追问数学题的实质是什么、为什么有这样的结论,就会使数学题具有培养学生创造性的功能。题目(2014年高考数学江西卷理科第20题)如图1,已知双曲线C:x~2/a~2-y~2=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)。(Ⅰ)求双曲线C的方程; To ask what is the essence of a math problem and why there is such a conclusion, it can make math problems have the function of cultivating students’ creativity. Title (2014 Entrance Examination Mathematics Jiangxi Volume 20) As shown in Figure 1, the right focus of the hyperbola C: x ~ 2 / a ~ 2 ~ y ~ 2 = 1 (a> 0) Point A, B respectively in the two asymptotes C, AF ⊥ x axis, AB ⊥ OB, BF // OA (O is the origin of coordinates). (Ⅰ) Find the equation of hyperbolic C;