1、 2018 1 I II 2 120 150 3 2B 4 A (100 10 3 30 1. 1 0 2 2 x 2 0 3 2 2 x x 3 0 3 2 x 4 0 1 2 x x 5 0 5 2 3 2 x x 6 x x x x 5 ) 1 )( 2 ( 2 1 2 2 A 2 B 3 C 4 D 5 2 A x 2 2x 99=0 x 1 2 =100 B 3x 2 4x 2=0 x 2 = C 2t 2 7t 4=0 t 2 = D x 2 +8x+9=0 x+4 2 =25 3 ABC P AB CP APC ACB A. ACP= B B. APC= ACB C. AC 2
2、=AP AB D. BC AB CP AC 4. ABC BAC=90 AD BC D AB=2 BC=3 CD A 5 3B 2 3C 4 3D 8 35 ABC CD AB CD=5 6 5 tan A , 13 5 sin B , c b a , , A. 18 , 13 , 61 B. 18 , 61 , 13 C. 13 , 12 , 11 D. 11 , 12 , 13 6 ABC AC BC ABC=30 D CB BD=BA tan DAC A 2+ B 2 C 3+ D 3 7 ) , ( ), , ( ), , 3 3 3 2 2 2 1 1 1 y x P y x P y
3、 x P x y 2 1 x 2 x 0 3 x 3 2 1 , , y y y A y3 y2 y1 B y1 y2 y3 C y2 y1 y3 D y2 y3 y1 8 x k y k x y A B C D 9 1 ABC A B C D 10 2 ax y a x y 2 A B C D 4 4 16 11 x x x 3 ) 3 ( 12 BE CD O EDO= CBO 13 A x y 1 B x OA=BA AOB 14 22 ( 16) 3 y x m x m y m= 6 54 15. 12 1 60 cos 30 cos 2 30 sin ) 21 tan 3 1 21
4、(sin 2 3 2 ) 2 1 ( 0 2 2 m 0 1 2017 2 x x 3 2017 1 2018 2 2 m m m 16 6 1 20 3 2 4.8 17 8 C B 306 C B C CD 195 D CD i=1 2.4 D A 20 AB 0.1 sin20 0.342 cos20 0.940 tan20 0.364 18. 8 1 ABC A B C O 1 O 2 ABC A B C 3 O A B C O A B C A B C 19 10 xOy y x 2 1 x k y A a 2 B 1 B 2 P P y AB C PO POC 3 P 20 10 A
5、BCD AC BD BD E F M AB BC BN ABE AM N AB=AC=BD MF NF 1 BMN 2 MFN BDC B (50 4 20 21. x 2 ) 3 ( 3 3 2 2 x x x x 5 3 2 x x 22 A B x k y AC y C BD x D AC=BD= 4 1 OC S ABDC=14 k = 23. x y 3 4 x k y x0 A x y 3 4 x k y x0 B x C k= 24 l1 l2 l3 l4 1 ABCD sin = 25 A 2 15 60 15 2 C 75 B 1 C 2 3 30 26 8 x 0 18 )
6、 1 3 ( 3 ) 1 ( 2 2 x m x m m , a b 0 8 2 2 a m a m 0 8 2 2 b m b m 1 m 2 b a a b 27 10 OA OB AB x C A 1 y= 1 y= 2 x P S AOP= S AOB P 3 BOA B BDE E E 28. 12 ABC AB=AC=5 BC=6 ABC DEF DEF ABC ABC DEF E BC B C DE A EF AC M E B C 1 ABE ECM 2 EM AB BE 3 DEF BE ABC DEF 2017 2018 A (100 CDDAB ACDAB 11. 1 ,
7、3 2 1 x x 12. 2 13. 1 14. 4 15. 1 1 2 2 16. x 20 1+x 2 20 1+x =4.8 x1=0.2 x2= 1.2 0.2=20% 20% 17. DE AB E AF DE F DE=xm CE=2.4xm x 2 + 2.4x 2 =195 2 x=75m DE=75m CE=2.4x=180m EB=BC CE=306 180=126m AF DG 1= tan 1=tan ADG= =0.364 AF=EB=126m tan 1= =0.364 DF=0.364AF=0.364 126=45.9 AB=FE=DE DF=75 45.9 2
8、9.1m 18. 1 O 2 ABC 2 1 3 6 0 3 2 4 4 19. 1 A a 2 y= x a= 4 A 4 2 A 4 2 y= k=8 y= B A B 4 2 2 P PE x E AB C P m C m m POC 3 m | m |=3 m=2 2 P 2 2 4 20. 1 AB=AC M BC AM BC AM BAC BN ABE EBN= ABN AC BD EAB+ MNB= NAB+ ABN= BAE+ ABE BMN 2 MFN BDC F M AB BC FM AC FM= AC AC=BD FM= BD BMN NM=BM= BC AM BC NM
9、F+ FM AC ACB= FMB ACB+ CBD+ NMF= CBD MFN BDC B (50 21. 4 22. 16 23. 12 24. 5 525. 2 3 15 15 26. 1 2 2 2 6 27. 1 A 1 y= k= 1= y= 2 A 1 AB x C OC= AC=1 OC 2 BC=3 B 3 S AOB= 4=2 S AOP= S AOB= P m 0 |m| 1= |m|=2 P x m= 2 P 2 0 3 E OA OB OA=2 OB=2 AB=4 sin ABO= = = BOA B BDE BOA BDE BO=BD=2 OA=DE=2 BOA=
10、+ BD OC= BC DE=1 E 1 1 = E 28. 1 1 AB=AC B= C ABC DEF AEF= B AEF+ CEM= AEC= B+ BAE CEM= BAE ABE ECM 2 EH AB H AN BC N EM AB DEF= EAB= B BE=EA EH AB BH=AH= AB=AC AN BC BN=CN=3 cos B= = = BE= 3 AEF= B= C AME C AME AEF AE AM AE=EM ABE ECM CE=AB=5 BE=BC EC=6 5=1 AM=EM MAE= MEA MAE+ BAE= MEA+ CEM CAB= CEA C= C CAE CBA = CE= = BE=6 = BE=1
