In the ellipse x 2/2+y 2 =1,a=√2, b= 1, c= 1, and the left focus F 1(- 1, 0).

The linear equation with an inclination of 60 when intersecting with F 1 is y=√3(x+ 1).

Substituting into the elliptic equation, we get x 2+2 * 3 (x+ 1) 2 = 2.

-& gt； 7x^2+ 12x+4=0

-& gt； x 1，x2=(-6+'-2√2)/7

y 1，y2 = 3(x+ 1)= 3( 1+' 2√2)/7 =(3+'-2√6)/7

|ab|^2=(x2-x 1)^2+(y2-y 1)^2

=(4√2/7)2+(4√6/7)2

= 128/49

∴|AB|=8/7*√2