1、2017 . 12 1-6 4 7-12 5 54 1 A= 2 1 B= 1 2 3 A B= 2 z z 1 i =2 i z= 3 lg x 3 +lgx=1 x= 4 f x =log a x a 0 a 1 f 1 1 =2 f 1 x = 5 a x 2 1+a x 6 y 2 =2px p= 7 1010 2015 8 1 9 mn 0 m n=m 2 n 2 m+n= 10 a n q n S n n N * S n 0 q 11 0 2 12 f x = sin x+ c os x 0 x R f x y=f x x = . 4 5 20 13 “ mn 0” “ m x 2
2、 +ny 2 =1 ” A B C D 14 f x 2=0 0 y=f x A B C D 15 0 2 = A 0 B C D 16 A 1 A 2 A 3 A 4 B 1 B 2 B 3 B 4 1 x|x= i 1 2 3 4 j 1 2 3 4 A 1 B 2 C 3 D 4 . 5 14+14+14+16+18=76 17 5 4 M PA AB C AB 1 P ACO 2 MC PO 18 a 0 f 1 =2 1 a f x 2 f x+1 f x 2 19 P A B 0 90 b C A 45 B 0 90 0 + 90 CB b 20 P l A B P AB 1 2
3、P x 0 2 l 3 |OA| |OB| 21 a n n S n n N * a n “ ” 1 a 1 =1 a 3 =x a 4 =4 x 2 a n a 1 d 0 d a 1 a n “ ” 3 a n q a n S n “ ” q 2017 . 12 1-6 4 7-12 5 54 1 A= 2 1 B= 1 2 3 A B= 1 A= 2 1 B= 1 2 3 A B= 1 1 2 z z 1 i =2 i z= 1+i 1 i z 1 i =2 z 1 i 1+i =2 1+i 2z=2 1+i z=1+i 1+i 3 lg x 3 +lgx=1 x= 5 0 lg x 3
4、 +lgx=1 x=5 5 4 f x =log a x a 0 a 1 f 1 1 =2 f 1 x = f 2 =log a 2= 1 a= f 1 1 =2 f 2 =log a 2= 1 a= f 1 x = 5 a x 2 1+a x 1 x a x 2 1+a a x 2 1 a x 2 1 max0 x 2 1 max 1 x 1 x 1 6 y 2 =2px p= 4 p 2 0 y 2 =2px p=4 4 7 1010 2015 5 a 2015+a=1010 2 a=5 5 8 1 3 3 = 9 mn 0 m n=m 2 n 2 m+n= 1 mn 0 m n=m 2
5、n 2 m=m 2 n=n 2 n=m 2 m=n 2 mn 0 m n mn 0 m n=m 2 n 2 m=m 2 n=n 2 n=m 2 m=n 2 mn 0 m n m=m 2 n=n 2 mn 0 m n n=m 2 m=n 2 mn 0 m n n m=m 2 n 2 m+n= 1 1 10 a n q n S n n N * S n 0 q 1 0 0 + n q 1 S n 0 a 1 0 0 q q 1 S n = S n 0 a 1 0 0 q 1 1 q n 0 q n 1 q 1 q n 1 q=1 a 1 0 S n 0 q 1 1 q n 0 0 q 1 1 q n
6、 0 1 q 0 1 q n 0 q 1 n 1 q n 0 q= 1 1 q n 0 q 1 0 0 + 1 0 0 + 11 0 2 x 2 =y 0 x 0 y 2 x 2 =1+ sin x 2 =y 0 2 |cos +sin |=| sin + | 0 1+ sin = cos +sin 2 0 2 x 2 =y 0 x 0 y 2 12 f x = sin x+ c os x 0 x R f x y=f x x = y=Asin x+ f x = sin x+ 2k x+ 2k+ k Z f x k Z k=0 x+ = k+ f x x= k Z 2 = f x = sin x
7、+ c os x = sin x+ f x 0 2k x+ 2k+ k Z f x k Z k Z 0 2 0 2 2k k Z k Z k=0 x+ = k+ f x x= k Z y=f x x = 2 = = . 4 5 20 13 “ mn 0” “ m x 2 +ny 2 =1 ” A B C D + =1 “ mn 0” “ mn 0” “ mx 2 +ny 2 =1 ” + =1 mn 0 “ mn 0” “ mx 2 +ny 2 =1 ” “ mn 0” m n 0 mx 2 +ny 2 =1 + =1 “ mn 0” + =1 “ mn 0” “ mx 2 +ny 2 =1
8、” mx 2 +ny 2 =1 + =1 mn 0 “ mn 0” “ mx 2 +ny 2 =1 ” “ mn 0” “ mx 2 +ny 2 =1 ” C 14 f x 2=0 0 y=f x A B C D f x 2=0 0 f x y=2 0 A y=2 0 2 B y=2 C y=2 0 + D y=2 0 D 15 0 2 = A 0 B C D f x f x +f x =0 x 0 x 0 f x = x 2 +cos x+ f x =x 2 sinx x 2 +cos x+ +x 2 sinx=0 k Z 0 2 = D 16 A 1 A 2 A 3 A 4 B 1 B 2
9、 B 3 B 4 1 x|x= i 1 2 3 4 j 1 2 3 4 A 1 B 2 C 3 D 4 i j 1 2 3 4 x|x= i 1 2 3 4 j 1 2 3 4 A 1 A 2 A 3 A 4 B 1 B 2 B 3 B 4 1 i j 1 2 3 4 = + + = + + =1 x|x= i 1 2 3 4 j 1 2 3 4 1 A . 5 14+14+14+16+18=76 17 5 4 M PA AB C AB 1 P ACO 2 MC PO 1 AB=8 OC=4 OC AB PO=3 P ACO 2 O OC x OB y OP z MC PO 1 5 4 M P
10、A AB C AB AB=8 OC=4 OC AB PO= = =3 P ACO V P ACO = = =8 2 O OC x OB y OP z A 0 4 0 P 0 0 3 M 0 2 C 4 0 0 O 0 0 0 = 4 2 = 0 0 3 MC PO c os= = = MC PO arccos 18 a 0 f 1 =2 1 a f x 2 f x+1 f x 2 1 2 x 1 a 0 f 1 =2 log 2 a 2 +a 2 =2=log 2 4 a=2 f x =log 2 2 2x +2 x 2 t=2 2x +2 x 2 0 x 0 f x 0 + 2 f x+1
11、f x 2 log 2 2 2x+2 +2 x+1 2 log 2 2 2x +2 x 2 2=log 2 4 2 2x+2 +2 x+1 2 4 2 2x +2 x 2 2 x 3 x log 2 3 x 0 0 x log 2 3 0 log 2 3 19 P A B 0 90 b C A 45 B 0 90 0 + 90 CB b B=90 + PBC B=90 + PBC PC=b 20 P l A B P AB 1 2 P x 0 2 l 3 |OA| |OB| 1 a b y= x 2 y=2 P A m 2m B n 2n A B 3 P x 0 y 0 A m 2m B n 2n m n 1 a=1 b=2 y= x y= 2x 2 y=2 x 0 2 =1+ =2 x 0 = A m 2m B n 2n P AB m+n=2 2m 2n=4 m= +1 n= 1 A +1 2 +2 PA k= =2 l y 2=2 x y=2 x 2 3 P x 0 y 0 x 0 2 =1 A m 2m B n 2n P AB m+n=2x 0 2m 2n=2y 0 m=x 0 + y 0 n=x 0 y 0 |
