1、 2015 10 3 30 1 3 A 2 3 3 A A 1 3 B 2 3 C 2 6 D 2 1 2 3 A B C D 3 3 1 5 3 2 A B C D 4 3 O 5 P O A OP 5 B OP=5 C 0 OP 5 D 0 OP 5 5 3 Rt ABC C=90 AC=4 BC=3 sinB A B C D 6 3 y= m 2 x |m| +2 y x m A 2 B 2 C 2 D 0 7 3 AB O CD AB CAB=20 AOD A 120 B 140 C 150 D 160 8 3 y=x 2 2x 3 A 5 B 0 C 3 D 4 9 3 ABC C
2、50 A B C A=40 B =110 BCA A 90 B 80 C 50 D 30 10 3 ABCD AEF O EF BC CD G H A B C D 2 6 3 18 11 3 A 12 3 ABCD E BC BAD=105 DCE 13 3 5 1 2 3 4 5 4 14 3 AB O CD AB E CDB=30 CD=2 15 3 1 ABC CD AB D D C CE=2cm DC 1cm ABC AC BC 2 AB cm 16 3 y= x x 3 0 x 3 C1 x O A1 C1 A1 180 C2 x A2 C2 A2 180 C3 x A3 C2016
3、 C1 P 6047 m C2016 m= 6 5 30 17 5 sin60 + sin45 2 tan45 18 5 1 ABC 1 ABC 3 A1B1C1 A1B1C1 B1 90 A2B1C2 2 B1C1 B1C2 C1 19 5 y=ax 2 +bx+c a 0 x y x 2 1 0 1 2 y 0 4 6 6 4 1 2 y 0 x 20 5 ABC A=30 B=45 AC= AB 21 5 a b c A B C 1 2 100 A B C a 40 10 10 b 3 24 3 c 2 2 6 22 5 y= x h 2 +k M 1 4 1 x A B 2 P P M
4、 S PAB= P 4 5 20 23 5 ABC O B=60 CD O P CD AP=AC 1 PA O 2 AB=4+ BC=2 O 24 5 G AB 8 AC BD 1 G AB 1 G 2 1.5 CD C m m 25 5 O 20 A O OA OBAC OC=12 BC O D E CE BD 26 5 sin = sin2 1 O AB C O ACB=90 BAC= sin = = BOC=2 BC=x AB=3x AC= x CD AB D CD= x sin2 = = 2 M N P O P= sin = sin2 3 27 28 7 29 8 22 27 7 20
5、 6250 500 50 1 x y = 1 x x 2 3 28 7 O ABC OA OB OC 1 1 AOB=150 BOC=120 BOC C 60 ADC DAO OA OB OC 2 AOB= BOC= OA+OB+OC 2 ABC 1 OA+OB+OC 29 8 xOy A 0 3 B 1 0 AB B 90 BC y=ax 2 +bx+c a 0 C 1 1 O a= C P POB= BAO P 2 2 y=ax 2 +bx+c a 0 D 2 1 Q QOB= BAO Q 4 a 10 3 30 1 A 2 3 3 A 2+3 3 1 3 A 2 A B C D B 3
6、5+3+2=10 3 C 4 O 5 P O 0 OP 5 D 5 Rt ABC AB= =5 sinB= = C 6 y= m 2 x |m| +2 y x |m|=2 m 2 0 m= 2 A 7 AB O CD AB = CAB=20 BOD=40 AOD=140 B 8 y=x 2 2x 3 y= x 1 2 4 4 D 9 A = A A CB = ACB A=40 A =40 B =110 A CB =180 110 40 =30 ACB=30 ABC C 50 A B C ACA =50 BCA =30 +50 =80 B 10 AC BD OF O r OF=r AO EAF
7、OAF=60 2=30 OA=OF OFA= OAF=30 COF=30 +30 =60 = EF= AO=2OI OI= CI=r = = C 6 3 18 11 cosA= A 30 30 12 ABCD DAB+ DCB=180 BAD=105 DCB=180 DAB=180 105 =75 DCB+ DCE=180 DCE= DAB=105 105 13 4 1 2 3 5 1 4 14 OD CD AB CE=DE= CD= S OCE=S ODE OBD CDB=30 COB=60 OC=2 S OBD= = 15 O BC M OM OM MC OMC=90 DCB=30 AB
8、2xcm ABC CD= xcm CE=2cm DC 1cm x 2 cm OC= x 1 cm sin DCB= = = x= AB=2x=2 cm 2 16 y= x x 3 = x 2 +3x x= = = C2016 x C1 3 2015=6045 C2016 y= x 6045 x 6045 3 = x 6045 x 6048 P 6047 m C2016 m= 6047 6045 6047 6048 = 2 2 6 5 30 17 = + 2 1= + 1= 18 1 2 C1 =2 19 1 y=ax 2 +bx+c a 0 0 6 c=6 y=ax 2 +bx+6 1 4 1
9、 6 y= x 2 +x+6 y=ax 2 +bx+c a 0 0 6 1 6 x= x= y= 2 x= 2 0 x 3 0 y 0 x x 2 x 3 20 C CD AB D ADC= BDC=90 B=45 BCD= B=45 CD=BD A=30 AC=2 CD= BD=CD= AD= =3 AB=AD+BD=3+ AB 3+ 21 1 9 3 P = = 2 = 22 1 y= x h 2 +k M 1 4 y= x 1 2 4 y=0 x= 1 x=3 x A 1 0 B 3 0 2 A 1 0 B 3 0 M 1 4 AB=4 S MAB=8 AB=4 P AB 5 S PAB
10、= P 5 P M 1 4 P 5 5= x 1 2 4 x1= 2 x2=4 P 4 5 2 5 4 5 20 23 1 OA B=60 AOC=2 B=120 OA=OC OAC= OCA=30 AP=AC P= ACP=30 OAP= AOC P=90 OA PA PA O 2 C CE AB E Rt BCE B=60 BC=2 BE= BC= CE=3 AB=4+ AE=AB BE=4 Rt ACE AC= =5 AP=AC=5 Rt PAO OA= O 24 1 A 4 0 B 4 0 E 0 1 G y=ax 2 +1 A 4 0 G 16a+1=0 a= y= x 2 +1 4 x 4 2 y=1.5 1=0.5 x 2 +1=0.5 x= 4 0 m 8 25 O OF DE F DF=EF ABOC OA=20 BC=OA=20 Rt BOC OC=20 cos OCB= = = Rt OCF cos OCF= = CF= BF=BC CF= CE BD= EF CF DF BF =BF CF= 26 CD= = = Rt OCD sin2 = = = 2 NQ MQ MO M MR NQ R MQ NMQ=90 Q= P= MON=2 Q=2 Rt QMN sinQ=sin = =
