1、 2014 8 4 32 1 4 x 2 3x 5=0 A B C D 2 4 Rt ABC C=90 BC=3 AB=5 sinA A B C D 3 4 A B C D 4 4 1 4 6 3 5 2 A B C D 5 4 ABC A1B1C1 O C1 OC AB=4 A1B1 A 1 B 2 C 4 D 8 6 4 A x1 y1 B x2 y2 y= x1 0 x2 A y1 0 y2 B y2 0 y1 C y1 y2 0 D y2 y1 0 7 4 AB O AC OD AC D O OE AC O E E EF AB F AC=2 OF A B C 1 D 2 8 4 ABC
2、D AB BC AC BD O E AC DE BE E EF BD F AE=x 1 y y x 2 1 A EF B DE C CE D BE 4 4 16 9 4 3cm 120 cm 2 10 4 2m 1m 12m m 11 4 y=ax 2 y=bx+c A 2 4 B 1 1 x ax 2 bx c=0 12 4 n F n = f n n F 6 =6 2 =36 F 123 =f 123 =1 2 +3 2 =10 F1 n =F n Fk+1 n =F Fk n F1 123 =F 123 =10 F2 123 =F F1 123 =F 10 =1 1 F2 4 = F20
3、15 4 = 2 F3m 4 =89 m 13 72 13 5 1 2015 +sin30 3.14 0 + 1 14 5 ABC AB=AC D BC BE AC E ACD BCE 15 5 m x 2 3x 2=0 16 5 y=2x 2 A 0 3 B 2 3 17 5 xOy y=2x y= A B A 2 AC x C BC 1 2 P y= OPC ABC P 18 5 ABC ACB=90 sinA= BC=8 D AB B CD E 1 CD 2 cos ABE 19 5 x mx 2 m+2 x+2=0 x1 x2 1 m 2 x2 0 1 m 20 5 10 x 1 x
4、10 1 2 x 10 95 90 100 5x 50 6 8 2x+4 24 x y 1 y x 2 21 5 ABCD A B C O AD O AO BC E O F P AO PCB=2 BAF 1 PC O 2 AB= AD=2 PC 22 5 1 1 1 1 1 A B C D CD CD AB 2 2 AB CD O AOD E AE AE CD F OC= tan AOD= 3 tan AOD= 23 7 xOy y= A 1 4 B m n 1 mn 2 y= x 1 2 B m 3 n 2m 2 n+3mn 4n 3 y= y=a x 1 2 y=x a 24 7 1 AB
5、C BC=4 AB ABD AD=BD DC DC CDE DC=DE CDE= ADB= 1 2 ABC=45 =90 AD DE 2 CB CE EF BF AF =90 3 AF AF 25 8 xOy P x1 y1 Q x2 y2 W W |x1 x2| m |y1 y2| n S=mn W W 1 O P Q O x 1 |x1 x2| m=2 P Q O y 2 |y1 y2| n=2 W S=mn=4 1 W ABO OA=OB=1 3 A B S= 4 AB x S= 2 W 1 ABCD S 3 W 3 4 ABCD S 8 4 32 1 x 2 3x 5=0 =b 2 4
6、ac= 3 2 4 1 5 =29 0 A 2 Rt ABC C=90 BC=3 AB=5 sinA= = A 3 D 4 1 4 6 3 5 2 = C 5 C1 OC OC1= OC ABC A1B1C1 O = B1C1 BC = = = A1B1=2 B 6 A x1 y1 B x2 y2 y= y1= y2= x1 0 x2 y2 0 y1 B 7 OD AC AC=2 AD=CD=1 OD AC EF AB ADO= OFE=90 OE AC DOE= ADO=90 DAO+ DOA=90 DOA+ EF=90 DAO= EOF ADO OFE ADO OFE AAS OF=AD=
7、1 C 8 BN AC N FM AC M DG AC G E O AE= FE 0 A E G AE DE B CE=AC AE CE AE C E N AE BE D B 4 4 16 9 S= S= 3 2 =3 cm 2 10 xm = x=24 24m 24 11 y=ax 2 y=bx+c A 2 4 B 1 1 x ax 2 bx c=0 x1= 2 x2=1 x1= 2 x2=1 12 1 F2 4 =F F1 4 =F 16 =1 2 +6 2 =37 F1 4 =F 4 =16 F2 4 =37 F3 4 =58 F4 4 =89 F5 4 =145 F6 4 =26 F7
8、 4 =40 F8 4 =16 7 2015 7 287 6 F2015 4 =26 2 1 7 F4 4 =89=F18 4 3m=18 m=6 1 37 26 2 6 13 72 13 = 1+ 1+2= 14 AB=AC D BC AD BC ADC=90 BE AC BEC=90 ADC= BEC ACD= BCE ACD BCE 15 x=m m 2 3m 2=0 m 2 2=3m = = =3 16 y=2x 2 +bx+c A 0 3 B 2 3 y=2x 2 4x+3 17 1 x=2 y=2x y=2 2=4 A 2 4 A y= k=2 4=8 y= 2 AC OC OC=
9、2 A B B 2 4 B OC 4 S ABC=2S ACO=2 2 4=8 S OPC=8 P x P OC | | | | 2=8 x=1 1 P 1 8 1 8 18 1 ABC ACB=90 sinA= = BC=8 AB=10 D AB CD= AB=5 2 Rt ABC AB=10 BC=8 AC= =6 D AB BD=5 S BDC=S ADC S BDC= S ABC BE= = Rt BDE cos DBE= = = cos ABE 19 1 m 0 = m+2 2 8m= m 2 2 0 m m 0 m 2 2 x= x=1 x= x2 0 x2= 0 m 0 1 1
10、m 2 m 0 m 2 2 m 0 m m= 1 20 1 y= 100 5x 2x+4 y= 10x 2 +180x+400 1 x 10 y x y= 10x 2 +180x+400 2 y= 10x 2 +180x+400 y= 10 x 9 2 +1210 1 x 10 x=9 y =1210 9 1210 21 1 OC AD O A FA AD ABCD AD BC FA BC FA O F BE=CE OEC=90 COF=2 BAF PCB=2 BAF PCB= COF OCE+ COF=180 OEC=90 OCE+ PCB=90 OC PC C O PC O 2 ABCD
11、BC=AD=2 BE=CE=1 Rt ABE AEB=90 AB= O r OC=OA=r OE=3 r Rt OCE OEC=90 OC 2 =OE 2 +CE 2 r 2 = 3 r 2 +1 COE= PCE OEC= CEP=90 OCE CPE 22 1 1 CD 2 2 AC DB AD AD=DE=2 AE=2 CD AE DF=AF= AC BD ACO DBO CO DO=2 3 CO= DO= OF= tan AOD= 3 3 BF=2 AE=5 AF= = AB= = FB AE AOE BOF AO OB=AE FB=5 2 AO= Rt AOF OF= = tan A
12、OD= 23 1 y= A 1 4 B m n k=mn=1 4=4 mn 4 2 y= x 1 2 B n= m 1 2 =m 2 2m+1 m 3 n 2m 2 n+3mn 4n=m 3 n 2m 2 n+mn+2mn 4n=mn m 2 2m+1 +2mm 4n=4n+2 4 4n=8 m 3 n 2m 2 n+3mn 4n 8 3 y=x y= C D C 2 2 D 2 2 a 0 1 y=a x 1 2 D a 2 1 2 =2 a=2 |a| y=a x 1 2 a 0 a 2 a 0 2 y=a x 1 2 C a 2 1 2 = 2 a= |a| y=a x 1 2 a a
13、a 0 a 2 a 24 1 AD+DE=4 1 ADB= EDC= =90 AD=BD DC=DE AD+DE=BC=4 2 2 DE BC H AE BC G ADB= CDE=90 ADE= BDC ADE BDC ADE BDC AE=BC AED= BCD DE BC H GHE= DHC EGH= EDC=90 CB CE EF EF=CB=4 EF CB AE=EF CB EF AEF= EGH=90 AE=EF AEF=90 AFE=45 AF= =4 2 E EM AF M AE=EF=BC AEM= FEM= AM=FM AF=2FM=EF sin =8sin 25 1 3 OA=OB=1 A B 1 4 AB x OA=OB=1 AB= OC= =1 1 2 5 S ABCD
