1、 2015-2016 1 12 5 60 1 A=x|y= B=y|y=ln 1+x AB= A 1 + B 2 C 1 2 D 2 a n a 1 a 4029 x 2 10x+16=0 log 2 a 2015 A 2 B 3 C 4 D 5 3 f x =3sin 2x + 0 f |x| =f x A B C D 4 y= x 0 P x 0 y 0 l l x y A B OAB O A 4+2 B 2 C 2 D 5+2 5 x x 2 +2ax+4 0 x R f x =log a x a+2 1 + A B C D 6 A B C O ABC P ABC = + 0 + AP
2、ABC A B C D 7 f x =lnx+2sin 0 f x x 0 1 f x 0 =f x 0 A B 0 C D 0 8 y=f x 2 y=2sin f x A 2sin B 2sin C 2sin D 2sin 9 x y z=3x+y 8 m A B C 2 D 1 10 A 4 B C 2 D 11 C 1 C 2 F 1 F 2 P F 1 PF 2 =60 C 1 A B C D 12 f x R x R f x 2 f x 1 x 2 3 2lnx +3 1 2x A 0 1 B 1 + C + D 1 4 5 20 13 e=2 14 ABC |cos ACB=|c
3、os CAB= =0 AB 15 x y 2x+y 3=0 16 P ABCD 2 DAB=60 60 5 70 17 ABC A B C a b c a 2 b c 2 = 2 bc sinAsinB=cos 2 1 B 2 a n a 1 cos2B=1 a 2 a 4 a 8 n S n 18 ABC tanAtanB= 1 tanC 2 ABC AB CD=2 ABC S 19 ABCD BCEG AD BC CE BG BCD= BCE= ABCD BCEG BC=CD=CE=2AD=2BG=2 1 AG BDE 2 BDE ADE 20 A 1 2 0 A 2 2 0 D 1 0
4、l M N C A 1 M NA 2 k 1 k 2 k 2 =k 1 21 f x = x 1 2 +a lnx x+1 a R a 1 x 1 + f x 0 a 2 1 f x +a+1=0 x 0 2 a 22 23 24 2B 4-1 22 AC O D E BC DE AB ACBC=2ADCD 4-4 23 xoy C 1 M C 1 P C 2 =2 C 2 O x = C 1 C 2 A B |AB| 4-5 24 2 |x 1| |x+2| 0 M a bM 1 |a+b| 2 |1 4ab| 2|a b| 2015-2016 1 12 5 60 1 A=x|y= B=y|
5、y=ln 1+x AB= A 1 + B 2 C 1 2 D A B A B A=x|y=x|x 2 B=y|y=ln 1+x =R AB= 2 B 2 a n a 1 a 4029 x 2 10x+16=0 log 2 a 2015 A 2 B 3 C 4 D 5 a 1 a 4029 =16 a 2015 =4 log 2 a 2015 a n a 1 a 4029 x 2 10x+16=0 a 1 a 4029 =16 a n 0 a 2015 =4 log 2 a 2015 =log 2 4=2 A 3 f x =3sin 2x + 0 f |x| =f x A B C D f x +
6、=k+ f x =3sin 2x + 0 f |x| =f x f x +=k+ =k+ kZ k=0 = C 4 y= x 0 P x 0 y 0 l l x y A B OAB O A 4+2 B 2 C 2 D 5+2 y = x x 0 A B y= y= y 0 = y|= l y = x x 0 x=0 y=2 y=0 x=2x 0 S=22x 0 =2 C 5 x x 2 +2ax+4 0 x R f x =log a x a+2 1 + A B C D a x x 2 +2ax+4 0 xR 0 4a 2 4 4 0 a 2 4 0 2 a 2 2 a 2 f x =log a
7、 x a+2 1 + 1 a 2 1 a 2 B 6 A B C O ABC P ABC = + 0 + AP ABC A B C D BC P AD += = + 0 + = A P D AD BC AP ABC A 7 f x =lnx+2sin 0 f x x 0 1 f x 0 =f x 0 A B 0 C D 0 f x 0 =f x 0 sin = ln x 0 0 x 0 1 sin f x = f x 0 = f x 0 =f x 0 =ln x 0 +2sin sin= ln x 0 0 x 0 1 ln x 0 sin C 8 y=f x 2 y=2sin f x A 2s
8、in B 2sin C 2sin D 2sin y=Asin x+ y=2sin f x y=Asin x+ f x y=2sin y=2sin 6x y=2sin 6x f x =2sin6 x =2sin 6x 2 =2sin B 9 x y z=3x+y 8 m A B C 2 D 1 z m 0 z=3x+y y= 3x+z y= 3x+z y= 3x+z A y= 3x+z z 8 3x+y=8 A 2 2 A 2mx y 2=0 4m 2 2=0 m=1 D 10 A 4 B C 2 D AQDP 2 ABCD AQDP 2 ABCD V= = D 11 C 1 C 2 F 1 F
9、 2 P F 1 PF 2 =60 C 1 A B C D C 1 +=1 a b 0 C 2 =1 m n 0 a 2 b 2 =m 2 +n 2 =c 2 a=3m c=m C 1 +=1 a b 0 C 2 =1 m n 0 a 2 b 2 =m 2 +n 2 =c 2 e 1 = e 2 = e 1 e 2 =1 am=c 2 PF 1 =s PF 2 =t 4c 2 =s 2 +t 2 2st=s 2 +t 2 st s+t=2a s t=2m s=a+m t=a m 4c 2 = a+m 2 + a m 2 a+m a m 4am=a 2 +3m 2 a=m a=3m c=m e
10、1 = D 12 f x R x R f x 2 f x 1 x 2 3 2lnx +3 1 2x A 0 1 B 1 + C + D 1 g x g x =f x 1 x 2 3 2lnx 3 1 2x g x =f x 1 +4xlnx 4x+6 h x =4xlnx 4x+6 h x =4lnx h x 0 x 1 h x 0 0 x 1 x=1 h x h 1 =2 f x 1 2 h x 2 f x 1 +h x 2+2=0 g x =f x 1 x 2 3 2lnx 3 1 2x 0 g x 0 + x=1 g 1 =f 1 1 1 2 3 2ln1 3 1 2 =0 f x 1
11、x 2 3 2lnx +3 1 2x g x 0 g x g 1 x 1 f x 1 x 2 3 2lnx +3 1 2x 0 1 A 4 5 20 13 e=2 y= x 2 a b b=a y= e=2 c=2a c 2 =4a 2 a 2 +b 2 =4a 2 b=a y= y= 14 ABC |cos ACB=|cos CAB= =0 AB 0 ABC=90 |cos ACB=|cos CAB= AB ABC=90 = A AB AB=BA CA=CA ACA=90 CAB=45 AB 15 x y 2x+y 3=0 9 x y 2x+y 3=0 y=3 2x 0 =t 2tx 2 9+3t x+18=0 0 x y 2x+y 3=0 y=3 2x 0 =t 2tx 2 9+3t x+18=0 = 9+3t 2 8 18t 0 t 2 10t+9 0 t 9 t 1 =t 1 x 3 2 0 t 9 t=9 =9 x 1 2 =0 x=1 9 x y 2x+y 3=0 4x+2y=6 =3= 2x+y =5+ 5+2 =9 x=y=1 9 9 16 P ABCD 2 DAB=60 60 P ABCD 2 DAB=60
