绵阳市高中2016级第三次诊断性考试 文科数学（扫描版） 7页

1 5 2016 12 5 60 BCDBA CABCD BC 4 5 20 13 1 14 2 4 15 16 24 6 70 17 1 nan 1 (n+1)an=1+2+3+ +n= ( 1) 2 n n 2 5 1 6 2 1 8 10 12 18 1 2 2 24 40 64 6 30 36 30 70 100 3 >3.841 5 95% 7 2 5 4 A1 A2 2 5 A3 A4 1 B. 5 2 A1A2 A1A3 A1A4 A1B A2A3 A2A4 A2B A3A4 A3B A4B 10 9 2 A1A2 A1A3 A1A4 A2A3 A2A4 A3A4 6 11 2 12 19 1 BD AC O EO E PD O BD EO PBD 3 PB//EO EO= PB EO EAC PB EAC PB// EAC 5 2 PAB PA=AB=2 PAB 120º PB2=PA2+AB2 2PA ABcos120 =12 PB= 6 EO= AE EC O AC AC=2EO= . ABO BO= . 8 PAD PF AD DA F PAD ABCD PAD ABCD=AD PF ABCD PF P ABCD . E PD E ABCD h PF 10 PFA PF=PAsin60°=2 = VB AC E=VE-ACB= VP-ABC = S ABC = 12 P E D C A B O F 3 5 20 1 B( 3 ) E 2 a2=b2+c2 a2=b2+5 b2=4 a2+b2+c2=9 E 4 2 1 1( )M x y 1 2( )N x y PM =(x1 y1 ) PN =(x2 y2 ). 3PN PM (x2 y2 )=3(x1 y1 ) x2=3x1 6 2 2 2 3 19 4 y kx x y y 8 2 8 9k 9 2 8 9k 4 2 3k 11 l 4 2 3k 12 21 1 a 0 ( )f x <0 ( )f x (1 + ) (1)f =0 ( )f x 0 2 4 5 a>0 ( )f x >0 ( )f x <0 01 ( )f x (1 ) ( + ) ( )f x 0 0 ( ) ln 1h a a a a ( ) ln 1 1 ln 0h a a a h(a) (0 1) h(1)=0 h(a)<0 a 4 ii a 1 0< 1 ( )f x (1 + ) (1)f =0 ( )f x 1 a 1 6 2 ( )f x > ( )g x ( )f x > ( )g x p(x)=xlnx+1 ( ) ln 1p x x ( )p x >0 ( )p x <0 p(x) (0 ) ( + ) p(x) p( )=1 9 ( )q x >0 01 q(x) (0 1) (1 + ) q(x) q(1)= 3 2e 11 1 >0 p(x)>q(x) 12 5 5 22 1 2(1 cos2 ) 2 cos 8sin 2 2cos 4 sin 2 cosx siny x2=4y C x2=4y 4 2 l y F(0 1) C |FA|=|t1| |FB|=|t2| l cos 1 sin x t y t C x2=4y 2 2cos 4 sin 4 0t t cos 0 7 |FA| |FB|= |t1t2|= 4 2cos 1 |FA| |FB| l 1y 10 23 1 x 1 ( ) 3f x x 3 x 1 1 1