1、 2015 30 3 1 3 y= x 5 2 +7 A 7 B 7 C 5 D 5 2 3 Rt ABC C=90 AC=3 BC=4 cosA A B C D 3 3 C AOB OA C P AOB=90 OP=6 OC A 12 B C D 4 3 y=x 2 6x+5 y= x h 2 +k A y= x 6 2 +5 B y= x 3 2 +5 C y= x 3 2 4 D y= x+3 2 9 5 3 18cm 12 cm A 30 B 60 C 90 D 120 6 3 xOy A 1 2 AB x B O OAB 2 OA1B1 A1 A1 A 2 4 B 1 C 2 4 D
2、 2 4 7 3 P 37 40 A P B B P BP A 40 B 40tan37 C 40cos37 D 40sin37 8 3 A B C ABC ABC=70 ACB=30 D DB DC DBC A 30 B 45 C 50 D 70 9 3 60 300 1 20 x y y x A y=60 300+20x B y= 60 x 300+20x C y=300 60 20x D y= 60 x 300 20x 10 3 y=2x 2 8x+m 2 x 1 x 6 x 7 x m A 8 B 10 C 42 D 24 18 3 11 3 12 3 A 3 y1 B 2 y2 y=
3、x 2 5x y1 y2 = 13 3 ABC 5 12 13 DEF 15 DEF 14 3 AB AC A A=30 AB=20 D AC ADB AD AD= 15 3 1 =5 1 10 5 OA A CD B AB AC=1 CD=EB=10 BD=5 OA=OB=x 16 3 P O P O 1 OP OP MN OP C 2 C CO O A B 3 PA PB PA PB OA OB OAP= OBP=90 PA PB O 72 17-26 5 27 7 28 7 29 8 17 5 4cos30 sin 2 45 18 5 ABC AB=12 BC=15 AD BC D BA
4、D=30 tanC 19 5 y= x 2 +2x+3 x A B A B 1 A B 2 C D C x ACBD 20 5 ABCD AD BC A= BDC 1 ABD DCB 2 AB=12 AD=8 CD=15 DB 21 5 21 8 x 60 22 5 C1 y1=2x 2 4x+k x 1 k 2 C1 C2 y2=2 x+1 2 4k 3 A 1 t B m n C2 y2=2 x+1 2 4k n t m 23 5 AB O AB= C E O OC AB D E=30 OA 1 OA 2 AF O O AF BAF 24 5 B A 45 90 C A 58 AD sin
5、58 0.85 cos58 0.53 tan58 1.60 25 5 ABC O AB O PC O C PD AB D AC E 1 PCE= PEC 2 AB=10 ED= sinA= PC 26 5 1 xOy y1=ax+b y2= A 1 3 B 3 1 x= 3 1 y1=y2 3 x 0 x 1 y1 y2 ax+b x 3 +4x 2 x 4 0 x 3 +4x 2 x 4 0 2 3 4 1 x=0 x 0 x 2 +4x 1 x 0 x 2 +4x 1 2 y3=x 2 +4x 1 y4= y4= 2 y3=x 2 +4x 1 3 y3=y4 x 4 1 x 3 +4x 2
6、 x 4 0 27 7 xOy y= +bx+c A 1 0 x=0 x=5 y= x+3 y= +bx+c B C B 1 y= +bx+c 2 AB AB 3 AC M AC B M 180 N AN CN ABCN 28 7 ABC ACB=90 AC=BC=4 M AB D BC AD AD A 90 AE ED N ED AN MN 1 1 BD=2 AN= NM AB 2 4 BD 8 2 1 NM AB 3 ME D BD ME 29 8 xOy C P C l P l l P C C C C 1 1= 2 1 C C 2 P1 1 2 C 2 O 1 3 x O P O y l
7、 A 1 0 O 1 P1 12 P12 A 1 P1 3 4 M 0 2 M 1 O M P 30 3 1 y= x 5 2 +7 x=5 y 7 B 2 Rt ABC C=90 AC=3 BC=4 AB= =5 cosA= = A 3 CP OA C P CP AO C AOB AOB=90 POC=45 OP=CP=6 OC= =6 C 4 y=x 2 6x+5=x 2 6x+9 4= x 3 2 4 C 5 l= n= = =120 D 6 A 1 2 O OAB 2 OA1B1 A1 A1 2 4 A 7 P 37 BAP=37 AP=40 =40sin37 D 8 ABC=70 A
8、CB=30 A=80 D= A=80 D BD=CD DBC= DCB= =50 C 9 x 60 x 300+20x y= 60 x 300+20x B 10 m A B C D x= 2 y x=6 y y=2x 2 8x+m=2 x 2 2 8+m x=2 2 x 1 x 6 x 7 x m 0 m= 10 y=2x 2 8x 10 y=0 2x 2 8x 10=0 x1= 1 x2=5 2 x 1 x m= 42 y=2x 2 8x 42 y=0 2x 2 8x 42=0 x1= 3 x2=7 6 x 7 x m= 24 y=2x 2 8x 24 y=0 2x 2 8x 24=0 x1
9、= 2 x2=6 2 x 1 x 6 x 7 x D 18 3 11 = = 12 x= 3 y1=x 2 5x=24 x=2 y2=x 2 5x= 6 24 6 y1 y2 13 ABC 5 12 13 ABC 5+12+13=30 DEF 15 DEF ABC =15 5=3 1 DEF 3 30=90 90 14 B BE AC E A=30 AB=20 AE=10 ADB ADB AEB 0 AD 10 AD=10 10 15 OA=OB=x 10 2 + x 5+1 2 =x 2 10 2 + x 5+1 2 =x 2 16 OA OB OAP= OBP=90 90 PA PB O
10、90 72 17-26 5 27 7 28 7 29 8 17 =4 2 =6 = 18 ABC AB=12 BC=15 AD BC D BAD=30 ADB= ADC=90 AB=2BD BD=6 CD=BC BD=15 6=9 AD= tanC= tanC 19 1 y=0 x 2 +2x+3=0 x1= 1 x2=3 A 1 0 B 3 0 y= x 2 +2x+3= x 1 2 +4 x=1 C 1 4 2 D 1 4 AB=3 1 =4 CD=4 4 =8 ACBD 4 8=16 20 1 AD BC ADB= DBC A= BDC ABD DCB 2 ABD DCB AB=12 AD=8 CD=15 = = DB=10 DB 10 21 x 2 8 2x =60 x1=2 x2=9 2 22 1 =16 8k=0 k=2 2 C1 y1=2x 2 4x+2=2 x 1 2 C2 y2=2 x+1 2 8 C1 C2 2 8 3 x=1 y2=2 x+1 2 8=0 t=0 y2=2 x+1 2 8 y=0 x=1 3 n t 2 x+1 2 8 0 m 3 m 1 23 1 OC AB AB= AD=DB=2 E=30 AOD=60