1、 2017 3 10 3 30 1 A 4 B 4 C 2 D 2 2 ax 2 +2x+ = 2x+ 2 +m a m A 2 0 B 4 0 C 2 D 4 3 y=ax 2 +bx+c 6 ab ac a+b+c 2a+b 2a b A 2 B 3 C 4 D 5 4 1.5 BA B A C BC=3 CA=1 A 3 B 4 C 4.5 D 6 5 1 8 “ ” A 47 B 42 C 58 D 40 4 6 Rt ABC a b c a b c A b=a+c B b=ac C b 2 =a 2 +c 2D b=2a=2c 7 y= x =2 A x=1 B x=2 C x=3
2、D x=4 8 O Rt ABC AB D AC E DE BC AE=2 AC=3 BC=6 O A 3 B 4 C 4 D 2 9 OA OB CDE CD OB ECD=45 CDE C 75 E N OA A B C D 10 x x+ =c+ x=c c 0 2 x y 3 a 1 a=1 x+y=4 a A B C D 6 4 24 11 1+2 a 1+2 b a b ab 12 1 2 3 x 2 13 AB O CD O CD AB E CD=4 AE=2 O 14 15 y=ax 2 +bx+c a 0 16 y= x 0 EF A B AE=AB=BF AO BO y=
3、x 0 C D 1 AB CD 2 ABDC 7 66 17 18 sin 2 30 a tan 2 60 a 19 1 2 3 4 x y 1 x y 2 x y y=x 1 20 OABC O A C B 4 2 D 0 3 E 6 0 AB BC M N 1 O B E 2 DE M 3 y= x 0 M N 21 ABCD E BC AE DE BAD ADC 1 AE DE 2 AD AB F DF AE G CD=5 AE=8 BC 22 1 ABCD AB=4 AD=2 P AB A B Q AD CBP QAP PC PQ B E A F P E F 1 E PF AQ 2 C
4、E QF 2 AP 3 “ CE” “ QF” “ A” AP 23 y=3ax 2 +2bx+c 1 a=b=1 c= 1 x 2 a= c=2+b 2 x 2 3 b 3 a+b+c=1 x y 1 2017 3 10 3 30 1 A 4 B 4 C 2 D 2 16 =4 A 2 ax 2 +2x+ = 2x+ 2 +m a m A 2 0 B 4 0 C 2 D 4 ax 2 +2x+ =4x 2 +2x+ +m D 3 y=ax 2 +bx+c 6 ab ac a+b+c 2a+b 2a b A 2 B 3 C 4 D 5 a 0 y y c 0 ac x= 0 ab x=1 y=
5、a+b+c 0 x= 1 y=a b+c 0 x= 1 a 0 2a+b a 0 b 0 2a b a 0 y y c 0 ac 0 x= 0 a b b 0 ab 0 x=1 y=a+b+c 0 x= 1 y=a b+c 0 x= 1 a 0 2a+b 0 a 0 b 0 2a b 0 2 A 4 1.5 BA B A C BC=3 CA=1 A 3 B 4 C 4.5 D 6 ACD ABE ACD ABE = = BE=6 6 D 5 1 8 “ ” A 47 B 42 C 58 D 40 4 8 40 2 3 4 5 7 8 A 83 28=55 B 58 2 58 C 58+58 2
6、=58 D 40 2 3 4 5 7 8 C 6 Rt ABC a b c a b c A b=a+c B b=ac C b 2 =a 2 +c 2D b=2a=2c Rt ABC a b c a b c DHE GQF DH AB QF EDH= A GFQ= B A+ B=90 EDH+ DEH=90 GFQ+ FGQ=90 EDH= FGQ DEH= GFQ DHE GQF = = ac= b c b a b 2 =ab+bc=b a+c b=a+c A 7 y= x =2 A x=1 B x=2 C x=3 D x=4 x =2 y= y=2 x x=3 y=0 =0 a=3 =2 x
7、=1 A 8 O Rt ABC AB D AC E DE BC AE=2 AC=3 BC=6 O A 3 B 4 C 4 D 2 EC F DF 90 DF EC F DF 90 DF DE BC ADE ABC DE=4 ADF EF= =4 DF= =4 2 D 9 OA OB CDE CD OB ECD=45 CDE C 75 E N OA A B C D 30 NCE=75 NCO OC=a CN=2a CMN CM=MN=x x 2 +x 2 = 2a 2 x= a CD= a CDE C 75 E N OA ECN=75 ECD=45 NCO=180 75 45 =60 AO OB
8、 AOB=90 ONC=30 OC=a CN=2a DCE CMN CMN CM=MN=x x 2 +x 2 = 2a 2 x= a CD=CM= a = = C 10 x x+ =c+ x=c c 0 2 x y 3 a 1 a=1 x+y=4 a A B C D x+y z=23 z z=1 a x x+ =c+ x=c x= c 0 2 x y z x+y 2 23 23 1 x+y z=23 z=1 x+y=23 z=1 x=2 y=21 x=20 y=3 2 21 1 20 3 1 x y 3 a 1 x=1+2a y=1 a x+y=2+a a=1 x+y=3 x+y=4 a=3
9、A 6 4 24 11 1+2 a 1+2 b a b ab 20 1+2 a b 1 2 4 1+2 5 a=4 b=5 ab=20 20 12 1 2 3 x 2 x S 2 = x 1 2 + x 2 2 + + x n 2 1 2 3 x 2 1+2+3+x 4=2 x=2 1 2 2 + 2 2 2 + 3 2 2 + 2 2 2 = 13 AB O CD O CD AB E CD=4 AE=2 O 3 CD AB E CD CE OCE OC=r OE=OA AE OE r r AB O CD AB E CE= CD= 4 =2 Rt OCE OC 2 =CE 2 +OE 2 O
10、r OC=r OE=OA AE=r 2 r 2 = 2 2 + r 2 2 r=3 O 3 3 14 5 3 2 1 2 2 2 2+1+2=5 5 15 y=ax 2 +bx+c a 0 2 8 3 x=1 = 2 x= 2 y 0 4a 2b+c 0 x= 1 y 0 a b+c 0 b= 2a x=1 x= =1 = 2 x= 2 y 0 4a 2b+c 0 x= 1 y 0 a b+c 0 b= 2a c 8a c 3a a 0 8 3 2 8 3 16 y= x 0 EF A B AE=AB=BF AO BO y= x 0 C D 1 AB CD AB CD 2 ABDC 1 A AM x M D DH x H B BN x N y= x 0 EF A B AE=AB=BF A m B 2m S OAB =S OAM +S AMNB S OBN AOB ODH OBN 2 = = = AB CD 2 = COD= AOB COD AOB 1 A AM x M D DH x H B BN x N AM DH BN y A m AE=AB=BF OM=MN=NF B 2m S OAB =S OAM +S AMNB S OBN =2+ + 2m m 2=3
