2014年高考江西卷理科第20题为:已知双曲线C:x2/a2-y2=1(a>0)的右焦点为F,点A,B分别在C的两条渐近线上,AF⊥x轴,AB⊥OB,BF∥OA(O为坐标原点).(1)求双曲线C的方程;(2)过C上一点P(x0,y0)(y0≠0)的直线l:x0x/a2-y0y=1与直线AF相交于点M,与直线x=32相交于点N.证明:当点P在C上移动时, The 2014 Questionnaire Jiangxi Curriculum Section 20 is: It is known that the right focus of the hyperbola C: x2 / a2-y2 = 1 (a> 0) is F and the points A and B are respectively on the two asymptotes of C, AF ⊥ x axis, AB ⊥ OB, BF ∥ OA (O is the origin of coordinates) (1) Find the equation of hyperbolic C; (2) Line l over point C (x0, y0) : x0x / a2-y0y = 1 Intersects with line AF at point M and intersects line x = 32 at point N. Proof: When point P moves on C,