1、 2015 30 3 1 3 O R P O d d R P A O O B O C O D O O 2 3 10cm 2.236 0.01 A 3.09cm B 3.82cm C 6.18cm D 7.00cm 3 3 ABC DE BC DE AB AC D E AD=4 DB=2 AE EC A 0.5 B 2 C D 4 3 y= k A B 1 C 2 D 1 5 3 Rt ABC C=90 BC=1 AB A sinA B cosA C D 6 3 ABC O P AB A B BPC A 30 B 60 C 90 D 45 7 3 y= x 2 2 1 A y= x 2 +2x+
2、1 B y= x 2 +2x 2 C y= x 2 2x 1 D y= x 2 2x+1 8 3 y=ax 2 +bx+c a 0 5 abc 0 b a+c 4a+2b+c 0 2c 3b a+b m am+b m 1 A 2 B 3 C 4 D 5 9 3 ABCD E BC F CD AE EF BAE=30 CE 2 CF=FD ABE AEF A 1 B 2 C 3 D 4 10 3 ABC BC=8 BC h=4 D BC EF BC AB E AC F EF A B E BC x DEF y x A B C D 18 3 11 3 = 12 3 1 2 90 13 3 15 cm
3、 2 5cm cm 14 3 Rt ABC C=90 AC=4 BC=3 2.5 C AB 15 3 a b c y=ax 2 +bx+c a 0 x 2 y x x 2 y x 16 3 OABC ADEF A D C F AB B E x 0 12 E 72 17-26 5 27 7 28 7 29 8 17 5 18 5 Rt ABC C=90 BC=8 B=60 19 5 1 k 2 K x= 6 y 20 5 2cm 21 5 D BC ABC ADE 1= 2= 3 22 5 A B 100 AB P A 30 B 45 P 35 1.732 1.414 23 5 AB O CB
4、OD CB E CB D AC 1 2 CB=8 ED=2 O 24 5 200 150 100 25 5 O ABC AB O D AB AE DC DC E AC EAB DE O 26 5 y=x 2 +bx+c 2 3 4 5 1 2 x G G 3 2 2 x 2 y=m m 27 7 ABCD AB=3cm BC=6cm M A AB 1cm/s B N D DA 2cm/s A 1 AMN ABCD 2 t A M N ACD t 28 7 1 1 ABC ABD AB CD 2 2 M N y= k 0 M ME y N NF x E F MN EF M N 3 MN EF 2
5、9 8 a b a x b x a b x y m x n m y n m n y= x+4 x=1 y=3 x=3 y=1 1 x 3 1 y 3 y= x+4 1 3 1 y= 1 2016 2 y=x 2 2x k 1 2 k 3 y=kx+b k 0 m n m n 30 3 1 d R P O P O D 2 10 =10 0.618=6.18cm C 3 DE BC AD DB=AE EC AD=4 DB=2 AE EC=AD DB=4 2=2 B 4 k 0 1 1 k 1 A 5 Rt ABC C=90 BC=1 sinA= AB= = D 6 ABC A=60 BPC=60
6、B 7 y= x 2 2 1 y= x+2 2 1 y= x 2 +2x+1 A 8 a 0 y a b b 0 y x c 0 abc 0 x= 1 x y=a b+c=0 a+c=b x=1 x=2 x y=4a+2b+c 0 x= =1 a= b a b+c=0 b b+c=0 2c=3b x=1 y a+b+c x=m m 1 y=am 2 +bm+c a+b+c am 2 +bm+c a+b m am+b m 1 A 9 ABCD AB=BC=CAD B= C= D=90 E BC BE=CE= BC= AB AE AB sin BAE= BAE 30 AE EF BAE= CEF
7、CEF BAE = = CF= BE= CD BE=CE CF= FD CE 2 CEF BAE EAF= BAE EAF= BAE B= C=90 ABE AEF 2 B 10 A BC AH BC H EF=2 4 x y= 2 4 x x= x 2 +4x D 18 3 11 a= b= = = 12 1 2 1 2 x 2x x+2x=90 x=30 2x=60 30 60 13 S= lr l= =6 cm = 6 +10 cm 6 +10 14 2.5 C AB C CD AB D Rt ABC C=90 AC=4 BC=3 AB= =5 ABC = AC BC= AB CD 3
8、4=5CD CD=2.4 2.5 d r 2.5 C AB 15 a 0 x=2 y=a x 2 2 +h a 0 a= 1 h=4 y= x 2 2 +4= x 2 +4x 16 OABC ADEF S OABC=S ODEG=4 S BCGF=S ADEF 12 S ADEF=6 2 AD=DE= = 1 y= 1 x= = +1 E +1 1 +1 1 72 17-26 5 27 7 28 7 29 8 17 =4 + =2 1+3=4 18 C=90 B=60 A=30 sinA= = = AB=16 AC= = =8 19 1 k 1 0 k 1 2 k 1 k=2 y= x= 6
9、y= = 20 OA OB AB O OC AB C AOB= =120 OA=OB AOC= AOB=60 AC=BC tan60 = OC=2 AC=2 AB=4 cm 21 ABC ADE C= E BAC= DAE BAC DAC= DAE DAC 1= 2 AOE DOC E= C AOE= DOC 2= 3 1= 2= 3 22 P PC AB C A=30 B=45 AC= = PC BC= =PC AC+BC=AB PC+PC=100 PC=50 1 50 1.732 1 =36.6 35 AB 23 1 AB O C=90 OD CB CE=BE = C=90 CE=BE =
10、 2 OD CB CE=BE= BC=4 DE=2 OE 2 =OB 2 BE 2 O R OE=R 2 R 2 = R 2 2 +4 2 R=5 O 5 24 x C 100 0 D 100 0 y=a x 100 x+100 B 50 150 150=a 50 100 50+100 0 200 200 25 0C OA=OC OAC= OCA AC EAB EAC= OAC OCA= EAC OC AE AE DE OC DE DE O 26 1 y=x 2 2x 3 y=x 2 2x 3= x 1 2 4 1 4 2 y=x 2 2x 3 y= x 2 +2x+3 3 y=x 2 2x
11、3 1 4 x= 2 y=5 y= x 2 +2x+3 1 4 x= 2 y= 5 2 x 2 y=m m=4 5 m 3 27 1 x AMN ABCD 6 2x x= 3 6 x 2 3x+2=0 2 x1=1 x2=2 3 x1=1 x2=2 1 2 AMN ABCD 4 2 t A M N ACD ABCD CDA= MAN=90 5 6 t= t= 7 t= t= M N A M N ACD 8 28 1 C D CG AB DH AB G H CGA= DHB=90 1 CG DH ABC ABD CG=DH 2 CGHD AB CD 4 2 MF NE 6 M x1 y1 N x
12、2 y2 M N k 0 x1y1=k x2y2=k ME y NF x OE=y1 OF=x2 S EFM= x1 y1= k 7 S EFN= x2 y2= k 8 S EFM=S EFN 9 1 MN EF 1 MN EF 10 29 1 k=2016 0 1 x 2016 y x x=1 y=2016 x=2016 y=1 1 y 2106 y= 1 2016 2 x= =1 a=1 0 y=x 2 2x k 1 2 y x y=x 2 2x k 1 2 x=1 y=1 x=2 y=2 x=1 y=1 x=2 y=2 k= 2 k 2 3 y=kx+b k 0 m n k 0 m m n n y=x k 0 m n n m y= x+m+n k 0 y=x k 0 y= x+m+n
