用参数方程:
x=√98 cosa=7√2cosa,y=7sina,
|AB|^2
=(7√2cosa)^2+(7sina-5)^2
=98(cosa)^2+49(sina)^2-70sina+35
=49(cosa)^2+49-70sina+35
=49(1- sin^2 a)+84-70sina
=49- 49sin^2 a+84-70sina
=- 49sin^2 a+133-70sina
=-(7sin a+5 )^2+158
当sin a=-5/7时,AB最大=√158,
y=7sina=-5,
x=7√2cosa=7√2 √(1-sin^2 a)=±4√3,