1、 2014 10 3 30 1 3 2014 2 0 2 3 A 2 B 0 C 2 D 3 0 0 2 0 2 3 2 A 0 0 2 3 2014 x A x 0 B x 3 C x3 D x3 x x x 3 0 x 3 C 0 3 3 2014 3000 000 / 300000 A 310 4B 310 5C 310 6D 3010 4 a10 n 1 |a| 10 n n a n 1 n 1 n 300 000 310 5 B a10 n 1 |a| 10 n a n 4 3 2014 15 m 1.50 1.60 1.65 1.70 1.75 1.80 1 2 4 3 3 2 A
2、 4 B 1.75 C 1.70 D 1.65 1.65 4 1.65 D 5 3 2014 A x 3 2 =x 5B 2x 2 =2x 2C x 3 x 2 =x 5D x+1 2 =x 2 +1 A x 3 2 =x 6 B 2x 2 =4x 2 C x 3 x 2 =x 5 D x+1 2 =x 2 +2x+1 C 6 3 2014 AB A 6 6 B 8 2 O AB CD C A 3 3 B 4 3 C 3 1 D 4 1 C AB A 6 6 B 8 2 O AB CD C 3 3 A 7 3 2014 4 A B C D 3 D 8 3 2014 10 30 200 A 9
3、B 10 C 12 D 15 10 200 10 200 4 =0.4 30 200 300.4=12 C 9 3 2014 1 4 2 10 3 19 5 A 31 B 46 C 51 D 66 1 1+13=4 2 1+13+23=10 3 1+13+23+33=19 n 1+13+23+33+ +3n 1 1+13=4 2 1+13+23=10 3 1+13+23+33=19 n 1+13+23+33+ +3n 5 1+13+23+33+43+53=46 B 10 3 2014 PA PB O A B CD O E PA PB C D O r PCD 3r tan APB A B C D
4、 1 OA OB OP BO PA F CA=CE DB=DE PA=PB PA=PB= Rt BFP RT OAF AF= FB RT FBP BF tan APB OA OB OP BO PA F PA PB O A B CD O E OAP= OBP=90 CA=CE DB=DE PA=PB PCD =PC+CE+DE+PD=PC+AC+PD+DB=PA+PB=3r PA=PB= Rt BFP Rt OAF Rt BFP RT OAF = = = AF= FB Rt FBP PF 2 PB 2 =FB 2 PA+AF 2 PB 2 =FB 2 r+ BF 2 2 =BF 2 BF= r
5、tan APB= = = B 6 3 18 11 3 2014 2+ 3 = 5 2 + 3 = 5 5 12 3 2014 a 3 a= a a+1 a 1 a a 3 a =a a 2 1 =a a+1 a 1 a a+1 a 1 13 3 2014 7 7 3 7 3 = 14 3 2014 1600 1400 y t 2200 a / b / a / b / 1600+3002=2200 2200 15 3 2014 y= 5 AOB OA AB C D OC=3BD k C CE x E D DF x F OC=3x BD=x C D k x k C CE x E D DF x F
6、OC=3x BD=x Rt OCE COE=60 OE= x CE= x C x x Rt BDF BD=x DBF=60 BF= x DF= x D 5 x x C k= x 2 D k= x x 2 x 2 = x x 2 x 1 =1 x 2 =0 k= 1 2 = k 16 3 2014 ABCD AD=4 CD=3 ABC= ACB= ADC=45 BD BAD CAD SAS BAD CAD BD CD AD AD AD =AD CD DD BAC+ CAD= DAD + CAD BAD= CAD BAD CAD BAD CAD SAS BD=CD DAD =90 DD = D D
7、A+ ADC=90 CD = BD=CD = 9 72 17 6 2014 = x 2x=3x 6 x=6 x=6 “ ” 18 6 2014 y=2x b 1 1 x 2x b0 1 1 y=2x b b 1 1 y=2x b 1=2 b b=3 y=2x 3 2x 30 x 19 6 2014 AC BD O OA=OC OB=OD DC AB ODC OBA C= A D= B DC AB ODC OBA ODC OBA SAS C= A D= B DC AB ODC OBA 20 7 2014 A 0 4 C 3 0 1 AC y AB CA C CD AD x CD 2 y=kx 1 ABCD k - - 1 y B AB A x=3 D 2 AC k 1 CD 2 A 0 4 C 3 0 ABCD 2 k=2 k= 21 7 2014 2 2 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 43=12 1 1 8 1 16 4 = 1 1 8 1 1 = 2 1 1 43=12 1 1 8