1、 g20750g1218g7078g4508g948g10812g949g2552g13881g12682g7806 g126421g20139g948g19598g20139g949 豫南九校20182019学年上期第二次联考 高二数学（理）参考答案 g980g451g17885g6333g20076g708g7424g3835g20076g186112g4579g20076g712g8611g4579g200765g2010g712g186160g2010g709 1g714g463g12676g7800g464A g463g16403g7616g464g19702g2616 ( ) (
2、)1 2,M = +g712 g712g19702g2616 1,4N = g712g6256g1301 ( 2,4M N = .g7029g17977A. 2g714g463g12676g7800g464D g463g16403g7616g464g11105g8595g5462g4554g10806g2591g5575g3910g6613g3382g2426g5556 22sinBCR A= = .g7029g17977Dg714 3g714g463g12676g7800g464C g463g16403g7616g464g3344g1130 5 33a a= g712g6256g1301 (
3、 )2 4 3 2 2d d+ = + g712 2 4d = g712 2d = g712 ( )9 9 8=9 2 2 = 542S + g714g7029g17977C. 4g714g463g12676g7800g464B g463g16403g7616g464g2137g11096g10409g1644g8965g6594g19604g712g5507 12 2a b= =g712 g7206g712 12 2 2 4b a= =g730 g712g6594g19604Ag727 2 2 14 4a b= =g730 g712g6594g19604Cg727 2 log 1bc a =
4、g730 g712g6594g19604D.g7029g17977B. 5g714g463g12676g7800g464A g463g16403g7616g464g3344g1130 4a g712 12a g7263g7145g12347 2 3 1 0x x+ + = g11444g1108g7785g712g6256g1301 4 12 1a a = g712g3344g8596 28 1a = g712g3344g11302 2a = g10922 2 1 + = ,g6256g13011 2 1 2( )(2 2 ) + = + + 2 46 6 4 2 = + + + g712(g
5、5507g1092g1269g55072 1 2 2,2 2 = = g7206g2566=)g712g70291 2 + g11444g7472g4671g1644g11306+4 2.g7029g17977Cg714 11g714g463g12676g7800g464D g20750g1218g7078g4508g948g10812g949g2552g13881g12682g7806 g126423g20139g948g19598g20139g949 g463g16403g7616g464g11105cos cos cos 0A B C g2591g11797g712g1081g16386
6、g5522 ABC g7263g19264g16386g1081g16386g5522g712g296 2B A= g712g295sin sin2 2sin cosB A A A= = g712 g11105 g8595 g5462 g4554 g10806 g5575 2 cosb a A= g712 g295 12cosab A= g712 g295sin sin 1tan2cos 2a A A Ab A= = g714g296 ABC g7263g19264g16386g1081g16386g5522g712 g2950 20 2 20 =-3A g712g295A B g712g24
7、67Bg1130g19264g16386g712g295 6B = . g463g16403g7616g1212g464g296 1sin cos sin cos 2a B C c B A b+ = g712g1092 cos cosa C c A+ =b g295sinB=12 ,g712 g20750g1218g7078g4508g948g10812g949g2552g13881g12682g7806 g126424g20139g948g19598g20139g949 g2552g296a bg295g69g1130g19264g16386g295 6B = 14g714g463g1267
8、6g7800g464(1, 2 g463g16403g7616g464g296 ABC g11444g1081g17897a b cg712 g712 g6208g12665g8708g7072g2119g712g295ac=b2=a2+c2g7132accosBg3052acg7132accosB g712 g5575 1cos 2B g712 g2552 g296 0 B g712g6256g1301 2nS n= .g365g3652g2102 g5507 1n = g7206g712 1 1a = g727g365g365g365g3653g2102 g5507 2n g7206g71
9、2 ( )221 1 2 1n n na S S n n n= = = g712g365g365g365g3655g2102 1 1a = g9489g17379 2 1na n= g712g6256g1301g7072g2119 na g11444g17994g20137g1948g5439g1130 2 1na n= . g365g365g365g3656g2102 g20750g1218g7078g4508g948g10812g949g2552g13881g12682g7806 g126425g20139g948g19598g20139g949 g7082g709 nn nb a=（-1
10、） g712 2 1 2 3 4 2 1 2 2 2 2 2 2n n nT b b b b b b n= + + + + = + + + + = g2467g7072g2119 nb g11444g21732ng20137g2748g1130 2 2nT n= .g365g365g365g36510g2102 18g714g708g7516g20168g9489g210212g2102g709 g463g16403g7616g464g7081g709g8965g1072g726g11105g8595g5462g4554g10806g712g55753sin cos sin cos sin c
11、osA A B C C B= + g712 g2467 ( )3sin cos sin sinA A B C A= + = g712 g25520 A + + g712g2121 2 10x + g6214 1x m g6214 2x .g365g365g36510g2102 g20750g1218g7078g4508g948g10812g949g2552g13881g12682g7806 g126426g20139g948g19598g20139g949 g3344g1130 q g7263 p g11444g1909g2102g1085g5621g16305g7569g1318g712g6
12、256g1301 2 1 1 10mm g712g6256g13010 3m0g712g2552m(x2g713xg7111)g7136+1 14036 2n +g712g16403g5575 4034n g712g2552 *n N g712g6256g1301 min 4035n = .g365g36512g2102 22g714g708g7516g20168g9489g210212g2102g709 g463g16403g7616g464 g7081g709g3344g1130 21 1n n nS S a+ + = g712g311 g6256g1301g5507 2n g7206g7
13、12 21n n nS S a+ = g712 g312 g3 g3g311g16g312g5575g726 2 21 1n n n na a a a + + = g712g2467 1 1 1( )( )n n n n n na a a a a a+ + + = + g712 g3344g1130g7072g2119 na g11444g2612g20137g3447g1130g8595g7072g712g6256g1301 1 0n na a+ + g712g1092 0 g712 g6256g1301 1 1n na a + = g714g365g365g365g3653g2102 g1
14、1105g311g11797g712 22 1 2S S a+ = g712g2467 21 2 22a a a+ = g712g2552g3344g1130 1 1a = g712g6256g1301 2 2a = g714 g6256g1301 2 1 1a a = g714g365g365g365g3654g2102 g5507 1n = g7206g712 1 1( )n na a n N + = g712g6256g1301g7072g2119 na g7263g20422g20137g11301g6208g12539g712 g1948g5150g11301g11444g12665
15、g5150g7072g2119g714 g20750g1218g7078g4508g948g10812g949g2552g13881g12682g7806 g126428g20139g948g19598g20139g949 g6256g1301 1 1( 1)n na n = + = g714g365g365g365g3655g2102 g7082g709g11105g7081g709g5575 n na = g712g6256g1301 1nnb n = i g712 g6256g1301 2 2 11 2 3 ( 1) n nnT n n = + + + +g258g14 g712 g31
16、3 2 3 12 3 ( 1) n nnT n n = + + + +g258g14 g712 g314 g313g16g314g712g5575 2 1(1 ) 1 n nnT n = + + + g258 g712g365g365g365g3658g2102 g5507 0 g1092 1 g7206g712 1(1 ) 1nnnT n = g712 g16403g5575 21(1 ) 1n nnnT = g727g365g365g365g36510g2102 g5507 1 = g7206g712g11105g313g55752( 1)1 2 3 ( 1) 2 2n n n n nT n n + += + + + + + = =g258 g727g365g365g365g36511g2102 g13612g1082g712g7072g2119 nb g11444g2173ng20137g274822, =121, 0, 1(1 ) 1n n nn nT n += g365g365g365g36512g2102
