1、 1 2 1,2,9 3,6,7,10,13,14 4 8,12 5 11,15 ( :30 ) 1.(2015 ) (1,1) ( D ) (A)(x-1) 2 +(y-1) 2 =1 (B)(x+1) 2 +(y+1) 2 =1 (C)(x+1) 2 +(y+1) 2 =2 (D)(x-1) 2 +(y-1) 2 =2 : (1,1) , r= = , (x-1) 2 +(y-1) 2 =2. D. 2.(2015 ) A(1,0),B(0, ),C(2, ), ABC ( B ) (A) (B) (C) (D) : x 2 +y 2 +Dx+Ey+F=0, ABC (1, ), ABC
2、= . 3.(2015 ) 3x+4y=b x 2 +y 2 -2x-2y+1=0 , b ( D ) (A)-2 12 (B)2 -12 (C)-2 -12 (D)2 12 2 : (x-1) 2 +(y-1) 2 =1, (1,1) 3x+4y=b =1, b=2 b=12. D. 4.(2016 ) (x+2) 2 +y 2 =4 (x-2) 2 +(y-1) 2 =9 ( B ) (A) (B) (C) (D) : , 1, 5, 10) , 3x-4y+3=0 . 3 : (a,-),a0, (a,-) 3x-4y+3=0 d= =3, 3a= , a=2 , (2,-), r=3,
3、 (x-2) 2 +(y+) 2 =9. :(x-2) 2 +(y+) 2 =9 9. C y , (1,0) x , 1 2, C . : y , x , (0,a), r, rsin=1,rcos=|a|, r= , r 2 =,|a|= , a= , C x 2 +(y ) 2 =. :x 2 +(y ) 2 = 10. P A(-1,0) B(3,4), AB P C D, |CD|=4 . (1) CD ; (2) P . :(1) AB k=1,AB (1,2). CD y-2=-(x-1), x+y-3=0. (2) P(a,b), P CD a+b-3=0. |CD|=4 ,
4、4 |PA|=2 . (a+1) 2 +b 2 =40. P(-3,6) P(5,-2). P (x+3) 2 +(y-6) 2 =40 (x-5) 2 +(y+2) 2 =40. 11.(2015 ) S A(7,8) B(8,7), S 2x-y-4=0 . (1) S ; (2) x+y-m=0 S C,D , COD (O ), m . :(1) AB y=x, S S(4,4), S |SA|=5, S (x-4) 2 +(y-4) 2 =25. (2) x+y-m=0 y=-x+m, S , y 2x 2 -2mx+m 2 -8m+7=0. =(-2m) 2 -8(m 2 -8m+
5、7)0 8-5 0), a=1 a= , S= r 2 0, k1+ . x1+x2=- ,y1+y2=k(x1+x2)+6= , = + =(x1+x2,y1+y2), =(1,-3), , -3(x1+x2)=y1+y2, k= (- ,1- ) (1+ ,+ ), , l. 5 7 1.(2015 ) A(1,3),B(4,2),C(1,-7) y M,N , |MN| ( C ) (A)2 (B)8 (C)4 (D)10 : , . : P(a,b), A(1,3),C(1,-7) , b= =-2, |PA|=|PB|, a=1. P(1,-2),|PA|= =5, P (x-1) 2 +(y+2) 2 =25. x=0, y=-2 2 , |MN|=|(-2+2 )-(-2-2 )|=4 . C. 2.(2015 ) xOy , (1,0) mx-y-2m-1=0(m R) , . : mx-y-2m-1=0 , . : mx-y-2m-1=0 m(x-2)=y+1, m R (2,-1), (2,-1),(1,0) mx-y-2m-1=0 (1,0) mx-y-2m-1=0 = , , (x-1) 2 +y 2 =2. :(x-1) 2 +y 2 =2
