1、 2015 30 3 1 3 Rt ABC C=90 BC=3 AB=4 cosB A B C D 2 3 ABC D E AB AC DE BC AD DB=3 2 AE AC A 3 2 B 3 1 C 2 3 D 3 5 3 3 O 3cm O l d d=5cm O l A B C D 4 3 y= x 2 2 +3 A 2 3 B 2 3 C 2 3 D 2 3 5 3 ABC DEF 2 1 DEF 4 ABC A 1 B 4 C 8 D 16 6 3 ABCD O BCD=120 BAD A 30 B 60 C 80 D 120 7 3 A 2 1 B C x 0 y x D x
2、 0 y x 8 3 2m 5m 10m A 5m B 6m C 7m D 8m 9 3 A B C D 10 3 A B C D E F O P O OE EFFO t BPD y y t A B C D 22 11 3 12 3 13-16 3 11 3 A sinA= A= 12 3 2x=5y = 13 4 60 6 14 4 O 5m O 3m AB= m 15 4 1 1 x 0 y x 3 0 16 4 24 6 17 6 2cos30 tan45 +sin60 18 6 y=mx 3m 1 +4x 5 1 m 2 y=a x h 2 +k 19 6 ABC D AB CD AC
3、D= ABC 1 ACD ABC 2 AD=6 AB=10 AC 20 6 y1=x+2 A B A 3 B 1 1 k 2 y1 y2 x 28 7 21 7 AB AB 14 BD=14 CD CDF 2 CF 2 C A 30 D E 2 B AB AB 1.73 22 7 D O C BA CDA= CBD 1 CD O 2 B O CD E AB=6 tan CDA= DE 23 7 A A x y t t 0 0.16 0.2 0.4 0.6 0.64 0.8 x 0 0.4 0.5 1 1.5 1.6 2 y 0.25 0.378 0.4 0.45 0.4 0.378 0.25
4、1 y t tOy y t t 2 y x A 24 7 O ABC l O P l BC 1 O ABC 2 ABC 16 8 25 8 G1 y=ax 2 +bx+c 2 3 4 1 1 G1 2 G1 3 1 G2 G2 x A A 3 m B 2 G2 n A B B m n x m n y B 26 8 xOy P x y P x+y x y 1 1 O M 2 0 N 2 1 O P y=x+2 P P O P 2 2 O 1 P P y= 2x+6 P O 30 3 1 cosB= = C 2 DE BC AD DB=3 2 AE EC=3 2 AE AC=3 5 D 3 O 3
5、cm O l d=5cm r d l O C 4 y= x 2 2 +3 2 3 A 5 ABC DEF 2 1 ABC DEF 4 1 DEF 4 ABC 16 D 6 ABCD O BCD=120 BAD=180 120 =60 B 7 A x=2 y= y=1 2 1 B C x 0 y x D x 0 y x C 8 AB OD CD OD AB CD OAB OCD CD=6 6m B 9 90 A A 10 A B C D E F O BOC= COD=60 P O BPD=120 P EF BPD= BOD=60 P O E y 120 60 P EF y 60 P F O y
6、60 120 C 22 11 3 12 3 13-16 3 11 A sinA= A=30 30 12 2x=5y = 13 S= =6 6 14 O OC AB OB AB=2BC Rt OBC BC 2 +OC 2 =OB 2 OB=5m OC=3m BC= =4m AB=2BC=8m AB 8m 8 15 x 0 y x y=ax 2 +b 1 1 a+b=1 3 0 x=2 y=0 4a+b=0 a= b= y= x 2 + y= x 2 + 16 24 6 17 =2 1+ = 1 18 1 y=mx 3m 1 +4x 5 3m 1=2 m=1 2 1 y=x 2 +4x 5= x+
7、2 2 9 x= 2 y=a x h 2 +k y= x+2 2 9 1 m=1 2 x= 2 y= x+2 2 9 19 1 A= A ACD= B ACD ABC 2 ACD ABC = AC 2 =AD AB AD=6 AB=10 AC=2 20 1 y=3 y1=x+2 x=1 y= 1 y1=x+2 x= 3 A 1 3 B 3 1 A 1 3 k=3 2 x 3 0 x 1 y1 y2 y1 y2 x x 3 0 x 1 28 7 21 tan CDF= =2 CF=2 DF=1 BG=2 BD=14 BF=GC=15 Rt AGC tan30 = AG=15 =5 5 1.732
8、=8.660 AB=8.660+2=10.66 BE=BD ED=12 BE AB 22 1 OD OE 1 AB ADB=90 ADO+ BDO=90 CDA= CBD CBD= BDO BDO= CDA CDA+ ADO=90 CDO=90 CD OD CD O 2 2 EB O ED=EB OE DB ABD+ DBE=90 OEB+ DBE=90 ABD= OEB CDA= OEB tan CDA= tan OEB= = Rt CDO Rt CBE = CD= 6=4 Rt CBE BE=x x+4 2 =x 2 +6 2 x= BE DE=BE= 23 1 t=0.4 2 y=a x
9、 1 2 +0.45 0 0.25 a= y= x 1 2 +0.45 y=0 0= x 1 2 +0.45 x1= x2= A m 24 1 2 l O P OP l l BC PE BC BE=CE AE ABC 16 8 25 G1 y=ax 2 +bx+c 2 3 4 1 G1 y=a x 2 2 3 4 1 1=4a 3 a=1 G1 y= x 2 2 3=x 2 4x+1 2 G1 y= x 2 2 3 3 1 G2 y= x+1 2 4 y=0 0= x+1 2 4 x= 3 x=1 A 3 0 3 m x y F E n G2 x n x y A D B m C n G2 x
10、n1 x y A H B1 m L n G2 x 1 CDE CFA CDE= CFA m x=0 y=3 y=0 x= 6 E 0 3 F 6 0 OF=6 OE=3 tan CDE=tan CFA= = OA=3 OD=6 D 0 6 n y=mx+n D 0 6 A 3 0 n y=2x+6 n G2 x=3 x= 3 y=12 B 3 12 n G2 x 2 HLE FLA ELH= FLA=90 EHA= LFA m x=0 y=3 y=0 x= 6 E 0 3 F 6 0 OF=6 OE=3 tan EHA=tan LFA= = OA=3 OH=6 H 0 6 n y=mx+n D
11、 0 6 A 3 0 n y= 2x 6 n G2 x= 1 x= 3 y= 4 B1 1 4 B m n x m n y B 3 12 1 4 26 1 M 2 0 M 2 2 OM = =2 M 2 0 O N 2 1 N 3 1 ON = = 2 N 2 1 O P x x+2 P P 2x+2 2 OP = P O 2 2x+2 2 4 x+1 2 1 1 x+1 1 2 x 0 P 2 x 0 2 P x 2x+6 P m n m+n=x m n= 2x+6 3m+n=6 n= 3m+6 P m 3m+6 P y= 3x+6 y= 3x+6 x A y B O OH AB H O C 2 A 2 0 B 0 6 AB= =2 OH= = CH= 1 P O 1
