1、1 2019 8 60 100 一、12 4 48 1.P 5x+3y=1 P A 22 B 2 3 C 2 5 D 42 C 2.C C A B C D D 3 x24 y2 1 F1 l A B F2 ABF2()A 8 B 4 2 C 4 D 2 2 A x24 y2 1 a 2|AF1|AF2|2a 4|BF1|BF2|2a 4 ABF2|AB|AF2|BF2|(|AF1|AF2|)(|BF1|BF2|)4a 8.4.1F 2F C P C 12PF PF 2160 PFF C A 312 B 23 C 312 D 31(1,0)F2114 32 2 y x13 42 2 y x12
2、42 2 y x13 42 2 y x1,2,3 c a b 2 D 12FPF 1 2 2 190,60 FPF PFF 2PF m 1 2 12 2,3 c FF m PF m 122(3 1)a PF PF m 22312(3 1)c c meaa m D 5.x2a2 y2a 6 1 x a()A(6 2)B(3)C(6 2)(3)D(6 3)(2)C a2a 6 a 60 a3 a 6 6a3.6.y kx 1 x25 y2m 1 m()A.m1 B m0 C.0m0 m 5 m m 1 m 5.7 C 22221(0)xyabab 1A 2A 12AA 20 bx ay ab C
3、A 63 B 33 C 23 D 13 3 12AA 2 2 2x y a 20 bx ay ab 222abdaab 223 ab 2 2 2 2 23 2 3 a a c a c 2223ca 63cea A 8 x225 y216 1 P Q F PQF()A 14 B 16 C 18 D 20 C F1 F2|F1Q|PF2|OP|OQ|PQF1|PF1|F1Q|PQ|PF1|PF2|2|PO|2a 2|PO|10 2|PO|2|OP|P Q PQF1(PQF2)PQF 10 2 4 18.9.F1(1,0)F2(1,0)C F2 x C A B|AB|3 C()A 22x y2 1
4、B 22132xy C 22143xy D 22154xy C|AF2|12|AB|32|F1F2|2 4|AF1|2a 32.Rt AF1F2|AF1|2|AF2|2|F1F2|2 232 22.a 2 b2 a2 c2 3.C 22143xy C 10.C 22=143xy A1 A2 P C PA2 2 1 PA1()A 13,24 B 33,84 C 1,12 D 3,14 B P(x0 y0)2200=143xy 2002PAykx 1002PAykx 1222002 2 20033342 4 4PA PAxykkxx.12314PAPAkk.2PAk 2 1 133,84PAk.B
5、.11.Q P,2 62 2 y x 11022 yx Q P,A 2 5 B 2 46 C 2 7 D 2 6 D(10cos,sin)Q(0,6)C Q 2 2 22|(10cos)(sin 6)50 9(sin)50 5 23CQ 2sin3 max max|5 2 2 6 2 PQ CQ r Q P,62 12.C 12(1,0),(1,0)FF F2 C A B.22|2|AF FB 1|AB BF C 5 A 2212xy B 22132xy C 22143xy D 22154xy 2BF x 22 AF x 23 BF AB x.122 BF BF a 42 xa.1224 AF
6、 AF a x 22 AF x 12 AF x.A 0,b.222 AF BF B 3,22b.B 222210 xyabab 291144 a.23 a.1 c 22 b.22132xy.B.4 4 16 13.F1 F2 4 C x2a2 y2b2 1(ab0)P PF1F2 _.2 PF1F2 12|PF1|PF2 F1PF2 12|PF1|PF2|22 12a2.2a 4 a2 4 PF1F2 2.2a 4 a 2.P F1F2 S PF1F2 P S PF1F2 12 c b bc.a2 b2 c2 4 bc b2 c22 2 b c 2 PF1F2 2.14.y x m 2x2 y
7、2 2 16 yxF2 F1OBA6 _.13 y x m 2x2 y2 2 y 3x2 2mx m2 2 0 A(x1 y1)B(x2 y2)x1 x2 2m3 2m3 13 m 12.y x 12 y 16 12 13.A(x1 y1)B(x2 y2)2x21 y21 2,2x22 y22 2.2(x1 x2)(x1 x2)(y1 y2)(y1 y2)0.y1 y2x1 x2 1 x1 x2 13 y1 y22 13 13.15.C 22194xy M C M C A B MN C|AN BN 12 MN P 1FP 2FP AN BN 122 2 2 2 4 12 FP FP a a 1
8、6.C:x2+y2=1+x y C 6 C 2;C 3._.2230241xxy 234x.x-1 0 1 7 1,0,1,1,0,1,0,1,1,0,1,1,6 x 0 221 x y xy 222212xyx y xy x=y 222 xy 222 xy C y 2 C 2 0,1,1,0,1,1,0,1 A B C D 131 1 1 122ABCDS 23ABCDSS.3.2 18 36 17.4x2 y2 1 y x m.(1)m(2).(1)4x2 y2 1 y x m 5x2 2mx m2 1 0-4 4m2 20(m2 1)0-6 52 m 52.-9(2)A(x1 y1)B(
9、x2 y2)(1)5x2 2mx m2 1 0 x1 x2 2m5 x1x2 15(m2 1)-11|AB|x1 x22 y1 y22 2 x1 x22 8 2 x1 x22 4x1x2 2 4m225 45m2 1-14 25 10 8m2.-16 m 0|AB|y x.-18 18.C 22221xyab 0 ab 2,2 P 22 C C,AB 0,4 k C,MN BM AN G 22184xy-4 0,2 A 0,2 B MN 4 y kx 1 1 2 2,M x y N x y-5 224184y kxxy 221 2 16 24 0 k x kx-6 12 21612kxxk 1
10、2 22412xxk-8 AN 2222yyxx BM 1122yyxx-10 22112222yyxxyyxx 21122222yxyy y x,-11 1 1 2 2,M x y N x y 2211184xy 2211 112218 4 4yy xy 1111222yxyx-13 9 1 2 1 2 2 1 2 11 2 1 2 1 22 2 4 2 2 2 2222y y y y y x y yyy y x xx xx-14 12 21612kxxk 12 22412xxk 1 2 1 2 28812y y k x xk-15 221 2 1 2 1 2 1 2 28 164 4 4 1612ky y kx kx k xx k x xk-16 22228 16 16241 2 1 2 21242312kkk yyk 1 y-17 BM AN G 1 y-18
