四川省绵阳市2019届高三第二次诊断性考试 数学（文）试卷（PDF版含答案）

四川省绵阳市2019届高三第二次诊断性考试 数学（文）试卷（PDF版含答案）

1 5 2016 12 5 60 DBDAD BAACC CA 4 5 20 13 2 14 15 16 6 70 17 1 3Sn=4an 4 n 2 1 13 4 4n nS a 2 13 4 4n n na a a 14n na a n 2 3 n=1 1 13 4 4a a 1 4a {an} 4 4 5 {an} 4n na 6 2 = = 8 {bn} n 1 2 3n nT b b b b 12 18 1 2 (10.5 10)(79 78) (11 10)(80 78) =5 4 2 5 7 8 y x 2 58y x 9 2 x=8 2 8 58 74y |74 73|=1<2 10 x=8.5 2 8.5 58 75y |75 75|=0<2 11 12 19 1 3 cbcosA=b 3 c asinC 3 ccosA= 3 c asinC 2 3 sinCcosA= 3 sinC sinAsinC sinC 0 3 cosA= 3 sinA sinA 3 cosA= 3 4 sinA cosA= sin A = 00 ( )f x (0 2 m>0 0)(xf 0)(xf 1x m 4 5 )(xf (0 ) ( . 4 m 0 ( )f x (0 m>0 )(xf (0 ) )(xf ( . 5 2 g(x)=(x e)(lnx mx) x=e ( )= lnf x x mx ln 0x mx (0 y=m . ( )h x >0 0 ex ( )h x ( )h x <0 x>e ( )h x (e + ) y=m (0 e) (e + ) lnx mx=0 (0 e) (e + ) g(x) x1 e x3 0e 7 3 1 xt x t 2(1 e ] 1 3 lnln 1 lnln .1 tx t t tx t t 2(1 e ] 9 5 5 ( )t 2(1 e ] ( )t > (1) 0 ( ) 0t ( )t 2(1 e ] ( )t 2(e ) = x1x3 x1x3 12 22 1 C C 2 2( 2) 9x y 2 2 4 5 0x y x 2 cosx siny C 2 4 cos 5 0 4 2 (cos sin ) t OM = 6 2 4 cos 5 0 P 1 Q 2 1 2 5 8 |OP| |OQ|=5 9 |OM| |OP| |OQ|=10 5 =10 t= 10 23 1 m=1 ( )f x |x 1| |x 3|+|2x 1|>4 x 3 |x 3|+|2x 1|=3x 4>4 x+2>4 x>2 2 3x 3 x 4 3x>4 x<0 x<0 4 {x|x<0 x>2} 5 2 t<0 7 6 5 = = ( )f tx ( )f tx ( ) ( )tf x f tm 10