn n n n n n+ += + = + + = + + + + + + + g712-10g2102 g6256g1301 1 2n nT b b b= + + + g2g2g2g2g2 ( ) 1 1 1 1 1 12 2 2 2 3 3 4 1 2n n = + + + + + + + + + g6256g1301 1 2n nT b b b= + + + g2g2g2g2g2 1 1 12 22 2 2n nn= + + g728 .-12g2102